You plan on supplementing your income. you would like to withdraw a semiannual salary of $6,951.20 from an account paying 1.75% interest, compounded semiannually. determine the amount needed in the account such that you can withdraw the needed amount at the end of each period for 15 years. round to the nearest cent. a. $239,364.66 b. $182,713.25 c. $184,311.99 d. $237,288.39

Respuesta :

The amount needed in the account is 182,713.25 dollars then the correct option is B.

What is a monthly payment?

The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.

Then the formula of monthly payment (MP) will be

[tex]\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\[/tex]

The formula can be written as

[tex]\rm P = MP \times \dfrac{(1+r)^n-1}{r(1+r)^n}\\[/tex]

You plan on supplementing your income. you would like to withdraw a semiannual salary of $6,951.20 from an account paying 1.75% interest, compounded semiannually.

The amount needed in the account is such that you can withdraw the needed amount at the end of each period for 15 years will be

MP = $6951.20

r = 0.00875

n = 30

Then we have

[tex]\rm P = 6951.20 \times \dfrac{(1+0.00875)^{30}-1}{0.00875(1+0.00875)^{30}}\\\\P = \$182713.25[/tex]

More about the monthly payment link is given below.

https://brainly.com/question/14064255