#36answer is 5.31 months learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.comBbBb 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.135) 4(7 - 3x)1635)Solve.36) The sales decay for a product is given by S = 70000e-0.8x where S is the monthly sales andx 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 newcampaign 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 quantitydemanded equal 8 units? (Round your answer to the nearest cent.)(p is37)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 interest38)will be earned?39) What lump sum do parents need to deposit in an account earning 7%, compoundedmonthly, so that it will grow to $100000 for their son's college tuition in 15 years? (Round39)your answer to the nearest cent.)40)40) What is the compound interest if $460 is invested for 5 years at 8% compoundedcontinuously? (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, ifinterest is earned at a rate of 6%, compounded annually. (Round your answer to thenearest cent.)41)42) The Weidmans want to save $35,000 in 4 years for a down payment on a house. If theymake monthly deposits in an account paying 12%, compounded monthly, what is the sizeof the payments that are required to meet their goal? (Round your answer to the nearestcent.)42)43) Find the present value of an annuity of $7000 paid at the end of each 6-month period forinterest rate is 8%, compounded semiannually. (Round your answer to the43)yearsnearest cent.)

The given formula is: S=70000e-0.8x Where S=monthly sales and x= number of monthsNow, when S=1000, 1000=70000e-0.8x⇒0.01428571429=e-0.8x⇒ln0.01428571429=-0.8x⇒-4.248495242=-0.8x⇒x=5.310619053 At x=5.4, S=70000e-0.8×5.4=70000e-4.32=70000×0.01329988354=930.991848<1000 Hence, the required answer is: after 5.3 months the sales drop below 1000.