Question

The function F(X)= 700e^0.03x represents the rate of flow of money in dollars per year. Assume...

The function F(X)= 700e^0.03x represents the rate of flow of money in dollars per year. Assume a 10 year period at 5 percent compounded continuously. A. Find the present value B. the accumulated amount of money flow at t=10?

Homework Answers

Answer #1

PART(a):

The given rate of income function is,

The present value is given by,

after integrating,

PART(b):

The accumulated money is given by,

I hope this answer helps,
Thanks,
Keep posting questions.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The function f(x)=900 represents the rate of flow of money in dollars per year. Assume a...
The function f(x)=900 represents the rate of flow of money in dollars per year. Assume a 5 - year period at 5% compounded continuously. Find (A) the present value, and (B) the accumulated amount of money flow at t=5
The function f(x) = 900 represents the rate of flow of money in dollars per year....
The function f(x) = 900 represents the rate of flow of money in dollars per year. Assume a 5-year period at 5% compounded continuously. Find the present value at t = 5.
1. An investment is projected to generate income at the rate of R(t)=20,000 dollars per year...
1. An investment is projected to generate income at the rate of R(t)=20,000 dollars per year for the next 4 years. If the income stream is invested in a bank that pays interest at the rate of 5% per year compounded continuously, find the total accumulated value of this income stream at the end of 4 years. 2. Find the average value of the function f(x)=∜(5x+1) over the interval [0,3].
The rate of a continuous money flow starts at $800 and increases exponentially at 3% per...
The rate of a continuous money flow starts at $800 and increases exponentially at 3% per year for 5 years. Find the present value and final amount if interest earned is 4% compounded continuously. a) The present value is? b) The final amount is? (Do not round until the final answer. Then round to the nearest cent as needed.)
Find the present value P of a continuous income flow of c(t) dollars per year using...
Find the present value P of a continuous income flow of c(t) dollars per year using P = t1 c(t)e−rt dt, 0 where t1 is the time in years and r is the annual interest rate compounded continuously. (Round your answer to the nearest dollar.) c(t) = 100,000 + 4000t, r = 5%, t1 = 8
Find the accumulated present value of an investment over a 8 year period if there is...
Find the accumulated present value of an investment over a 8 year period if there is a continuous money flow of $12,000 per year and the interest rate is 1.6% compounded continuously.
Find the accumulated present value of an investment over a 6 year period if there is...
Find the accumulated present value of an investment over a 6 year period if there is a continuous money flow of $9,000 per year and the interest rate is 1.9% compounded continuously.
A young person with no initial capital invests k dollars per year at an annual rate...
A young person with no initial capital invests k dollars per year at an annual rate of return r. Assume that investments are made continuously and that the return is compounded continuously. (a) Determine the sum S(t) accumulated at any time t. (b) If r = 6.0%, determine k so that $1 million will be available for retirement in 43 years. (c) If k=2500/year, determine the return rate r that must be obtained to have $1 million available in 43...
39. Suppose a continuous income stream has an annual rate of flow given by: f(t) =...
39. Suppose a continuous income stream has an annual rate of flow given by: f(t) = 5000e^(-.01t). If the interest rate is 7%, compounded continuously, create the integral to solve:    a) The Total Income for the next 5 year b) Present Value for the next 5 year c) Future Value 5 years from now
Suppose that a printing firm considers its production as a continuous income stream. If the annual...
Suppose that a printing firm considers its production as a continuous income stream. If the annual rate of flow at time t is given by f(t) = 91.5e−0.8(t + 3) in thousands of dollars per year, and if money is worth 8% compounded continuously, find the present value and future value (in dollars) of the presses over the next 10 years. (Round your answers to the nearest dollar.) present value$ = future value$ =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT