Answer:
[tex]\$173,319.50[/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\\ A=\$260,000\\ r=5.2\%=5.2/100=0.052\\n=1[/tex]
substitute in the formula above
[tex]260,000=P(1+\frac{0.052}{1})^{1*8}[/tex]
solve for P
[tex]260,000=P(1.052)^{8}[/tex]
[tex]P=260,000/(1.052)^{8}=\$173,319.50[/tex]
