Answer:
Step-by-step explanation: 4y+8=9 is an equation. 3-2 is an expression. 7y<6 is an inequality!
Answer:
Please, see the attached file.
Thanks.
Step-by-step explanation:
-5x-8y=40
This is a linear equation, and its graph is a right line, we only need two points, because by two points only goes trough only a right line:
1) For x=0→ -5(0)-8y=40
0-8y=40
-8y=40
Dividing both sides of the equation by -8:
-8y/(-8)=40/(-8)
y=-5
Point=(x,y)→Point=(0,-5)
2) For y=0→ -5x-8(0)=40
-5x-0=40
-5x=40
Dividing both sides of the equation by -5:
-5x/(-5)=40/(-5)
x=-8
Point=(x,y)→Point=(-8,0)
With these two points (0,-5) and (-8,0) we can draw the right line.
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).
0.05A + 0.06(10000 - A) = 530
0.05A + 600 - 0.06A = 530
-0.01A = -70
A = -70/-0.01 = 7000
Answer: Jack borrowed $7,000 from bank A.
