Answer:
1.) 500 pages
2.) $125
Step-by-step explanation:
Given that the printer cost $100. To operate at home will cost
100 + 0.05P
To print out pages at an office store, it will cost 0.25P
1.) For the costs to be the same, then
100 + 0.05P = 0.25P
0.25P - 0.05P = 100
0.20P = 100
P = 100/0.2
P = 500 pages
500 pages need to be printed
2.) How much does it cost to print that many pages?
Cost = 0.25P
= 0.25 × 500
= 125 dollars
X=p /log8
p/ log8 (log2) =
plog2 / log8
Answer: x = 4 , y = -3
Step-by-step explanation:
Going by the Cramer's rule , we first determine the determinant by dealing with only the coefficients of x and y in the 2 x 2 matrix.
2x - 3y = 17
5x + 4y = 8
2 -3
5 4, going by the rule now, we now have
(2 x 4) - (5 x -3)
8 + 15
= 23.
Now to find the value of x , replace the constants with the coefficient of x and divide by he determinants.
17 -3
8 4
---------------
2 -3
5 4
( 17 x 4 ) - ( 8 x -3 )
---------------------------
23
= 68 + 24
------------
23
= 92/23
= 4.
x = 4
Now to find y, just repeat the process by replacing the coefficient of y with the constants.
2 17
5 8
-----------
2 -3
5 4
( 2 x 8 ) - ( 5 x 17 )
-----------------------
23
16 - 85
---------
23
= -69/23
= -3
y = -3.
check
substitute for the values in any of the equations above.
2(4) - 3(-3)
8 + 9
= 17
Answer:
3
Step-by-step explanation:
A difference of squares factors in general as
a² - b² = (a - b)(a + b)
Given the factor (- 5x + 3) of a difference of squares product.
Then the other factor is (- 5x + 3)
If you spent 80% that means you have 20% left, we'll use B as variable
20% x B = 12
0.20/0.20 x B = 12/0.20
B = 60
