how much must you deposit in an account that pays 6.25% interest compounded annually to have a balance of $700 after 2 years
Accepted Solution
A:
Answer:[tex]\$620.07[/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=2\ years\\A=\$700\\ r=0.0625\\n=1[/tex] substitute in the formula above and solve for P[tex]700=P*(1+\frac{0.0625}{1})^{2}[/tex] [tex]700=P*(1.0625)^{2}[/tex] [tex]P=700/(1.0625)^{2}[/tex] [tex]P=\$620.07[/tex]