A bank account has $7000 and earns compoundinterest. It gains at a rate of 4.5% compoundedquarterly. How much money would there be after 8years? Please show work.

Respuesta :

To found the amount of money after 8 years, we will use the formula below:

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

where p is the principal

r is the rate

n is the number the interest is applied

t is the time in year

From the question, P=7000 r=4.5% =0.045 n=4 t=8

substitute the values into the formula and evaluate

[tex]A=7000(1+\frac{0.045}{4})^{4\times8}[/tex][tex]A=7000(1+0.01125)^{32}[/tex][tex]=7000(1.01125)^{32}[/tex][tex]\approx10013.16[/tex]

Hence, there would be $10013.16 after 8 years