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Doris put $4000 in a 2-year CD paying 6% interest, compounded monthly. After 2 years,she withdrew all her money. What was the amount of the withdrawl?

Respuesta :

A=4,000×(1+0.06÷12)^(12×2)
A=4,508.64

Answer:

The amount of the withdrawal after 2 years will be $ 4508.64

Step-by-step explanation:

Given : Doris put $ 4000 in a 2-year CD paying 6% interest, compounded monthly.          

We have to find the amount of the withdrawal.

Since given the principal amount is $ 4000 for 2 years  and

Rate is 6% = 0.06  

Since, interest is calculated compounded monthly

so monthly interest rate is [tex]\frac{6}{1200}[/tex]

Using Formula for compound interest

[tex]A=P(1+r)^n[/tex]

Where A is amount

r is interest rate

n is time period

Substitute, we have,

[tex]A=4000\left(1+\frac{6}{1200}\right)^{\left(12\cdot2\right)}[/tex]

Simplify, we have ,

A = 4508.64

Thus, The amount of the withdrawal after 2 years will be $ 4508.64