Answer:
-3.2 is the smallest integer
Step-by-step explanation:
Solve for x:
x^9 = n x
Subtract n x from both sides:
x^9 - n x = 0
Factor x and constant terms from the left hand side:
-x (n - x^8) = 0
Multiply both sides by -1:
x (n - x^8) = 0
Split into two equations:
x = 0 or n - x^8 = 0
Subtract n from both sides:
x = 0 or -x^8 = -n
Multiply both sides by -1:
x = 0 or x^8 = n
Taking 8^th roots gives n^(1/8) times the 8^th roots of unity:
Answer: x = 0 or x = -n^(1/8) or x = -i n^(1/8) or x = i n^(1/8) or x = n^(1/8) or x = -(-1)^(1/4) n^(1/8) or x = (-1)^(1/4) n^(1/8) or x = -(-1)^(3/4) n^(1/8) or x = (-1)^(3/4) n^(1/8)
Answer:
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Step-by-step explanation:
Part A:
First we define the variable to be used for the problem:
x: the number of pages that Sandra should fax
The inequality for rent is:
0.06x <= 80
Note that the price will be less than using the fax from the office, since for the same number of pages, we have:
y = 0.10x
Answer:
an inequality that can be used to calculate the number of pages that Sandra should fax in a year is:
0.06x <= 80
Part B:
0.06x <= 80
From here we clear x:
x <= 80 / 0.06
x <= 1333.33333
Nearest whole number
x <= 1333
Sandra can use the leased fax for 1333 pages and the cost will be:
1333 * 0.06 = 79.98 $
Using the office fax the cost will be:
1333 * 0.1 = 133.3 $
Answer:
By renting the sara machine, you save:
133.3-79.98 = 53.32 $
<span>$1025 * 0.06 * 5
</span>
= 333.125
= 333.13
<span>$1025 + $333.13 = $1,358.13
answer: </span><span>ending balance $1,358.13</span>
