The amount of revenue generated by a food deliveries company (in billions of dollars) can be approximated by the function f(x) = 0.769(1.125)*,where x = 1 corresponds to the first quarter of the year 2018. Find the first full quarter in which the revenue generated from food deliveries exceededthe following amounts.(a) $4.9 billion(b) $6.9 billion(a) The first full quarter in which the revenue generated exceeded $4.9 billion was the(Type a whole number.)quarter of the yearthirdfirstfourthsecond

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Answered: The amount of revenue generated by a…

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) The cost of first-class postage stamp was 7¢in 1965 and 70¢ in 2010.This increase represents exponential growth. Write the function S for the cost of a stamp t years after 1965 (t=0). b) What was the growth rate in the cost? c) Predict the cost of a first-class postage stamp in 2013, 2016,and 2019. d) The Forever Stamp is always valid as first-class postage on standard envelopes weighing 1 ounce or less, regardless of any subsequent increases in the first-class rate. An advertising firm spent $7000 on 10,000 first-class postage stamps in 2009. Knowing it will need 10,000 first-class stamps in each of the years 2010-2020, it decides at the beginning of 2010 to try to save money by spending $7000 on 10,000 Forever Stamps, but also buying enough of the stamps to cover the years 2011 through 2020. Assuming there is a postage increase in each of the years 2013, 2016, and 2019 to the cost predicted in part (c), how much money will the firm save…
10.A savings bond offers interest at a rate of 6.0%, compounded monthly. Suppose that an $8000 bond is purchased a)Write an equation for the value of the investment as a function of time, t, in years. b) Determine the value of the investment after 5 years. c)How long will it take for the investment to triple in value, to the nearest tenth of a year?
A country used the function M(t)=3.45(1.56)^t to estimate the inflation rate on a gallon of milk t years since 2020. What does 1.56 represent?
The population of Afghanistan is growing at 2.6 % per year. a. Write a formula for the population of Afghanistan as a function of time. Use A for the initial population. S(t) = Ae^2.6t Preview 其 b. In 2005, the population of Afghanistan was 29.9 million. At the current rate of growth, how long will it take the population to reach 40 million? Answer exactly or round to 3 decimal places. After 11.19 * years Preview Message instructor about this question
The demand for ceiling fans can be modeled below as D(p) = 25.62(0.996P) thousand ceiling fans where p is the price (in dollars) of a ceiling fan. (a) According to the model, is there a price above which consumers will no longer purchase fans? Explain why or why not. The model is exponential and ---Select--- ✓the horizontal axis. Therefore there ---Select--- above which consumers will not purchase a ceiling fan. (b) Calculate the amount that consumers are willing and able to spend to purchase 17 thousand ceiling fans. (Round your answer to three decimal places.) thousand (c) How many fans will consumers purchase when the market price is $100? (Round your answer to three decimal places.) thousand fans (d) Find the consumers' surplus when the market price is $100. (Round your answer to three decimal places.) thousand
16. A graphing calculator was purchased for Po dollars in 2018. The value of the calculator P (in dollars) can be expressed as a function of t, the number of years since 2018. Write a formula for P if the value of the calculator decreases by 7% each year. (a) P(t) = Po(0.07) (b) P(t) = Po – (0.07) (c) P(t) = Po(0.93) (d) P(t) = Po(0.3) (e) P(t) = Po - (0.93)
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.
A principal of 250 OR is deposited in an account that pays 0.064 interest compounded yearly. Account balance function in response of time (years)is f(x) = P(1+r)* P: initial value r: interest compounded yearly x: time in year a. Find the account balance after 5 years. b. By graphing show if the Account balance function is increasing or decreasng. c. After how many years the account balance will be 12000 OR.
Q5) A project that will cost $50,000 today, $100,000 in two years from today and $150,000 in five years from today will yield net returns of $5,000 monthly for 10 years. If the cost of money is 9% compounded annually, find the NPV of the project. (16.2)
A radioactive material loses mass according to the exponential relation y = 170 n (3) 28 where y is measured in grams and n is the number of days. Determine the amount of material remaining after 29 days.
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