Brian's statement shows a previous balance of $4248.64, a payment of $250, and new transactions totaling $326.

What is his new balance if his APR is 12.3%

A. 3998.64
B. 4365.63
C. 4368.97
D. 5064.47

Respuesta :

4,248.64−250
=3,998.64

3,998.64+3,998.64×(0.123
÷12)+326
=4,365.63

Answer:

Option B- The new balance is $4365.63

Step-by-step explanation:

Given : Brian's statement shows a previous balance of $4248.64, a payment of $250, and new transactions totaling $326. His APR is 12.3% .

To find :  What is his new balance?  

Solution :

Previous balance = $4248.64

Payments = $250

First we find the unpaid balance,

Unpaid balance = Previous balance - Payments

                           = $4248.64 - $250

Unpaid balance  = $3998.64

Rate of interest= 12.3%=0.123

Now, we find the finance charge

Finance charge = Finance rate × Unpaid balance

Finance charge = [tex]\frac{0.123}{12}\times3998.64=40.986[/tex]

Finance charge = $40.986

New balance =  Unpaid balance + finance charge + new transaction

New balance =  $3998.64 +$40.986+ $326

New balance =$4365.626

Therefore, Option B is correct.

The new balance is $4365.63