Nishi invests £2500 at a 4% interest rate per year. After 2 years, her investment will grow to £2650. The amount will increase further to £2806 after 4 years, £3071 after 8 years, and £3123.84 after 9 years.
1. To calculate the amount Nishi will have after a certain number of years, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal (initial investment), r is the interest rate (expressed as a decimal), n is the number of times interest is compounded per year, and t is the number of years.
2. In this case, Nishi invests £2500 at a 4% interest rate per year. Since the question doesn't specify the compounding frequency, we'll assume it's compounded annually (n = 1). Plugging in the values, we get:
After 2 years:
A = £2500(1 + 0.04/1)^(1*2)
A = £2500(1.04)^2
A ≈ £2650
After 4 years:
A = £2500(1 + 0.04/1)^(1*4)
A = £2500(1.04)^4
A ≈ £2806
After 8 years:
A = £2500(1 + 0.04/1)^(1*8)
A = £2500(1.04)^8
A ≈ £3071
After 9 years:
A = £2500(1 + 0.04/1)^(1*9)
A = £2500(1.04)^9
A ≈ £3123.84
3. Therefore, Nishi will have approximately £2650 after 2 years, £2806 after 4 years, £3071 after 8 years, and £3123.84 after 9 years, assuming an annual compounding frequency.
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A grocer mixes together some cashews costing $8 per kilogram with some Brazil nuts costing
$10 per kilogram. The grocer sold 12 kg if the mixture for $8.50 per kilogram. How many
kilograms of cashews were in the mixture the grocer sold?
I know the answer is 9 but how do i get that?
9 kilograms of cashews were in the mixture the grocer sold.
To solve the given problem, let x represent the number of kilograms of cashews.
Hence, the number of kilograms of Brazil nuts would be (12 - x) as the grocer sold 12 kg of the mixture.
Therefore, the cost of the cashews at $8 per kilogram is 8(x)
and the cost of the Brazil nuts at $10 per kilogram is 10(12 - x).
Hence, the cost of the mixture at $8.50 per kilogram is:
8.5*(12) = 8(x) + 10(12 - x)
We solve this equation for x:
102 = 8(x) + 120 - 10(x)
2(x)= 18
x = 9
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Does the table represent a function? Why or why not?
xy
3 1
4 3
5 2
6 5
6 6
A. Yes, because every x-value corresponds to exactly one y-value.
B. No, because one x-value corresponds to two different y-values.
C. Yes, because there are different y-values.
D. No, because the y-values are positive.
Option A, "Yes, because every x-value corresponds to exactly one y-value," accurately describes the situation presented in the table. Option A is the proper response, so.
The table represents a function.
A mathematical relationship known as a function is one in which every input (x-value) has exactly one corresponding output (y-value). In the given table:
xy
3 1
4 3
5 2
6 5
6 6
Every x-value in the table corresponds to exactly one y-value. There are no repeated x-values, and for each x-value, there is only one corresponding y-value. The definition of a function is met by this.
The answer given in Option A, "Yes, because every x-value corresponds to exactly one y-value," appropriately sums up the situation shown in the table. Option A is the proper response, so.
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Which histogram depicts a higher standard deviation.
Histograms visualize the distribution and spread of data. A higher standard deviation implies greater variability in the data points. In a histogram, a wider shape indicates a larger spread of data and thus a higher standard deviation. Therefore, the histogram with a broader shape depicts a higher standard deviation.
To determine which histogram depicts a higher standard deviation, we need to look for the histogram with a greater spread or dispersion of data. In a histogram, a higher standard deviation indicates that the data points are more spread out or have a larger variability. This means that the values are more scattered from the mean. Therefore, the histogram with a wider and more spread-out shape would depict a higher standard deviation, as it indicates a greater variability in the data.
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Que es la circunferencia
Answer: you can also search what you said in eniglish aand it would give u a calculater _--_- (
Step-by-step explanation:The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its centre. A meridian is any great circle passing through a point designated a pole.
Let b cannot equal 1 and consider the integral 1 to b (6x-9) dx a) what value of b will make this integral equal to 0? b) sketch a graph of y=6x-9 on the interval from x=1 to x=b to verify your answer in (a)
a) To find the value of b that makes the integral equal to 0, we need to solve the integral:
∫(1 to b) (6x - 9) dx = 0
Applying the fundamental theorem of calculus, we can find the antiderivative of the integrand and evaluate it at the limits of integration:
[3x² - 9x] (from 1 to b) = 0
Substituting the limits, we have:
(3b² - 9b) - (3(1)² - 9(1)) = 0
Simplifying further:
3b² - 9b - 6 = 0
Now we can solve this quadratic equation for b using the quadratic formula or factoring:
b² - 3b - 2 = 0
Factoring the quadratic equation, we get:
(b - 2)(b + 1) = 0
Setting each factor to zero, we find two possible values for b:
b = 2 or b = -1.
However, since b cannot equal 1 (as stated in the problem), the only valid solution is b = 2.
b) To verify our answer, we can sketch a graph of y = 6x - 9 on the interval from x = 1 to x = b = 2. The graph will be a straight line with a slope of 6 and y-intercept at -9.
On the interval [1, 2], the line starts at the point (1, -3) and ends at the point (2, 3). By calculating the area under this line, we find that the integral from 1 to 2 of (6x - 9) equals 0, confirming our previous result.
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When performing a dilation or a composition of a dilation and rigid transformations on a triangle, what properties of the original triangle preserved?
When performing a dilation or a composition of a dilation and rigid transformations on a triangle, several properties of the original triangle are preserved. In both cases, the shape and orientation of the triangle remain the same while the size and location of the triangle change.
During a dilation, the original triangle is extended or shrunk in size uniformly. All sides of the triangle are extended or shrunk by the same factor, which is the scale factor of the dilation. The angle measures of the triangle remain unchanged during dilation, and the corresponding angles of the dilated triangle remain equal.In a composition of a dilation and rigid transformation, the original triangle is first dilated and then subjected to a rigid transformation like rotation, translation, or reflection.
The shape and orientation of the original triangle are preserved, and the size and location of the dilated triangle change. The angle measures of the triangle remain unchanged during dilation, and the corresponding angles of the dilated triangle remain equal. During the subsequent rigid transformation, the corresponding sides and angles of the dilated triangle are also preserved.
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Karen drew a plan for a rectangular piece of material that she will use for a blanket. Three of the vertices are (−1.3,−3.1), (−1.3,1.2), and (1.1,1.2). What are the coordinates of the fourth vertex?
The coordinates of the fourth vertex are (1.1, -3.1).
We know that a rectangular piece of material has two pairs of parallel sides and four right angles. Therefore, we can calculate the distance between two opposite sides by using the distance formula. The two sides that are parallel to the x-axis have the same y-coordinate, and the two sides parallel to the y-axis have the same x-coordinate.
Thus, the distance between opposite sides is given by the difference between the x-coordinates or the difference between the y-coordinates. The x-coordinates of the vertices are −1.3, −1.3, and 1.1. So the difference between them is 1.1 − (−1.3) = 2.4. The y-coordinates of the vertices are −3.1, 1.2, and 1.2. So the difference between them is 1.2 − (−3.1) = 4.3. The fourth vertex is located at the point with an x-coordinate of 1.1 and a y-coordinate of −3.1. Therefore, the coordinates of the fourth vertex are (1.1, -3.1).
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Milo wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice mixture that is 20% lemon juice and 80% lime juice to make 4 gallons of the 50% lemon/50% lime juice mixture? 0. 5 gallon 1. 5 gallons 2 gallons 2. 5 gallons.
To solve this problem, we can set up an equation based on the volume of lemon juice in the mixture:
Let's assume Milo needs to add x gallons of 100% lemon juice.
The total volume of the final mixture is given as 4 gallons, and it should be a 50% lemon juice and 50% lime juice mixture.
The initial mixture contains 20% lemon juice, which means it contains 20% of 4 gallons = 0.2 * 4 = 0.8 gallons of lemon juice.
So, the equation becomes:
0.8 gallons (initial lemon juice) + x gallons (additional 100% lemon juice) = 0.5 * 4 gallons (final lemon juice)
Simplifying the equation:
0.8 + x = 2
Subtracting 0.8 from both sides:
x = 2 - 0.8
x = 1.2
Therefore, Milo needs to add 1.2 gallons of 100% lemon juice to make 4 gallons of the 50% lemon/50% lime juice mixture.
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Matt made the model below to help him solve math problem Complete the expression that matches matt's model
The expression that matches Matt's model is 1/3 × 3/4.
From the given model,
A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
The expression to represent the model
1/3 × 3/4
= 1/4
Therefore, the expression that matches Matt's model is 1/3 × 3/4.
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Sam road his bike 2/5 of a mile and walked another 3/4 of a mile . How far did he travel ?
The distance Sam traveled is 1.15 miles.
Given: Sam road his bike 2/5 of a mile and walked another 3/4 of a mile.
To find the total distance Sam traveled,
we need to add the distance he traveled while riding his bike to the distance he traveled on foot.
To do that, we need to find a common denominator for 2/5 and 3/4.
The smallest common multiple of 5 and 4 is 20.
So, we'll rewrite 2/5 and 3/4 with a denominator of 20.2/5 = 8/20 (multiply the numerator and denominator by 4)
3/4 = 15/20 (multiply the numerator and denominator by 5).
Now, we can add these two fractions together: 8/20 + 15/20 = 23/20.
So, Sam traveled 23/20 of a mile, which is equivalent to 1 3/20 miles or 1.15 miles (rounded to the nearest hundredth).
Therefore, the distance Sam traveled is 1.15 miles.
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Walter had new carpeting installed in his 13-foot by 18-foot family room. He paid $7 per square foot for the carpet and $2 per square foot for the pad under the carpet. What was the total cost for the carpet and pad
Walter had new carpeting installed in his 13-foot by 18-foot family room. He paid $7 per square foot for the carpet and $2 per square foot for the pad under the carpet.
The total area of the room will be A
= l × w= 13 × 18= 234 sq. feet The cost of carpet per square feet is $7. The cost of carpeting the family room is:Total cost of carpeting
= Cost of carpet per sq. ft. × Area of the room
= $7 × 234
= $1638The cost of the pad per square feet is $2.Therefore, the cost of padding the family room is: Total cost of padding
= Cost of pad per sq. ft. × Area of the room
= $2 × 234
= $468The total cost of the carpet and pad will be the sum of the cost of the carpeting and the cost of the padding. Total cost of carpet and pad
= Total cost of carpeting + Total cost of padding
= $1638 + $468
= $2106Hence, the total cost of the carpet and pad is $2106.
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What is the value of n when 3/5 of n is 27? Enter answer in the box
n = 45 satisfies the equation, and it is the value that makes 3/5 of n equal to 27. The value of n can be determined by setting up an equation based on the given information that 3/5 of n is equal to 27.
By solving the equation, we can find the value of n. Let's set up the equation based on the given information:
(3/5) * n = 27
To solve for n, we need to isolate n on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of 3/5, which is 5/3:
n = 27 * (5/3)
Simplifying the right side of the equation:
n = (27 * 5) / 3
n = 135 / 3
n = 45
Therefore, the value of n is 45. We can confirm this by substituting n = 45 back into the equation:
(3/5) * 45 = 27
(3/5) * 45 = 135/5 = 27
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If the frequency of a FM wave is 8. 85 × 107 hertz, what is the period of the FM wave? A. 2. 58 × 10–8 seconds B. 1. 13 × 10–8 seconds C. 1. 25 × 10–7 seconds D. 5. 82 × 10–7 seconds.
The period of the FM wave is 1.13 × 10–8 seconds.
The correct option is B. 1. 13 × 10–8 seconds.
How to find the period of an FM wave.
The period of a wave can be defined as the time required to complete one cycle.
The period is represented by the symbol T.
It is measured in seconds (s).
Frequency is the number of cycles per second. It is measured in Hertz (Hz).
It is represented by the symbol f.
The formula for finding the period of a wave is given by:
T = 1/f
Given that the frequency of a FM wave is 8.85 x 10⁷ Hertz.
We have to find the period of the FM wave.
The period of the FM wave can be found using the formula:
T = 1/f
Where frequency
= 8.85 × 107 Hz
T = 1/fT
= 1/8.85 x 10⁷T
= 1.13 × 10–8 seconds
Therefore, the period of the FM wave is 1.13 × 10–8 seconds.
Thus, option B is the correct answer.
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A hockey goalie loses 235rating points each time his team loses. If his team loses 8 games in a row, what number represents the change in the goalie's rating points?Negative 20 and StartFraction 4 over 5 EndFractionNegative 4 and StartFraction 4 over 5 EndFraction16 and three-fifths20 and four-fifths
The change in the goalie's rating points after his team loses 8 games in a row is -20 and 4/5.
The goalie loses 235 rating points each time his team loses. If his team loses 8 games in a row, we need to calculate the total change in his rating points.
To find the total change, we multiply the loss per game (235) by the number of games lost (8).
235 * 8 = 1880
Therefore, the goalie's rating points decrease by 1880. However, the answer options provided are in mixed number format, so we need to convert 1880 to a mixed number.
To convert 1880 to a mixed number, we divide 1880 by the denominator (5) and express the remainder as the numerator:
1880 ÷ 5 = 376 with a remainder of 0
Hence, the mixed number representation of 1880 is 376 and 0/5, which simplifies to 376.
Therefore, the change in the goalie's rating points after losing 8 games in a row is -376, or in mixed number form, -376 and 0/5, which further simplifies to -376 and 4/5.
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The number of siblings each student at a softball game has is recorded. The graph below shows the probability distribution of having any number of siblings, X, for a randomly selected student. Which number of siblings is least likely? A probability distribution has number of siblings on the x-axis and probability on the y-axis. The probability of 0 siblings is 0. 21; 1 sibling is 0. 33; 2 siblings is 0. 24; 3 siblings is 0. 14; 4 siblings is 0; 5 siblings is 0. 8. 0 siblings 3 siblings 4 siblings 5 siblings.
The number of siblings which is least likely can be identified by observing the probabilities given for each possible number of siblings of a randomly selected student.
The least likely number of siblings can be considered as the one that has the smallest probability of being selected.
We can see that the probabilities of having 0 siblings, 1 sibling, 2 siblings, 3 siblings, 4 siblings, and 5 siblings are given below:
The probability of 0 siblings is 0.21.
The probability of 1 sibling is 0.33.
The probability of 2 siblings is 0.24.
The probability of 3 siblings is 0.14.
The probability of 4 siblings is 0.
The probability of 5 siblings is 0.08.
From these probabilities, we can see that the probability of having 4 siblings is 0, which means there is no possibility of randomly selecting a student with exactly 4 siblings. Therefore, having 4 siblings is the least likely scenario based on the given probability distribution.
Therefore, by looking at the graph above, we can see that the least likely number of siblings is 4 siblings.
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16 oz = 1 lb
it says to write it in two unit multipliers.
The two-unit multipliers for the conversion of 16 oz to 1 lb are as follows are 16 oz / 1 lb and 1 lb / 16 oz
Unit multiplier refers to a way to convert one unit of measurement to another unit of measurement by multiplying it by a ratio of two equivalent units. This ratio is known as the conversion factor. A unit multiplier can be used to convert from one unit to another because it represents the relationship between the two units of measure.
There are different methods to convert between units of measure. One of these methods is the use of unit multipliers. The use of unit multipliers is an effective way of converting between units because it is straightforward and consistent with the basic principles of mathematics.
The two-unit multipliers for the conversion of 16 oz to 1 lb are 16 oz / 1 lb and 1 lb / 16 oz. The first ratio represents the number of ounces in one pound, while the second ratio represents the number of pounds in one ounce. To convert 16 oz to pounds, we multiply by the ratio of 1 lb / 16 oz. To convert 1 lb to ounces, we multiply by the ratio of 16 oz / 1 lb.
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A Mad Professor has created a new kind of creature called a Blorg. For each Blorg, one hour after it is born, it gives birth to a new Blorg. Two hours after it is born, it gives birth to two more new Blorgs and then it immediately dies. If the Professor starts with one newborn Blorg at noon, how many live Blorgs does he have at 4:05 PM that afternoon after the new Blorgs have been born and the 2-hour-olds have died?
Blorgs have a lifespan of two hours, and after that, they die. The newborn Blorgs continue the reproductive cycle, but all Blorgs born before 3 PM would have reached their lifespan and died by 4:05 PM.
To determine the number of live Blorgs the Mad Professor has at 4:05 PM, we need to understand the pattern of Blorg reproduction and lifespan.
From the given information, we know that one hour after a Blorg is born, it gives birth to a new Blorg. Two hours after birth, it gives birth to two more new Blorgs and then immediately dies.
Let's break down the timeline:
At noon, the Professor has one newborn Blorg.
One hour later, at 1 PM, the initial Blorg gives birth to a new Blorg. So, there are two Blorgs now.
Two hours after birth, at 2 PM, the initial Blorg dies, but the newborn Blorg from 1 PM gives birth to two more Blorgs. So, there are four Blorgs now.
At 3 PM, the two newborn Blorgs from 1 PM give birth to two more Blorgs each, resulting in a total of eight Blorgs.
At 4 PM, the four Blorgs that were born at 2 PM die, while the four Blorgs born at 3 PM are still alive. The four living Blorgs are from the second generation.
Now, let's calculate the number of live Blorgs at 4:05 PM:
At 4 PM, there are four living Blorgs.
Since each Blorg lives for two hours, at 4:05 PM, it has been 5 minutes past their lifespan, and all the living Blorgs from the 3 PM generation would have died.
Therefore, at 4:05 PM, the Mad Professor would have zero live Blorgs.
It is important to note that Blorgs have a lifespan of two hours, and after that, they die. The newborn Blorgs continue the reproductive cycle, but all Blorgs born before 3 PM would have reached their lifespan and died by 4:05 PM.
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Which expressions are equivalent to 8. 9 x 6. 2 8. 7? Check all that apply. 9 x 6 9 8. 9 6. 2 8. 7 x 8. 9 x 8. 7 6. 2 8. 7 8. 9 x 6. 2 6. 2 8. 7 8. 9 6. 2 8. 7 8. 9 x 8. 9 6. 2 x 8. 7.
The following expressions are equivalent to 8.9 x 6.28.7: 9 x 6; 6.28.7; 8.9 x 6.2. The product of two numbers, in general, is the outcome when we multiply the numbers together.
It means, when we take two quantities and multiply them, we get the result as a product. Let us understand how the multiplication of numbers works with an example. When we multiply 3 and 4, we get:3 × 4 = 12Here, 3 and 4 are called factors, and the result, 12, is called the product. Equivalent expressions are the expressions that have the same value, but their structures may differ. The expressions can be equivalent if they have the same value, but their format is different .Let's list the expressions that are equivalent to 8.9 x 6.28.7:The product of 9 and 6 is equal to 54. The product of 8.9 and 6.2 is equal to 55.18.The expression 6.28.7 is the same as 55.18. The product of 8.9 and 6.2 is the same as 6.28.7.Therefore, the following expressions are equivalent to 8.9 x 6.28.7:9 x 66.28.78.9 x 6.2.
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Use the Pythagorean Theorem to determine the lengths of QT and RS Show your work
(HURRY I WILL GIVE BRAINLEST)
To determine the lengths of QT and RS using the Pythagorean Theorem, we need additional information such as the lengths of the other sides or the measurements of angles in the triangle. Without this information, we cannot accurately calculate the lengths of QT and RS.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. However, in the given question, we are not provided with any measurements or information about angles in the triangle or the lengths of the other sides.
Therefore, without additional information, we cannot determine the lengths of QT and RS using the Pythagorean Theorem.
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Three minus eleven times a number is more than twenty one minus five times the number (show work)
The solution to the equation is x is less than 1.
Let's assume the number as "x".
The given statement can be translated into an equation as follows:
3 - 11x > 21 - 5x
To solve this equation, we can start by simplifying both sides:
3 - 11x > 21 - 5x
Next, let's gather the terms with x on one side and the constant terms on the other side by adding 11x and subtracting 21 from both sides:
3 - 11x + 11x - 5x > 21 - 5x + 11x - 21
Simplifying further, we get:
-16x > -x
Now, we can divide both sides by -16, but since we are dividing by a negative number, we need to reverse the inequality sign:
-16x / -16 < -x / -16
x < 1
Therefore, the solution to the equation is x is less than 1.
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Around a park, there is a circular walking path with a radius of 500 feet. Sandy walked 135° around the circular path.
Approximately how many feet did Sandy walk around the path? Round your answer to the nearest whole foot
Sandy walked approximately 1,179 feet around the circular path. to calculate this, we can find the circumference of the circle by using the formula C = 2πr, where r is the radius.
In this case, the radius is 500 feet. So, the circumference is approximately 2π(500) = 3,141.59 feet. Since Sandy walked 135° around the path, we can find the fraction of the circle she covered by dividing 135° by 360°. The fraction is approximately 0.375. Multiplying this fraction by the circumference gives us 0.375 * 3,141.59 ≈ 1,178.96 feet, which rounds to 1,179 feet.
Sure! To calculate the approximate distance Sandy walked around the circular path, we first need to find the circumference of the circle. The formula for the circumference of a circle is C = 2πr, where r is the radius. In this case, the radius is given as 500 feet.
Substituting the value of the radius into the formula, we have C = 2π(500) = 1000π. However, it's more convenient to work with an approximate value of π, which is approximately 3.14159. Therefore, the circumference of the circle is approximately 1000 * 3.14159 = 3141.59 feet.
Now, we know that Sandy walked 135° around the circular path. To determine the distance she covered, we need to find the fraction of the circle that corresponds to this angle. Since a complete circle is 360°, the fraction of the circle she covered is 135° / 360° = 0.375.
To find the distance Sandy walked, we multiply this fraction by the circumference of the circle. Therefore, 0.375 * 3141.59 = 1178.96 feet. Rounding this value to the nearest whole foot, Sandy walked approximately 1179 feet around the circular path.
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If 15. 0 g of CaCl2 are present in 250 mL of aqueous solution, what is the concentration of CaCl2 in % (w/v)?
The concentration of CaCl2 in % (w/v) can be calculated by dividing the mass of CaCl2 by the volume of the solution and multiplying by 100. In this case, if 15.0 g of CaCl2 is present in 250 mL of solution, the concentration of CaCl2 can be determined.
The concentration of a solution is commonly expressed as a percentage by weight/volume (% w/v), which represents the mass of solute (in this case, CaCl2) in a given volume of solution. To calculate the concentration, divide the mass of CaCl2 (15.0 g) by the volume of the solution (250 mL) and multiply by 100.
Concentration of CaCl2 in % (w/v) = (Mass of CaCl2 / Volume of Solution) x 100
Substituting the given values:
Concentration of CaCl2 in % (w/v) = (15.0 g / 250 mL) x 100
Simplifying the expression:
Concentration of CaCl2 in % (w/v) = 6.0% (rounded to one decimal place)
Therefore, the concentration of CaCl2 in the given solution is 6.0% (w/v).
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Write it as a fact family
12. 4-3. 2=9. 2
The fact family 12, 4, 3, 2, and 9 demonstrates the relationship between addition and subtraction. In this fact family, when we subtract 3 from 4, the result is 1. If we then add 2 to 1, we get 3. Furthermore, when we subtract 2 from 9, the result is 7. If we add 7 and 2 together, the sum is 9.
In the given fact family, the numbers 4 and 3 are related through subtraction. When we subtract 3 from 4, we get 1. This is represented by the equation 4 - 3 = 1.
On the other hand, the numbers 2 and 1 are related through addition. If we add 2 to 1, the sum is 3. This is represented by the equation 1 + 2 = 3.
Similarly, the numbers 9 and 2 are related through subtraction and addition. When we subtract 2 from 9, we get 7, represented by the equation 9 - 2 = 7. By adding 7 and 2 together, the sum is 9, represented by the equation 7 + 2 = 9.
Therefore, the fact family 12, 4, 3, 2, and 9 demonstrates the relationship between addition and subtraction within the given numbers.
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Molly has biweekly gross earnings of $839. 52. By claiming 1 more withholding allowance, Molly would have $16 more in her take home pay. How many withholding allowances does Molly currently claim? a. 1 b. 2 c. 3 d. 4 Please select the best answer from the choices provided A B C D.
Molly currently claims 2 withholding allowances which can be determined by using rules of allowance.
Given that,
Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
We have to determine,
How many withholding allowances does Molly currently claim?
According to the question,
Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
The withholding allowance is used by a person to pay less amount of tax on his or her income to the government.
Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
Therefore,
It is given that Molly has taken 1 more withholding allowance to pay tax less by the amount of $16.
So he must have possessed at least 1 allowance previously and added 1 more.
So, the minimum number of allowance possessed by Molly = 2
Hence, Molly currently claims 2 withholding allowances.
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Brenda found a store online where he can buy a package of 8-tshirts .these t-shirts sell at the time rate as the t-shirts jacob bought .how much does brendan pay for the package of 8t-shirts?
The amount that Brenda would pay for the 8 t- shirts at the same rate would be $ 37. 60.
How to find the amount paid ?To determine how much Brenda pays for the package of 8 T-shirts, we need to calculate the price per T-shirt based on Jacob's purchase and then multiply it by 8.
Jacob bought 7 T-shirts for $32.90, so the price per T-shirt can be calculated as:
Price per T-shirt = Total cost / Number of T-shirts
Price per T-shirt = $32.90 / 7
Price per T-shirt = $4.70
The cost of 8 shirts is therefore:
Total cost = Price per T-shirt * Number of T-shirts
Total cost = $4.70 x 8
Total cost = $37.60
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Missing detail is:
Jacob bought 7 T shirts for $32.90 Kyle bought 12 T shirts for $60.00
Find the gradient of the line passing through (-4,4) and (-3,1)
To find the gradient (or slope) of the line passing through the points (-4, 4) and (-3, 1), we can use the formula: gradient = (change in y) / (change in x).
Let's calculate the change in y and change in x: Change in y = 1 - 4 = -3. Change in x = -3 - (-4) = -3 + 4 = 1. Now we can substitute these values into the formula: gradient = (-3) / (1) = -3.
Therefore, the gradient of the line passing through the points (-4, 4) and (-3, 1) is -3. The negative sign indicates that the line has a negative slope, meaning it is decreasing as we move from left to right on the coordinate plane.
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The scatter plot below shows data that were collected to compare the amount of television a student watched (hours per week ) and his or her GPA
A reasonable correlation coefficient for these data would be
The scatter plot shows a comparison between the amount of television watched by students (in hours per week) and their GPA. a reasonable correlation coefficient for these data would be close to 0, indicating a weak or negligible correlation.
Based on the scatter plot, we can observe the general trend of the data points. If the points on the plot are more closely clustered around a straight line, it indicates a stronger correlation between the two variables. Conversely, if the points are more spread out and do not follow a clear pattern, it suggests a weaker correlation. To determine the correlation coefficient, we need to assess the direction and strength of the relationship.
If the data points on the scatter plot exhibit a clear upward or downward trend, it indicates a positive or negative correlation, respectively. The correlation coefficient ranges between -1 and 1, with values closer to -1 or 1 indicating a stronger correlation. A correlation coefficient of 0 indicates no linear relationship. Given that the scatter plot does not show a clear pattern or trend, it suggests a weak or no correlation between the amount of television watched and GPA. Therefore, a reasonable correlation coefficient for these data would be close to 0, indicating a weak or negligible correlation.
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What is the surface area of the prism in square inches?A rectangular prism has a height of 2 inches, width of 8 inches, and depth of 11 inches. 90 square inches126 square inches176 square inches252 square inches
The surface area of the prism is 252in²
Given,
Dimensions of rectangular prism:
Height = 2 in
width = 8 in
depth = 11 in
Now,
The surface area of a rectangular prism is given by:
A = 2 * (x * y) + 2 * (x * z) + 2 * (y * z)
where,
x, y, z: are the sides of the rectangular prism
Substituting values we have:
A = 2 * (2 * 8) + 2 * (2 * 11) + 2 * (8 * 11)
A = 252 in²
Hence the surface area of the prism in square inches will be 252 .
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On Monday, you bought 4 cheeseburgers and 6 fries for $62. Tuesday, you bought 7 cheeseburgers and 4 fries for $76. What is the cost of a (cheeseburger, fry)?
The cost of cheeseburgers = $4
And, The cost of fries = $5
We have,
On Monday, you bought 4 cheeseburgers and 6 fries for $62.
And, On Tuesday, you bought 7 cheeseburgers and 4 fries for $76.
Let us assume that,
The cost of cheeseburgers = x
And, The cost of fries = y
Hence, We get;
4x + 6y = 62 .. (i)
7x + 4y = 76 .. (ii)
From (i);
4x + 6y = 62
2x + 3y = 31 .. (iii)
Multiply by 2 in (ii) and multiply 7 in (iii), then subtract,
8y - 21y = 152 - 217
- 13y = - 65
y = 5
From (i);
4x + 3 (5) = 31
4x + 15 = 31
4x = 31 - 15
4x = 16
x = 4
Thus, The cost of cheeseburgers = $4
And, The cost of fries = $5
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Which estimate at a 95% confidence level most likely comes from a small sample?
A. 93% (±24%)
B. 82% (±8%)
C. 78% (±4%)
D. 87% (±6%)
The estimate at a 95% confidence level that most likely comes from a small sample is 93% (±24%). The correct option is A
What is margin of error ?The range of values that is most likely to include the true population parameter is known as the margin of error. The standard error, a gauge of the sample statistic's variability, is used to determine the margin of error.
Option A in this situation has the most margin of error of the four, at 24%. In comparison to the other options, this indicates that the true population parameter is probably within 24% of the sample statistic. This implies that option A's sample size is smaller than that of the other options.
Therefore, the estimate at a 95% confidence level that most likely comes from a small sample is 93% (±24%).
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