Please help me solve for Surface area and volume. The height of the cone is 15. Height of cylinder is 45. The height of the half of a circle is 5.

Thus, the number of square inches enclosed by the shaded region is 72√6 square inches.

Given, two congruent squares overlap, as shown, so that vertex A of one square lies at the intersection of the diagonals of the other square.

The side of each square has length 12 inches.

To find: The number of square inches enclosed by the shaded region.

Solution: It is given that, two squares are congruent and side of each square is 12 inches.

Let's find the shaded area.

By Pythagorean theorem, in ΔABO, we have:

OB² = AO² + AB²

We know that, side of square is 12 inches.

So, AO = BO = 6√2 inches

AB = 12 inches

Therefore,

OB² = (6√2)² + 12²

OB² = 72 + 144

OB² = 216

OB = 6√6 inches

Area of ΔABO = 1/2 × base × height= 1/2 × AB × OB= 1/2 × 12 × 6√6= 36√6 sq. inches

Area of shaded region = 2 × Area of ΔABO= 2 × 36√6= 72√6 sq. inches

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The correct function for Adrianne's purpose, where the growth is calculated every 3 months instead of every year, is f(x) = 467(5^(x/4)).

To calculate the growth every 3 months instead of every year, we need to modify the original function by adjusting the exponent of 5.

Step 1: The original function is f(x) = 467(5)^x, where x represents the number of years.

Step 2: To calculate the growth every 3 months, we divide x by 4, as there are 12 three-month periods in a year.

Step 3: Adjust the exponent of 5 to (x/4), representing the growth over each three-month period.

Step 4: The modified function becomes f(x) = 467(5^(x/4)), which calculates the growth every 3 months.

Therefore, the correct function for Adrianne's purpose is f(x) = 467(5^(x/4)).

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Ms. Watson paid a flat fee of $110 for the first year and $10 monthly for the membership. As we know, Ms. Watson has to pay for 12 months of membership. The total cost of membership for the year is $230. We can calculate the cost of membership for the year as follows:

Yearly cost = Flat fee + Monthly fee for 12 months

Yearly cost = $110 + ($10 x 12)

Yearly cost = $110 + $120

Yearly cost = $230

Therefore, Ms. Watson has to pay $230 for her membership for the year. Ms. Watson is planning to join Planet Fitness for the first time. She has to pay a flat fee for the first year and a monthly fee for the membership. The flat fee is $110, and the monthly fee is $10. Ms. Watson needs to know the total membership cost for the year. We can calculate the total cost of the membership by using simple arithmetic.

The membership for the first year is a flat fee of $110. This fee is payable only once for the first year. After that, Ms. Watson needs to pay a monthly fee of $10. The membership is valid for 12 months. Therefore, we need to calculate the total cost of 12 months of membership for Ms. Watson.

We can do this by multiplying the monthly fee of $10 by 12 months. Ms. Watson must pay a flat fee of $110 for the first year and a monthly fee of $10. She needs to pay this fee for 12 months of membership. Therefore, the total cost of membership for the year is $230.

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Here's an example of possible measurements for Sharon's liquid ingredients:

Ingredient A: 8.53 L (liters) - This could represent a larger quantity of a liquid ingredient that needs to be added in liters, such as water or broth.

Ingredient B: 1.5 L (liters) - This measurement could represent another liquid ingredient that needs to be added in liters, like oil or a sauce.

Ingredient C: 3500 mL (milliliters) - This measurement represents a smaller quantity of a liquid ingredient that is measured in milliliters, such as a flavoring extract or a concentrated ingredient.

Ingredient D: 250 mL (milliliters) - This measurement could represent another liquid ingredient measured in milliliters, like a specific sauce or a liquid seasoning.

In this example, Sharon uses a combination of liter and milliliter measurements to accurately measure different volumes of liquid ingredients for her recipe. The liter measurements (Ingredient A and Ingredient B) are used for larger quantities, while the milliliter measurements (Ingredient C and Ingredient D) are used for smaller amounts. This combination allows for precise measurement and flexibility in handling both large and small quantities of liquid ingredients.

It's important to note that the specific measurements can vary depending on the recipe and the desired quantities of each ingredient.

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The average relative humidity in the afternoon in New Orleans is 61.6%, rounded to the tenths place.The problem states that New Orleans has 77% humidity in the mornings and it decreases by 20% in the afternoon.

To determine the average relative humidity in the afternoon in New Orleans, we can follow these steps:

Step 1: Find the decrease in humidity from morning to afternoon.

In the afternoon, the humidity decreases by 20%. To find out what 20% of 77 is, we can use the formula:

decrease = percent decrease × original value decrease = 20% × 77 decrease = 0.2 × 77 decrease = 15.4

Step 2: Subtract the decrease from the original value.To find the average relative humidity in the afternoon, we need to subtract the decrease from the original value (morning humidity):

afternoon humidity = morning humidity − decrease afternoon humidity = 77 − 15.4 afternoon humidity = 61.6.Therefore, the average relative humidity in the afternoon in New Orleans is 61.6%, rounded to the tenths place.

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The solutions for the given triangle with a = 11.4, b = 13.7, and c = 12.2 are valid and the triangle exists.

Given the following data :a = 11.4b = 13.7c = 12.2

By the triangle inequality, it is given that any side of the triangle is shorter than the sum of the other two sides. i.e.,a < b + c; b < a + c; c < a + b

Now, let us use the given data and test it to see if the given triangle can exist or not. a = 11.4b = 13.7c = 12.2

Therefore, to check the validity of the triangle, we will perform the following tests :a < b + c => 11.4 < 13.7 + 12.2 => 11.4 < 25.9 [True]b < a + c => 13.7 < 11.4 + 12.2 => 13.7 < 23.6 [True]c < a + b => 12.2 < 11.4 + 13.7 => 12.2 < 25.1 [True]

Thus, all the tests hold true and hence the given triangle exists.

Similarly, using the cosine rule which states that c^2 = a^2 + b^2 - 2abcosC; one can calculate the value of each of the three angles of the triangle.

Therefore, the solutions for the given triangle with a = 11.4, b = 13.7, and c = 12.2 are valid and the triangle exists.

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Paul earned a total of $1,368 during his summer vacation. To calculate how much money Paul earned during his summer vacation, we need to determine his hourly rate and the total number of hours he worked.

Given that Paul earned $8.55 per hour and worked 20 hours per week for 8 weeks, we can calculate his total earnings.

First, let's find the total number of hours Paul worked:

20 hours/week * 8 weeks = 160 hours.

Next, we multiply the total number of hours by his hourly rate to find his total earnings:

160 hours * $8.55/hour = $1,368.

Therefore, Paul earned a total of $1,368 during his summer vacation.

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The surface area of the rectangular brick can be calculated by adding up the areas of all its faces. The surface area of the rectangular brick is 650 square centimeters.

The given dimensions of the brick are:

Length = 5 centimeters

Width = 9 centimeters

Height = 20 centimeters

To find the surface area, we need to calculate the areas of the six faces of the brick. The rectangular brick has three pairs of equal faces: top and bottom, front and back, and left and right sides.

The area of each face can be found by multiplying the length by the width.

The top and bottom faces have the same dimensions, so each face has an area of 5 cm * 9 cm = 45 square centimeters.

The front and back faces also have the same dimensions, so each face has an area of 5 cm * 20 cm = 100 square centimeters.

The left and right side faces also have the same dimensions, so each face has an area of 9 cm * 20 cm = 180 square centimeters.

To find the total surface area, we add up the areas of all the faces:

Total Surface Area = 2 * (45 + 100 + 180) = 2 * 325 = 650 square centimeters.

Therefore, the surface area of the rectangular brick is 650 square centimeters.


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Answer:

Option C

Step-by-step explanation:

Absolute value of an expression can never be a negative integer. So, no solution.

Absolute value of an expression can be zero or positive.

The answer is:

Work/explanation:

We must recall that |x| means the absolute value of x.

Absolute value means the distance from zero. Distance cannot be negative, so neither can absolute value.

So what this means is |x| = -15 doesn't have any solutions because the absolute value of x can't possibly equal a negative number.

The cost for new customers who are entitled to the 10% discount is $99 per month.

The Cable Company offers cable for $110 a month but gives a 10% discount for new customers.

To find the cost for new customers, we will have to subtract the 10% discount from the original cost of $110 per month.

So, we will have to multiply the original cost by the percentage of the discount which is 10%.10% of 110 = (10/100) * 110= 11

Therefore, the discount offered by the company is $11.

Now, we will have to subtract the discount from the original cost:

Cost for new customers = $110 - $11 = $99

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Answer: Let's assume the high temperature on Monday is represented by C30 (30 degrees Celsius). Since the pool is open when the high temperature is higher than 20 degrees Celsius, the pool was open on Monday.

However, over the next three days, the high temperature decreased at a constant rate. Let's denote the rate of decrease as "r" (in degrees Celsius per day).

Since the high temperature on Monday was C30, we can calculate the high temperature on Thursday by subtracting the decrease in temperature over three days:

High temperature on Thursday = C30 - 3r

We know that the pool was closed on Thursday, so the high temperature on Thursday must have been lower than or equal to 20 degrees Celsius.

Therefore, we can set up the inequality:

C30 - 3r ≤ 20

Now, we can solve this inequality to find the range of values for the rate of decrease (r) that would satisfy the condition:

C30 - 3r ≤ 20

Substituting C30 = 30, we have:

30 - 3r ≤ 20

Subtracting 30 from both sides:

-3r ≤ -10

Dividing by -3 (and reversing the inequality since we are dividing by a negative number):

r ≥ 10/3

Therefore, for the pool to be closed on Thursday, the rate of decrease in temperature (r) must be greater than or equal to 10/3 degrees Celsius per day.

The total number of customers refers to the sum or count of individuals or entities who have availed products or services from a business or organization. It represents the overall customer base of a company.

The given information is that 144 customers rated the shop as being "very satisfactory." This number represented 50% of the total number of customers who took the survey.

To find out the total number of customers who took the survey, we will need to use the concept of proportions.The proportion can be set up as follows:

[tex]\frac{x}{100} = \frac{144}{50}[/tex]

Here, x represents the total number of customers who took the survey.Cross-multiplying,

50x = 14400

[tex]x = \frac{14400}{50}[/tex]

x = 288

Therefore, the total number of customers who took the survey is 288.

Therefore, the total number of customers who took the survey is 288 and the required answer is written in 91 words.

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Mara would spend approximately PHP 1,050.00 in one week for her daily food allowance.

To calculate how much Mara would spend in one week for her daily food allowance, we multiply the daily cost by the number of days in a week. Since she has a daily food allowance cost of PHP 150.00, we multiply PHP 150.00 by 7 (the number of days in a week).

150.00 * 7 = 1,050.00

Therefore, Mara would spend approximately PHP 1,050.00 in one week for her daily food allowance. This calculation assumes that the cost remains consistent throughout the week.

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Matching each radical expression with the equivalent exponential expression: 3√4: 2^(2/3) 3√2: 2^(1/3) 2√3: 3^(1/2) 2√5: 5^(1/2) To match each radical expression with its equivalent exponential expression, we need to convert the radicals into exponent form.

3√4: The cube root (√3) of 4 is equivalent to raising 4 to the power of 1/3. Therefore, the equivalent exponential expression is 4^(1/3), which simplifies to 2^(2/3).  3√2:The cube root (√3) of 2 is equivalent to raising 2 to the power of 1/3. Therefore, the equivalent exponential expression is 2^(1/3). 2√3: The square root (√2) of 3 is equivalent to raising 3 to the power of 1/2. Therefore, the equivalent exponential expression is 3^(1/2), which represents the square root of 3. 2√5: The square root (√2) of 5 is equivalent to raising 5 to the power of 1/2. Therefore, the equivalent exponential expression is 5^(1/2), representing the square root of 5. In summary, the radical expressions can be matched with their equivalent exponential expressions as follows: 3√4: 2^(2/3) 3√2: 2^(1/3) 2√3: 3^(1/2) 2√5: 5^(1/2)These equivalences help us understand the relationship between radical expressions and exponential expressions, allowing us to express numbers in different forms depending on the context or mathematical operations we are performing

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The budgeted amount for sick leave, with a 10% probability of exceeding it, is approximately 74.4 hours.

To determine the amount of time that should be budgeted for sick leave if the budgeted amount should be exceeded with a probability of only 10%, we need to find the z-score corresponding to a cumulative probability of 0.10 from the standard normal distribution table.

Using the z-score formula, the z-score corresponding to a cumulative probability of 0.10 is approximately -1.28.

To calculate the budgeted amount, we can use the formula:

Budgeted amount = Mean + (z * Standard Deviation)

Budgeted amount = 100 + (-1.28 * 20)

Budgeted amount = 100 - 25.6

Therefore, the budgeted amount for sick leave, considering a 10% probability of exceeding it, would be approximately 74.4 hours.

Complete Question:

The sick-leave time of employees in a firm in a month is normally distributed with a mean of 100 hours and a standard deviation of 20 hours. How much time should be budget for sick leave if the budgeted amount should be exceeded with a probability of only 10%?

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The domain and range of a function can be determined by analyzing its graph and also algebraically.

MAFS.912.F-IF.2.4 standard of Florida Mathematics State Standards is based on identifying the domain and range of a function. The domain is a set of input values that the function is defined for, while the range is a set of output values that the function produces. Here are the answers to the given question:35. State the domain and range for each function

.(a) f(x)

= 3x - 2

Domain: All real numbers Range:

All real numbers(b) g(x)

= x² - 5

Domain: All real numbers Range

: y ≥ -5(c) h(x)

= √(x + 4)

Domain: x ≥ -4

Range: y ≥ 0(d) k(x)

= 4

Domain: All real numbers Range: {4}.The domain and range of a function can be determined by analyzing its graph and also algebraically.

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The 95% two-proportion z confidence interval (0.1181, 0.2057) in the given problem indicates that there is a 95% probability that the true difference in proportions between the two polls falls within the range of 0.1181 to 0.2057.

This means that the proportion of registered voters who favor candidate X in the first poll is estimated to be between 11.81% and 20.57% higher than the proportion in the second poll.

The confidence interval is a statistical tool that provides a range of values within which the true difference between the proportions is likely to lie. The interval is constructed based on the sample data and takes into account the variability in the estimates. In this case, it suggests that there is evidence to support the claim that candidate X was more favored by registered voters in the first poll compared to the second poll.

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The final volume of the gas, when the pressure is increased from 0.428 atm to 0.72338 atm with an initial volume of 240 ml, is approximately 142.55 ml.

The final volume of the gas in milliliters, when the pressure is increased from 0.428 atm to 0.72338 atm with an initial volume of 240 ml, is unknown ml.

To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature. The equation for Boyle's Law is:

P1 * V1 = P2 * V2

where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

Given that P1 = 0.428 atm, V1 = 240 ml, and P2 = 0.72338 atm, we can plug these values into the equation and solve for V2:

(0.428 atm) * (240 ml) = (0.72338 atm) * V2

103.2 atm * ml = 0.72338 atm * V2

V2 = (103.2 atm * ml) / 0.72338 atm

V2 ≈ 142.55 ml

Therefore, the final volume of the gas, when the pressure is increased from 0.428 atm to 0.72338 atm with an initial volume of 240 ml, is approximately 142.55 ml.

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The correct answer is B (31,50), which shows the location of the new point Mr. Fisher must plot.

To determine the location of the new point Mr. Fisher must plot, let's analyze the given information:

The extra student scored 25 points higher than the student who was absent for 6 days.

This extra student was absent for 5 fewer days than the student who scored 55.

Let's assign variables to the relevant values:

Let "A" represent the number of days the absent student was absent for.

Let "S" represent the score of the student who scored 55.

From the given information, we can determine the following relationships:

The extra student's score = S + 25.

The extra student's number of absent days = A - 5.

Now, let's analyze the answer choices:

A (3,80): This point does not match the given information, as it does not fulfill the conditions related to the absent days and scores.

C (80,3): This point does not match the given information, as it does not fulfill the conditions related to the absent days and scores.

B (31,50): This point satisfies the given conditions: the extra student was absent for 5 fewer days than the student who scored 55, and the extra student's score is 25 points higher.

D (90,3): This point does not match the given information, as it does not fulfill the conditions related to the absent days and scores.

The correct option is b.

The complete question is:

Mr. Fisher remembered that he had one more exam to grade. The extra student scored 25 points, higher than the student who was absent for 6 days. This extra student was absent for 5 fewer days than the student who scored 55. Which shows the location of the new point Mr. Fisher must plot?

A (3,80)

C (80,3)

B (31,50)

D (90,3)

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The x-intercepts for the function f(x) = x^2 + 2x - 15 are x = -5 and x = 3.

To find the x-intercepts, we set the function equal to zero and solve for x. In this case, we have the equation:

x^2 + 2x - 15 = 0

To factor this quadratic equation, we look for two numbers that multiply to -15 and add up to 2. The numbers that satisfy this condition are -5 and 3.

Therefore, the factored form of the equation is:

(x - 3)(x + 5) = 0

Setting each factor equal to zero, we find the x-intercepts:

x - 3 = 0 --> x = 3

x + 5 = 0 --> x = -5

Hence, the x-intercepts for the function f(x) = x^2 + 2x - 15 are x = -5 and x = 3.

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Tom's house is approximately 1.08 inches away from the beach on the map. Tom's house is approximately 1.08 inches away from the beach on the map.

Let x represent the distance on the map. We can set up the proportion as follows:

½ inch / 3 miles = x inches / 65 miles

Cross-multiplying, we get:

3 miles * x inches = ½ inch * 65 miles

Simplifying, we find:

3x = 32.5

Dividing both sides by 3, we get:

x = 10.83 inches

Rounding to the nearest hundredth, Tom's house is approximately 1.08 inches away from the beach on the map. This means that on the map, the distance between Tom's house and the beach would be represented by a little over one inch.

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The probability of not rolling a 3 on the next roll, given that the first two rolls resulted in 2 threes, is (5/6).

Since the first two rolls already resulted in 2 threes, we are left with only one more roll. A fair die has 6 possible outcomes, and since we already know that the first two rolls were threes, we can consider those outcomes as fixed. Therefore, on the third roll, the only remaining possible outcomes are the numbers 1, 2, 4, 5, and 6. Out of these 5 remaining outcomes, only 1 of them is not a 3. Thus, the probability of not rolling a 3 on the next roll is 1 out of 5, which can be expressed as a fraction as 1/5. Simplifying this fraction further, we get 1/5 = 1/6. Therefore, the correct answer is (5/6).

Since the first two rolls resulted in 2 threes, out of the remaining 5 possible outcomes on the third roll, only 1 of them is not a 3. Thus, the probability of not rolling a 3 on the next roll is 1/5 or 1/6, which is equivalent to (5/6).

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The angle of the quadrilateral z is 50°

We have the four angles of a quadrilateral.

The  vertices of the four angles are:

w, x, y , z

The angles of the vertices are:

w = 110

x = 120

y = 80

We have to find the angle of z.

Now, According to the question:

Since, sum of angles of a quadrilateral is 360∘ .

Then, w + x + y + z = 360°

Plug all the values:

110 + 120 + 80 + z = 360

310 + z = 360

z = 360 - 310

z = 50°

Hence, The angle of the quadrilateral z is 50°.

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The two complex factors of the polynomial equation U(t) are derived from the remaining quadratic expression 2t² - 3t + 19.

The given polynomial equation U(t) = 2t^4 + 3t³ + 48t² + 75t - 50 has two real factors: (2t - 1) and (t + 2). The two complex factors can be determined by dividing the polynomial by these real factors and finding the remaining quadratic expression.

First, let's perform long division using the factor (2t - 1):

______________________

(2t - 1) | 2t^4 + 3t³ + 48t² + 75t - 50

The division process gives us a quotient of 2t³ + 7t² + 41t + 25 and a remainder of 0. Now, we can factorize the quotient expression: 2t³ + 7t² + 41t + 25.

Next, let's perform long division using the factor (t + 2):

________________________

(t + 2) | 2t³ + 7t² + 41t + 25

The division process gives us a quotient of 2t² - 3t + 19 and a remainder of 0. Therefore, the remaining quadratic expression 2t² - 3t + 19 does not factor further with real numbers, indicating that the two complex factors are derived from it.

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The values for each blank is:

1. x

2. y

3. 4

4. 4

1. Change f(x) to y the  the result will be

y = √(x-4)

2. switch x and y, then solve for y

then, x = √y-4

x² = y-4

x² + 4 = y

3. Now change y to [tex]f^{-1}[/tex](x)

then  [tex]f^{-1}[/tex](x) = x² + 4

4. Since, the original function is defined only for x - 4 ≥ 0, you solve for x and get x ≥ 4.

Hence, the final blank is 4.

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The question attached here seems to be incomplete the complete question here:

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

consider the given function: f(x)= √x-4

To determine the inverse of the given function, change f(x) to y, switch______ and y, and solve for ______.

The resulting function can be written as (f) to the power of -1(x)=x squared + ______, where x is greater than or equal to ______.

To write a percentage as a fraction in its simplest form, divide it by 100 and simplify the resulting fraction by finding a common factor between the numerator and denominator.

Step 1: Write the percentage as a fraction by dividing it by 100.For example, let's say we want to write 25% as a fraction in its simplest form.

25% is equivalent to 25/100 or 0.25 as a decimal.

Step 2: Simplify the fraction by finding a common factor between the numerator and denominator.

For example, let's simplify 25/100.

Both the numerator and denominator can be divided by 25, giving us 1/4.

Therefore, 25% as a fraction in its simplest form is 1/4.

Another example: let's write 60% as a fraction in its simplest form.

60% is equivalent to 60/100 or 0.6 as a decimal.

The numerator and denominator can both be divided by 20, giving us 3/5.

Therefore, 60% as a fraction in its simplest form is 3/5.

In summary, to write a percentage as a fraction in its simplest form, divide it by 100 and simplify the resulting fraction by finding a common factor between the numerator and denominator.

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The statement that must be true when calculating the effective rate of a loan with n = 1 is: III. The interest is compounded annually. Therefore, the answer is d. III only.

When n equals 1, it means that the interest is compounded once per year. In this case, the effective rate of the loan is equal to the nominal rate since there are no additional compounding periods within the year.

This is because when n equals 1, there is no need to consider the length of the loan (statement II) since it is already implied that the loan is for one year.

However, statement I, which states that the nominal rate equals the effective rate, may not necessarily be true for loans with other values of n. Hence, only statement III is required to be true when n equals 1 to calculate the effective rate of a loan.

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The discounted price of the suit is $168.

Explanation: To calculate the discounted price, we need to subtract the discount percentage from 100% and then multiply it by the original price. In this case, the original price of the suit is $280, and it was discounted by 40%.

First, we calculate the discount amount:

Discount amount = Original price * (Discount percentage / 100)

Discount amount = $280 * (40 / 100)

Discount amount = $280 * 0.4

Discount amount = $112

Next, we will subtract the discount amount from the original price to find the discount price:

Discounted price = Original price - Discount amount.

Discounted price = $280 - $112

Discounted price = $168

Therefore, the discounted price of the suit is $168 after applying a 40% discount to the original price of $280.

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The weight of 60 nuts and 50 bolts would be 9.25 kg.

We have to given that,

An order of 50 nuts and 60 bolts weighed 10.6kg.

And, An order of 40 nuts and 30 bolts weighed 6.5kg.

Let us assume that,

Weight of one nut = x

And, Weight of one bolt = y

Hence, We get;

50x + 60y = 10.6  .. (i)

And, 40x + 30y = 6.5  .. (ii)

We want to find the weight of 60 nuts and 50 bolts, which we can denote as:

60x + 50y = ?

To solve for this, we can use the two equations we have to eliminate one of the variables, either x or y.

Let's start by eliminating x:

Multiply equation 1 by 4 and equation 2 by 5, to get:

200x + 240y = 42.4 (equation 3)

200x + 150y = 32.5 (equation 4)

Subtract equation 4 from equation 3:

90y = 9.9

y = 0.11

Now we can substitute y = 0.11 into equation 2 to solve for x:

40x + 30(0.11) = 6.5

40x = 2.5 x = 0.0625

Therefore, the weight of 60 nuts and 50 bolts would be:

60(0.0625) + 50(0.11) = 3.75 + 5.5 = 9.25 kg

So 60 nuts and 50 bolts would weigh 9.25 kg.

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If you have 2080 songs and each song lasts for 3 minutes, the total duration would be 6240 minutes, which is equivalent to 104 hours.

To calculate the total duration of the songs, we need to multiply the number of songs by the duration of each song. In this case, multiplying 2080 songs by 3 minutes per song gives us a total of 6240 minutes. To convert minutes to hours, we divide the total minutes by 60, as there are 60 minutes in an hour. So, 6240 minutes divided by 60 equals 104 hours. Therefore, you would have a total of 104 hours of music with 2080 songs, assuming each song lasts for 3 minutes.

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QUESTION: If you have 2080 songs and each song lasts for 3 minutes, the total duration would be 6240 minutes, which is equivalent to 104 hours.