Assume a 10 Year Period at 8 Compounded Continuously FT 300
Chapter 8
Further Techniques and Applications of Integration - all with Video Answers
Educators
Problem 1
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(t)=1000$$
Julian Wong
Numerade Educator
Problem 2
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(t)=300$$
Bobby Barnes
University of North Texas
Problem 3
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(t)=500$$
Julian Wong
Numerade Educator
Problem 4
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(t)=2000$$
Bobby Barnes
University of North Texas
Problem 5
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(t)=400 e^{0.03 t}$$
Julian Wong
Numerade Educator
Problem 6
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(t)=800 e^{0.05 t}$$
Bobby Barnes
University of North Texas
Problem 7
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(t)=5000 e^{-0.01 t}$$
Julian Wong
Numerade Educator
Problem 8
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(t)=1000 e^{-0.02 t}$$
Bobby Barnes
University of North Texas
Problem 9
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(t)=25 t$$
Julian Wong
Numerade Educator
Problem 10
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(t)=50 t$$
Bobby Barnes
University of North Texas
Problem 11
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(x)=0.02 x+300$$
Julian Wong
Numerade Educator
Problem 12
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(t)=0.05 t+500$$
Bobby Barnes
University of North Texas
Problem 13
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(t)=1000 t-100 t^{2}$$
Julian Wong
Numerade Educator
Problem 14
Each of the functions in Exercises $1-14$ represents the rate of flow of money in dollars per year. Assume a 10 -year period at 8$\%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$ .
$$f(t)=2000 t-150 t^{2}$$
Bobby Barnes
University of North Texas
Problem 15
Accumulated Amount of Money Flow John deposited his money in a bank that gives a continuous rate of flow of money of $\$ 10,000$ per year for 5 years. Find the accumulated amount at an interest rate of 2$\%$ compounded continuously.
Julian Wong
Numerade Educator
Problem 16
Present Value An investment is expected to produce a uniform continuous rate of money flow of $\$ 2000$ per year for 2 years. Find the present value at the following rates, compounded continuously
(a) 3$\%$ (b) 6$\%$ (c) 9$\%$
Bobby Barnes
University of North Texas
Problem 17
Money Flow The rate of a continuous flow of money starts at $\$ 5000$ and decreases exponentially at 1$\%$ per year for 8 years. Find the present value and final amount at an interest rate of 8$\%$ compounded continuously.
Julian Wong
Numerade Educator
Problem 18
Money Flow The rate of a continuous money flow starts at $\$ 1000$ and increases exponentially at 5$\%$ per year for 4 years. Find the present value and accumulated amount if interest earned is 3.5$\%$ compounded continuously.
Bobby Barnes
University of North Texas
Problem 19
Present Value A money market fund has a continuous flow of money at a rate of $f(t)=1500-60 t^{2}$ , reaching 0 in 5 years. Find the present value of this flow if interest is 5$\%$ compounded continuously.
Julian Wong
Numerade Educator
Problem 20
Accumulated Amount of Money Flow Find the amount of a continuous money flow in 3 years if the rate is given by $f(t)=1000-t^{2}$ and if interest is 5$\%$ compounded continuously.
Bobby Barnes
University of North Texas
Source: https://www.numerade.com/books/chapter/further-techniques-and-applications-of-integration/?section=2300
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