a) The total monthly cost is the sum of the fixed cost and the variable cost. If q represents the number of cones sold in a month, the monthly cost c(q) is given by
c(q) = 300 + 0.25q
b) If q cones are sold for $1.25 each, the revenue is given by
r(q) = 1.25q
c) Profit is the difference between revenue and cost.
p(q) = r(q) - c(q)
p(q) = 1.00q - 300 . . . . . . slope-intercept form
d) The equation in part (c) is already in slope-intercept form.
q - p = 300 . . . . . . . . . . . . standard form
The slope is the profit contribution from the sale of one cone ($1 per cone).
The intercept is the profit (loss) that results if no cones are sold.
e) With a suitable graphing program either form of the equation can be graphed simply by entering it into the program.
Slope-intercept form. Plot the intercept (-300) and draw a line with the appropriate slope (1).
Standard form. It is convenient to actually or virtually convert the equation to intercept form and draw a line through the points (0, -300) and (300, 0) where q is on the horizontal axis.
f) Of the three equations created, we presume the one of interest is the profit equation. Its domain is all non-negative values of q. Its range is all values of p that are -300 or more.
g) The x-intercept identified in part (e) is (300, 0). You need to sell 300 cones to break even.
h) Profit numbers are
425 cones: $125 profit
550 cones: $250 profit
700 cones: $400 profit
Answer:
g(x) = x+5
Step-by-step explanation:
Given that,
We need to find the polynomial. We know that, Euclid division lemma states that
Where
f(x) is dividend
g(x) is the poynomial
q(x) is quotient
r(x) is remainder
So,
So, the polynomial is (x+5).
Answer:
Not independent
Step-by-step explanation:
The number of single bedroom apartments is 90;
The number of single occupants in that 90 is 64;
64/90 or 32/45 is the rate that a single occupant lives in a 1 bedroom apartment.
The number of multiple bedroom apartments is 110;
The number of single occupants in that 110 is 12;
12/110 or 6/55 is the rate that a single occupant lives in a multiple-bedroom apartment.
The rate of single occupants in any type of apartment is 76/200 or 19/50
32/45>19/50>6/55; since the rate of single occupants in 1 bedroom apartments is higher than the rate of single occupants living in any type of apartment and a multiple-room apartment, the event that an apartment has 1 bedroom and 1 occupant is not indepenent.
Answer:
second one is 3, the last one is 4560
Step-by-step explanation:
Answer:
502m
Step-by-step explanation:
let x and y represent the length and breadth of rectangular meadow respectively.
Given,
Perimeter of the meadow =1004m
or,2(l+b)=1004m
or2(x+y)=1004m
orx+y=1004m/2
or,x+y=502m
i.e sum of length and breadth
