Question

Suppose $5000 is invested at an annual interest rate of 4.15% if compounded continuously.

a) Compute the balance at the end of 16 years.

b) What is the doubling time (round to the nearest year)?

c) What will be the balance at the end of 16 years if computed quarterly?

Answer #1

suppose $5000 is invested in an account at an annual interest
rate of 6.8% compounded continuously. How long (to the nearest
tenth of a year) will it take the investment to double in size?

When interest is compounded continuously, the amount of money
increases at a rate proportional to the amount S present
at time t, that is,
dS/dt =
rS,
where r is the annual rate of interest.
(a)
Find the amount of money accrued at the end of 8 years when
$5000 is deposited in a savings account drawing 5 3/4
% annual interest compounded continuously. (Round your answer to
the nearest cent.)
$
(b) this is the part I’m having the...

When interest is compounded continuously, the amount of money
increases at a rate proportional to the amount S present
at time t, that is,
dS/dt =
rS,
where r is the annual rate of interest.
(a)
Find the amount of money accrued at the end of 8 years when
$5000 is deposited in a savings account drawing 5
3
4
% annual interest compounded continuously. (Round your answer to
the nearest cent.)
$
(b)
In how many years will the...

Suppose $5,400 is invested in an account at an annual interest
rate of 3.9% compounded continuously. How long (to the nearest
tenth of a year) will it take the investment to double in size?
Answer:

5000 dollars is invested in a bank account at an interest rate
of 7 percent per year, compounded continuously. Meanwhile, 24000
dollars is invested in a bank account at an interest rate of 4
percent compounded annually. To the nearest year, When will the two
accounts have the same balance? The two accounts will have the same
balance after

1- For an annual interest rate of 10% compounded continuously
what it will be the effective annual interest rate?
2. For an annual interest rate of 10% compounded quarterly what
it will be the effective annual interest rate?
3. For a monthly interest rate of 1.2 % compounded quarterly
what it will be the effective annual interest rate?

How much will $100 grow to if invested at a continuously
compounded interest rate of 7.5% for 7 years? (Do not round
intermediate calculations. Round your answer to 2 decimal
places.)
How much will $100 grow to if invested at a continuously
compounded interest rate of 7% for 7.5 years? (Do
not round intermediate calculation

How much will $100 grow to if invested at a continuously
compounded interest rate of 8.5% for 9 years? (Do not round
intermediate calculations. Round your answer to 2 decimal
places.)
How much will $100 grow to if invested at a continuously
compounded interest rate of 9% for 8.5 years? (Do not round
intermediate calculations. Round your answer to 2 decimal
places.)

How much will $100 grow to if invested at a continuously
compounded interest rate of 12% for 7 years? (Do not round
intermediate calculations. Round your answer to 2 decimal
places.)
Future Value =
How much will $100 grow to if invested at a continuously
compounded interest rate of 7% for 12 years? (Do not round
intermediate calculations. Round your answer to 2 decimal
places.)
Future Value =

1) When interest is compounded continuously, the amount of money
increases at a rate proportional to the amount S present
at time t, that is,
dS/dt =
rS, where r is the annual rate of
interest.
(a)Find the amount of money accrued at the end of 9 years when
$4000 is deposited in a savings account drawing 5 1/4 $ % annual
interest compounded continuously. (Round your answer to the nearest
cent.)
(b)In how many years will the initial sum...

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