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)

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

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.

5. Someone invests $3080 in an account at 6.3% interest compounded annually. Let f(t) be the value (in dollars) of the account at t years after she invested the $3080. a) Find the equation of f. b) What will the account's value be after 12 years? (Round to the nearest cent.)

The population of a town increases according to the exponential relation P = 1480(1.04)" , where n is the number of years. In 15 years, what will the population be?

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 =

The price in dollars of a house during a period of mild inflation is described by the formula P(t)=96000e^0.05t where t is the number of years after 1990. Answer the following questions: A. The value of the house in the year 2000 will be  ___________ dollars. (Round your answer to the nearest dollar.)   B. In the year 2000 the value will be increasing at a rate of ____________ dollars per year. (Round your answer to the nearest dollar.)   C. How long will it take for a house to double in value? Answer: _____________ years. (Round your answer to two decimal places.)

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

The equation of the exponential function that models a data set is y = 6.8(1.03)* Determine the range of this function. Select one: O a. yly> 1.03, y e R} O b. (ylye R} Oc. yly> 6.8, y e R) Oc. O d. yly> 0, y e R)