Answer:
Price of widget to break even= $37.9
Step-by-step explanation:
We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;
y = -8x² + 348x - 1705
Now, the company will break even when it has made no profit. That is when, y = 0
Thus;
0 = -8x² + 348x - 1705
Rearranging,
8x² - 348x + 1705 = 0
Using quadratic formula ;
x = [-b ± √(b² - 4ac)]/2a
x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)
x = $5.63 or $37.87
We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.
We are told to approximate to nearest cent. Thus,
Price of widget = $37.87 ≈ $37.9
Answer: 31,755
Step-by-step explanation: You would just multiply 365 by 87 like this.
365 x 87
and the answer would be 31,755.
365 x 87 = 31,755
For quarters we have:

Where,
x: number of quarters
Clearing x we have:

For nickels we have:

Where,
y: number of nickels
Clearing y we have:

Then, the ratio of quarters to nickels is:

Simplifying we have:

Answer:
The ratio of quarters to nickels in a dollar is:

C. Alternate interior angles are formed by a transverse line intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transverse line
Answer:
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