Cynthia had a credit card with a 17% APR and a $3,265 balance. She had budgeted to have the credit card paid off in 24 months. But after missing a single monthly payment, Cynthia’s credit card company has increased her interest rate to 21%. How much extra will Cynthia have to pay in finance charges (interest) because of the increase in her APR if she still pays off the credit card in 24 months?
a. $152.16

b. $272.08

c. $609.32

d. $761.48

Respuesta :

Answer:

The answer is A $152.16

Brainliest please

Step-by-step explanation:

The amount extra that Cynthia will have to pay in finance charges is: a. $152.16.

What is finance charges?

Finance charges can be defined as the way in which a lender is being compensated for lending out to a borrower.

First step

p = 3265

r = 17%=17%/12/100=0.014166

n = 24

EMI=3265×0.014166×(1+0.014166)^24÷(1+0.014166)^24-1

EMI=3265×0.014166×(1.014166)^24÷(1.014166)^24-1

EMI=$161.43

Second step

p = 3265

r = 21%=21%/12/100=0.0175

n = 24

EMI=3265×0.0175×(1+0.0175)^24÷(1+0.0175)^24-1

EMI=3265×0.0175×(1.0175)^24÷(1.0175)^24-1

EMI=$167.77

Third step

Difference=$167.77-$161.43

Difference=$6.34

Finance charges=24 months×$6.34

Finance charges=$152.16

Inconclusion the amount extra that Cynthia will have to pay in finance charges is: a. $152.16.

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