Sean puts $600.00 into an account to use for school expenses. The account earns 8%
interest, compounded annually. How much will be in the account after 8 years?
nt
Use the formula A = P 1 + , where A is the balance (final amount), P is the principal
n
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.

Respuesta :

Answer:

[tex]A=\$1,110.56}[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=8\ years\\ P=\$600.00\\ r=8\%=8/100=0.08\\n=1[/tex]  

substitute in the formula above

[tex]A=600(1+\frac{0.08}{1})^{1*8}[/tex]  

[tex]A=600(1.08)^{8}[/tex]  

[tex]A=\$1,110.56}[/tex]