Is there any difference between the present values in parts (a) and (b)? Explain.

(a) An annuity due that pays $\$ 1000$ at the beginning of each year for $10$ years

(b) Taking $\$ 1000$ now and establishing an ordinary annuity that pays $\$ 1000$ at the end of each year for $9$ years

You bought 3 T-shirts @ $14.95 and 4 sweatshirts @$39.99 in a state with a sales tax rate of 2.7%. What was the total amount of the sales receipt?

(a) decide whether the problem relates to an ordinary annuity or an annuity due and then (b) solve the problem.

Recent sales of some real estate and record profits make it possible for a manufacturer to set aside $\$ 800,000$ in a fund to be used for modernization and remodeling. How much can be withdrawn from this fund at the beginning of each half-year for the next $3$ years if the fund earns $7.7 \%$ compounded semiannually?

Fill in the blank with the word or words that best completes the statement.

When ___, people should take care to protect their computers from unauthorized access.

Find the present value of an annuity due that pays $\$ 3000$ at the beginning of each quarter for the next $7$ years. Assume that money is worth $5.8 \%$ compounded quarterly.

Find the mean, median, mode, and range.

Data set: 17, 12, 18, 22, 12, 11, 23

(a) decide whether the problem relates to an ordinary annuity or an annuity due and then (b) solve the problem.

How long will an account worth $\$ 2.2$ million provide $\$ 10,000$ at the end of each month, if money is worth $5.4 \%$ compounded monthly?

(a) decide whether the problem relates to an ordinary annuity or an annuity due and then (b) solve the problem.

A company wants to have $\$ 40,000$ at the beginning of each $6$-month period for the next $4 \frac{1}{2}$ years. If an annuity is set up for this purpose, how much must be invested now if the annuity earns $6.68 \%$ compounded semiannually?

Multiply 45.076 by 100.

(a) decide whether the problem relates to an ordinary annuity or an annuity due and then (b) solve the problem.

An insurance settlement of $\$ 1.5$ million must replace Trixie Eden's income for the next $40$ years. What income will this settlement provide at the end of each month if it is invested in an annuity that earns $8.4 \%$ compounded monthly?

Find the present value of an annuity due that pays $\$ 25,000$ every $6$ months for the next $2 \frac{1}{2}$ years if money is worth $6.2 \%$ compounded semiannually.

Find the mean, median, mode, and range.

Data set: 2,184; 8,105; 19,238; 9,053

A 12-oz bottle of cleaning fluid costs $3.89. What is the unit price, to the nearest tenth of a cent?

A dial-up Internet connection gives a true speed of 35 kbps. A file you wish to download from the Internet is 650 KB in size. How many seconds, rounded to the nearest tenth of a second, will it take to download the file?