See solution: The measure of the chance or likelihood of an event occurring is its

Solve each equation for the specified variable. See Examples 13. d = rt; for t

Solve each equation for the specified variable. See Examples 13. W = gh; for g

Solve each equation for the specified variable. See Examples 13. I = PRT; for R

Solve each equation for the specified variable. See Examples 13. V = lwh; for l

Solve each equation for the specified variable. See Examples 13. 9x - 4y = 16; for y

Solve each equation for the specified variable. See Examples 13. 2x + 3y = 17; for y

Solve each equation for the specified variable. See Examples 13. P = 2L + 2W; for W

Solve each equation for the specified variable. See Examples 13. A = 3M - 2N; for N

Solve each equation for the specified variable. See Examples 13. J = AC - 3; for A

Solve each equation for the specified variable. See Examples 13. y = mx + b; for x

Solve each equation for the specified variable. See Examples 13. W = gh - 3gt 2 ; for g

Solve each equation for the specified variable. See Examples 13. A = Prt + P; for P

Solve each equation for the specified variable. See Examples 13. T = C12 + AB2; for B

Solve each equation for the specified variable. See Examples 13. A = 5H1b + B2; for b

Solve each equation for the specified variable. See Examples 13. C = 2pr; for r

Solve each equation for the specified variable. See Examples 13. S = 2pr2 + 2prh; for h

Solve each equation for the specified variable. See Examples 13. E = I1r + R2; for r

Solve each equation for the specified variable. See Examples 13. A = P11 + rt2; for t

Solve each equation for the specified variable. See Examples 13. s = n 2 1a + L2; for L

Solve each equation for the specified variable. See Examples 13. C = 5 9 1F - 322; for F

Solve each equation for the specified variable. See Examples 13. N = 3st 4 - 5sv; for v

Solve each equation for the specified variable. See Examples 13. L = a + 1n - 12d; for d

Solve each equation for the specified variable. See Examples 13. S = 2LW + 2LH + 2WH; for H

Solve each equation for the specified variable. See Examples 13. T = 3vs - 4ws + 5vw; for v

In this exercise set, round all dollar amounts to two decimal places. Solve. See Example 4. Complete the table and find the balance A if $3500 is invested at an annual percentage rate of 3% for 10 years and compounded n times a year.

In this exercise set, round all dollar amounts to two decimal places. Solve. See Example 4. Complete the table and find the balance A if $5000 is invested at an annual percentage rate of 6% for 15 years and compounded n times a year.

A principal of $6000 is invested in an account paying an annual percentage rate of 4%. Find the amount in the account after 5 years if the account is compounded a. semiannually b. quarterly c. monthly

A principal of $25,000 is invested in an account paying an annual percentage rate of 5%. Find the amount in the account after 2 years if the account is compounded a. semiannually b. quarterly c. monthly

Solve. For Exercises 29 and 30, the solutions have been started for you. Round all dollar amounts to two decimal places. See Examples 4 and 5. Omaha, Nebraska, is about 90 miles from Lincoln, Nebraska. Irania Schmidt must go to the law library in Lincoln to get a document for the law firm she works for. Find how long it takes her to drive round-trip if she averages 50 mph. Start the solution: 1. UNDERSTAND the problem. Reread it as many times as needed. 2. TRANSLATE into an equation. (Fill in the blanks below.) Here, we simply use the formula d = r # t. Finish with: 3. SOLVE and 4. INTERPRET

Solve. For Exercises 29 and 30, the solutions have been started for you. Round all dollar amounts to two decimal places. See Examples 4 and 5. It took the Selby family 51 2 hours round-trip to drive from their house to their beach house 154 miles away. Find their average speed. Start the solution: 1. UNDERSTAND the problem. Reread it as many times as needed. 2. TRANSLATE into an equation. (Fill in the blanks below.) Here, we simply use the formula d = r # t. Finish with: 3. SOLVE and 4. INTERPRET

The days high temperature in Phoenix, Arizona, was recorded as 104F. Write 104F as degrees Celsius. [Use the formula C = 5 9 1F - 322.]

The annual low temperature in Nome, Alaska, was recorded as -15C. Write -15C as degrees Fahrenheit. [Use the formula F = 9 5 C + 32.]

A package of floor tiles contains 24 one-foot-square tiles. Find how many packages should be bought to cover a square ballroom floor whose side measures 64 feet.

One-foot-square ceiling tiles are sold in packages of 50. Find how many packages must be bought for a rectangular ceiling 18 feet by 12 feet.

If the area of a triangular kite is 18 square feet and its base is 4 feet, find the height of the kite.

Bailey, Ethan, Avery, Mia, and Madison would like to go to Disneyland in 3 years. Their total cost should be $4500. If each invests $800 in a savings account paying 5.5% interest compounded semiannually, will they have enough in 3 years?

A gallon of latex paint can cover 500 square feet. Find how many gallon containers of paint should be bought to paint two coats on each wall of a rectangular room whose dimensions are 14 feet by 16 feet (assume 8-foot ceilings).

A gallon of enamel paint can cover 300 square feet. Find how many gallon containers of paint should be bought to paint three coats on a wall measuring 21 feet by 8 feet.

To prepare for Exercises 43 and 44, use the volume formulas below to solve Exercises 3942. Remember, volume is measured in cubic units. Cylinder: V = pr2 h Sphere: V = 4 3 pr3 The cylinder below has an exact volume of 980p cubic meters. Find its height.

To prepare for Exercises 43 and 44, use the volume formulas below to solve Exercises 3942. Remember, volume is measured in cubic units. Cylinder: V = pr2 h Sphere: V = 4 3 pr3 The battery below is in the shape of a cylinder and has an exact volume of 825p cubic millimeters. Find its height.

To prepare for Exercises 43 and 44, use the volume formulas below to solve Exercises 3942. Remember, volume is measured in cubic units. Cylinder: V = pr2 h Sphere: V = 4 3 pr3 The steel ball below is in the shape of a sphere and has a diameter of 12 millimeters. a. Find the exact volume of the sphere. b. Find a 2-decimal-place approximation for the volume.

To prepare for Exercises 43 and 44, use the volume formulas below to solve Exercises 3942. Remember, volume is measured in cubic units. Cylinder: V = pr2 h Sphere: V = 4 3 pr3 The spherical ball below has a diameter of 18 centimeters. a. Find the exact volume of the ball. b. Find a 2-decimal-place approximation of the volume.

A portion of the external tank of the Space Shuttle Endeavour was a liquid hydrogen tank. If the ends of the tank are hemispheres, find the volume of the tank. To do so, answer parts a through c. (Note: Endeavour completed its last mission in 2011.) a. Find the volume of the cylinder shown. Round to 2 decimal places. b. Find the volume of the sphere shown. Round to 2 decimal places. c. Add the results of parts a and b. This sum is the approximate volume of the tank.

A vitamin is in the shape of a cylinder with a hemisphere at each end, as shown. Use the art in Exercise 43 to help find the volume of the vitamin. a. Find the volume of the cylinder part. Round to two decimal places. b. Find the volume of the sphere formed by joining the two hemispherical ends. Round to two decimal places. c. Add the results of parts a and b to find the approximate volume of the vitamin.

Amelia Earhart was the first woman to fly solo nonstop coast to coast, setting the womens nonstop transcontinental speed record. She traveled 2447.8 miles in 19 hours 5 minutes. Find the average speed of her flight in miles per hour. (Change 19 hours 5 minutes into hours and use the formula d = rt.) Round to the nearest tenth of a mile per hour.

In 1945, Arthur C. Clarke, a scientist and science-fiction writer, predicted that an artificial satellite placed at a height of 22,248 miles directly above the equator would orbit the globe at the same speed with which the earth was rotating. This belt along the equator is known as the Clarke belt. Use the formula for circumference of a circle and find the length of the Clarke belt. (Hint: Recall that the radius of the earth is approximately 4000 miles. Round to the nearest whole mile.)

The deepest hole in the ocean floor is beneath the Pacific Ocean and is called Hole 504B. It is located off the coast of Ecuador. Scientists are drilling it to learn more about the earths history. Currently, the hole is in the shape of a cylinder whose volume is approximately 3800 cubic feet and whose length is 1.3 miles. Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.)

The deepest man-made hole is called the Kola Superdeep Borehole. It is approximately 8 miles deep and is located near a small Russian town in the Arctic Circle. If it takes 7.5 hours to remove the drill from the bottom of the hole, find the rate that the drill can be retrieved in feet per second. Round to the nearest tenth. (Hint: Write 8 miles as feet, 7.5 hours as seconds, then use the formula d = rt.)

Eartha is the worlds largest globe. It is located at the headquarters of DeLorme, a mapmaking company in Yarmouth, Maine. Eartha is 41.125 feet in diameter. Find its exact circumference (distance around) and then approximate its circumference using 3.14 for p. (Source: DeLorme)

Eartha is in the shape of a sphere. Its radius is about 20.6 feet. Approximate its volume to the nearest cubic foot. (Source: DeLorme)

Find how much interest $10,000 earns in 2 years in a certificate of deposit paying 8.5% interest compounded quarterly.

Find how long it takes Mark to drive 135 miles on I-10 if he merges onto I-10 at 10 a.m. and drives nonstop with his cruise control set on 60 mph.

The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula C = 4h + 9f + 4p, where h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving. Solve this formula for f, the number of grams of fat contained in a serving of food.

The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula C = 4h + 9f + 4p, where h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving. Solve this formula for h, the number of grams of carbohydrate contained in a serving of food.

The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula C = 4h + 9f + 4p, where h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving. A serving of cashews contains 14 grams of fat, 7 grams of carbohydrate, and 6 grams of protein. How many calories are in this serving of cashews?

The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula C = 4h + 9f + 4p, where h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving. A serving of chocolate candies contains 9 grams of fat, 30 grams of carbohydrate, and 2 grams of protein. How many calories are in this serving of chocolate candies?

The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula C = 4h + 9f + 4p, where h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving. A serving of raisins contains 130 calories and 31 grams of carbohydrate. If raisins are a fat-free food, how much protein is provided by this serving of raisins?

The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula C = 4h + 9f + 4p, where h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving. A serving of yogurt contains 120 calories, 21 grams of carbohydrate, and 5 grams of protein. How much fat is provided by this serving of yogurt? Round to the nearest tenth of a gram

Determine which numbers in the set 5 -3, -2, -1, 0, 1, 2, 36 are solutions of each inequality. See Sections 1.4 and 2.1. 6 0

Determine which numbers in the set 5 -3, -2, -1, 0, 1, 2, 36 are solutions of each inequality. See Sections 1.4 and 2.1. x 7 1

Determine which numbers in the set 5 -3, -2, -1, 0, 1, 2, 36 are solutions of each inequality. See Sections 1.4 and 2.1. x + 5 6

Determine which numbers in the set 5 -3, -2, -1, 0, 1, 2, 36 are solutions of each inequality. See Sections 1.4 and 2.1. x - 3 -7

Determine which numbers in the set 5 -3, -2, -1, 0, 1, 2, 36 are solutions of each inequality. See Sections 1.4 and 2.1. In your own words, explain what real numbers are solutions of x 6 0.

Determine which numbers in the set 5 -3, -2, -1, 0, 1, 2, 36 are solutions of each inequality. See Sections 1.4 and 2.1. In your own words, explain what real numbers are solutions of x 7 1

Solar system distances are so great that units other than miles or kilometers are often used. For example, the astronomical unit (AU) is the average distance between Earth and the sun, or 92,900,000 miles. Use this information to convert each planets distance in miles from the sun to astronomical units. Round to three decimal places. The planet Mercurys AU from the sun has been completed for you. (Source: National Space Science Data Center) Venus 67.2 million

Solar system distances are so great that units other than miles or kilometers are often used. For example, the astronomical unit (AU) is the average distance between Earth and the sun, or 92,900,000 miles. Use this information to convert each planets distance in miles from the sun to astronomical units. Round to three decimal places. The planet Mercurys AU from the sun has been completed for you. (Source: National Space Science Data Center) Earth 92.9 million

Solar system distances are so great that units other than miles or kilometers are often used. For example, the astronomical unit (AU) is the average distance between Earth and the sun, or 92,900,000 miles. Use this information to convert each planets distance in miles from the sun to astronomical units. Round to three decimal places. The planet Mercurys AU from the sun has been completed for you. (Source: National Space Science Data Center) Mars 141.5 million

Solar system distances are so great that units other than miles or kilometers are often used. For example, the astronomical unit (AU) is the average distance between Earth and the sun, or 92,900,000 miles. Use this information to convert each planets distance in miles from the sun to astronomical units. Round to three decimal places. The planet Mercurys AU from the sun has been completed for you. (Source: National Space Science Data Center) Jupiter 483.3 million

Solar system distances are so great that units other than miles or kilometers are often used. For example, the astronomical unit (AU) is the average distance between Earth and the sun, or 92,900,000 miles. Use this information to convert each planets distance in miles from the sun to astronomical units. Round to three decimal places. The planet Mercurys AU from the sun has been completed for you. (Source: National Space Science Data Center) Saturn 886.1 million

Solar system distances are so great that units other than miles or kilometers are often used. For example, the astronomical unit (AU) is the average distance between Earth and the sun, or 92,900,000 miles. Use this information to convert each planets distance in miles from the sun to astronomical units. Round to three decimal places. The planet Mercurys AU from the sun has been completed for you. (Source: National Space Science Data Center) Uranus 1783 million

Solar system distances are so great that units other than miles or kilometers are often used. For example, the astronomical unit (AU) is the average distance between Earth and the sun, or 92,900,000 miles. Use this information to convert each planets distance in miles from the sun to astronomical units. Round to three decimal places. The planet Mercurys AU from the sun has been completed for you. (Source: National Space Science Data Center) Neptune 2793 million

Solar system distances are so great that units other than miles or kilometers are often used. For example, the astronomical unit (AU) is the average distance between Earth and the sun, or 92,900,000 miles. Use this information to convert each planets distance in miles from the sun to astronomical units. Round to three decimal places. The planet Mercurys AU from the sun has been completed for you. (Source: National Space Science Data Center) Pluto (dwarf planet) 3670 million

To borrow money at a rate of r, which loan plan should you chooseone compounding 4 times a year or 12 times a year? Explain your choice.

If you are investing money in a savings account paying a rate of r, which account should you choosean account compounded 4 times a year or 12 times a year? Explain your choice.

To solve the formula W = gh - 3gt 2 for g, explain why it is a good idea to factor g first from the terms on the right side of the equation. Then perform this step and solve for g.

An orbit such as Clarkes belt in Exercise 46 is called a geostationary orbit. In your own words, why do you think that communications satellites are placed in geostationary orbits?

The measure of the chance or likelihood of an event occurring is its probability. A formula basic to the study of probability is the formula for the probability of an event when all the outcomes are equally likely. This formula is Probability of an event = number of ways that the event can occur number of possible outcomes For example, to find the probability that a single spin on the spinner below will result in red, notice first that the spinner is divided into 8 parts, so there are 8 possible outcomes. Next, notice that there is only one sector of the spinner colored red, so the number of ways that the spinner can land on red is 1. Then this probability denoted by P(red) is Find each probability in simplest form. P(green)

The measure of the chance or likelihood of an event occurring is its probability. A formula basic to the study of probability is the formula for the probability of an event when all the outcomes are equally likely. This formula is Probability of an event = number of ways that the event can occur number of possible outcomes For example, to find the probability that a single spin on the spinner below will result in red, notice first that the spinner is divided into 8 parts, so there are 8 possible outcomes. Next, notice that there is only one sector of the spinner colored red, so the number of ways that the spinner can land on red is 1. Then this probability denoted by P(red) is Find each probability in simplest form. P(yellow)

The measure of the chance or likelihood of an event occurring is its probability. A formula basic to the study of probability is the formula for the probability of an event when all the outcomes are equally likely. This formula is Probability of an event = number of ways that the event can occur number of possible outcomes For example, to find the probability that a single spin on the spinner below will result in red, notice first that the spinner is divided into 8 parts, so there are 8 possible outcomes. Next, notice that there is only one sector of the spinner colored red, so the number of ways that the spinner can land on red is 1. Then this probability denoted by P(red) is Find each probability in simplest form. P(black)

The measure of the chance or likelihood of an event occurring is its probability. A formula basic to the study of probability is the formula for the probability of an event when all the outcomes are equally likely. This formula is Probability of an event = number of ways that the event can occur number of possible outcomes For example, to find the probability that a single spin on the spinner below will result in red, notice first that the spinner is divided into 8 parts, so there are 8 possible outcomes. Next, notice that there is only one sector of the spinner colored red, so the number of ways that the spinner can land on red is 1. Then this probability denoted by P(red) is Find each probability in simplest form. P(blue)

The measure of the chance or likelihood of an event occurring is its probability. A formula basic to the study of probability is the formula for the probability of an event when all the outcomes are equally likely. This formula is Probability of an event = number of ways that the event can occur number of possible outcomes For example, to find the probability that a single spin on the spinner below will result in red, notice first that the spinner is divided into 8 parts, so there are 8 possible outcomes. Next, notice that there is only one sector of the spinner colored red, so the number of ways that the spinner can land on red is 1. Then this probability denoted by P(red) is Find each probability in simplest form. P(green or blue)

The measure of the chance or likelihood of an event occurring is its probability. A formula basic to the study of probability is the formula for the probability of an event when all the outcomes are equally likely. This formula is Probability of an event = number of ways that the event can occur number of possible outcomes For example, to find the probability that a single spin on the spinner below will result in red, notice first that the spinner is divided into 8 parts, so there are 8 possible outcomes. Next, notice that there is only one sector of the spinner colored red, so the number of ways that the spinner can land on red is 1. Then this probability denoted by P(red) is Find each probability in simplest form. P(black or yellow)

The measure of the chance or likelihood of an event occurring is its probability. A formula basic to the study of probability is the formula for the probability of an event when all the outcomes are equally likely. This formula is Probability of an event = number of ways that the event can occur number of possible outcomes For example, to find the probability that a single spin on the spinner below will result in red, notice first that the spinner is divided into 8 parts, so there are 8 possible outcomes. Next, notice that there is only one sector of the spinner colored red, so the number of ways that the spinner can land on red is 1. Then this probability denoted by P(red) is Find each probability in simplest form. P(red, green, or black)

The measure of the chance or likelihood of an event occurring is its probability. A formula basic to the study of probability is the formula for the probability of an event when all the outcomes are equally likely. This formula is Probability of an event = number of ways that the event can occur number of possible outcomes For example, to find the probability that a single spin on the spinner below will result in red, notice first that the spinner is divided into 8 parts, so there are 8 possible outcomes. Next, notice that there is only one sector of the spinner colored red, so the number of ways that the spinner can land on red is 1. Then this probability denoted by P(red) is Find each probability in simplest form. P(yellow, blue, or black)

The measure of the chance or likelihood of an event occurring is its probability. A formula basic to the study of probability is the formula for the probability of an event when all the outcomes are equally likely. This formula is Probability of an event = number of ways that the event can occur number of possible outcomes For example, to find the probability that a single spin on the spinner below will result in red, notice first that the spinner is divided into 8 parts, so there are 8 possible outcomes. Next, notice that there is only one sector of the spinner colored red, so the number of ways that the spinner can land on red is 1. Then this probability denoted by P(red) is Find each probability in simplest form. P(white)

The measure of the chance or likelihood of an event occurring is its probability. A formula basic to the study of probability is the formula for the probability of an event when all the outcomes are equally likely. This formula is Probability of an event = number of ways that the event can occur number of possible outcomes For example, to find the probability that a single spin on the spinner below will result in red, notice first that the spinner is divided into 8 parts, so there are 8 possible outcomes. Next, notice that there is only one sector of the spinner colored red, so the number of ways that the spinner can land on red is 1. Then this probability denoted by P(red) is Find each probability in simplest form. P(red, yellow, green, blue, or black)

The measure of the chance or likelihood of an event occurring is its probability. A formula basic to the study of probability is the formula for the probability of an event when all the outcomes are equally likely. This formula is Probability of an event = number of ways that the event can occur number of possible outcomes For example, to find the probability that a single spin on the spinner below will result in red, notice first that the spinner is divided into 8 parts, so there are 8 possible outcomes. Next, notice that there is only one sector of the spinner colored red, so the number of ways that the spinner can land on red is 1. Then this probability denoted by P(red) is Find each probability in simplest form. From the previous probability formula, what do you think is always the probability of an event that is impossible to occur?

The measure of the chance or likelihood of an event occurring is its probability. A formula basic to the study of probability is the formula for the probability of an event when all the outcomes are equally likely. This formula is Probability of an event = number of ways that the event can occur number of possible outcomes For example, to find the probability that a single spin on the spinner below will result in red, notice first that the spinner is divided into 8 parts, so there are 8 possible outcomes. Next, notice that there is only one sector of the spinner colored red, so the number of ways that the spinner can land on red is 1. Then this probability denoted by P(red) is Find each probability in simplest form. What do you think is always the probability of an event that is sure to occur?