Algebra Demystified 2nd Ed

(Marvins-Underground-K-12) #1

324 algebra De mystif ieD


the year would be 0.0575x. The total income from Bank B would be
25 + 0.0575x.
IncomefromBankAI≥ncomefromBankB
0 0650. x≥ 25 ++
-≥-


0 0575
0 0575 0 0575
0 0075 25
25
0 0075

.
..
.

.

x
xx
x

x

x≥≥3333 33.

A customer would need to deposit at least $3333.33 in Bank A to earn no
less than would be earned at Bank B.

PRACTICE


  1. A scholarship administrator is using a $500,000 endowment to pur-
    chase two bonds. A corporate bond pays 8% interest per year and a
    safer treasury bond pays 541 % interest per year. If he needs at least
    $30,000 annual interest payments, what is the least he can spend on
    the corporate bond?

  2. Kelly sells corn dogs at a state fair. Booth rental and equipment rental
    total $200 per day. Each corn dog costs 35 cents to make and sells for
    $2. How many corn dogs should she sell in order to have a daily profit
    of at least $460?

  3. The owner of a snow cone machine pays $200 per month to rent his
    equipment and $400 per month for a stall in a flea market. Each snow
    cone costs 25 cents to make and sells for $1.50. How many snow cones
    does he need to sell in order to make a profit?

  4. A tee-shirt stand can sell a certain sports tee shirt for $18. Each shirt
    costs $8 in materials and labor. Monthly fixed costs are $1500. How
    many tee shirts must be sold to guarantee a monthly profit of at
    least $3500?

  5. A car rental company rents a certain car for $40 per day with unlimited
    mileage or $24 per day plus 80 cents per mile. What is the most a cus-
    tomer can drive the car per day for the $24 option to cost no more than
    the unlimited mileage option?


PRACTICE


  1. A scholarship administrator is using a $500,000 endowment to pur-

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