suppose you invest $50 a month for 5 years into an account earning 8% compounded monthly. After 5 years you leave the noney without making additional deposits, in the account for another 25 years how much will you have in the end?

Respuesta :

Answer:

The amount after another 25 years is $546.79.

Explanation:

Principle amount = $50

Interest rate = 8% compounded monthly.

Time = 5+25 = 30 years

The formula for amount is

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where,

A = total amount  

P = principal or amount of money deposited,

r = annual interest rate  

n = number of times compounded per year

t = time in years

Substitute P=50, r=0.08, n=12 and t=30 in the above formula.

[tex]A=50(1+\frac{0.08}{12})^{12(30)}[/tex]

[tex]A=50(1+\frac{0.08}{12})^{360}[/tex]

[tex]A=546.786482888[/tex]

[tex]A\approx 546.79[/tex]

Therefore the amount after another 25 years is $546.79.