Cesar is excited that he only has 12 months left before he pays off his credit card completely. his current balance is $3,750 and his apr is 17.5%. but when he is involved in a car accident, he is forced to use his credit card to pay a $1,000 deductible to get his car fixed. how much will cesar’s minimum monthly payment increase if he still wants to pay off his credit card in 12 months?
a.
$83.33
b.
$91.44
c.
$342.91
d.
$434.35

Option B- 91.44 is the correct Answer.

Step-by-step explanation:

Cesar only has 12 months left before he pays off his credit card completely.

His current balance = $3,750

APR                          = 17.5%

Now we use the formula :

PV of annuity =

PV = Present Value

P   = Periodic payment

r    = rate per period

n   = number of period

case 1 :

PV of annuity = $3,750

P = ?

r = 17.5% annually = % monthly monthly

n = 12 months

Now we put the values in formula

⇒ P=

⇒ P =

⇒ P =

⇒ P = 342.91

Case 2 :

PV of annuity = 3750 + 1000 = 4750

P = ?

r = 17.5% annually = % monthly = monthly

n = 12 months

Putting the values in formula

⇒ P=

⇒ P =

⇒ P =

⇒ P = 434.35

Cesar's increased monthly payment will be

434.35 - 342.91 = 91.44

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: