![gtjermaine3249](/avatars/34515.jpg)
gtjermaine3249
05.07.2019 •
Mathematics
You purchased $132.49 worth of wheels and bearings for your skateboards. the shop charges $15 per board to install them. the total cost is $192.49. how many skateboards will be repaired?
Solved
Show answers
More tips
- F Food and Cooking 10 Ideas for a Wedding Anniversary Gift...
- H Health and Medicine Hangover: How to Get Rid of It Quickly?...
- S Style and Beauty How to Choose the Right Fur Coat and Avoid Regrets?...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics If you roll two fair dice (one black die and one white die), in how many ways can you obtain a sum of at most 11?...
- H History What city does Charles de Gaulle insist needs to be liberated?...
- B Business Nantucket Industries manufactures and sells two models of watches, Prime and Luxuria. It expects to sell 3,300 units of Prime and 1,000 units of Luxuria in 2019.The following estimates...
Ответ:
4 skateborards will be repaired
Ответ:
The minimum number of widgets for the company to earn more than 50 dollars = 104 widgets.
Step-by-step explanation:
Complete Question
Inequality
Imagine the polynomial function shown represents the profits, in y dollars, earned by the production of x widgets.
y = -0.04x² + 40x - 3600
What is the minimum number of widgets for the company to earn more than 50 dollars?
Solution
For the profit to be more than 50
y > 50
-0.04x² + 40x - 3600 > 50
-0.04x² + 40x - 3650 > 0
0.04x² - 40x + 3650 < 0
(x - 898.4) (x - 101.6) < 0
Using the inequality table to obtain the required solution to this inequality
Eqn | x < 101.6 | 101.6 < x < 898.4 | x > 898.4
(x - 898.4) | -ve | - ve | + ve
(x - 101.6) | -ve | + ve | + ve
(x-898.4)(x-101.6) | +ve | - ve | +ve
Hence, the inequality that satisfies the equation of (x - 898.4) (x - 101.6) < 0, that is, negative, is 101.6 < x < 898.4.
And from this range, the minimum number of widgets for the company to earn more than 50 dollars = 102 widgets.
But 102 widgets give a profit of 13 dollars, 103 widgets give a profit of 47 dollars and it is until 104 widgets that the profits exceed 50 dollars truly.
Hope this Helps!!!