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love history [14]
2 years ago
15

3(2x+1)=5(2-x)+3(x+4) X=?

Mathematics
2 answers:
Len [333]2 years ago
8 0
X=2 3/8 or you can write it x=2.375
stellarik [79]2 years ago
3 0
X= 19/8
X= 2 3/8 or x= 2.375
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How many wholes are there in 71/8 in a fraction
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What expression represents a number one fourth as great as 10-2
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Kim took out a $55,000 loan for college. She is borrowing money from two banks. Bank A charges an interest rate of 8%, and Bank
stellarik [79]
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
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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).
0.05A + 0.06(10000 - A) = 530
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-0.01A = -70
A = -70/-0.01 = 7000

Answer: Jack borrowed $7,000 from bank A.
3 0
3 years ago
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