Answer:
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will amount to $17,750 . The variable costs will be $12.75 per book.
Step-by-step explanation:
Answer:
3183.96 ft^3
Step-by-step explanation:
let pi = 3.14
volume of a cylinder is base * height
find the base: (area of circle)
height is given
container A:
circle area = 530.66
multiply 530.66 by the height (13)
530.66 * 13 = 6898.58
container B:
circle area = 530.66
multiple 530.66 by the height (19)
530.66 * 19 = 10082.54
Find empty space:
10082.54-6898.58 = 3183.96
Answer:
350
Step-by-step explanation:
Let
total number of sixth-grade students.
It is given that 60% of sixth-grade students prefer pizza which is equivalent to 210 sixth-grade students. With this, the following can be written:

(
can be converted into the decimal form
)


∴ There is a total of 350 sixth-grade students in the school.
Hope this helps :)
Answer:
p = 8
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₉ = 4 + 5p and d = 5, then
a₁ + 8d = 4 + 5p, that is
a₁ + 8(5) = 4 + 5p
a₁ + 40 = 4 + 5p ( subtract 40 from both sides )
a₁ = 5p - 36
a₂ = 5p - 36 + 5 = 5p - 31
a₃ = 5p - 31 + 5 = 5p - 26
a₄ = 5p - 26 + 5 = 5p - 21
Given that the sum of the first 4 terms = 7p - 10, then
5p - 36 + 5p - 31 + 5p - 26 + 5p - 21 = 7p - 10, that is
20p - 114 = 7p - 10 ( subtract 7p from both sides )
13p - 114 = - 10 ( add 114 to both sides )
13p = 104 ( divide both sides by 13 )
p = 8