KThe manufacturer's suggested retail price (MSRP) for a particular car is $25,275, and it is expected to be worth $14,427 in 4 years.(a) Find a linear depreciation function for this car.(b) Estimate the value of the car 5 years from now.(c) At what rate is the car depreciating?(a) What is the linear depreciation function for this car?f(x) =(Simplify your answer. Do not include the $ symbol in your answer.)(b) What is the estimated value of the car 5 years from now?(c) At what rate is the car depreciating?The car is decreasing in value an average of $a year.

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Answered: K The manufacturer's suggested retail…

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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A savings account with an interest rate r, which is compounded n times per year, and begins with P as the principal (initial amount), has the discrete nt compounding formula A (t) = P(1+ )". This is because we multiply the amount by itself plus a small amount, determined by the interest rate, and the account grows each time the compounding occurs. For continuous compounding, we use the formula A (t) Pert, and if we have seen this formula before, we may not have gotten a satisfactory answer as to why we use it, other than some vague notion of "compounding infinity times per year". In this exercise, we'll use Bernoulli's Rule to find the connection. It might be helpful to review the "Indeterminate Powers" section of the video before beginning.
You have 500 dollars in your bank account. Suppose your money is compounded every month at a rate of 0.4 percent per month. (a) How much do you have after t years? y(t) = = (b) How much do you have after 80 months? y(80) = (function of t)
Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement : "As the number of compounding periods increases on a fixed investment, the amount of money in the account over a fixed interval of time will increase without bound."
(111) the publisher's net profit, correct to one decimal place. 9. The price of an article is £6,000.00. It is made up as follows: Cost of materials Cost of manufacture 50%: And the rest is profit. If the cost of materials falls by 10% and the cost of manufacture increases by 10% but the price remains the same. 20%: (a) find (i) the new profit (ii) the percentage change in profit3; (b) find the new price of the article if the original profit is maintained.
2. Lijah opened an account at Advantis Credit Union. The balance of her account after x years is represented by the function b(x) = 500(1.05)*. What annual interest rate is Lijah earning? а. b. After how many years did it take for Lijah's balance to double? Show all of your work.
A2 (II)An investment of I grew to a value of £1648.72 after 10 years with continuous compounding at the rate of 5%. Find I.
Investmenta. Graph the function S = 56,000 (1.09t ),whichgives the future value of $56,000 invested at 9%,compounded annually, for t years, 0 <= t <= 15.b. Find the future value of $56,000 invested for13 years at 9%, compounded annually.
. For example, if Eloisa invests in an I-bond which compounds twice a year with APR 8%, 8% then each 6 months, the money in the account will be assessed 4% interest. This 2 is 4% semi-annual growth. Thus the growth factor is 1.04. (a) Fill in the table for how much money is in Eloisa's I-bond at each time after initial investment of $200, assuming the interest rate does not change. 1.5 years 2 years t years t amount 0 months 6 months $200 = 1 year (b) As a percent, how much larger is Eloisa's account after one year compared to her original investment? What was the percent change?
There is a relationship between mortgage amount, number of payments, amount of each payment, how often each payment is made, and the interest rate. The following formula illustrates the relationship: PV= R[1-(1+i)"] i • PV = present value ⚫ i = interest rate per compounding period, as a decimal R = payment amount • n = number of payments Suppose a bank offers you a 3.4% interest rate, compounded semi-annually, on a mortgage amount of $173 112. You pay $1000/mo, or $6000 semi-annually. How long, in years, would it take to pay off the mortgage? a. 80 years b. 60 years c. 20 years od. 40 years e. 10 years A X
A savings account with an interest rate r, which is compounded n times per year, and begins with P as the principal (initial amount), has the discrete nt compounding formula A (t) = P(1+)". This is n because we multiply the amount by itself plus a small amount, determined by the interest rate, and the account grows each time the compounding occurs. For continuous compounding, we use the formula A (t) = Pert , and if we have seen this formula before, we may not have gotten a satisfactory answer as to why we use it, other than some vague notion of "compounding infinity times per year". In this exercise, we'll use Bernoulli's Rule to find the connection. It might be helpful to review the "Indeterminate Powers" section of the video before beginning. Why can we write nt lim,→00 P(1+ )"t P limn¬∞ (1+)™ ? n
A client’s orders are growing consistently at x% per year. A) If three years from now orders are 50% higher than today, what is the annual growth rate (x)? B) Write an expression (in terms of x) for how many years it will take until orders are double what they are currently

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