In one country the average consumer drank four servings of Coca-Cola in 1993. This amount appeared to be increasing exponentially with a doubling time of 2 years. Given a long-range market saturation estimate of 100 servings per year, find a logistic model for the consumption of Coca-Cola in this country where t is the number of years since 1993. (Round your numerical values to three decimal places.) C(t) =        Use your model to predict in what year the average consumption reached 50 servings per year. (Round your answer to the nearest year.)

A 2019 Jeep Wrangler had a new vehicle purchase price of $30,800, now has a book value of $24,500 after 2 years of ownership. Find a specific exponential model of the form v(t)=aekt for the value of the vehicle, then to the nearest dollar amount, predict the value of the Jeep Wrangler in the year 2029.

An exponential equation is a nonlinear regression equation of the form y = ab*. Use technology to find and graph the exponential equation for the accompanying data, which shows the number of bacteria present after a certain number of hours. Include the original data in the graph. Note that this model can also be found by solving the equation log y = mx + b for y. Click the icon to view the table of numbers of hours and bacteria. ..... The equation of the regression curve is y = IO* (Round to two decimal places as needed.) Choose the correct graph below. O A. В. Oc. ABacteria 5000- ABacteria 5000- Bacteria Bacteria 5000- 5000- 0+ Hours Hours Hours Hours Time and bacteria count Number of Number of hours, x bacteria, y 1 163 278 3 469 4 782 1310 1910 4919 of 2.

The logistic growth function P(x) = 1+271e models the percentage, P(x), of Americans who are x years old and have some coronary heart disease. Use this function to find the age at which the percentage of Americans who have some coronary heart disease is 10%. What is the age at which 10% of Americans have some coronary heart disease? years old (Round to the nearest integer)