Answer:
The monthly net pay is $1555 .
Step-by-step explanation:
As given
Quintina decided to increase the deduction percentage of her federal income tax rate from 14% to 16%.
Quintina’s gross pay per month is $2,100.
16% is written in the decimal form .
= 0.16
Federal income tax = 0.16 × Gross pay
= 0.16 × 2100
= 336
Monthly net pay = Gross pay - Federal income tax - State Income Tax - Social Security - Medicare
= 2100 - 336 - 89 - 85 - 35
= 2100 - 545
= $1555
Therefore the monthly net pay is $1555 .
Answer: If you divide 73 by one hundred you get 73 hundredths as a decimal which is 0.73.
Step-by-step explanation:
Answer:
Step-by-step explanation:
From the given information:
a)
Assuming the shape of the base is square,
suppose the base of each side = x
Then the perimeter of the base of the square = 4x
Suppose the length of the package from the base = y; &
the height is also = x
Now, the restriction formula can be computed as:
y + 4x ≤ 99
The objective function:
i.e maximize volume V = l × b × h
V = (y)*(x)*(x)
V = x²y
b) To write the volume as a function of x, V(x) by equating the derived formulas in (a):
y + 4x ≤ 99 --- (1)
V = x²y --- (2)
From equation (1),
y ≤ 99 - 4x
replace the value of y into (2)
V ≤ x² (99-4x)
V ≤ 99x² - 4x³
Maximum value V = 99x² - 4x³
At maxima or minima, the differential of
⇒ 198x - 12x² = 0
By solving for x:
x = 0 or x =
Again:
V = 99x² - 4x³
At x =
= -198
Thus, at maximum value;
Recall y = 99 - 4x
when at maximum x =
y = 33
Finally; the volume V = x² y is;
V = 8984.25 inches³
Answer: False.
Step-by-step explanation:
The probability for any event =
Definition : A simple event is an event that has only one possible favorable outcomes.
If we toss a coin and roll a die .
The possible outcomes for event "tossing tails and rolling a 4 or 6" = {(T, 4) , (T,6)}
Since this event has 2 possible favorable outcomes , Therefore it is not an simple event.
Hence, the given statement is "false".
Answer:
2x
Step-by-step explanation: