Answer:
The profit will be maximum on x = 250.
Step-by-step explanation:
From the given information:
Revenue = 1500x - x²
Cost = 1500 + 1000x
As we know that
Profit = Revenue - Cost ; Let say it equation 1
Then after putting the values of revenue and cost in equation 1 we have:
Profit = (1500x - x²) - (1500 + 1000x)
Profit = 1500x - x² - 1500 - 1000x
Profit = -x² + 500x - 1500
We know that at the max or min the slope of the graph formed by the profit function will be zero, therefore we find the slope of profit function by taking the first derrivative w.r.t. x as under:
d(Profit)/dx = d/dx(-x² + 500x - 1500)
d(Profit)/dx = -2x + 500
By putting the above slope equal to zero we get:
d(Profit)/dx = -2x + 500 = 0
-2x + 500 = 0
-2x = -500
x = 250
Therefore it is concluded that the profit will be maximum when x will be equal to 250.
The whole bill is $31.99 that is 100%. You can use mental math to determine exatcly 15% from $31.99:
1. 15%=10%+5%
2. To find 10% from $31.99 you should simply divide $31.99 by ten. Thus, 10% from $31.99 is $3.199.
3. 5% is half of 10%, then 5% from $31.99 is $3.199:2=$1.5995.
4. 15% from $31.99 is $3.199+$1.5995=$4.7985≈$4.80.
Answer: correct choice is B.
Answer:
<h2>d. $250</h2>
Step-by-step explanation:
We can use the equation of a straight line to model the cost of servicing the car.
let the cost be y and the number of hours be x
and the charge per hour is m
y=mx+c
y=50x+25
given that the time is 3.45 hours it is assumed that the charge is for 4 hours since for a fraction of 0.45 hours we are charged $50
y=50(4)+25
y=200+25
y=$225
Answer:
Dave got the entire office a loaf of bread and it has 11 slices. There where 4 other people that got the bread including dave how many slices would each person get?
Step-by-step explanation:
just divide 11 by 4
i think its 1000%
why?
''Convert the decimal to a percentage by multiplying the decimal by 100.''
