Answer:
c = -10
Step-by-step explanation:
16c -24=4c -144
Subtract 4c from both sides
16c - 4c - 24 = 4c - 4c - 144
12c - 24 = -144
Add 24 to both sides
12c -24 + 24 = -144 + 24
12c = -120
Note: -144 + 24 = -120
12c = -120
Divide both sides by 12
12c/12 = -120/12
c = -10
Note: 12/12 = 1 and -120/12 = -10
Checking :
16c -24=4c -144
Put c = -10
16(-10) - 24 = 4(-10) - 144
-160 - 24 = -40 - 144
-184 = -184
Therefore
c = -10
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30 mi/h= 180 mi/min= 950400 ft/min
1) Before tax = $249.99
100% = 1 = 249.99
4% = 0.04
100% + 4% = 104% = 1.04 multiplier
1.04 x $249.99 = $259.9896 = $259.99 After Tax
2) After tax = $249.99
100% = 1
4% = 0.04
1 + 0.04 = 1.04
104% = $249.99
$249.99 / 1.04 = $240.375 = $240.38 Before Tax
Answer:
D
Step-by-step explanation:
Answer:
Step-by-step explanation:
The numbers x, and y are the first three terms of an arithmetic progression.
For three consecutive terms, a, b and c of an arithmetic sequence:
The arithmetic mean,
Therefore:
The numbers x, and y are three consecutive terms of a geometric progression.
For three consecutive terms, a, b and c of a geometric sequence:
The geometric mean,
Therefore:
Substituting derived above, we have:
This is a quadratic equation which we can then solve for y.
Using a calculator, we obtain:
Therefore, the values of x and y are: