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Dvinal [7]
3 years ago
14

the height of the gateway arch show on the missouri quarter is 630 feet, or 7,560 inches. find how many 4-inch stacks for quarte

rs make up the height of the gateway arch. if theres 58 quarters in a 4-inch stack, how many quarters high is the arch?
Mathematics
1 answer:
german3 years ago
8 0
To find how many stacks of quarters there are we must divide 7,560 by 4.

7,560 / 4 = 1,890

There are 1,890 4-inch stacks. To find how many quarters are in all the stacks, we multiple 1,890 by 58.

1,890 * 58 = 102,060

The arch is 102,060 quarters high
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Kim's Loan:
Let A =  amount borrowed from bank A.
Let B =  amount borrowed from bank B.

The total loan is $55,000.
Therefore
A + B = 55000                  (1)

Bank A charges 8% interest. The interest after 1 year is 0.08A.
Bank B charges 11% interest. The interest after 1 year is 0.11B.
Total interest after 1 year is $5,000.
Therefore
0.08A + 0.11B = 5000      (2)

From (1), obtain
B = 55000 - A                  (3)

Substitute (3) into (2).
0.08A + 0.11(55000 - A) = 5000
0.08A + 6050 - 0.11A = 5000
-0.03A = -1050
A = -1050/-0.03 = 35000

Answer:  Kim borrowed $35,000 from bank A.

Jack's Loan.
A = loan from bank A.
B = loan from bank B.
The total loan is $10,000.
Therefore
A + B = 10000                  (4)

Bank A charges 5% interest and bank B charges 6% interest.
Total interest after 1 year is $530, therefore
0.05A + 0.06B = 530       (5)

From (4), obtain
B = 10000 - A                       (6)

Substitute (6) into (5).
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0.05A + 600 - 0.06A = 530
-0.01A = -70
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Answer: Jack borrowed $7,000 from bank A.
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