Question

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.

Answer #1

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:

A) Find the interest rate needed for an investment of $8,000 to
double in 14 yr if interest is compounded monthly.
B)How long will it take for an investment of $10,000 to grow to
$12,500 if the investment earns interest at the rate of 8%/year
compounded annually?
C)How long will it take for an investment of $15,000 to double
if the investment earns interest at the rate of 7%/year compounded
continuously?

7. What is the effective annual interest rate for a bank account
that pays a continuously compounded interest rate of 8%?

$2000 is deposited with an annual interest of 2% compounded
continuously.
(a) Find the balance of the account in 5 years
(b) How long will it take for the money to become 3 times at
this rate?

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...

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...

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?

Aryanna invests $30,000 today into an investment that earns 5%
annually, but interest is compounded continuously. What is the
future value of this investment 15 years from today? Select
one:
a. $63,500
b. $72,300
c. $81,100
d. $67,500
e. $62,400

Adam deposited $1500 in an account in which interest is
compounded continuously. The annual rate of interest is 2.5 %. How
long does it take for his money to double?

1.
Find the
following for a savings account in which interest is compounded
continuously.
Initial Investment
Annual Rate
Time to Double
Amt. after 10 years
a.
$18,000
5.5
%
_____________
______________
b.
$12,500
_____________
20 years
______________
c.
$500
__________
___
_____________
$1,292.85
2.
The number of bacteria in a culture is increasing according to
the law of exponential
growth. There are 125 bacteria in the culture after 2 hours and
350 bacteria after 4 hours.
a.
Find the initial...

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