The equation is: 
and Julianne will begin making a profit after 168 days.
<em><u>Explanation</u></em>
Her total start-up cost is $52,000.
Each day, she spends $650 on operating costs (like utilities and wages) and she earns $960 per day from her students' lesson fees.
If the number of days to overcome the start-up cost is 
, then
the total operation cost spent in days 
and
the total students' lesson fees earned in days 
<em><u>Part A:</u></em> The equation to represent the situation will be:
<u><em>Part B:</em></u><em> </em><em> </em>Julianne will begin making a profit when....
So, Julianne will begin making a profit after 168 days.
Answer:
$54
Step-by-step explanation:
The amount of the discount can be found by multiplying 180 by 0.3 which is 54.
If you also need to know the new total it would be $126 because
180 - 54 = 126
1/2 of the beads will be blue, and 1/2 of them would be red Hope this helped!
Answer:
See below in bold.
Step-by-step explanation:
Use the point-slope form of a straight line
y - y1 = m(x - x1)
Here m = -5/9 , x1 = 9 and y1 = -3:, so
y - -3 = -5/9(x - 9)
y + 3 = -5/9x + 5
y = -5/9x + 2 is the equation parallel to the given line.
The line perpendicular to the given line will have a slope of - 1 / -5/9
= 9/5 so its equation is
y + 3 = 9/5(x - 9)
y = 9/5x - 81/5 - 3
y = 9/5x - 96/5 .
(1 - 2x)⁴
(1 - 2x)(1 - 2x)(1 - 2x)(1 - 2x)
[1(1 - 2x) - 2x(1 - 2x)][1(1 - 2x) - 2x(1 - 2x)]
[1(1) - 1(2x) - 2x(1) - 2x(-2x)][1(1) - 1(2x) - 2x(1) - 2x(-2x)]
(1 - 2x - 2x + 4x²)(1 - 2x - 2x + 4x²)
(1 - 4x + 4x²)(1 - 4x + 4x²)
1(1 - 4x + 4x²) - 4x(1 - 4x + 4x²) + 4x²(1 - 4x + 4x²)
1(1) - 1(4x) + 1(4x²) - 4x(1) - 4x(-4x) - 4x(4x²) + 4x²(1) - 4x²(4x) + 4x²(4x²)
1 - 4x + 4x² - 4x + 16x² - 16x³ + 4x² - 16x³ + 16x⁴
1 - 4x - 4x + 4x² + 16x² + 4x² - 16x³ - 16x³ + 16x⁴
1 - 8x + 24x² - 32x³ + 16x⁴
