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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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 
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.)
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