The manufacturer's suggested retail price (MSRP) for a particular car is $24,555, and it is expected to be worth $13,459 in 4 years.(a) Find a linear depreciation function for this car.(b) Estimate the value of the car 7 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 7 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: 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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An employee wants to invest $50,000 in a pension plan. One investment offers 6% compounded semiannually. Another offers 5.25% compounded continuous/y. (a) Which investment will earn more interest in 5 yr? (b) How much more will the better plan earn? (a) After 5 years, the 6% compounded semiannually plan will earn more interest. (b) The better plan will earn $ more. (Round to the nearest cent as needed.) Enter your answer in the answer box and then click Check Answer. All parts showing Clear All P Type here to search DELL esc DI * home prt sc end Insert F %23 2$ & 1. 4 6 8 9 tab Q W E R Y U caps lock A F G K Z C V M. shift ctrl fn alt alt ctrl BLL Inspiron 13 5000 HD NO Webcam Del Mobile Connect |V is
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)
If the Annual Percentage Rate (APR) for a savings account is 1 % compounded monthly, use the equation nt A(t) = P(1 + F)" to answer the following: a) For a principal of $9000, how much is in the account after 9 years? (Round to the nearest cent) $ b) If the original principal was $9000 and the account now has $18000, how many years have passed since the original investment, assuming no other additions or withdrawals have been made? years (Rounded to the nearest year) c) What principal should be invested now so that the account balance is $9000 in 3 years? $ (Rounded to the nearest cent)
11) Suppose that $6500 is invested at 4% for 3 years. Find the total amount present at the end of 3 years if the interest is compounded (a) monthly (b) continuously.
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.
Find the principal invested (P) of amount (A )invested at rate (r )for (t) years, compounded (n) times per year if A = $10,000, r=6.5%, t=6 , n=12 .
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?
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

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