Answer:
After 4 years the amount of money in the account will be $10,704.8
The interest earned is $1,204.8
Explanation:
To calculate future value on a certain amount (principal), with compound interest, the formula below is used:
FV = PV × [tex](1+\frac{r}{n}) ^{n*t}[/tex]
where:
FV = Future value
PV = present value = principal = $9,500
r = interest rate in decimal = 3% = 0.03
n = compounding period per year = quarterly = 3 times per year
t = time in years = 4 years
∴ FV = 9,500 × [tex](1+\frac{3}{0.03}) ^{3*4}[/tex]
FV = 9,500 × [tex]1.001^{12}[/tex]
FV = $10,704.8 (to 1 decimal place)
interest earned = future value - Present value
= 10,704.8 - 9,500 = $1,204.8
