You are investing P dollars at an annual interest rate of r, compounded continuously, for t years. Which of the following would result in the highest value of the investment? Explain your reasoning. Double your interest rate.

For continuous compounding, the balance in the account has the formula: $$A=Pe^{rt}$$ where $A$ is the account balance, $P$ is the deposited/invested amount, $r$ is the rate of interest, and $t$ is the time in years.

You are investing P dollars at an annual interest rate of r,

prealgebra

Find the simple interest paid to the nearest cent for each loan amount, interest rate, and time. $725, 6.25%, 1 year

business math

Suppose that $20,000 is invested at continuous rate r and grows to$81,104 in 28 years. Find the interest rate r.

trigonometry

Find the time required for a $1000 investment to (a) double at interest rate r, compounded continuously, and (b) triple at interest rate r, compounded continuously. Round your results to two decimal places.$ r = 2.5%$

algebra2

The interest rate on a car loan affects the monthly payment. The function that relates the monthly payment for a 5 -year loan (60-month loan) to the monthly interest rate is given by

P(x)=\frac{C x}{\left[1-\frac{1}{(x+1)^{60}}\right]}

where $x$ is the monthly interest rate (as a decimal), $C$ is the loan amount, and $P(x)$ is the monthly payment.

Simplify the complex fraction.

precalculus

Reggie invests $12,000, part at 7% annual interest and part at 8.5% annual interest. How much is invested at each rate if Reggie’s total annual interest is$900?

business math

Find the monthly payment, amount paid, and interest charged for a $90,000 mortgage loan at an annual interest rate of 10% for 20 years.

college algebra

For the following exercises, determine the value of the annuity for the indicated monthly deposit amount, the number of deposits, and the interest rate. Deposit amount: $100; total deposits: 120; interest rate: 10%, compounded semi-annually

accounting

Solve for the unknown interest rate in each of the following:

Present Value	Years	Future Value
$\$ 181$	$5$	$\$ 317$
$335$	$17$	$1,080$
$48,000$	$13$	$185,382$
$40,000$	$40$	$531,618$

trigonometry

Find the time required for a $1000 investment to (a) double at interest rate r, compounded continuously, and (b) triple at interest rate r, compounded continuously. Round your results to two decimal places.$ r = 7 %$

advanced math

Find the monthly interest rate $r$ when

A P R=11

prealgebra

Graph the simple interest earned on $950 at an annual rate of 4.2%.

engineering

To make CDs look more attractive than they really are, some banks advertise that their rates are higher than their competitors’ rates; however, the fine print says that the rate is a simple interest rate. If a person deposits $10,000 at 10% per year simple interest, what compound interest rate would yield the same amount of money in 3 years?

finance

What happens to the present value of an annuity as the interest rate increases?

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You are investing P dollars at an annual interest rate of r, compounded continuously, for t years. Which of the following would result in the highest value of the investment? Explain your reasoning. Double your interest rate.

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