Answer:
208 ft^3
Step-by-step explanation:
Let the plane through the 4 ft X 4ft square at the top of the figure break the figure into 2 boxes, one has dimensions (8-7) by 3 by 4 = 1ft X 3ft X 4ft, and the other has dimensions 7 by 7 by 4 = 7ft X 7ft X 4ft.
They have volumes of (1)(3)(4) = 12 ft^3, and (7)(7)(4) = 196 ft^3, respectively, so the total volume = 12 + 196 = 208 ft^3, the answer.
In this question, the information that Katie has already read 32% of a book that has a total of 80 pages is of great importance. This information is enough to find the required answer to the question.
Total number of pages Katie has to read = 80
Percentage of pages that Cathie read = 32%
Number of pages that Katie read = (32/100) * 80
= 256/10
= 25.6 pages
Then
The number of pages that Katie have left to read = 80 - 25.6
= 54.4 pages
So Katie has 54.4 pages left to read.
Answer:
Salaried pay is preferable for a new employee
Step-by-step explanation:
<u>As per table, hours worked per week:</u>
- 0+ 8.5+ 9.5+ 7.5+ 8+ 8.5+ 4 = 46
<u>Employee gets paid for 46 hours per week:</u>
- $40*14 + (46- 40)*$21 = $686
<u>Average yearly salary would be:</u>
<u>Comparing with annual salary, we see:</u>
As we see, hourly employees get paid less, so the new employee should choose annual salary option
9514 1404 393
Answer:
geometric sequence
Step-by-step explanation:
The terms of the sequence have a common ratio of -12/3 = -4, so the sequence is geometric. The general term is ...
an = 3(-4)^(n-1)
so the sum can be written as ...
(Note the summation starts at n=0, corresponding to a first term of 3.)
Add 5 on both sides
Make the denominators the same
Multiply 13 on both sides
