Answer:
22.5 hours
Step-by-step explanation:
191.25 divided by 8.50 hours will get you the total amount of hours she worked
Total cost of item = $138
Explanation:
The tax percentage = 15%
cost of item = $120
sales tax = cost of item × The tax percentage
sales tax = 120 × 15%
=120 × 0.15
sales tax = $18
Total cost of item = initial cost of item + sales tax
Total cost of item = 120 + 18
Total cost of item = $138
We integrate the given equation such that,
integral of g(x) = (5/3)x³ - 9x² + 35x
Substituting,
x = 13
integral of g(x) = (5/3)(13³) - 9(13)² + 35(13)
= 2595.67
and, x = 0
integral of g(x) = 0
The area is 2595.67 - 0 = 2595.67
For the second part,
x = 1
integral of g(x) = (5/3)(1)³ - 9(1)² + 35(1)
= 27.67
Area under the curve between x = 0 and x = 1 is 27.67
The difference between the two areas is,
2595.67 - 27.67 = 2568.0
Answer: 2568.0 units squared
<h3><u>Question</u><u>:</u></h3>
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.
<h3><u>Solution</u><u>:</u></h3>
- Let the age of Tiffany be x years.
- Then, the age of Emily = 4x years.
- After 10 years, the age of Tiffany will be (x+10) years.
- After 10 years, the age of Emily will be (4x+10) years.
- Therefore, by the problem
- So, Tiffany's present age = 5 years.
- Emily's present age = (4×5) years = 20 years.
<h3><u>Answer:</u></h3>
Emily's age is 20 years and Tiffany's age is 5 years.
Hope it helps!
