The tuition at a public university was $21,000 in 2008. Between 2008 and 2010, thetuition had increased by 15%. Since then, it has continued to grow exponentially.Select all statements that describe the growth in tuition cost.A:The tuition cost can be defined by the function f(y) = 21,000 · (1.15) , where yrepresents years since 2008.B:The tuition cost increased 7.5% each year.C:The tuition cost increased about 7.2% each year.D:The tuition cost roughly doubles in 10 years.E:The tuition cost can be approximated by the function f(d) = 21,000 · 2ª, where drepresents decades since 2008.

Explanation for correct choice. The general exponential growth function equation can be written in…

Answered: The tuition at a public university was…

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 value V (in dollars) of an investment in year t is given by V = 2600(1.0375). Select all of the following which correctly describe the investment (more than one may be correct). OA. An initial investment of $2600 increases by 0.375% per year. OB. An initial investment of $2600 increases by 97.5 dollars every year. OC. An initial investment of $2600 increases by 0.0375% every year. OD. An initial investment of $2600 increases by 3.75% per year. O E. An initial investment of $2600 increases by 1.0375% per year. OF. None of the above
In an ever-changing economy, the price of fuel is never constant for too long. The following table shows the average prices and quantities sold of petrol and diesel for June 2012 and June 2014 in the Western Cape. If the base year is 2012, find the Laspeyres quantity index. Round off to four decimals. Jun-12 Jun-14 Quantity Quantity sold sold (millions Price (millions Price Fuel of litres) (Rand) of litres) (Rands) Petrol 1698 9.83 1744 8.27 Diesel 1406 10.80 1489 7.67
The value of all goods and services produced in a nation during a specific period of time, as compared to an earlier period, is called the economic growth rate. It measures the change in a nation's gross domestic product (GDP). The United States had an economic growth rate of approximately 2.9%and GDP of approximately $20.58 trillion in 2018. If the economic growth rate is expected to stay the same for the next 3 years, what is the projected GDP for the year 2021? a $21.96 trillion b $23.15 trillion c $22.42 trillion d $22.31 trillion
If Daniella opens a mutual fund account with a deposit of 15,000 and it promises to pay an annual interest rate of r% compounded on a monthly basis. Derive a function B, which shows the balance on Daniella's account the end of 6 years. Make a comparison of the rates of change in B with respect to the interest rate when r is 8%, 10% and 12%.
An investment appreciates 2% per year. Originally $5000 is invested. What is an equation for the years since the money is invested as a function of the investment's worth? Ot = log(F/5000)/log(0.02 t = log(F/5000)/log(1.02) Ot = log(F/5000)/log(0.98) t = log(F/5000)/log(-1.02)
Throughout much of the 20th century, the yearly consumption of electricity in the US increased exponentially at a continuous rate of 7% per year. Assume this trend continues and that the electrical energy consumed in 1900 was 1.5 million megawatt-hours. (a) Write an expression for yearly electricity consumption, E, as a function of time, t, in years since 1900. million megawatt-hours (b) Find the average yearly electrical consumption throughout the 20th century. NOTE: Round your answer to the nearest integer. E(t) = million megawatt-hours (c) During what year was electrical consumption closest to the average for the century? NOTE: Round your answer to the nearest integer. During Average Yearly Consumption =
A certain city's population has been in decline since 2010, at which time its population was 100,000. If the population has been decreasing by 4200 people every year, write a function to model the situation with t being the number of years since 2010.
Describe a revenue function for a business venture.
Employment. According to the U.S. Bureau of Labor Statistics, the number of professional services employees fluctuated during the period 2000-2009, as modeled by E(t) = -28.31t³ +381.86t² - 1162.07t + 16,905.87, where t is the number of years since 2000 (t = 0 corresponds to 2000) and E is thousands of employees. (Source: www.data.bls.gov.) Find the relative extrema of this function, and sketch the graph. Interpret the meaning of the relative extrema.
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.
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2. a. Write an exponential equation of the form y = a(b)* that passes through the points (1, 6.4) and (4, 3.2768). Explain how you got your answer OR show your work. b. Identify the percent change that is modeled by your equation in part a. In other words, identify whether your equation represents a percent increase or decrease AND how much is that percent increase or decrease.

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