20. In "x" years from now, one investment plan will be generating profit at the rate of R₁ (x) = 50+ x² pesos per year, while a second plan will be generating profit at the rate R₂ (x) = 200+ 5x pesos per year. For how many years will the second plan be more profitable one? Compute also the net excess profit if the second plan would be used instead of the first. A. 15 yrs, P1687.50 C. 14 yrs, P15640.25 B. 12 yrs, P1450.25 D. 10 yrs, P1360.25

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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20. In "x" years from now, one investment plan will be generating
profit at the rate of R₁ (x) = 50+ x² pesos per year, while a second
plan will be generating profit at the rate R₂ (x) = 200+ 5x pesos per
year. For how many years will the second plan be more profitable one?
Compute also the net excess profit if the second plan would be used
instead of the first.
A. 15 yrs, P1687.50
B. 12 yrs, P1450.25
D. 10 yrs, P1360.25
C. 14 yrs, P15640.25
Transcribed Image Text:20. In "x" years from now, one investment plan will be generating profit at the rate of R₁ (x) = 50+ x² pesos per year, while a second plan will be generating profit at the rate R₂ (x) = 200+ 5x pesos per year. For how many years will the second plan be more profitable one? Compute also the net excess profit if the second plan would be used instead of the first. A. 15 yrs, P1687.50 B. 12 yrs, P1450.25 D. 10 yrs, P1360.25 C. 14 yrs, P15640.25
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