107k views
2 votes
Helppppppp!!!! 100points

Helppppppp!!!! 100points-example-1
User Pnichols
by
8.2k points

2 Answers

2 votes

Answer:

$408.73

Explanation:

To determine how much more the SUV will be worth than the car five years after their model years, we first need to calculate how much the car is worth five years after its model year.

The value of the car (in dollars, x years from its model year) can be predicted by the function f(x):

Therefore, to calculate how much the car will be worth five years after its model year, substitute x = 5 into the given function f(x):

Therefore, the car will be worth $6,700.87 five years from its model year.

From observation of the given table, the SUV will be worth $7,109.60 five years from its model year.

To calculate how much more the SUV will be worth than the car five years from their model years, subtract the amount the car will be worth from the amount the SUV will be worth:

Therefore, the SUV will be worth $408.73 more than the car five years after their model years.

User Duroth
by
8.1k points
4 votes

Answer:

$408.73

Explanation:

To determine how much more the SUV will be worth than the car five years after their model years, we first need to calculate how much the car is worth five years after its model year.

The value of the car (in dollars, x years from its model year) can be predicted by the function f(x):


f(x)= 12000(0.89)^x

Therefore, to calculate how much the car will be worth five years after its model year, substitute x = 5 into the given function f(x):


\begin{aligned}x=5 \implies f(5)&=12000(0.89)^5\\&=12000(0.5584059449)\\&=6700.8713388\\&=6700.87\; \sf (nearest\;hundredth) \end{aligned}

Therefore, the car will be worth $6,700.87 five years from its model year.

From observation of the given table, the SUV will be worth $7,109.60 five years from its model year.

To calculate how much more the SUV will be worth than the car five years from their model years, subtract the amount the car will be worth from the amount the SUV will be worth:


7109.60-6700.87=408.73

Therefore, the SUV will be worth $408.73 more than the car five years after their model years.

User Zrfrank
by
8.0k points

Related questions

1 answer
5 votes
157k views
asked Aug 20, 2024 17.0k views
Kushwaha asked Aug 20, 2024
by Kushwaha
7.6k points
2 answers
4 votes
17.0k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.