Tema
Q:
A person invest in an account with interest compounded continuously according to the formula
\( A=f(t)=8200 e^{0.059 t} \)
where \( A \) is the amount in the account and \( t \) is in years.
Find
\( f(0)=\$ \)
To the nearest cent, find the amount in the account after 8 years.
\( \$ \)
To the nearest tenth of a year, determine how long it will take for the investment to grow to \( \$ 10100 \).
Q:
You deposit \( \$ 6000 \) in an account earning \( 6 \% \) interest compounded continuously. How much will you have in
the account in 15 years?
Q:
4 Question 2 of 16 This test: 16 point(s) possible
The Consumer Price Index is increasing at a rate of \( 7 \% \) per year. What is its doubling time? Use the approximate doubling time formula (rule of 70 ). Round to one
decimal place.
A. 10.0 years
B. 14.0 years
C. 4.9 years
D. 128.0 years
Q:
Aniyah needs to borrow \( \$ 8000 \). The money can be borrowed at \( 6.5 \% \) simple interest for 5 yr or borrowed at \( 5 \% \) with interest compounded continuously for 5 yr
Part: 0 / 3
Part 1 of 3
(a) How much total interest would Aniyah pay at \( 6.5 \% \) simple interest?
At \( 6.5 \% \) simple interest, the total interest Aniyah would pay is \( \$ \)
Q:
If \( \$ 2000 \) is invested for 3 years at rate \( r \) compounded annually, the future value of this investment
is given by \( \mathrm{S}=2000(1+r)^{3} \), where \( r \) is the rate written as a decimal.
Q:
B. \( \$ 2,466.75 \)
C. \( \$ 205.56 \)
D. \( \$ 3,447.07 \)
Question 17
Larry decides to invest with a different bank. The interest that Larry would receive if he invests \( \$ 3,450 \)
\( 5.4 \% \) p.a. for 11 years with interest compounding monthly is
A. \( \$ 2,049.30 \)
B. \( \$ 2,790.38 \)
C. \( \$ 5,499.30 \)
D. \( \$ 6,240.38 \)
Question 18
Q:
Which investment results in the greatest total amount?
Investment A: \( \$ 3,000 \) invested for 4 years compounded semiannually at \( 8 \% \).
Investment B: \( \$ / 900 \) invested for 3 years compounded quarterly at \( 3.6 \% \).
Find the total amount of investment A.
\( \$ 4105.71 \) (Round to the nearest cent as needed.)
Find the total amount of investment B.
\( \$ \) (Round to the nearest cent as needed.)
Q:
At the end of 2 years, \( P \) dollars invested at an interest rate \( r \) compounded annually increases to an amount, \( A \) dollars, given by the following formula.
\[ A=P(1+r)^{2} \]
Find the interest rate if \( \$ 64 \) increased to \( \$ 100 \) in 2 years. Write your answer as a percent.
Annual compound interest rate \( =\square \% \) (Type an integer or a decimal.)
Q:
Which investment results in the greatest total amount?
Investment A: \( \$ 3,000 \) invested for 4 years compounded semiannually at \( 8 \% \).
Investment B: \( \$ 4,000 \) invested for 3 years compounded quarterly at \( 3.6 \% \).
Find the total amount of investment A.
\( \$ 4105.71 \) (Round to the nearest cent as needed.)
Find the total amount of investment B.
\( \$ \) (Round to the nearest cent as needed.)
Q:
Which investment results in the greatest total amount?
Investment A: \( \$ 3,000 \) invested for 4 years compounded semiannually at \( 8 \% \).
Investment B: \( \$ 4,000 \) invested for 3 years compounded quarterly at \( 3.6 \% \).
Find the total amount of investment A.
\( \$ \) (Round to the nearest cent as needed.)
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