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3 years ago

A loan of $900 will be repaid in 36 installment payments of $30.22 each. What the finance charge for the loan?

1 answer:

3 0

First you need to multiply 36 *$30.22=$1087.92
This gives you the total amount paid

Then subtract 1087.92-900=187.92
This gives you the amount of money you paid in finance charges.

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Find the surface area of the right triangular prism shown

Inessa05 [86]

The surface area of the triangular prism is 144 cm²

<u>Explanation:</u>

Given:

Base of the triangle = 4

Height of the triangle = 3

Hypotenuse of the triangle = 5

Length of the prism = 11

Surface area of the rectangular prism = ?

Surface area, A = $ah+bh+ch+\frac{1}{2} \sqrt{-a^4 + 2(ab)^2 + 2(ac)^2 - b^4 + 2(bc)^2 - c^4}$

On substituting the value, we get:

$A = 4 X 11+ 3X11+5X11+\frac{1}{2} \sqrt{-(4)^2 + 2(4X3)^2 + 2(4X5)^2 - 3^4 + 2(3X5)^2-5^4} \\\\A = 144 cm^2$

Therefore, the surface area of the triangular prism is 144 cm²

6 0

3 years ago

Ms. Whodunit needs $15 000 to go on her dream vacation in four years. How much

lisov135 [29]

For each situation, we have that:

11) Using compound interest, it is found that she needs to invest $9,781.11 now.

12) Using the future value formula, it is found that you will have $728,753 after 48 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

In which:

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(t) = 15000, t = 4, r = 0.055, n = 2.

Hence we solve for P to find the amount that needs to be invested.

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$15000 = P\left(1 + \frac{0.055}{2}\right)^{2 \times 8}$

$(1.0275)^{16}P = 15000$

$P = \frac{15000}{(1.0275)^{16}}$

P = $9,718.11.

She needs to invest $9,781.11 now.

<h3>What is the future value formula?</h3>

It is given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

In which:

P is the payment.

n is the number of payments.

r is the interest rate.

For item 12, the parameters are given as follows:

P = 150, r = 0.07/12 = 0.005833, n = 48 x 12 = 576.

Hence the amount will be given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

$V(n) = 150\left[\frac{(1.005833)^{575}}{0.005833}\right]$

V(n) = $728,753.

You will have $728,753 after 48 years.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

6 0

1 year ago

10-root18/root2 = a+broot2

Sauron [17]

Step-by-step explanation:

$\frac{10 - \sqrt{18} }{ \sqrt{2} } = a + b \sqrt{2}$

$\frac{10}{ \sqrt{2} } + \frac{ - \sqrt{18} }{ \sqrt{2} }$

$5 \sqrt{2} + ( \frac{ - \sqrt{18} }{ \sqrt{2} } ) \times \sqrt{2}$

$a = 5 \sqrt{2}$

$b = \frac{ - \sqrt{18} }{ \sqrt{2} }$

8 0

2 years ago

Find the corresponding effective interest rate for 3% per year compounded continuously?

jeyben [28]

Answer:

3.045%.

Step-by-step explanation:

We are asked to find the corresponding effective interest rate for 3% per year compounded continuously.

We will use effective interest formula to solve our given problem.

$r=e^i-1$ , where,

r = Effective interest rate,

e = Mathematical constant,

r = Interest rate in decimal form.

Let us convert given interest rate in decimal form.

$3\%=\frac{3}{100}=0.03$

Substitute values:

$r=e^{0.03}-1$

$r=1.030454533953517-1$

$r=0.030454533953517$

$r\approx 0.03045$

Convert into percentage:

$0.03045\times 100\%=3.045\%$

Therefore, the corresponding interest rate would be 3.045%.

3 0

3 years ago

If I make 65000 a year and 40 hours a week. How much do I make in a hour?

max2010maxim [7]

Answer:

$31.25

Step-by-step explanation:

40x 52 = 2080 65000/2080= $31.25

7 0

2 years ago