Answer:
About 14.14
Step-by-step explanation:
V = 4/3pi x r^3
To find the radius, divide the diameter by 2 (1.5)
Substitute 1.5 in place of r and solve the equation.
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:
- 
Step-by-step explanation:
The reciprocal of a number n is 
The negative reciprocal is the negative of this, thus
reciprocal of 2 is -
Answer:
$315
Step-by-step explanation:
1.75 x 100 = $175
3.50 x 40 =$140
175 + 140 = $315
Answer : 3, 360 ways
Total number of people running the race = 16
We have three slot to be filled for first, second and third
Any person can take the first position irrespective of the arrangement
one out of the 16 people can come first
out of the 15 people remaining , one person can also come second remaining 14
out of the 14 people, one person can also come third
The number of ways the gift can be awarded = 16 x 15 x 14
The nummber of ways the prizes can be awarded = 3360 ways
