Answer:
The area of rectangular prism is calculated by:
A = base area x height
= length x width x height
= 518 x 712 x 2
= 737632 (ft3)
Hope this helps!
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Answer:
Step-by-step explanation:
The cost function is expressed in dollars as
C(x) = 14980 + 20x
The revenue function is expressed in dollars as
R(x) = 30x
a) At the point of break even, the total cost equals the total revenue. There is neither profit nor loss. Therefore, the the number of units that must be produced and sold to break even would be
14980 + 20x = 30x
30x - 20x = 14980
10x = 14980
x = 1498
1498 mist be produced and sold to break even.
At this level, the dollar amount coming in and going out is
30 × 1498 = $44940
b) Profit = Revenue - cost
P(x) = R(x) - C(x)
P(x) = 30x - (14980 + 20x)
P(x) = 30x - 14980 - 20x
P(x) = 10x - 14980
Answer:
23 and 14
Step-by-step explanation:
Remark
This problem is done in 2 steps. The first step determines k and the second step is your answer.
Determining K
P = 233 million
A = 231 million
k = ??
t = 1999 - 1991 = 8 years.
Solution
P = Ae^(kt)
233 = 231 * e ^(kt) Divide by 231
233/231 = e^(k8) Do the division
1.008658 = e^(k8) Take the log of both sides.
ln(1.008658) = k8 * ln(e) You are in natural logs. Ln(e) = 1; kt can be brought down and made into a result that is multiplied by ln(e)
ln(1.008658) = 8k Take the ln of 1.008 ...
0.008621 = 8k Divide by 8
k = 0.008621 / 8
k = 0.0011 rounded, but a more accurate number is in the storage area of the calculator.
Now to get the second part.
P = ??
A = 231
k = 0.0011
t = 12
P = 231 * e^(0.0011*12)
P = 231 * e^(0.012931114) using the stored value of M
P = 231 * 1.013015083
P = 234.006 which rounded to the closest million is 234 million
Answer 234 million.
Answer:
C.
Step-by-step explanation: