Respuesta :

SOLUTION:

Case: Compound Interest

Given:

deposit= $1000

rate= 7.2%

time= 5 years

Required: Find the account balance after 5 years

Method:

Step 1: Recall the Compound interest formula.

Amount, A is given as:

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

Step 2:

From the above, n=1 because the interest is compounded annually,

Hence plugging the values gives

[tex]\begin{gathered} A=1000(1+\frac{0.072}{1})^{1\times5} \\ A=1000(1.072)^5 \\ A=1415.71 \end{gathered}[/tex]

Final answer:

The account balance after 5 years is $1415.71