Monique borrows $5000 for 3 years at 8% per annum simple interest.
How much interest is she charged?
What total amount must she repay?
Answers
Answer:
1200 dollars for interest, she must pay 6200
Step-by-step explanation:
8 percent of 5000 is 400 times 3 (years) is 1200
Answers:
a) $1200 in interest is charged.b) $6200 must be paid back in total.=============================================
Work Shown:
a)
i = P*r*t
i = 5000*0.08*3
i = 1200 is charged in simple interest
---------------------------
b)
She must pay back the amount borrowed ($5000) which is the principal as well as the interest calculated in part a) earlier.
The total amount she must pay back is 5000+1200 = 6200 dollars
Related Questions
Jeremy is conducting a survey about his coworkers’ in-office water consumption to encourage management to install more water dispensers at their location. He found that the population mean is 112.5 ounces with a standard deviation of 37.5. Jeremy has a sample size of 96. Complete the equation that Jeremy can use to find the interval in which he can be 99.7% sure that the sample mean will lie. 37.5 112.5 75 96 150 9.8
Answers
Using the z-distribution, as we have the standard deviation for the population, it is found that the 99.7% confidence interval is given by:
[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.99.7% confidence level, hence[tex]\alpha = 0.997[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.997}{2} = 0.9985[/tex], so [tex]z = 3[/tex].
The other parameters are:
[tex]\mu = 112.5, \sigma = 37.5, n = 96[/tex]
Hence, the interval is:
[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]
To learn more about the z-distribution, you can check https://brainly.com/question/25890103
The picture is above I’ll mark as brainliest.
Answers
Answer:
A. 42 [tex]u^{2}[/tex]
Step-by-step explanation:
The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.
Finding the area:
length × width
= 7 × 6
= 42 [tex]u^{2}[/tex]
Find the surface area of a cylinder that has the following information:
Height = 30 cm
Diameter = 10 cm
Answers
Answer:
[tex]A=1099.56cm^{2}[/tex]
Step-by-step explanation:
Formula to ind surface area of cylinder:
[tex]A=2\pi \frac{d}{2} h+2\pi (\frac{d}{2} )^{2}[/tex]
[tex]A=2\pi \frac{10}{2} (30)+2\pi (\frac{10}{2} )^{2}[/tex]
[tex]A=1099.557443cm^{2}[/tex]
Therefore, area will be:
[tex]A=1099.56cm^{2}[/tex]
hope this helps :)
Please Help!!!!!!!!!
Answers
Answer:
The answer is D. 3
A rectangle measures 8/3 inches by 9/4 inches. What is its area?
Answers
Answer:
To find the area, you have to multiply the length times the width
Step-by-step explanation:
Answer:
The area of this rectangle is 6 square units.
Step-by-step explanation:
Multiply the width (8/3 inches) by the height (9/4 inches) to get the rectangle area:
8 9
----- * -----
3 4
8 * 9
This results in ---------- which itself reduces to 6.
4 * 3
The area of this rectangle is 6.
Mario can eat 21 hot dogs in 6 minutes. At the same place, how many minutes would it take him to eat 35 hot dogs?
Answers
Answer:
10 minutes
Step-by-step explanation:
Mario can eat e21 hot dog in 6 minutes
Let 35 hot dog eats in x minutes :
[tex]\frac{35}{x} =\frac{21}{6} \\x=\frac{35(6)}{21} \\x=10 min[/tex]
Therefore, mario would eat 35 dogs in 10 min.
What is the square unit of this figure?
Answers
Answer:
58
Step-by-step explanation:
Area = Area of entire recangle - area of cut out
a = (10 * 7) - (6 * 2)
a = 70 - 12
a = 58
The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be used to model
their distance, in miles, from home after t hours of driving.
part a:find D(12) and interpret the meaning in the context of the problem. part b: if D(t) =2490, find the value of t and interpret its meaning in the context of the problem
Answers
Answer:
See below.
Step-by-step explanation:
D(t) = 3260 - 55t
The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.
part a:
D(12) = 3260 55(12)
D(12) = 3260 - 660
D(12) = 2600
Interpretation: After 12 hours of driving home, they are 2600 miles from home.
part b:
D(t) = 2490
3260 - 55t = 2490
-55t = -770
t = 14
Interpretation: When they are 2490 miles from home, they have driven for 14 hours.
The difference between 32.6 and a number is 10.2. Which equation can be used to solve this problem?
32.6 minus y = 10.2
y minus 36.2 = 10.2
10.2 minus y = 32.6
y + 32.6 = 10.2
Answers
Answer:
The answer is 10.2-y=32.6 D. y+32.6=10.2
Step-by-step explanation:
Given : The difference between 32.6 and a number is 10.2
Let the number be : y
⇒ 32.6 - y = 10.2
⇒ 32.6 minus y = 10.2
Which equation could be represented by the number line?
A. 3+ (-4) = -1
B. -3 + 4 = 1
C. 1 + (-5) = -4
D. -4 + 5 = 1
Answers
9514 1404 393
Answer:
A. 3+ (-4) = -1
Step-by-step explanation:
The arrow indicates a subtraction of 4, or an addition of -4. The only equation containing such a subtraction or addition is choice A.
How many solutions does the system of equations have? Pls help :(
Answers
Given the system of equations below:
[tex] \large{ \begin{cases} y = 2x + 1 \\ - 4x + 2y = 2 \end{cases}}[/tex]
The first equation is y-isolated so we can substitute in the second equation.
[tex] \large{ - 4x + 2(2x + 1) = 2}[/tex]
Use the distribution property to expand in and simplify.
[tex] \large{ - 4x + 4x + 2 = 2} \\ \large{0 + 2 = 2 \longrightarrow 2 = 2}[/tex]
The another method is to divide the second equation by 2.
[tex] \large{ \frac{ - 4x}{2} + \frac{2y}{2} = \frac{2}{2} } \\ \large{ - 2x + y = 1}[/tex]
Arrange in the form of y = mx+b.
[tex] \large{y = 1 + 2x \longrightarrow y = 2x + 1}[/tex]
When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.
For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.
Answer
Infinitely ManyHope this helps. Let me know if you have any doubts!
35 points. Brainliest gets double the points.
Answers
Using the box method solve (x-4)(5x+3
Answers
Answer:
= X(5x+3)-4(5x+3)
= 5x²+ 3x- 20x-12
= 5x²-17x-12
Answer:
5x(squared)-17x-20
Step-by-step explanation:
Imperial measurements help please
Answers
Answer:
1. a. miles or feet
b. inches
c. ounces
d. gallons
2. a. 1:36
b. 1/1
c. 63,360
Step-by-step explanation:
Factor the expression. b2 + 7b − 18
Answers
b2+7b−18 using ac method. (b-2)(b+9)
A rope is 9 1/2 meters long. How many pieces can be cut from the rope if
each piece is to be 1/4 meter?
Answers
A landscaper is selecting two trees to plant. He has five to choose from. Three of the five are deciduous and two are evergreen.
What is the probability that he chooses trees of two different types? Express your answer as a percent.
30%
40%
50%
60%
Answers
Answer:
The probability that he chooses trees of two different types is 30%.
Step-by-step explanation:
Given that a landscaper is selecting two trees to plant, and he has five to choose from, of which three of the five are deciduous and two are evergreen, to determine what is the probability that he chooses trees of two different types must be performed the following calculation:
3/5 x 2/4 = 0.3
2/5 x 3/4 = 0.3
Therefore, the probability that he chooses trees of two different types is 30%.
Answer:
Actually the right answer is 60%! Not 30 %! (つД｀)･ﾟ･
Step-by-step explanation:
What is 5/2x + 2y = 5
Answers
Answer:
y= -x+1/2
Step-by-step explanation:
Use an algebraic approach to solve the problem.
Aura took three biology exams and has an average score of 87. Her second exam score was 11 points better than her first, and her third exam score was 5 points better than her second exam. What were her three exam scores?
Answers
Answer:
Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.
Step-by-step explanation:
Use the formula for the mean: sum of elements / number of elements
Let x represent her first exam score.
Her second exam score can be represented by x + 11, since it was 11 points better than her first.
Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.
Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):
mean = sum of elements / number of elements
87 = ( (x) + (x + 11) + (x + 11) + 5 ) / 3
Add like terms and solve for x:
87 = (3x + 27) / 3
261 = 3x + 27
234 = 3x
78 = x
So, her first score was a 78.
Find her second score by adding 11 to this:
78 + 11 = 89
Find her third score by adding 5 to the second score:
89 + 5 = 94
Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
-8 X 3 = -24 + 9 = -15 or you could do -24+9=-15
Step-by-step explanation:
Hope this helps
Which input value produces the same output value for the two functions on the graph?
x = −1
x = 0
x = 3
x = 4
Answers
First, I would take one of the stated inputs and plug it into the given equation.
Then, I would see what I get and decipher if it matches with any of the two graphs!
Hope this somewhat helps :)
Which square—large, medium, or small—covers more of the plane? In 2-3 sentences, explain your reasoning for choosing the large, medium or small square.
Answers
Answer:
The large square covers more
Step-by-step explanation:
Given
See attachment for squares
Required
Which covers more plane
The large square has the highest dimension and by extension, it has the highest area.
This means that, less large squares will be needed to cover more areas compared to other sizes of the squares.
Take for instance, the following analysis;
Large square
Dimension: 3 by 3;
[tex]Area=3*3 = 9[/tex]
Medium Square
Dimension: 2 by 2
[tex]Area = 2 * 2 = 4[/tex]
Small square
Dimension: 1 by 1
[tex]Area = 1 * 1 = 1[/tex]
The square with the largest area covers more of the plane.
Hence, the large square covers more of the plane
2(x-7)<-12
Help!! I need this for my math
Answers
Answer:
x < 1
Step-by-step explanation:
2(x-7)<-12
Divide by 2
2(x-7)/2<-12/2
x-7 < -6
Add 7 to each side
x-7+7 < -6+7
x < 1
m to the power of 5 ×m to the power of 6 × n to the power of 11 over m to the power of 3 × n to the power of 5 × n
Answers
Step-by-step explanation:
[tex] \frac{( {m}^{5} \times {m}^{6} \times {n}^{11})}{ {m}^{3} \times {n}^{5} \times n} \\ = \frac{ {m}^{11} \times {n}^{11} }{ {m}^{3} \times {n}^{6} } \\ = {m}^{8} \times {n}^{5} \\ = {m}^{8} {n}^{5} [/tex]
Answer:
[tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]
Step-by-step explanation:
m to the power of 5 = m⁵
m to the power of 6 = m ⁶
n to the power of 3 = n³
n to the power of 11 = n¹¹
[tex]m^5 \times m^6 \times n^{11}[/tex] over [tex]m^3 \times n^5 \times n^1[/tex] = [tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]
Simplified form:
[tex]m^{(5+6-3)} \times n^{(11 - 5- 1)} = m^8 \times n^{6}[/tex]
which ratio is equivalent to the ratio 2:52
Answers
Answer:
1:26
Step-by-step explanation:
You can divide both sides by 2.
Go step by step to reduce the radical.
V216
Answers
Answer:
[tex]6\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{216}[/tex]
factorise 216
[tex]\sqrt{2*2*2*3*3*3}[/tex]
since it is square root (meaning it has index to) pair up the number
[tex]2*3\sqrt{2*3[/tex]
[tex]6\sqrt{6}[/tex]
Informal settlers who live nearby coastal areas and river side throw away about 4 million disposable diapers per year. how many diapers are thrown away each month??.
need help ༼ つ ◕_◕ ༽つ
Answers
Answer:
333,333 Three hundred and thirty-three thousand , three hundred and thirty-three
Step-by-step explanation:
4000000/12
What are the factors of x^2 + 8x + 12?
Answers
Answer:
(x+2)(x+6)
Step-by-step explanation:
that is the answer because math
=>x^2+8x+12
=>x^2+6x+2x+12
=>x(x+6)+2(x+6)
=>(x+6)(x+2)
Hope it helps you
There are 2 vending
machines in an office
building.
The drink machine is
restocked by Derek every
24 days.
The snack machine is
restocked by Emily every
16 days.
If Derek and Emily met
today, in how many days
will they meet again?
Answers
Answer:
32 days
Step-by-step explanation:
Derek
24 then 48 then 72
Emily
16 then 32 then 48
16 + 16 =32
Answer:
48 days
Step-by-step explanation:
answer is in photo above
find the lowest common multiple of 24 and 16
Find the slope that passes through 9,7 and 2,4
Answers
Answer:
slope is 3/7
Step-by-step explanation:
use the formula y2 - y1 / x2 - x1
