Thinking Mathematically, Books a la Carte Plus MyLab Math -- Access Card Package (7th Edition)
7th Edition
ISBN: 9780135167458
Author: Robert F. Blitzer
Publisher: PEARSON
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Chapter 8.7, Problem 1E
In Exercises 1-10, use
To determine the regular payment amount, rounded to the nearest dollar.
The price of a home is $220,000. The bank requires a 20% down payment and three points at the time of closing. The cost the home is financed with a 30-year fixed-rate mortgage at 7%.
Find the required down payment.
Find the amount of the mortgage.
How much must be paid for the three points at closing?
Find the monthly payment (excluding escrowed taxes and insurance).
Find the total cost of interest over 30 years.
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The total profit P(X) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x+6x² + 63x+1) (0≤x≤10). a)
Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit?
a) The number of units that should be sold in order to maximize the total profit is ☐
(Simplify your answer.)
Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema.
f(x) = -x3+3x² +24x-4
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
OA. There are no relative maxima. The function has a relative minimum of
at x=
(Use a comma to separate answers as needed.)
OB. The function has relative minimum of at x=
and a relative maximum of
at x=
(Use a comma to separate answers as needed.)
OC. There are no relative minima. The function has a relative maximum of
(Use a comma to separate answers as needed.)
OD. There are no relative extrema.
at x=
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