You wish to make a single deposit into an account so that your deposit money will grow to be worth $50,000 and ten years the count has an APR of 3. 9% compounded monthly how much should you deposit

Respuesta :

Given:

The amount A= $50000

Interest =3. 9 %

Time = 10 years.

Consider the formula to find the amount for compound interest monthly.

[tex]A=P(1+\frac{r}{12})^{12t}[/tex]

Substitute A=50000, r=3.9/100=0.039 and t=10, we get

[tex]50000=P(1+\frac{0.039}{12})^{12\times10}[/tex]

[tex]50000=P(1.00325)^{120}[/tex]

[tex]50000=P\times1.47604707572[/tex][tex]P=\frac{50000}{1.47604707572}=33874.2583638[/tex]

The deposit money should be $33874.26.