Answer:
D. 68 (APEX).........................................................................................
Answer:
$10.15
Step-by-step explanation:
68.15 - 58 = 10.15
Answer:
B. π(3/2)²h
(27/4)π cubic inches
Step-by-step explanation:
A. The formula for the volume of a cylinder is ...
V = πr²h
The radius (r) is half the diameter, so for a diameter of 3 inches, the radius is 3/2 inches. When this is put into the formula, the volume is ...
V = π(3/2)²h . . . . . . matches choice B
__
B. When h=3, the volume evaluates to ...
V = π(9/4)(3) = (27/4)π . . . . cubic inches
The mathematical model representing the scenarios described can be expressed as follows :
- If n ≤ 8 ; A(n) = 31.25n
- If n > 8 ; A(n) = 31.25 + 46.875(n - 8)
1.)
Amount paid per 8 hours at summer job = 250
Additional hours beyond, 8 hours = 1.5 × hourly rate
Let:
- hourly rate = p
- Number of hours worked = n
- Amount earned as a function of n, A(n)
Hourly rate, p = (250 ÷ 8) = 31.25
Therefore, the hourly rate, p at the summer job = $31.25
Overtime pay = 1.5 × 31.25 = $46.875
Therefore,
If n ≤ 8 ; A(n) = 31.25n
If n > 8 ; A(n) = 31.25 + 46.875(n - 8)
2.)
Let :
- Number of playing hours = n
- Total amount charged as a function of n ; T(n)
Therefore,
T(n) = First hour fee + (charge per additional hour × number of additional hours)
T(n) = 15 + 5(n - 1)
Therefore, the models can be used to calculate the total earning and amount charged for any given hour value.
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