For Exercises 11–16, suppose that P dollars in principal is invested at an annual interest rate r . For interest compounded n times per year, the amount A ( t ) in the account after t years is given by A ( t ) = P ( 1 + r n ) n t . If interest is compounded continuously, the amount is given by A ( t ) = P e r t . Suppose an investor deposits $5000 in an account earning 6.5% interest compounded continuously. Find the total amount in the account for the following time periods. How does the length of time affect the amount of interest earned? a. 5 yr b. 10 yr c. 15 yr d. 20 yr e. 30 yr
For Exercises 11–16, suppose that P dollars in principal is invested at an annual interest rate r . For interest compounded n times per year, the amount A ( t ) in the account after t years is given by A ( t ) = P ( 1 + r n ) n t . If interest is compounded continuously, the amount is given by A ( t ) = P e r t . Suppose an investor deposits $5000 in an account earning 6.5% interest compounded continuously. Find the total amount in the account for the following time periods. How does the length of time affect the amount of interest earned? a. 5 yr b. 10 yr c. 15 yr d. 20 yr e. 30 yr
Solution Summary: The author calculates the total amount in the account using A(t)=Pert and the effect time has over the interest.
For Exercises 11–16, suppose that P dollars in principal is invested at an annual interest rate r. For interest compounded n times per year, the amount
A
(
t
)
in the account after t years is given by
A
(
t
)
=
P
(
1
+
r
n
)
n
t
. If interest is compounded continuously, the amount is given by
A
(
t
)
=
P
e
r
t
.
Suppose an investor deposits $5000 in an account earning 6.5% interest compounded continuously. Find the total amount in the account for the following time periods. How does the length of time affect the amount of interest earned?
3. Determine the exponential function that passes through the points ( 2, 8) and (-1 1) (3 pts)
Chp
five thousand dollars is deposited into a savings account that has interest compounded continuously. suppose after 3 years the account has grown to six thousand dollars.
A.) find the yearly interest rate r for this savings account
B.) how long will it take for the initial balance to double
The population, P, of raccoons in a region is modelled by the exponential relation
P = Po(2)*/20 , where t is the time in years and Po is the initial population. If there
are 300 raccoons in the region today, approximately how many raccoons will there be in six
years?
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