Evaluate the expression. Use a calculator if necessary. (Round your answers to three decimal places.) (a) In(7e) (b) In -2 (c ) 5 In 5 (d) In(1 + e) Need Help? Read ItEvaluate the expression using a calculator. (Round your answers to three decimal places.) (a) 3e2 S (b) e33 S (c) 4.5e_6'3 E (d) 3.3 4&3 + 91 E Complete the table. f(x) = 3 |n(x) x :14 :13 :12 i l 91 92 e3 94 MI H H H H H H H H Sketch the graph of the function by plotting points. .V y y An exponential growth or decay model is given. g(t) = 300 . e-0.25t (a) Determine whether the model represents growth or decay. O growth O decay (b) Find the instantaneous growth or decay rate. Need Help? Read It Watch ItIn the formula A(t) = Pelt for continuously compound interest, the letters P, r, and t stand for |---Select--- v, -Select-- v , and ---Select--- v , respectively, and A(t) stands for ---Select-- v . So if $100 is invested at an interest rate of 6% compounded continuously, then the amount after 4 years is $ . (Round your answer to the nearest cent.)If a population P has an instantaneous growth rate r per year and the initial population is C, then an exponential model for the population after t years is given by t) = C . Need Help? E If $21,000 is invested at an interest rate of 6% per year, find the amount of the investment at the end of 5 years for the following compounding methods. (Round your answers to the nearest cent.) (a) Semiannual as: (b) Quarterly 35: (c) Monthly $ (d) Continuously $: If the growth factor for a population is a, then the instantaneous growth rate is r = So if the growth factor for a population is 3.5, then the instantaneous growth rate is (to three decimal places). Need Help? Read It 10. [-/5 Points] DETAILS SCOLALGCC1 4.4.001. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER (a) The function f(x) = ex is called the ---Select--- | exponential function. The number e is approximately equal to (to five decimal places). (b) The natural logarithm function is f(x) = In x = log x, so In e = Need Help? Read ItThe graph of a function that models exponential growth is shown. .Y Find the initial population. : Find the instantaneous growth rate. (Round your answer to three decimal places.) S An exponential growth or decay model is given. h(t) = 400 . 2.5t (a) Determine whether the model represents growth or decay. O growth O decay (b) Find the instantaneous growth or decay rate. Need Help? Read It Watch ItComplete the table of the functions fancl 9. (Round your answers to three decimal places.) x) = 90.4X' 9(X) = 90.4% x 2 1 o 1 2 f(x)l II II II II I x 2 1 0 1 2 9(X)l II II II II I Sketch the graph of the functions fancl g on the same axes. Madeleine invests $11,000 at an interest rate of 5%, compounded continuously. (a) What is the instantaneous growth rate of the investment? \\:i (b) Find the amount of the investment after 5 years. (Round your answer to the nearest cent.) is: (c) If the investment was compounded only quarterly, what would be the amount after 5 years? {Round your answer to the nearest cent.) $ Z Need Help? _