A segment has endpoints at (15,−11) and (42,−11). How many units long is the segment?

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

2 years ago

How to find the volume of triangular prism

8_murik_8 [283]

1/2 (length times height)

6 0

3 years ago

Please help my mom is gonna hit me if i don't get it right. <br> the answer is NOT 18

Nookie1986 [14]

Answer:

Lol I hope she didn't hit you yet. The answer is x=14 :)

Step-by-step explanation:

So the first thing that you would want to do is find what 9 is multiplied by to get 21. To do this, we can just do a simple algebraic equation: 9x=21. The answer is 7/3 because mAgIc. So now, we can also multiply 6 by 7/3. this would be 42/3 because of more MaGiC. 42/3 divides into 14 because im just obviously a mage. lol I hope this helped.

6 0

3 years ago

Plss.. help me po goisss:( BRAINLIEST KO PO YUNG TAMANG SAGOT PLSS:(

svetlana [45]

I.)

1.) 7N = 50

2.) 35 - 16 = N

3.) 2P + 8 = 24

4.) R/5 = 9

5.) 30 - 10 = 20

II.)

1.) Twinity increased by eight times N

2.) D decreased by eleven

3.) The quotient of X and nine is K

4.) Five times X

5.) Three times a decreased by 5 is thirteen

6.) Nothing

7 0

3 years ago

Read 2 more answers

Write 3/50 as a decimal and as a percent<br><br> i need help

Alex17521 [72]

Answer:

0.06 and to change that to a percentage all you do is move the decimal point 2 places to the right so the answer would be <u>6</u><u> </u>percent

7 0

4 years ago