Chapter 7

Prealgebra · 352 exercises

Problem 1

A These problems are similar to the examples found in this section. They should be set up and solved in the same way. (Problems 1-12 involve simple interest.) Savings Account A man invests \(\$ 2,000\) in a savings plan that pays \(8 \%\) per year. How much money will be in the account at the end of 1 year?

4 step solution

Problem 1

Solve each of the following problems by first restating it as one of the three basic percent problems of Section 7.2 . In each case, be sure to show the equation. Test Scores On a 120 -question test a student answered 84 correctly. What percent of the problems did the student work correctly?

5 step solution

Problem 1

Solve each of these problems using the method developed in this section. If a person earns \(\$ 23,000\) a year and gets a \(7 \%\) increase in salary, what is the new salary?

5 step solution

Problem 1

These problems should be solved by the method shown in this section. In each case show the equation needed to solve the problem. Write neatly, and show your work. [Examples 1-3] Sales Tax Suppose the sales tax rate in Mississippi is \(7 \%\) of the purchase price. If a new food processor sells for $$ 750,$ how much is the sales tax?

5 step solution

Problem 1

Solve each of the following problems. What number is \(25 \%\) of \(32 ?\)

4 step solution

Problem 1

Write each percent as a fraction with denominator \(100 .\) $$20 \%$$

3 step solution

Problem 2

A These problems are similar to the examples found in this section. They should be set up and solved in the same way. (Problems 1-12 involve simple interest.) Savings Account How much simple interest is earned on \(\$ 5,000\) if it is invested for 1 year at \(5 \% ?\)

5 step solution

Problem 2

Solve each of these problems using the method developed in this section. A computer programmer's yearly income of \(\$ 57,000\) is increased by \(8 \% .\) What is the dollar amount of the increase, and what is her new salary?

3 step solution

Problem 2

Solve each of the following problems by first restating it as one of the three basic percent problems of Section 7.2 . In each case, be sure to show the equation. An engineering student answered 81 questions correctly on a 90 -question trigonometry test. What percent of the questions did she answer correctly? What percent were answered incorrectly?

5 step solution

Problem 2

These problems should be solved by the method shown in this section. In each case show the equation needed to solve the problem. Write neatly, and show your work. [Examples 1-3] Sales Tax If the sales tax rate is \(5 \%\) of the purchase price, how much sales tax is paid on a television that sells for $$ 980 ?$

4 step solution

Problem 2

Write each percent as a fraction with denominator \(100 .\) $$40 \%$$

3 step solution

Problem 3

Solve each of the following problems by first restating it as one of the three basic percent problems of Section 7.2 . In each case, be sure to show the equation. A basketball player made 63 out of 75 free throws. What percent is this?

5 step solution

Problem 3

Solve each of these problems using the method developed in this section. The yearly tuition at a college is presently \(\$ 6,000 .\) Next year it is expected to increase by 17) \(\%\). What will the tuition at this school be next year?

4 step solution

Problem 3

These problems should be solved by the method shown in this section. In each case show the equation needed to solve the problem. Write neatly, and show your work. [Examples 1-3] Sales Tax and Purchase Price Suppose the sales tax rate in Michigan is \(6 \% .\) How much is the sales tax on a \(\$ 45\) concert ticket? What is the total price?

4 step solution

Problem 3

Write each percent as a fraction with denominator \(100 .\) $$60 \%$$

3 step solution

Problem 4

A These problems are similar to the examples found in this section. They should be set up and solved in the same way. (Problems 1-12 involve simple interest.) Savings Account A local bank pays \(5.5 \%\) annual interest on all savings accounts. If \(\$ 600\) is invested in this type of account, how much will be in the account at the end of a year?

5 step solution

Problem 4

Solve each of the following problems by first restating it as one of the three basic percent problems of Section 7.2 . In each case, be sure to show the equation. A family spends 450 dollar every month on food. If the family's income each month is 1,800 dollar what percent of the family's income is spent on food?

5 step solution

Problem 4

Solve each of these problems using the method developed in this section. A market increased the price of cheese selling for \(\$ 4.98\) per pound by \(3 \% .\) What is the new price for a pound of cheese? (Round to the nearest cent.)

4 step solution

Problem 4

These problems should be solved by the method shown in this section. In each case show the equation needed to solve the problem. Write neatly, and show your work. [Examples 1-3] Sales Tax and Purchase Price Suppose the sales tax rate in Hawaii is \(4 \% .\) How much tax is charged on a new car if the purchase price is \(\$ 16,400 ?\) What is the total price?

3 step solution

Problem 4

Solve each of the following problems. What number is \(15 \%\) of \(75 ?\)

4 step solution

Problem 4

Write each percent as a fraction with denominator \(100 .\) $$80 \%$$

3 step solution

Problem 5

Savings Account A local bank pays \(5.5 \%\) annual interest on all savings accounts. If \(\$ 600\) is invested in this type of account, how much will be in the account at the end of a year? Bank Loan A farmer borrows \(\$ 8,000\) from his local bank at \(7 \% .\) How much does he pay back to the bank at the end of the year when he pays off the loan?

6 step solution

Problem 5

Solve each of the following problems by first restating it as one of the three basic percent problems of Section 7.2 . In each case, be sure to show the equation. Chemistry How much HCl (hydrochloric acid) is in a \(60-\) milliliter bottle that is marked \(75 \% \mathrm{HCl}\) ?

4 step solution

Problem 5

Solve each of these problems using the method developed in this section. In one year a new car decreased in value by \(20 \%\). If it sold for \(\$ 16,500\) when it was new, what was i worth after 1 year?

4 step solution

Problem 5

These problems should be solved by the method shown in this section. In each case show the equation needed to solve the problem. Write neatly, and show your work. [Examples 1-3] Total Price The sales tax rate is \(4 \% .\) If the sales tax on a 10-speed bicycle is \(\$ 6,\) what is the purchase price? What is the total price?

4 step solution

Problem 5

Solve each of the following problems. What number is \(54 \%\) of \(38 ?\)

3 step solution

Problem 5

Write each percent as a fraction with denominator \(100 .\) $$24 \%$$

3 step solution

Problem 6

A These problems are similar to the examples found in this section. They should be set up and solved in the same way. (Problems 1-12 involve simple interest.) Bank Loan If \(\$ 400\) is borrowed at a rate of \(12 \%\) for 1 year, how much is the interest?

3 step solution

Problem 6

Solve each of the following problems by first restating it as one of the three basic percent problems of Section 7.2 . In each case, be sure to show the equation. How much acetic acid is in a 5 -liter container of acetic acid and water that is marked \(80 \%\) acetic acid? How much is water?

4 step solution

Problem 6

Solve each of these problems using the method developed in this section. A certain light beer has \(20 \%\) fewer calories than the regular beer. If the regular beer has 120 calories per bottle, how many calories are in the samesized bottle of the light beer?

3 step solution

Problem 6

These problems should be solved by the method shown in this section. In each case show the equation needed to solve the problem. Write neatly, and show your work. [Examples 1-3] Total Price The sales tax on a new microwave oven is $$ 30 .\( If the sales tax rate is \)5 \%,$ what is the purchase price? What is the total price?

6 step solution

Problem 6

Solve each of the following problems. What number is \(72 \%\) of \(200 ?\)

4 step solution

Problem 6

Write each percent as a fraction with denominator \(100 .\) $$48 \%$$

3 step solution

Problem 7

A These problems are similar to the examples found in this section. They should be set up and solved in the same way. (Problems 1-12 involve simple interest.) Bank Loan A bank lends one of its customers \(\$ 2,000\) at \(8 \%\) for 1 year. If the customer pays the loan back at the end of the year, how much does he pay the bank?

3 step solution

Problem 7

Solve each of the following problems by first restating it as one of the three basic percent problems of Section 7.2 . In each case, be sure to show the equation. A farmer owns 28 acres of land. Of the 28 acres, only \(65 \%\) can be farmed. How many acres are available for farming? How many are not available for farming?

4 step solution

Problem 7

Solve each of these problems using the method developed in this section. A person earning \(\$ 3,500\) a month gets a raise of \(\$ 350\) per month. What is the percent increase in salary?

3 step solution

Problem 7

Tax Rate Suppose the purchase price of a dining room set is $$ 450 .\( If the sales tax is \)22.50, what is the sales tax rate?

6 step solution

Problem 7

Write each percent as a fraction with denominator \(100 .\) $$65 \%$$

2 step solution

Problem 8

A These problems are similar to the examples found in this section. They should be set up and solved in the same way. (Problems 1-12 involve simple interest.) Bank Loan If a loan of \(\$ 2,000\) at \(20 \%\) for 1 year is to be paid back in one payment at the end of the year, how much does the borrower pay the bank?

4 step solution

Problem 8

Solve each of the following problems by first restating it as one of the three basic percent problems of Section 7.2 . In each case, be sure to show the equation. Number of Students Of the 420 students enrolled in a basic math class, only \(30 \%\) are first-year students. How many are first-year students? How many are not?

4 step solution

Problem 8

Salary Increase A person earning \(\$ 3,500\) a month gets a raise of \(\$ 350\) per month. What is the percent increase in salary? \(A\) student reader is making \(\$ 6.50\) per hour and gets a \(\$ 0.70\) raise. What is the percent increase? (Round to the nearest tenth of a percent.)

5 step solution

Problem 8

Tax Rate If the purchase price of a bottle of California wine is $$ 24\( and the sales tax is $$ 1.50\) what is the sales tax rate?

5 step solution

Problem 8

Solve each of the following problems. What number is \(2 \%\) of \(49 ?\)

5 step solution

Problem 8

Write each percent as a fraction with denominator \(100 .\) $$35 \%$$

2 step solution

Problem 9

A These problems are similar to the examples found in this section. They should be set up and solved in the same way. (Problems 1-12 involve simple interest.) Student Loan A student takes out an emergency loan for tuition, books, and supplies. The loan is for \(\$ 600\) with an annual interest rate of \(5 \% .\) How much interest does the student pay if the loan is paid back in 60 days?

5 step solution

Problem 9

Solve each of the following problems by first restating it as one of the three basic percent problems of Section 7.2 . In each case, be sure to show the equation. Determining a Tip Servers and wait staff are often paid minimum wage and depend on tips for much of their income. It is common for tips to be \(15 \%\) to \(20 \%\) of the bill. After dinner at a local restaurant the total bill is 56.00 dollar since your service was above average you decide to give a \(20 \%\) tip. Determine the amount of the tip you leave for your server.

4 step solution

Problem 9

Solve each of these problems using the method developed in this section. Shoes that usually sell for \(\$ 25\) are on sale for \(\$ 20 .\) What is the percent decrease in price?

5 step solution

Problem 9

Solve each of the following problems. What percent of 24 is \(12 ?\)

5 step solution

Problem 9

Change each percent to a decimal. $$23 \%$$

3 step solution

Problem 10

A These problems are similar to the examples found in this section. They should be set up and solved in the same way. (Problems 1-12 involve simple interest.) Short-Term Loan If a loan of \(\$ 1,200\) at \(9 \%\) is paid off in 90 days, what is the interest?

4 step solution

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