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The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousands of dollars,
after x years.
Mini-Van: f(1) = 32(0.8)*
Sedan: g(t) = 25(0.8)
Write function t that represents the total resale value, in thousands of dollars, of the two vehicles.

Answer :

MrRoyal

Answer:

[tex]h(x) = 57(0.8)^x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 32(0.8)^x[/tex]

[tex]g(x) = 25(0.8)^x[/tex]

Required

A function that represents the total resale value of the two vehicles

To do this, we simply add up the functions

[tex]h(x) = f(x) + g(x)[/tex]

[tex]h(x) = 32(0.8)^x + 25(0.8)^x[/tex]

Factorize

[tex]h(x) = (32 + 25)(0.8)^x[/tex]

[tex]h(x) = 57(0.8)^x[/tex]

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