Annuity Find the future value of an ordinary annuity of $\$ 800$ paid at the end of every $6$-month period for $10$ years, if it earns interest at $12 \%$ compounded semiannually.

Compound interest If $\$ 1000$ is invested for $x$ years at $10 \%$, compounded continuously, the future value that results is

$$S=1000 e^{0.10 x}$$

What amount will result in $5$ years?

Use the simple interest formula method.

Margaret Hillman invested $\$ 5,000$ at $1.8 \%$ compounded quarterly for one year. Find the future value and the interest earned for the year.

Jamie wants to determine how much she should invest in a stock. She uses the equation for present value, $V_p=\frac{V_f}{(1+i)^t}$, in which $V_f$ is the future value, i is the interest rate, and t is the number of years. How much should her present value be if she wants the future value of the stock to be $2000 in 10 years at an interest rate of 0.02? Round the answer to the nearest dollar.

Light of unknown wavelength shines on a precisely machined glass wedge with refractive index $1.52$. The closest point to the apex of the wedge where reflection is enhanced occurs where the wedge is $98 \mathrm{~nm}$ thick. Find the wavelength.

This reading is about the buildings of the future. Write three characteristics that you would expect the buildings of the future to have. Look at the photos in the reading to help you think of ideas.

Indicate whether the statement is true or false:Assuming continuous growth rate of $3\%$, the future value five years from now of a $1000 payment today is$1000e^{0.15}$.

A perpetuity is a periodic sequence of payments that continues forever. The capital value of the perpetuity is the sum of the present values of all future payments.

Consider a perpetuity that promises to pay P dollars at the end of each month. (The first payment will be received in 1 month.) If the interest rate per month is r, the present value of P dollars in k months is $P(1+r)^{-k}$. Find a simple formula for the capital value of the perpetuity.

Eric bought a $1000 Canada Savings Bond that earns 5%/a compounded annually. Eric can redeem the bond in 7 years. Determine the future value of the bond.

Which of the following reduced aggregate demand and thereby contributed to the crisis of 2008?

a. falling housing and stock prices

b. a rise in the value of the U.S. dollar

c. optimism about future economic conditions

d. an increase in the real rate of interest

A doctor examines a mole with a 15.0 cm focal length magnifying glass held 13.5 cm from the mole (a) Where is the image? (b) What is its magnification? (c) How big is the image of a 5.00 mm diameter mole?

Complete each sentence about your hopes for the future using the future tense of the irregular verbs in parentheses.

Mis amigos ______________ mucho sobre tecnologia. \lparensaber\rparen

Find the future value of each annuity and the amount of interest earned. $1288 deposited at the end of each year for 14 years; money earns 4% compounded annually.

Find the future value of each annuity and the amount of interest earned. $11,900 deposited at the beginning of each month for 13 months; money earns 6% compounded monthly.