Basic Mathematics for College Students

(Nandana) #1

  1. CAR INSURANCE A student paid a car insurance
    premium of $420 every three months. Then the
    premium dropped to $370, because she qualified
    for a good-student discount. What was the percent
    of decrease in the premium? Round to the nearest
    percent.

  2. BUS PASSES To increase the number of riders, a bus
    company reduced the price of a monthly pass from
    $112 to $98. What was the percent of decrease in the
    cost of a bus pass?

  3. BASEBALL The illustration below shows the
    path of a baseball hit 110 mph, with a launch angle
    of 35 degrees, at sea level and at Coors Field, home
    of the Colorado Rockies. What is the percent of
    increase in the distance the ball travels at Coors
    Field?


Source: Los Angeles Times,September 16, 1996


  1. EARTH MOVING The illustration below shows
    the typical soil volume change during earth moving.
    (One cubic yard of soil fits in a cube that is 1 yard
    long, 1 yard wide, and 1 yard high.)
    a. Find the percent of increase in the soil volume as
    it goes through step 1 of the process.
    b. Find the percent of decrease in the soil volume as
    it goes through step 2 of the process.


Denver
Sea level

100

120

80
60

Vertical distance (ft)

40
20
0
0 100 200
Horizontal distance (ft)

300 440484


  1. REAL ESTATE After selling a house for $98,500, a
    real estate agent split the 6% commission with another
    agent. How much did each person receive?

  2. COMMISSIONS A salesperson for a medical
    supplies company is paid a commission of 9% for
    orders less than $8,000. For orders exceeding $8,000,
    she receives an additional 2% in commission on the
    total amount. What is her commission on a sale of
    $14,600?

  3. SPORTS AGENTS A sports agent charges her
    clients a fee to represent them during contract
    negotiations. The fee is based on a percent of the
    contract amount. If the agent earned $37,500 when
    her client signed a $2,500,000 professional football
    contract, what rate did she charge for her services?

  4. ART GALLERIES An art gallery displays paintings
    for artists and receives a commission from the artist
    when a painting is sold. What is the commission rate if
    a gallery received $135.30 when a painting was sold
    for $820?

  5. WHOLE LIFE INSURANCE For the first 12 months,
    insurance agents earn a very large commission on the
    monthly premium of any whole life policy that they
    sell. After that, the commission rate is lowered
    significantly. Suppose on a new policy with monthly
    premiums of $160, an agent is paid monthly
    commissions of $144. Find the commission rate.

  6. TERM INSURANCE For the first 12 months,
    insurance agents earn a large commission on the
    monthly premium of any term life policy that they
    sell. After that, the commission rate is lowered
    significantly. Suppose on a new policy with monthly
    premiums of $180, an agent is paid monthly
    commissions of $81. Find the commission rate.

  7. CONCERT PARKING A concert promoter gets
    a commission of of the revenue an arena
    receives from parking the night of the performance.
    How much can the promoter make if 6,000 cars are
    expected and parking costs $6 a car?

  8. PARTIES A homemaker invited her neighbors to a
    kitchenware party to show off cookware and utensils.
    As party hostess, she received 12% of the total sales.
    How much was purchased if she received $41.76 for
    hosting the party?


33 13 %


Existing
parking
1,000,000 ft^2

Proposed
new parking

1,000 ft

300 ft

550 Chapter 6 Percent


1.0 cubic yard in
natural condition
(in-place yards)

1.25 cubic yards
after digging
(loose yards)

0.80 cubic yard
after compaction
(compacted yards)

Step 1

1.25

Step 2

1.0 0.80

Source:U.S. Department of the Army


  1. PARKING The management of a mall has decided
    to increase the parking area. The plans are shown in
    the next column. What will be the percent of increase
    in the parking area when the project is completed?

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