36) The sales decay for a product is given by S = 70000e-0.8× where S is the monthly sales and 36) x is the number of months that have passed since the end of a promotional campaign. How many months after the end of the campaign will sales drop below 1000, if no new campaign is initiated? Round your answers to two decimal places.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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#36

answer is 5.31 months 

learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com
Bb
Bb https://learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5d44406cac91b/274716827?X-Blackboard-Expiration=1638424800000&X-Blackboard-Signature=%2B9Q%2FbBdOYİDGPuZ%2BMaLtkXX80LrFBlkIKKPI1Gp5DEE%3D&X-Blackboard-Cli.
J4) T00UU = 150 e-
J4)
Solve the equation by expressing each side as a power of the same base and then equating exponents.
1
35) 4(7 - 3x)
16
35)
Solve.
36) The sales decay for a product is given by S = 70000e-0.8x where S is the monthly sales and
x is the number of months that have passed since the end of a promotional campaign.
How many months after the end of the campaign will sales drop below 1000, if no new
campaign is initiated? Round your answers to two decimal places.)
36)
37) The demand function for a certain commodity is given by the function p = 100e-q/2.
the price per unit and q is the number of units.) At what price per unit will the quantity
demanded equal 8 units? (Round your answer to the nearest cent.)
(p is
37)
Solve the problem. Round to the nearest cent.
38) $3180 is invest for 9 months at an annual simple interest rate of 7%. How much interest
38)
will be earned?
39) What lump sum do parents need to deposit in an account earning 7%, compounded
monthly, so that it will grow to $100000 for their son's college tuition in 15 years? (Round
39)
your answer to the nearest cent.)
40)
40) What is the compound interest if $460 is invested for 5 years at 8% compounded
continuously? (Round your answer to the nearest cent.)
41) Find the future value of an annuity of $1300 paid at the end of each year for 10 years, if
interest is earned at a rate of 6%, compounded annually. (Round your answer to the
nearest cent.)
41)
42) The Weidmans want to save $35,000 in 4 years for a down payment on a house. If they
make monthly deposits in an account paying 12%, compounded monthly, what is the size
of the payments that are required to meet their goal? (Round your answer to the nearest
cent.)
42)
43) Find the present value of an annuity of $7000 paid at the end of each 6-month period for
interest rate is 8%, compounded semiannually. (Round your answer to the
43)
years
nearest cent.)
Transcribed Image Text:learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com Bb Bb https://learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5d44406cac91b/274716827?X-Blackboard-Expiration=1638424800000&X-Blackboard-Signature=%2B9Q%2FbBdOYİDGPuZ%2BMaLtkXX80LrFBlkIKKPI1Gp5DEE%3D&X-Blackboard-Cli. J4) T00UU = 150 e- J4) Solve the equation by expressing each side as a power of the same base and then equating exponents. 1 35) 4(7 - 3x) 16 35) Solve. 36) The sales decay for a product is given by S = 70000e-0.8x where S is the monthly sales and x is the number of months that have passed since the end of a promotional campaign. How many months after the end of the campaign will sales drop below 1000, if no new campaign is initiated? Round your answers to two decimal places.) 36) 37) The demand function for a certain commodity is given by the function p = 100e-q/2. the price per unit and q is the number of units.) At what price per unit will the quantity demanded equal 8 units? (Round your answer to the nearest cent.) (p is 37) Solve the problem. Round to the nearest cent. 38) $3180 is invest for 9 months at an annual simple interest rate of 7%. How much interest 38) will be earned? 39) What lump sum do parents need to deposit in an account earning 7%, compounded monthly, so that it will grow to $100000 for their son's college tuition in 15 years? (Round 39) your answer to the nearest cent.) 40) 40) What is the compound interest if $460 is invested for 5 years at 8% compounded continuously? (Round your answer to the nearest cent.) 41) Find the future value of an annuity of $1300 paid at the end of each year for 10 years, if interest is earned at a rate of 6%, compounded annually. (Round your answer to the nearest cent.) 41) 42) The Weidmans want to save $35,000 in 4 years for a down payment on a house. If they make monthly deposits in an account paying 12%, compounded monthly, what is the size of the payments that are required to meet their goal? (Round your answer to the nearest cent.) 42) 43) Find the present value of an annuity of $7000 paid at the end of each 6-month period for interest rate is 8%, compounded semiannually. (Round your answer to the 43) years nearest cent.)
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