Show:
Investment Problems
Motion Problems
Number-Value Problems
Multiplying/Dividing Exponents
Zero/Negative Exponents
100
A professor wants to supplement her pension with investment interest. If she has $28,000 invested at 6% interest, how much would she also have to invest at 7% to earn a total of $3,500 per year in supplemental income?
What is $26,000? #21 Page 106 in solutions manual
100
The formula to calculate motion problems.
What is r * t = d? rate * time = distance
100
What is the formula to solve number-value problems?
What is Number * Value = Total Value
100
12^3 * 12^4
What is 12^7?
100
7^0
What is 1?
200
An investor wants to receive $1,000 annually from two investments. He has put $4,500 in a money market account paying 4% annually. How much should he invest in a stock fund with a 10% annual return to achieve his goal?
What is $8,200 #22 page 106 solutions manual
200
A car averaged 40mph for part of a trip and 50mph for the remainder. If the 5-hour trip covered 210 miles, for how long did the car average 40mph?
What is 4 hours? #33 page 108 in solutions manual
200
The owners of an apartment building rent equal numbers of 1, 2, and 3 bedroom units. The monthly rent for a 1-bedroom is $550, a 2-bedroom is $700 and a 3-bedroom is $900. If the total monthly income is $36,500, how many of each type of unit are there?
What is 17? #53 page 112 in solutions manual
200
x^4 * x^3
What is x^7?
200
2x^0
What is 2?
300
Equal amounts are invested in each of three accounts paying 7%, 8%, and 10.5% annually. If one year's combined interest income is $1,249.50, how much is invested in each account?
What is $4,900? #25 page 107 in solutions manual
300
Two remotely controlled aircraft are launched in opposite directions. One flies east at 78mph and the other west at 82mph. How long will it take the aircraft to fly a combined distance of 560 miles?
What is 3.5 hours? #28 page 108 in solutions manual
300
A scuba diver hired by an amusement park collected $121 in nickels, dimes, and quarters at the bottom of a wishing well. There are 500 nickels and 90 more quarters than dimes. How many quarters and dimes were thrown into the wishing well?
What is 210 dimes and 300 quarters. #58 page 113 in solutions manual
300
a^3aa^5
What is a^9?
300
(2x)^0
What is 1?
400
A financial planner recommends a plan for a client who has $65,000 to invest. 12% mutual fund and 6.2% municipal bonds. At the end of the presentation, the client asks, "How much will be invested at each rate?" Answer the question using the given information.
What is $42,200 at 12% and $22,800 at 6.2% #24 page 107 in solutions manual
400
Two trains are 330 miles apart, and their speeds by 20 mph. Find the speed of each train if they are traveling toward each other and will meet in 3 hours.
What is 65mph and 45mph? #36 page 109 in solutions manual
400
Epiphanny Prince of NY scored 113 points in a high school game on February 1, 2006, breaking a national prep record that was held by Cheryl Miller. Prince made 46 more 2-point baskets than 3-point baskets, and only 1 free throw. How many 2-point and 3-point baskets did she make?
What is 50 2-pointers, 4 3 - pointers? #59 page 113 in solutions manual
400
10^4 / 10^2
What is 10^2
400
x^-2
What is 1/x^2
500
Maggy lent her brother some money at 2% annual interest. She lent her sister twice as much money at half of the interest rate. In one year, Maggy collected combined interest of $200 from her brother and sister. How much did she lend each of them?
What is $5,000 brother, $10,000 sister?
500
A cyclist leaves his training base for a morning workout, riding at the rate of 18mph. One and one-half hours later, his support staff leaves the base in the car going 45mph in the same direction. How long will it take the support team to catch up with the cyclist?
What is 1 hour? #31 on page 108 in solutions manual
500
When a child emptied his coin bank, he had a collection of pennies, nickels, and dimes. There were 20 more pennies than dimes and the number of nickels were tripe the number of dimes. If the coins had a value of $5.40, how many of each type coin were in the bank?
What is 40 pennies, 20 dimes, and 60 nickels? #57 page 113 in solutions manual
500
c^3d^7 / cd
What is c^2d^6?
500
-3c^-4
What is -3/c^4?