find the future value, using the future value formula and a calculator. (round your answer to the nearest…

Explanation:

Step1: Identify the compound - interest formula

The compound - interest formula is (A = P(1+\frac{r}{n})^{nt}), where (P) is the principal amount, (r) is the annual interest rate (in decimal form), (n) is the number of times interest is compounded per year, and (t) is the number of years. Given (P=$833), (r = 3.5%=0.035), (n = 2) (compounded semiannually), and (t = 9) years.

Step2: Substitute the values into the formula

First, calculate (\frac{r}{n}=\frac{0.035}{2}=0.0175) and (nt=2\times9 = 18). Then (A=833\times(1 + 0.0175)^{18}). Using a calculator, ((1+0.0175)^{18}\approx1.363499).

Step3: Calculate the future value (A)

(A=833\times1.363499\approx1135.80)

Answer:

(1135.80)