Question

Suppose you deposit $7000 at 7% interest compounded
continuously. Find the average value of your account during the
first 4 years.

Answer #1

Suppose you deposit $7000 at 8% interest compounded continously.
Find the average value of your account during the first 3
years.

Suppose you deposit $2000 at 4% interest compounded continously.
Find the average value of your account during the first 3
years.

An initial deposit is made of $12,000 in an account paying 4%
interest compounded continuously. a. How much will the account be
worth in 6 years? b. How long will it take the account to
double?

Problem 1.10 You deposit $5,000 in an account that earns 5%
interest compounded annually in years 1 and 2, and thereafter a
continuous rate δ(t) = 2/(t + 1) (t ≥ 0). What is the value of the
account after 5 years?
Problem 1.11 Suppose an initial investment of $100 grows
according to the accumulated amount function A(t) = 100(1 + 0.05t)
(t ≥ 0). (a) Find the effective rate of interest earned during the
5th year i5. (b) Find...

If you deposit $2000 in a savings account that pays an interest
equal to 6% Compounded continuously. Whats the balance at the end
of 3 years?

Lauren plans to deposit $7000 into a bank account at the
beginning of next month and $175/month into the same account at the
end of that month and at the end of each subsequent month for the
next 7 years. If her bank pays interest at a rate of 5%/year
compounded monthly, how much will Lauren have in her account at the
end of 7 years? (Assume she makes no withdrawals during the 7-year
period. Round your answer to the...

1) You deposit $500 each month into an account earning 3%
interest compounded monthly.
a) How much will you have in the account in 25 years?
b) How much total money will you put into the account?
c) How much total interest will you earn?
2) Suppose you invest $190 a month for 6 years into an account
earning 7% compounded monthly. After 6 years, you leave the money,
without making additional deposits, in the account for another 21
years....

You invest $3500 in an account at interest rate r,
compounded continuously. Find the time required for the amount to
double and triple. (Round your answers to two decimal places.)

An investment of 9,000 earns interest at an annual rate of 7%
compounded continuously. Find the instantaneous rate of change of
the amount in the account after 1 year.

For a deposit of $1027 at 6.4% over 2 years, find the
interest earned if interest is compounded semiannually,
quarterly, monthly, daily, and continuously.
The interest earned if interest is compounded semiannually
is----
2
Find the present value of the following future amount.
$2000 at 10% compounded annually for 30 years
The present value is-----
3 Suppose a savings and loan pays a nominal rate of
1.4%
on savings deposits. Find the effective annual yield if interest
is compounded quarterly...

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