Answer: Our required equation will be
y-80x=65
Step-by-step explanation:
Since we have given that
Number of days Max rented a motorbike at $465 = 5 days
Number of days Max rented a motorbike at $625 = 7 days
According to question, we'll use " Equation of line using two points "
Hence, our required equation will be
y-80x=65
Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).
B(y)=b-c
B(y)=100y-18y²
Now that we have a net benefits function we need find it's derivate with respect to y.
Now we must find at which point this function is equal to zero.
0=100-36y
36y=100
y=2.8
Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.
B(2.8)=100(2.8)-18(2.8)²=138.88≈139.
One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.
Answer:
x=24
y=36
Step-by-step explanation:
x=smaller number
y=larger number
x+12=y x/2=y/3
x/2=(x+12)/3
cross multiply and distribute
3x=2x+24
x=24
24+12=y
y=36
-16 = 8x/5......8x/5 is the same as 8/5(x)
-16 = (8/5)x...divide both sides by 8/5
-16 / (8/5) = x
-16 * 5/8 = x
-80/8 = x
-10 = x <===
Answer:
Total earned= $273
Step-by-step explanation:
Giving the following information:
Regular labor hours= $5.25
Overtime labor hours= $5.25*1.5= $7.875
<u>To calculate the total earned, we need to use the following formula:</u>
Regular labor hours= 40*5.25= 210
Overtime labor hours= 8*7.875= 63
Total earned= 210 + 63
Total earned= $273
