Cumulative Exam — Cumulative exam Answers

The diameter of a softball is 3.8 inches. Estimate the volume within the softball. Round answers to the nearest whole number and leave in the answer. a. Volume: 73 c. Volume: 9 b. Volume: 14 d. Volume: 58 Please select the best answer from the choices provided

You are sailing from your lakeshore cabin to a marina 60º north of east and 0.5 miles across the lake. On your return trip, you decide to sail directly south and then west to get back to your cabin. Which of the following expressions uses the complementary angle of 60° to determine how far you would travel on your trip west? a. 0.5cos30° b. 0.5cos60° c. 0.5sin30° d. 0.5sin60° Please select the best answer from the choices provided

Triangles ABC and DEF are similar. Find the lengths of AB and EF. a. AB = 2; EF = 10 c. AB = 20; EF = 4 b. AB = 10; EF = 2 d. AB = 4; EF = 20 Please select the best answer from the choices provided

Solve the problem. Round to the nearest cent.Mark knows that he will need to buy a new car in 5 years. The car will cost $15,000 by then. How much should he invest now at 8%, compounded quarterly, so that he will have enough to buy a new car?a.$9452.54c.$12,328.91b.$11,025.45d.$10,094.57

In 1985, there were 285 cell phone subscribers in the small town of Glenwood. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in Glenwood in 1990?Years1986 (x = 1)1987 (x = 2)1988 (x = 3)Number of cell phone users4988721527a.1800c.2672b.4677d.8186

Determine whether a scatter plot of the data for the following situation might show a positive, negative, or no relationship. Explain your answer.birth month and birth weighta.no relationship; a person’s birth weight is not affected by birth month.b.no relationship; a person’s birth weight increases as the year progresses.c.positive relationship; a person’s birth weight increases as the year progresses.d.negative relationship; a person’s birth weight decreases as the year progresses.

If 10 pounds of sugar cost $18.54, how much will 15 pounds of sugar cost?a.$45b.$8.98c.$35.32d.$27.81

The phases of the moon are periodic and repetitive. A new moon occurs when no moon is visible to an observer on Earth. During the first quarter, half of the side of the moon facing the Earth is visible. During a full moon the entire side of the moon is visible. During the last quarter the other half of the side of the moon facing Earth is visible. The U.S. Naval Observatory lists the following dates for phases of the Moon in the year 2008.DateMoon Phasex: Days since Jan. 8y: The Amount of Moon VisibleJan 8New00Jan 151st quarter70.5Jan 22Full131Jan 30Last quarter220.5Feb 7New300Feb 141st quarter370.5Feb 21Full441Feb 29Last quarter520.5Mar 7New590Mar 141st quarter660.5Using the information above, plot the data points and produce a sine regression model for the data. Round a, b, c, and d to the nearest 0.001. Then use your model to predict how much of the moon will be visible 65 days after Jan 8th, provided the sky is clear. Give your answer as a percent.a.38% of the moon will be visibleb.9% of the moon will be visiblec.35% of the moon will be visibled.99% of the moon will be visible

What is the period for the graph of y =? (Sketch a graph to help determine the answer.) a. c. b. d. Please select the best answer from the choices provided

Which is the correct graph of ? a. c. b. d. Please select the best answer from the choices provided

You have just inherited $150,261 from a trust that has matured. You would like to invest the total amount into an account that pays you an annual compounded interest rate of 9.1%, and you would like to make annual withdrawals over the next 20 years such that by the end of this 20 year period, the amount remaining in the account will be zero dollars. Determine, from the given information, the amount of the annual withdrawals. Round to the nearest cent.a.$16,578.03c.$15,978.10b.$162,851.31d.$15,575.98

If x varies directly as y, and x is 10 when y is 150, find the constant of variation. a. c. b. d. Please select the best answer from the choices provided

Find the area of the figure. Use 3.14 for , and round your answer to the nearest tenth. Rectangle capped by a right triangle on one end and a semicircle on the other a. 1570.1 sq. ft b. 1354.1 sq. ft c. 1580.2 sq. ft d. None of these Please select the best answer from the choices provided

Find the perimeter of the figure. If you need to use in your computation, approximate its value as 3.14. Rectangle topped by a semicircle a. 29.85 m b. 18.57 m c. 32.70 m d. 24.85 m Please select the best answer from the choices provided

You have just graduated from college and purchased a car for $6000. Your credit limit is $24,000. Assume that you make no payments and purchase nothing more and that there are no other fees. The monthly interest rate is 14%. Use the table feature on your graphing calculator to determine how much you will owe after 3 months..a.$9075.54c.$35,557.06b.$36,302.15d.$8889.26

Calculate the surface area of a prism with the following dimensions.the length (l) = 13 units, the width (w) = 2 units and the height (h) = 17 units.a.278 sq. unitsc.562 sq. unitsb.276 sq. unitsd.987 sq. units

Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 17 feet by 17 feet by 2 inches for a patio if the concrete costs $40.00 per cubic yard?a.$76.45b.$71.36c.$90.67d.$87.56

The perimeter of a regular pentagon is 100 centimeters. How long is each side?a.100 cmc.40 cmb.20 cmd.80 cm

You currently make $18.32 an hour, get time and a half for anything over 40 hours, and a 10% commission on all sales for the month. Determine your gross monthly salary given that your sales on average are $7,891 per month and you work 5 hours of overtime a week.a.$4,011.78c.$4,269.90b.$4,132.95d.$4,320.12

A cup of coffee contains 130 mg of caffeine. If caffeine is eliminated from the body at a rate of 11% per hour, how much caffeine will remain in the body after 3 hours? Write the exponential function and solve. a. ; 184 mg b. ; about 346 mg c. ; less than 1 mg d. ; about 92 mg Please select the best answer from the choices provided