you find a mutual fund that offers approximately 4 % APR compounded monthly. How much will you need to invest each month for the next 6 months in order to have $500?

Respuesta :

Answer:

amount need to invest in a month = $ 40.84

Step-by-step explanation:

given data

Future value A = $500

interest rate r = 4% = 0.04

Time period t = 6 month  = 0.5 year

solution

we get here future value formula that is

A = [tex]P\times (1+\frac{r}{n})^{nt}[/tex]   .....................1

here n is 12 in a year and r is are and t is time period

put here value and we get

$500 = [tex]P\times (1+\frac{0.04}{12})^{12\times 0.5}[/tex]  

solve it we get

P = $490.11

so amount need to invest in a year= $490.11

and amount need to invest in a month = [tex]\frac{490.11}{12}[/tex]  

amount need to invest in a month = $ 40.84

Answer: $82.64

Step-by-step explanation: