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Antonio has just graduated from four years of college. For the last two years, he took out a Stafford loan to pay for his tuition.
Each loan had a duration of ten years and interest compounded monthly. Antonio will pay each of them back by making
monthly payments, starting as he graduates. Antonio's loans are detailed in the table below.
Subsidized?
Year
Junior
Senior
Loan Amount ($)
5,894
5,258
Interest Rate (%)
6.9
7.5
Once all of his loans are paid off, what will Antonio's total lifetime cost be? Round all dollar values to the nearest bent.
a $16,246.80
b. $17,804.40
c. $7,593.16
d $9,874.76

Respuesta :

Answer:

The answer is A on Edg 2020

Step-by-step explanation:

Antonio has just graduated from four years of college. For the last two years, he took out a Stafford loan to pay for his tuition.

Ver imagen la997393

Antonio's total lifetime cost was $11,680.99.

How to calculate the cost of Antonio's total life time?

Given that Antonio has just graduated from four years of college, and for the last two years, he took out a Stafford loan to pay for his tuition, and each loan had a duration of ten years and interest compounded monthly, and Antonio will pay each of them back by making monthly payments, starting as he graduates, and on Junior Year he borrowed $5,894 at 6.9% per year, and on Senior Year he borrowed $5,258 at 7.5% per year, to determine, once all of his loans are paid off, what will Antonio's total lifetime cost be, the following calculation must be made:

  • 5894 x (1 + 0.069/12)^(12x10) = X
  • 5894 x 1.00575^120 = X
  • 5894 x 1.9897 = X
  • 11,727.76 = X
  • 5258 x (1 + 0.075)^(12 x 10) = X
  • 5258 x 1.00625^120 = X
  • 5258 x 2.1120 = X
  • 11,105.23 = X
  • 11,727.76 - 5894 + 11,105.23 - 5258 = 11,680.99

Therefore, Antonio's total lifetime cost was $11,680.99.

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