Answer:
Step-by-step explanation:
To solve a formula for one of its variables do that
- Separate it on one side and the other terms on the other side
- Make its coefficient equals 1
Let us use these steps to solve our question
∵ V = 
b²h
→ Underline b
∴ V = <u>b²</u>h
→ Multiply both sides by 3 to cancel the denominator on the right side
∴ 3V = <u>b²</u>h
→ Divide both sides by h to move it to the other side
∴ 
→ To find b take √ for both sides
∴ 
→ The square root will cancel the power 2 of b
∴ 
→ Switch the two sides
∴
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:
3
Step-by-step explanation:
<u>Given</u>
- length =6x 106 mm
- width = 2x 106 mm
<u>Ratio of length to width:</u>
Answer is 3 times
Answer:
She will need $23.87
Step-by-step explanation:
No bc it all adds up to $143.87 so she would need $23.87 more to be able to pay.
