(a) What will be the capital expenditure 3 months from now? How many units will be producedat this time?(b) At what rate will production be changing with respect to time 5 months from now?Will production be increasing or decreasing at this time? x+ 2(i) Find the rate of change of the function f(x) :(ii) The number of units Q of a particular commodity that will be produced with Kwith respect to x when x = 1.1- 8xthousand dollars of capital expenditure is modeled by Q(K) = 500 K3.Suppose that capital expenditure varies with time in such a way that t months from nowthere will be K(t) thousand dollars of capital expenditure, where2t* + 3t + 149K(t) =t+2

Answered: Image /qna-images/answer/aba3cb66-3aa8-4b08-aa7a-711bb47ea40b.jpg

Answered: (a) What will be the capital…

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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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)
2. How long will it take you to get ten times your money at 2% interest compounded continuously.
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.
12. On a diet program, a person loses weight at a rate of yt + 4t pounds/month t months after starting. If the person weighs 350 pounds at the start of the program, how much will he weigh after 9 months?
The formula for computing the amount of money in a savings account with an r% annual in- r t erest rate (compounded each year) t years after opening with $P is given by A(t) = P (1 + 100 o compound each year (or annually) means that the interest is computed and added to the ac- ount once a year. The interest the next year is computed on the new account value (with the revious year's interest included). 1. Eloisa plans to put $200 in a savings account with a 3.5% annual interest rate. (a) Write a function for how much money will be in the account in t years. (b) How much will be in the account after 5 years? (c) How long will it take to have $400 in the account? Explain how you found your answer.
. 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
3% during each of the past 6 years and that a member of COLAS Suppose the cost-of-living index had increased by the EUW Union had been guaranteed an annual increase 3% during each of the past 6 years and that a member e equal to 2% above the increase in the cost-of-living index over that period. What would be the present salary of a union member whose salary 6 years ago was $42,000?
(1.1) Your client wants to buy a house in 10 years. They currently have $1,400 saved up and are going to save $225 per month towards a downpayment. They will put this money in a safe account that does not earn any interest. How much will they have in the account after 5 years?
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
(2) The population of the world in 1995 was about 5.7 billion, and the estimated relative growth rate is 2% per year. If the population continue to grow at this rate. (b) By what year will the population have doubled? When will it have tripled?
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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