Reference: Calculus and Its Applications, 12th, by Marvin L. Bittinger and

David Ellenbogen Book

Elementary Applied Calculus

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4t The amount of money, A(t), in a savings account that pays 4% interest, compounded quarterly for t years, with an initial investment of P dollars, is given by A(t) = p 1 + .04) . If $14,000 is invested at 4%, compounded quarterly, how much will the investment be worth after 6 years? How much money will there be in the account at the end of 6 years? S (Round to the nearest cent as needed.)Solve the equation. Check your solutions. p - 3vp =28 The solution set is (Use a comma to separate answers as needed. )Graph the function using a [ - 10,10, - 10,10] window and use the graph to estimate the domain and range f(x) = (x - 1)*+2 Choose the domain of the function. O A. {x | x#0] O B. {x | x#2) O C. {x | x> - 1} O D. {x | x is a real number} Which of the following is the range of the function? O A. {y ly is a real number} O B. {yly# 1} O C. {yly= 0} O D. {yly#2)\fExpress as a single logarithm and simplify, if possible. 4 log * + 3log by - 2log x 4 log *+ 3 109 by - 2 109 6* = (Type your answer using exponential notation. Use integers or fractions for any numbers in the expression.)Use the graph of y = e* and transformations to sketch the exponential function f(x) = - ex. Determine the domain and range. Also, determine the y-intercept, and find the equation of the horizontal asymptote. graph What is the domain of f(x) = - ex+67 (Type your answer in interval notation.) What is the range of f(x) = - ex+67 X 10 8 6 42 $ 10 (Type your answer in interval notation.) What is the y-intercept of f(x) = - ex+67 (Simplify your answer. Type an exact answer in terms of e.) What is the horizontal asymptote of f(x) = - ex+67 (Type an equation.)