Answer:
See verification below
Step-by-step explanation:
We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that
Now, differentiate to obtain
To obtain the required form, extract a factor in both the numerator and denominator:
Answer:
x=142, y=-360. (142, -360).
Step-by-step explanation:
5x+2y=-10
3x+y=66
----------------
5x+2y=-10
-2(3x+y)=-2*66
-----------------------
5x+2y=-10
-6x-2y=-132
-------------------
-x=-142
x=142
3(142)+y=66
426+y=66
y=66-426
y=-360
EXPLANATION:
1.25 + 0.8 + 2.75 = $4.8
ANSWER: $4.8
Answer:
45 its exponent
Step-by-step explanation:
2^3 is 8
3^3 is 27
Answer:
<em>Their total sales (revenue) when they break-even is $250,000</em>
Step-by-step explanation:
<u>Linear Modeling</u>
Some situations can be mathematically represented as linear functions. If we are in a situation where a linear model is suitable, then we need two independent data to build it up.
The linear function can be expressed in the slope-intercept format:
y = mx + b
Where m and b are constant values.
The total cost function for Rally Co.'s to produce x toy trucks is:
C(x) = 200,000 + 4x
Given they sell each truck for $20, the revenue function is:
R(x)= 20x
The break-even condition is when the costs and the revenue are equal:
20x = 200,000 + 4x
Subtracting 4x:
16x = 200,000
Dividing by 16:
x = 200,000/16
x = 12,500 toy trucks
The revenue at this production level is:
R(x)= 20*12,500=250,000
Their total sales (revenue) when they break-even is $250,000
