## Algebra

1. Type the first 5 terms of the linear sequence that starts at 8 and has common difference -3. Separate terms with commas, e.g. 1, 2, 3, 4, 5.

2.The fuel price in Sumtown this time last year was \$3.48 per gallon. Right now, 12 months later, it is \$2.64 per gallon. What is the average rate of change over the past 12 months? Do not include a unit in your answer; the next question will ask about the units. Do include a negative if applicable. Round to the nearest hundredth if necessary.

3. Type the first 5 terms of the geometric sequence that starts with -9 and has common ratio -3. Separate values with commas, e.g. 1, 2, 3, 4, 5.

4.Use the summation formula to find the sum:

2 + 5 + 12.5 + … + 2(5/2)^9

Round to the nearest 100th if necessary.

5.A population of bacteria is shrinking continuously at a rate of 7% per hour. How many of a colony of 5000 will be left after a day? Round to the nearest whole creature if necessary.

6. Eldon invested some money at 1.9% simple interest. If he had a total of \$3876.72 after 6 years, how much did he initially invest? Round to the nearest cent if necessary.

7.Jami invested \$2600 at 4.2% annual interest, compounded quarterly. How much will she have after 12 years? Round to the nearest cent if necessary.

8.Brendan opens a retirement account that pays 5.7% interest, compounded monthly. If he deposits \$100 a month for 20 years, how much will be in the account? Round to the nearest dollar.

9.After 10 years, Norma has \$20,485 in her annuity. She’s been depositing \$125 per month, at 6% interest compounded monthly. How much of the money did Norma contribute?

10.Skrubby stock is currently worth \$695 per share, has earnings of \$7 million, and has released 700,000 shares of stock for purchase. Shareholders currently receive a dividend of \$99 per share. What is Skrubby’s Price per Earning (P/E)? Round to the nearest cent if necessary. \$ ANSWER

11.Skrubby stock is currently worth \$695 per share, has earnings of \$7 million, and has released 700,000 shares of stock for purchase. Shareholders currently receive a dividend of \$99 per share.

Find the value of Skrubby’s dividend yield. Round to the nearest 10th of a percent if necessary.

12.Skrubby stock is currently worth \$695 per share, has earnings of \$7 million, and has released 700,000 shares of stock for purchase. Shareholders currently receive a dividend of \$99 per share.

Leandro owns 931 shares of Skrubby stock. What is his percent ownership of Skrubby? Round to the nearest hundredth of a percent if necessary.

# Sample Solution

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