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A principal P, invested at 2-% and compounded continuously, increases to an amount K times the original principal after t years, where & = In(K)/0.025.
A principal P, invested at 2-% and compounded continuously, increases to an amount K times the original principal after t years, where & = In(K)/0.025. (a) Complete the table. (Round your answers to one decimal place.) K 2 6 10 12 Interpret your result. The number of years required to multiply the original investment by K increases with K. However, the [-Select- | the value of K the fewer the years required to increase the value of the investment by an additional multiple of the original investment. (b) Sketch a graph of the function. 100 100 50 40 40 20 K O 2 6 10 12 L K 8 10 12 100 100 80 60 60 40 40 20 20 K O 2 10 12 - K 8 10 12Find the exact value of the logarithmic expression without using a calculator. (If not possible, enter IMPOSSIBLE.) In F /7.14 Points] DETAILS LARPCALCLIM3 3.3.058. Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume the variable is positive.) In v x (x + 2)
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