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:
true
Step-by-step explanation:
The terms 'technology' and 'applied science' will be taken here as synonymous, although neither is adequate: in fact, 'technology' sug- gests the study of practical arts rather than a scientific discipline, and 'applied science' suggests the application of scientific ideas rather than that of the scientific method
Answer:
-4,-3,-2,-1,1
Step-by-step explanation:
these numbers can be expressed in a fraction
Answer:
m∠ D = 110°.
Justification is below.
Step-by-step explanation:
Consider quadrilateral CDEF as a parallelogram,
Opposite sides of a parallelogram are parallel
∴ DE || CF
If two lines are parallel then the interior angles SUM is 180°
Angle C and Angle D are interior angles.
∴ m ∠C + m∠ D = 180°
Here
m ∠C = 70° {Given}
on substituting the above value we get
∴ 70 + m∠ D = 180°
∴ m∠ D = 180 - 70
∴ m∠ D = 110°
∴ m∠ D = 110° which is the required answer.
Answer:
Slope: 4
Y-intercept: -5
Equation: y=4x-5
Step-by-step explanation:
Slope formula:
So let's use the ordered pairs (1, -1) and (2,3) from the table (it doesnt matter which ones you choose) and plug the numbers in to the formula:
Which is equal to:
Which is equal to 4. So the slope is 4.
To find the y-intercept, substitute the slope and an ordered pair into the slope-intercept equation, y=mx+b. So let's use (1,-1).
-1=4(1)+b
= -1=4+b
= -1-4=4-4+b
= -5=b
So the y-intercept is -5.
Then for the equation, you just plug in the slope and the y-intercept into y=mx+b, which would be:
y=4x-5
