Your aunt is planning to invest in a bank CD that will pay 10.0 percent interest semiannually. If she has $6,000 to invest, how much will she have at the end of four years? (Round your answer to the nearest penny.)

Respuesta :

Answer:

8864.73

Step-by-step explanation:

Given that your aunt is planning to invest in a bank CD that will pay 10.0 percent interest semiannually.

Effective rate = [tex]\frac{10}{200} =0.05[/tex] (since 1 year has 2 half years)

No of half years[tex]= 4(2) =8[/tex]

Final amount when compounded semi annually

=[tex]P(1+\frac{r}{200} )^{nt}[/tex]

Here n = 4years t = no of half years per year = 2

Substitute to get

Final amount

= [tex]6000(1.05)^{8} \\=8864.73[/tex]

ACCESS MORE