Concept explainers
Home Mortgage The term t (in years) of a $200,000 home mortgage at 7.5% interest can be approximated by
where x is the monthly payment in dollars.
(a) Use a graphing utility to graph the model.
(b) Use the model to approximate the term of a home mortgage for which the monthly payment is $1398.43. What is the total amount paid?
(c) Use the model to approximate the term of a home mortgage for which the monthly payment is $1611.19. What is the total amount paid?
(d) Find the instantaneous rates of change of t with respect to x when
(e) Write a short paragraph describing the benefit of the higher monthly payment.
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Chapter 5 Solutions
CALCULUS
- Use undetermined coefficients to find the particular solution to y"-y-20y=-1768 sin(t) Y(t) =arrow_forwardSolve y"+4y = 0, y y(t) = 4arrow_forwardPerform long division on the integrand, write the proper fraction as a sum of partial fractions, and then evaluate the integral. 30x³-60x²+8 dx 2 x-2x After performing the long division, write the resulting proper fraction as a sum of partial fractions. Evaluate the integral. 30x³-60x²+8 2 x² -2x dx=arrow_forward
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- 2. f(x)=√7-x 4. A manufacturer has a monthly fixed cost of $40,000 and a production cost of $8 for each unit produced. The product sells for $12 per unit. 1. What is the cost function? 2. What is the revenue function? 3. Compute the profit corresponding to 12,000 units. 5. A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs $0.30 per ft2, the material for the sides cost $0.10 per ft2, and the material for the top costs $0.20 per ft2. Letting x denote the length of one side of the base,arrow_forwardSolve using superposition principlearrow_forwardreview problems please help!arrow_forward
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