The amount of foreign earnings (in trillions of dollars) kept overseas can be approximated by the function f(x) = 0.223(1.25), where x = 5 corresponds to theFind the first full year in which the foreign earnings kept overseas exceeds the following amounts.year 2005(a) $1.3 trillion(b) $2.4 trillion...(a) The first full year in which the foreign earnings kept overseas exceeds $1.3 trillion is(Type a whole number.)(b) The first full year in which the foreign earnings kept overseas exceeds $2.4 trillion is(Type a whole number.)

Given, The amount of foreign earnings kept overseas can be approximated by the function f(x) =…

Answered: The amount of foreign earnings (in…

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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The current price of an amateur theater ticket is $20, and the venue typically sells 520 tickets. A survey found that for each $2 increase in ticket price, 20 fewer tickets are sold. (a) Write a function /(x) to represent the revenue of the theater after x price increases. (b) If they maximize their revenue, how many tickets can they expect to sell?
Please answer all parts.
The amount of outstanding consumer debt (in trillions of dollars) is approximated by g(t) = 0.365135 1.076845¹, where t = 0 corresponds to 1980. Find the year in which consumer debt is (a) $2 trillion (b) $9 trillion (a) The consumer debt will reach $2 trillion in the late part of 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?
3. Jeff Jefferson invested $2000 in an account that doubles in value every 5 years. The function that models the growth of his investment is f(x) = 2000-2*, where x is the number of doubling periods. If he leaves the money in the account, how much will he have after 20 years.
A city's population was 28,500 people in the year 2015 and is growing by 950 people a year.(a) Give a formula for the city’s population, P, as a function of the number of years, t, since 2015. Do not use commas in your submitted answer. P= people. (b) What is the population predicted to be in 2020? P= people. (c) When is the population expected to reach 35,000? Round your answer to the nearest integer. The population will reach 35,000 in the year.
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
The declining-balance method of depreciation is an accounting method businesses use to deduct most of the cost of new equipment during the first few years of purchase. Unlike other methods, the declining-balance formula does not consider salvage value. For the value of a crane, the function V(t) = 575000(1 – 0.25)*, where V is value and t is time in years, can be used to find the value of the crane for the first 7 years of use. a. What is the value if the crane after 2 years and 9 months? The value of the crane will be $ b. State the domain of the function. c. State the range of this function.
Graph the function f(x)= -3(x)^x +7
Vinu
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.
The amount of money in an investment is modeled by the function A(t) = 650(0.7969)'. The variable A represents the investment balance in dollars, and t the number of years since 2001. (A) In 2001, the balance was $ (B) The amount of money in the investment is increasing exponentially (C) The annual rate of change in the balance is r = or r = %. (D) In the year 2009 the investment balance will equal Round answer to the nearest penny. %24

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