(x) = 5x + 150, or into another account represented by g(x) = 150(1.03)x. Which account has the highest value in 3 years? Which account has the highest value in 10 years? f(x) has the highest value in 3 years; g(x) has the highest value in 10 years g(x) has the highest value in 3 years; f(x) has the highest value in 10 years f(x) has the highest value in 3
Answers
SOLITION
Given:- Principal amount= $150
Given:- Principal amount= $150
First account represented by the function=f(x)=5x+150f(x)=5x+150 →Linear function
Second account represented by the function=g(x)=150(1.03)^xg(x)=150(1.03)
x
→Exponential function
where x is the time period in years.
When x=3 years
f(3)=5(3)+150=15+150=\$165f(3)=5(3)+150=15+150=$165
g(3)=150(1.03)^3=\$163.90g(3)=150(1.03)
3
=$163.90
here, f(x) has the highest value .
When x=10 years
f(10)=5(10)+150=50+150=\$200f(10)=5(10)+150=50+150=$200
g(10)=150(1.03)^{10}=\$201.58g(10)=150(1.03)
10
=$201.58
g(x) has the highest value.
Therefore, f(x) has the highest value in 3 years; g(x) has the highest value in 10 years
First account represented by the function=f(x)=5x+150f(x)=5x+150 →Linear function
Second account represented by the function=g(x)=150(1.03)^xg(x)=150(1.03)
x
→Exponential function
where x is the time period in years.
When x=3 years
f(3)=5(3)+150=15+150=\$165f(3)=5(3)+150=15+150=$165
g(3)=150(1.03)^3=\$163.90g(3)=150(1.03)
3
=$163.90
here, f(x) has the highest value .
When x=10 years
f(10)=5(10)+150=50+150=\$200f(10)=5(10)+150=50+150=$200
g(10)=150(1.03)^{10}=\$201.58g(10)=150(1.03)
10
=$201.58
g(x) has the highest value.
Therefore, f(x) has the highest value in 3 years; g(x) has the highest value in 10 years
Explanation:
Answer: 1. f(x) has the highest value in 3 years; g(x) has the highest value in 10 years
Step-by-step explanation:
Given:- Principal amount= $150
First account represented by the function=→Linear function
Second account represented by the function=→Exponential function
where x is the time period in years.
When x=3 years
here, f(x) has the highest value .
When x=10 years
g(x) has the highest value.
Therefore, f(x) has the highest value in 3 years; g(x) has the highest value in 10 years
hope this helps ✌️✌️