Question

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.

Answer #1

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)= 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?

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 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
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

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

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 a continuous money flow of $9,000 per year
and the interest rate is 1.9% compounded continuously.

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$ =

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.
$

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