Math 208 Chapter 1 & 2 Team Assignment

Week 3 Assignment

Chapter 1 & 2

Ch. 1, Section 1.6, Exercises, problem 105 (Top-Grossing Movies) Page 60, Mutiplication and division of real numbers, Applications

Top-Grossing Movies (Refer to Example 7.) The ten Commandments (1956) is the fifth top-grossing movie of all time. Find the total admissions for The Ten Commandments if they were 13/20 of the total admissions for the top-grossing movie of all-time, Gone With the Wind (1939), which had total admissions of 202 million. (Source: Exhibitor Relations Co., Inc.)

Data used in problem: 13/20 (total admissions), 202 million admissions

202 x 13/20 (Multiply numerators/multiply denominators)

2626/20 = 131.3 (Simplify the fraction)

Solution: Total admissions for The Ten Commandments – 131.3 million.

Ch. 1, Review Exercises, Problem 136 (Rule of 72), Page 87

Section: 1.3 Exponents and order of operations

136. Rule of 72 (Refer to Exercise 87 in Section 1.3.)

If an investment of $25,000 earns 9% annual interest, approximate the value of the investment after 24 years.

The rule of 72 determines the amount of time it will take an investment to double by dividing 72 by the annual interest rate.

72/9=8

So in 8 years the $25,000 investment will be at $50,000.

The investment will then double every 8 years.

16 years=$100,000

24 years=$200,000

Solution: In 24 years the $25,000 investment will have grown to $200,000.

Ch. 1, Review Exercises, problem 139 (Checking Account) Page 87

Section: Balancing a checking account

The initial balance in a checking account is $1652. Find the final balance resulting from the following sequence of withdrawals and deposits: -$78, -$91, $256, and -$638.

To find the final account balance, one would need to subtract the withdrawal amounts and add the deposit amounts to the initial balance.

1652-78-91+256-638=x

1101=x

Solution: Therefore, the final account balance is $1101.

Ch. 1, Review Exercises, Problem 141, Page 87

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