8. The manager of an appliance manufacturing firm determines that when toasters are priced at p dollars apiece, the numbersold each month can be modeled by300A(p) =PThe manager estimates that t months from now, the unit price of the toasters will be p(t) = 0.04ť² + 18.5 dollars. At whatrate will the monthly demand for toasters, A(p), be changing two years from now? Will it be increasing or decreasing at thistime?

Answered: Image /qna-images/answer/45c7fe47-0199-436e-a408-e44cb20257e0.jpg

Answered: 8. The manager of an appliance…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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3. A principal of (A) OR is deposited in an account that pays A/100 interest compounded yearly. Account balance function in response of time (years)is B(y) = 1(1+ c)" I: initial value A=347, W=19, R=9347 c: interest compounded yearly v: time in vear a. Find the account balance after W months. b. Show by graphing if B(y) function is increasing or decreasing. c. After how many years the account balance will be (R) OR.
A company estimates that the cost of new capacity additions follows the function f(y) = 0.0358y0.66, where y is the number of units and f(y) in millions of dollars. Demand is increasing at a rate of 3,500 units per year. The company uses a 10% per year interest rate. What is the present value of the cost of the next nine capacity additions?
2. A loan Lis repaid using increasing payments. The first payment, made at t = 1, is of amount 200, and each subsequent payment increases by a factor of (1.05), with the last payment at t = t= 10, the borrower decides to make an additional payment of X, which allow him to halve the size of the remaining payments (t = 11, ., 20). Determine L and X if the effective interest is 8%. 20. However, at %3D
3. If it takes exactly one minute to drain a 10-gallon tank of water, the volume of water remaining in the tank can be approximated by v(t) = 10(1-t)², where t is time in minutes, 0sts 1. Graph the function. How much time has passed when there is only 2.5 gallons of water left in tank?

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