Answer:
[tex]\$314,535,97[/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=7\ years\\ P=\$180,000\\ r=8\%=8/100=0.08\\n=12[/tex]
substitute in the formula above
[tex]A=180,000(1+\frac{0.08}{12})^{12*7}[/tex]
[tex]A=180,000(\frac{12.08}{12})^{84}[/tex]
[tex]A=\$314,535,97[/tex]
