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ehidna [41]
2 years ago
8

PLEASE HELPPP!! I need help with both questions

Mathematics
1 answer:
navik [9.2K]2 years ago
3 0

9514 1404 393

Answer:

  • borrow: $21,056.60
  • interest: $1,983.40

Step-by-step explanation:

The relation between the monthly payment (A) and the principal borrowed (P) is ...

  A = P(r/12)/(1 -(1 +r/12)^-n)

where the annual interest rate is r and n is the number of monthly payments.

Then the principal P can be found as ...

  P = $384(12/0.036)(1 -(1 +0.036/12)^-60) ≈ $21,056.60 . . . loan amount

The sum of payments is ...

  $384 × 60 = $23,040.

The difference between the payments made and the loan principal amount is the interest paid:

  $23,040.00 -21,056.60 = $1,983.40 . . . total interest

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<h3>See explanations below</h3>

Step-by-step explanation:

1) Given the recursive function An=an-1 + 3 when a1 = 5, we are  to find the first four terms;

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<em></em>

<em>2) </em>For the recursive function  An=an-1 + 2/3 when a1 = 1

a2 = a1 + 2/3

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a3 = a2 + 2/3

a3 = 5/3 + 2/3

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<em></em>

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a2 = a1 + 12

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a3 = 54

a4 = a3 + 12

a4 = 54+12

a4 = 66

<em>Hence the first four terms of the sequence are 30, 42, 54, 66</em>

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