**Population Prediction Problem**The population of the world $ t $ years after 2010 is predicted to be $ P = 6.77e^{0.012t} $ billion.Round your answers to one decimal place.**(a) What population is predicted in 2026?**The predicted population of the world in the year 2026 is [input field] billion people.**(b) What is the predicted average population between 2010 and 2026?**The average population of the world over this time period is [input field] billion people.

To find the population in 2026 and the average population between 2010 and 2026.

Answered: The population of the world¹ t years…

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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12
A certificate of deposit is worth P (1+r)t dollars after t years, where r is the annual interest rate expressed as a decimal, and P is the amount initially deposited. Which investment will be worth more? Investment A, in which P =$7300, r=4%, and t=5 years. Or investment B, in which P= $6300, r=6%, and t= 7years. Round to two decimal places. The value of certificate A will be what? And the value for investment B will be what? And which is worth more, A or B?
A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars) kWhkWh 25 30 35 40 cost (dollars)cost (dollars) (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…
19. Lacey is standing on top of one of the tallest buildings in her town. She stands at the edge of the roof and drops a basketball. The ball falls 120 feet to the pavement below and begins bouncing. Each successive bounce is 20% shorter than the previous bounce. Which explicit formula describes this situation? an = 120(0.80)"-1 An 120(0.20)"-1 O an 120(80)"-1 an = 20(0.80)"-1
Revisiting question 1; Tacoma's population in 2000 was around 200,000 and had been growing by about 9% each year. (a) Write a recursive formula for the population of Tacoma. Po = 2000. Pn Pn-1 where n is the years after (b) Write an explicit formula for the population of Tacoma. Pn Here we would use n = (c) If this trend continues, what will Tacoma's population be in 2016? Plugging in this value and rounding to the nearest thousand, Tacoma will have a population of in 2016. Note -- the steps used to find this must be included in your supporting work to receive full credit. (d) When does this model predict Tacoma's population to exceed 400,000? The year that Tacoma's population is to exceed 400,000 is

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