cost of maintaining a home generally increases as the home becomes older. Suppose that the maintenance costs increase at a rate of 1900e0.5x (dollars per year) when the home is x years old. (a) Find a formula for the total maintenance cost during the first x years. (Total maintenance should be zero at x = 0.) M(x) = (b) Use your answer to part (a) to find the total maintenance cost during the first 4 years. (Round your answer to the nearest dollar.)
cost of maintaining a home generally increases as the home becomes older. Suppose that the maintenance costs increase at a rate of 1900e0.5x (dollars per year) when the home is x years old. (a) Find a formula for the total maintenance cost during the first x years. (Total maintenance should be zero at x = 0.) M(x) = (b) Use your answer to part (a) to find the total maintenance cost during the first 4 years. (Round your answer to the nearest dollar.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Question
The cost of maintaining a home generally increases as the home becomes older. Suppose that the maintenance costs increase at a rate of
1900e0.5x (dollars per year) when the home is x years old.
(a) Find a formula for the total maintenance cost during the first x years. (Total maintenance should be zero at
M(x) =
(b) Use your answer to part (a) to find the total maintenance cost during the first 4 years. (Round your answer to the nearest dollar.)
$
x = 0.)
M(x) =
$
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