Suppose that $50,000 from a retirement account is invested in a large cap stock fund. After 20 yr. the value is $194 .,809 .67 . a. Use the model A = P e r t to determine the average rate of return under continuous compounding. Round to the nearest tenth of a percent. b. How long will it take the investment to reach one-quarter million dollars? Round to the nearest tenth of a year.
Suppose that $50,000 from a retirement account is invested in a large cap stock fund. After 20 yr. the value is $194 .,809 .67 . a. Use the model A = P e r t to determine the average rate of return under continuous compounding. Round to the nearest tenth of a percent. b. How long will it take the investment to reach one-quarter million dollars? Round to the nearest tenth of a year.
Solution Summary: The author calculates the average rate of return of an invested amount under continuous compounding by using the model equation A=Pert.
8. For x>_1, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n>_1, the nth term of the series summation from n=1 to infinity a_n is defined by a_n=g(n). If intergral 1 to infinity g(x)dx converges to 8, which of the following could be true? A) summation n=1 to infinity a_n = 6. B) summation n=1 to infinity a_n =8. C) summation n=1 to infinity a_n = 10. D) summation n=1 to infinity a_n diverges.
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13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.
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11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
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