Answer:
a. 1620-x^2
b. x=810
c. Maximum value revenue=$656,100
Step-by-step explanation:
(a) Total revenue from sale of x thousand candy bars
P(x)=162 - x/10
Price of a candy bar=p(x)/100 in dollars
1000 candy bars will be sold for
=1000×p(x)/100
=10*p(x)
x thousand candy bars will be
Revenue=price × quantity
=10p(x)*x
=10(162-x/10) * x
=10( 1620-x/10) * x
=1620-x * x
=1620x-x^2
R(x)=1620x-x^2
(b) Value of x that leads to maximum revenue
R(x)=1620x-x^2
R'(x)=1620-2x
If R'(x)=0
Then,
1620-2x=0
1620=2x
Divide both sides by 2
810=x
x=810
(C) find the maximum revenue
R(x)=1620x-x^2
R(810)=1620x-x^2
=1620(810)-810^2
=1,312,200-656,100
=$656,100
Answer:
The correct answer is E. Neither the frequency nor the wavelength is affected. Explanation: The wave frequency does not affect the speed of that wave. An increase in frequency of a wave causes a decrease in wavelength while the wave speed remains the constant. The speed of the waves is significantly higher at higher tensions.
Step-by-step explanation:
3.14((4^2)+(4)(2))
3.14(16+8)
3.14(24)
=75.36
You just want to plug in the values of a and b into the equation and solve using order of operations. Hope this helps!
1. The lowest common multiple between 15 and 12 is 60.
So, the new denominator of the fraction become 60.
2. Because 15*4= 60 ; 12*5 =60
For sustaining the balance, we should multiply 24 (the first molecule) to 4 times and multiply 12 (the second molecule) to 5 times.
Like, 24*4 and 32*5
3.New denominator :60
New molecules : 24*4 + 32*5 = 256
Thus, 256/60
4.Ruduce of a fraction : 256/60 = 64/15
