A loan L is repaid using increasing payments. The first payment, made at t = 1, is of amount 200, and each subsequent payment increases by a factor of (1.05), with the last payment at t = 20. However, at t = 10, the borrower decides to make an additional payment of X, which allow him to halve the size of the remaining payments (t = 11, ..., 20). Determine L and X if the effective interest is 8%.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 70E
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A loan L is repaid using increasing payments. The first payment, made at t = 1, is of amount 200,
and each subsequent payment increases by a factor of (1.05), with the last payment at t = 20. However, at
t = 10, the borrower decides to make an additional payment of X, which allow him to halve the size of the
remaining payments (t = 11, ..., 20). Determine L and X if the effective interest is 8%.

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