Answer:
x = - 5, y = - 9
Step-by-step explanation:
Given
x + 9i = - 5 - yi
For the 2 sides to be equal then the coefficients of like terms must be equal.
x = - 5 and 9 = - y ⇒ y = - 9
Answer:
Step-by-step explanation:
first multiply 4 X 2= 8
8+2x=42
Now you are going to pass 8 to the other side by adding -
2x=42-8
2x=34
Now you are going to divide 34 between 2 to eliminate the 2 multiplying in the other side. 34 between 2= 17
X=17
Hope this helps :)
Answer:
There are 2 nitrogen, 4 hydrogen, and 3 oxygen atoms in the chemical formula for ammonium nitrate.
Step-by-step explanation:
2/3 +4/3=6/3=2.... Self explanatory
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.
