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Genrish500 [490]
3 years ago
6

A company offering short term loans agrees to lend Nick $1,200. The amount (plus interest) is repayable in one year, and the int

erest rate is 12% per month. What is the total amount that must be repaid? Give your answer in dollars to the nearest dollar.
Mathematics
1 answer:
ella [17]3 years ago
8 0

Answer:

The total amount that must be repaid is $2,928.

Step-by-step explanation:

First, you need to know how much interest Nick will be paying every month.

Provided that he borrowed $1,200 with a 12% interest rate, then, you can calculate the interest rate per month by multiplying these numbers.

So, $1,200 × 12% (0.12) = $144 (interest per month)

In order to get the total amount of interest in one year, you can multiply $144 with 12 (12 months).

So, $144 per month × 12 months = $1,728 (the total amount of interest in 1 year)

In order to get the total amount to be repaid, then you have to add the amount which Nick loaned ($1,200) plus the total amount of interest in 1 year.

So, $1,200 + $1,728 = $2,928

The total amount that Nick needs to repay is $2,928.

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Evaluate u^2 -2u+4 when u= -3
OLga [1]

Answer:

Step-by-step explanation: Sub -3 into where all the u’s are. So it would be

(-3)^2 - 2(-3) + 4

Which would equal 19

6 0
3 years ago
HELP ME ASAP<br><br> Car X travels 268 miles in 4 hours.
Stels [109]

Answer:

what your question is but it travels 67 miles in an hour

Step-by-step explanation:

take 268 divide by 4 you get 67

7 0
3 years ago
Find the length of the arc and express your answer as a fraction times pie
Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}

To find the length of the arc, s, the formula is

\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}

Substitute the variables into the formula to find the length of an arc, s above

\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}

Hence, the length of the arc, s, is 3π units.

4 0
11 months ago
Priya makes bracelets for her online store. Her monthly business expenses are $520. She sells an average of 80 bracelets per
ch4aika [34]

Answer:

B

Step-by-step explanation:

Profit = total revenue - total cost

total revenue = 80 x b

total cost = 520

the profit has to be at least $1240

80 x 22 = 1760

1760 - 520 = 1240

b is correct

5 0
3 years ago
. An object dropped from a height of 200 meters has a height, h(t), in meters after t seconds have lapsed, such that h(t) = 200
Veronika [31]

Answer:

t(h)= (h-200)/-4.9

The time to reach a height of 50 meters is 30.6 seconds

Step-by-step explanation:

To express t as a function of height (h) we must transform the equation below:

h=200-4.9t

h-200=-4.9t

(h-200)/-4.9=t

t(h)= (h-200)/-4.9

To find the time to reach a height of 50 meters, we must replace this value on the new equation:

t(h)=50-200/-4.9

t(h)= 30.612

The time to reach a height of 50 meters is 30.6 seconds

8 0
3 years ago
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