A car dealer sells a new car for $18,000. He also offers to sell the same car for payments of $375 per month for five years. What monthly interest rate is this dealer charging? To solve this problem you will need to use the formula for the present value A of an annuity consisting of n equal payments of size R with interest rate i per time period: R A = 1 - (1 + i)*] Replacing i by x, show that 48x(1 + x)60 – (1 + x)0 + 1 = 0 Use Newton's method to solve this equation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A car dealer sells a new car for $18,000. He also offers to
sell the same car for payments of $375 per month for five
years. What monthly interest rate is this dealer charging?
To solve this problem you will need to use the formula
for the present value A of an annuity consisting of n equal
payments of size R with interest rate i per time period:
R
A =
1 - (1 + i)*]
Replacing i by x, show that
48x(1 + x)60 – (1 + x)0 + 1 = 0
Use Newton's method to solve this equation.
Transcribed Image Text:A car dealer sells a new car for $18,000. He also offers to sell the same car for payments of $375 per month for five years. What monthly interest rate is this dealer charging? To solve this problem you will need to use the formula for the present value A of an annuity consisting of n equal payments of size R with interest rate i per time period: R A = 1 - (1 + i)*] Replacing i by x, show that 48x(1 + x)60 – (1 + x)0 + 1 = 0 Use Newton's method to solve this equation.
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