If $360 is invested at an interest rate of 4% per year and is compounded quarterly, how much will the investment be worth in 18 years?
The answer is $736.96
formula W=p(1+i/q) (qy)
where p=360 , y=18 (years) , i-0.04 , q=4 (quarterly compounding)
W=360(1+.01)72
=360*2.0471
Answer:
amount = $736.955
Explanation:
given data
principal = $360
interest rate = 4% per year = 0.04
time = 18 year
to find out
how much the investment
solution
we will apply here formula for amount that is express as
amount = principal × \((1 +\frac{r}{q})^{qt}\) ...........................1
here r is interest rate and t is time and q is quarterly compounding that is 4
so put here all value we get
amount = principal × \((1+ \frac{r}{q})^{qt}\)
amount = 360 × \((1+ \frac{0.04}{4})^{4*18}\)
amount = 360 × \((1.01)^{72}\)
amount = $736.955