Question

An heiress receives an income stream from a will at a rate of f(t) = 40,000e0.023t...

An heiress receives an income stream from a will at a rate of

f(t) = 40,000e0.023t

dollars per year.

She invests this income and earns 4.7% interest (compounded continuously). (Round your answers to two decimal places.)

(a) What is the future value of the income after ten years?
$  

(b) Compute the present value of the income over a ten year period.
$

Homework Answers

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
1. A retiree is paid $1200 per month by an annuity. If the income is invested...
1. A retiree is paid $1200 per month by an annuity. If the income is invested in an account that earns 9% interest compounded continuously, what is the future value of the income after ten years? (Round your answer to two decimal places.) $ 233536.47 < --- wrong answer . 2. The winner of a lottery is awarded $7,000,000 to be paid in annual installments of $350,000 for 20 years. Alternatively, the winner can accept a "cash value" a one-time...
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
(A) Find the present and future value of an income stream of $9000 per year for...
(A) Find the present and future value of an income stream of $9000 per year for a period of 10 years if the interest rate, compounded continuously, is 2% . Round your answers to two decimal places. Present Value = $? Future Value = $? (B) How much of the future value is from the income stream? How much is from interest? Round your answers to two decimal places. The amount from the income stream is $? The amount from...
Suppose that a printing firm considers its production as a continuous income stream. If the annual...
Suppose that a printing firm considers its production as a continuous income stream. If the annual rate of flow at time t is given by f(t) = 91.5e−0.8(t + 3) in thousands of dollars per year, and if money is worth 8% compounded continuously, find the present value and future value (in dollars) of the presses over the next 10 years. (Round your answers to the nearest dollar.) present value$ = future value$ =
A business is planning to purchase a piece of equipment that will produce a continuous stream...
A business is planning to purchase a piece of equipment that will produce a continuous stream of income for 5 years with rate of flow ​f(t) = 7,000. If the continuous income stream earns 6.65​%, compounded​ continuously, what single deposit into an account earning the same interest rate will produce the same future value as the continuous income​ stream? ​ (This deposit is called the present value of the continuous income​ stream.) 1) What is the future value of the...
An investment produces a continuous income stream at the rate of ?(?) = 3000 − 50?...
An investment produces a continuous income stream at the rate of ?(?) = 3000 − 50? dollars per year at time ?. If the prevailing annual interest rate remains fixed during the next 6 years at 5% compounded continuously, what is the present value of the investment over the next 6 years?
find the accumulated present value of the following continuous income stream at rate R(t), for the...
find the accumulated present value of the following continuous income stream at rate R(t), for the given time T and interest rate k, compounded continuously. R(t)=.06t+400, T=10, k=8
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].
Find the accumulates present value of the following continuous income stream at rate​ R(t), for the...
Find the accumulates present value of the following continuous income stream at rate​ R(t), for the given time T and interest rate​ k, compounded continuously R(t)=0.01t+100, T=10, k=4% Round to nearest cent as needed
Find the value of an income stream after 8 years if the rate of flow is...
Find the value of an income stream after 8 years if the rate of flow is estimated to be $240,000 annually and the income is deposited at a rate of 6 percent compounded continuously. Round intermediate answers to eight decimal places and final answer to two decimal places.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT