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A successful author invests some of his earnings in two accounts for 1 year. the function f(x)=.05 models the interest he earns on x dollars invested in the first account. the function g(x)=.075(x+2500) models the interest he earns from the second account, in which he invests $2500 more than in the first account.
Evaluate (f+g)(18,500) and interpret what it means in this situation

Respuesta :

Answer:

2500

Step-by-step explanation:

Just took the quiz and got it correct. :)

The value of [tex](f+g)(18500)[/tex] is [tex]\Dollar 16675[/tex] dollars.

Interest earning :

The interest he earns on x dollars invested in the first account is given by,

                     [tex]f(x)=0.05x[/tex]

The interest he earns from the second account,

                   [tex]g(x)=0.075(x+2500)[/tex]

[tex]f(x)+g(x)=0.05x+0.75(x+2500)\\\\f(x)+g(x)=0.05x+0.75x+1875\\\\f(x)+g(x)==0.8x+1875\\\\(f+g)(18500)=(0.8*18500)+1875\\\\f(x)+g(x)=14800+1875\\\\f(x)+g(x)=16675[/tex]

Learn more about the interest rate here:

https://brainly.com/question/25545513

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