Richard has a balance of $2200 on a credit card with an APR of 31.3% compounded monthly about how much will he save in interest over the course of a year if he transfers his balance to a credit card with an APR 19.1% compounded monthly

Respuesta :

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the answer is 337.49

Answer:

He will save $283.8284

Step-by-step explanation:

We have given that Richard has a balance of $2200 on a credit card with an APR of 31.3 %

So principle amount P = $2200

And he transfers his balance to credit car with an APR of 19.1 %

So net rate of interest = 31.3 - 19.1 = 12.2 %

It is compounded monthly so time period n = 12

And rate of interest [tex]=\frac{12.2}{12}=1.0167%[/tex]

We know that total amount is given by

[tex]A=P(1+\frac{r}{100})^n=2200(1+\frac{1.067}{100})^{12}=$2283.8284[/tex]

So interest will be $2283.8284 - $2200 = $283.8284