Deposits of ​$200 per month are put into an investment plan that pays an APR of 6.5​%. How much money will be in the plan after 18​years?

Respuesta :

Answer:

The money will be $7455.97.

Step-by-step explanation:

Given : Deposits of ​$200 per month are put into an investment plan that pays an APR of 6.5​%.

To find : How much money will be in the plan after 18 ​years ?

Solution :

There is a deposit of $200 per month.

For 1 year the principle value is [tex]P=200\times 12=2400[/tex]

The rate of interest is r=6.5%=0.065

The time is t=18 years

Apply compound interest formula,

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

[tex]A=2400(1+0.065)^{18}[/tex]

[tex]A=2400(1.065)^{18}[/tex]

[tex]A=2400\times 3.1066[/tex]

[tex]A=7455.97[/tex]

Therefore, The money will be $7455.97.

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