Winter 2019 Math 131-02 Project 1- Exponential Growth Finding the current price or quantity of something,...
3. The Rule of 72 is a very useful approximation for understanding exponential growth. The Rule states that (72 / the interest rate) = doubling time. For example, if the interest rate is 10% and you invest $10 today, in 7.2 years you will have $20. (72/10 = 7.2, the doubling time) My sister, a financial planner, would suggest that you save today for peace of mind. So today, let's put $1,000 in a mutual fund that rather consistently yields...
In 2012, the population of a city was 5.82 million. The exponential growth rate was 2.28% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) = , where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation...
2. National income: growth and inflation. Show all calculations. 2019 2019 2020 2020 2021 2021 Price Quantity Price Quantity Price Quantity Peaches $20 100 22 105 24 110 Pears $4 25 2 50 1 100 a. Compute nominal and real GDP for each year in an economy that produces only 2 goods, peaches and pears. Use 2019 as the base year. b. Compute the GDP implicit price deflator for each year. Again, use 2019 as the base year. c. Find the...
Miglietti Restaurants is looking at a project with the following forecasted sales: first-year sales quantity of 32,000, with an annual growth rate of 4.00% over the next ten years. The sales price per unit will start at $43 and will grow at 2.00% per year. The production costs are expected to be 55% of the current year's sales price. The manufacturing equipment to aid this project will have a total cost (including installation) of $2,400,000. It will be depreciated using...
(1 point) Give the starting value aa, the growth/decay rate r, and the continuous growth/decay rate k. If there is exponential decay your growth rates should negative. Q=9⋅2^t/6has: a= r= k= ---- (1 point) Write the exponential function y=6(1.34)^t in the form y=ae^kt. (a) Once you have rewritten the formula, give kk accurate to at least four decimal places. k= help (numbers) If t is measured in years, indicate whether the exponential function is growing or decaying and find the...
NPV. Miglietti Restaurants is looking at a project with the following forecasted sales: first-year sales quantity of 30,000, with an annual growth rate of 4.00% over the next ten years. The sales price per unit will start at $45.00 and will grow at 2.00% per year. The production costs are expected to be 55% of the current year's sales price. The manufacturing equipment to aid this project will have a total cost (including installation) of $2,100,000 It will be depreciated...
1) Please write clearly. In 2012, the population of a city was 5.97 million. The exponential growth rate was 1.66% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 10 million? d) Find the doubling time. a) The exponential growth function is P(t) = 1, where t is in terms of the number of years since 2012 and P(t) is the population in...
. A company is a fast growing technology company. The firm projects a rapid growth of 40 percent for the next two years and then a growth rate of 20 percent for the following two years. After that, the firm expects a constant-growth rate of 12 percent. The firm expects to pay its first dividend of $1.25 a year from now. If your required rate of return on such stocks is 20 percent, what is the current price of the...
NPV. Miglietti Restaurants is looking at a project with the following forecasted sales: first-year sales quantity of 33,000, with an annual growth rate of 4.00% over the next ten years. The sales price per unit will start at $43.00 and will grow at 2.00% per year. The production costs are expected to be 55% of the current year's sales price. The manufacturing equipment to aid this project will have a total cost (including installation) of $2,200,000. It will be depreciated...
MATH 123 HW 9 Exponential Modeling Name Due Section work in order to receive full credit. Your friend sends out a chain letter e-mail to 12 people by the next day 15 people have received the letter. Assuming an exponential growth pattern, what is the growth factor for the number chain letters received? Do not round 1. 2. Consider the data in the table. Round all answers to 2 decimal places Time ValueAbsolute Change Relative Change 13.60 14.85 16.10 17.35...