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?
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
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