William invested $5000 in an account that earns 3.5% interest, compoundedannually. The formula for compound interest is A(t) = P(1 + 1!How much did William have in the account after 4 years?OOOOA. $16,607,53B. $5737.62C. $5700D. $5070.37SUBM

Answer:Option B. $5737.62Step-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=4\ years\\ P=\$5,000\\ r=0.035\\n=1[/tex]  substitute[tex]A=\$5,000(1+\frac{0.035}{1})^{1*4}[/tex]  [tex]A=\$5,000(1.035)^{4}[/tex]  [tex]A=\$5,737.62[/tex]