Answer:
$35714,29
Step-by-step explanation:
Equate:
Base salary of $15,000 a year with a commission of 19% of your sales to
Base salary of $20,000 a year with a commission of 5%:
$15,000 + 0.19s = $20,000 + 0.05s
Combining like terms, we get: 0.14s = $5000, or s= $35714.29.
When the level of sales reaches $35714,29, the amount earned via each option will be the same. From that point on, Option A produces a larger income.
Answer:
2/5 - 1/4 = 8/20 - 5/20 = 3/20
(3/20)t = 24
t = 160
160 cm3
Step-by-step explanation:
The diameter of the plate is 9.24 inches
Step-by-step explanation:
Let us consider the radius to be 'r'
Angle = 120°
Chord length = 8 inches
Chord length = 2rsin(θ/2)
8 = 2r sin(120/2)
8 = 2r sin60°
8/2 = r (√3/2)
4/(√3/2) = r
r = 8/√3
r = 8/1.73
r = 4.62 inches
Diameter of the plate = 2(4.62)
= 9.24 inches
The diameter of the plate is 9.24 inches
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be perpendicular, their slopes have to be negative reciprocals of each other. (flip the sign +/- and the fraction(switch the numerator and the denominator))
For example:
Slope = 2 or
Perpendicular line's slope = (flip the sign from + to -, and flip the fraction)
Slope =
Perpendicular line's slope = (flip the sign from - to +, and flip the fraction)
y = -2x + 4 The slope is -2, so the perpendicular line's slope is
Now that you know the slope, substitute/plug it into the equation:
y = mx + b
Since they gave you the point (0, 3), which is the y-intercept, you can just plug 3 into "b". Another way to find b is plugging in the point on the line (0, 3) into the equation, then isolate/get the variable "b" by itself
3 = b
<h3>
<u>Explanation</u><u>:</u></h3>
- <em>Here</em><em>,</em><em> </em><em>We</em><em> </em><em>are</em><em> </em><em>given</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>and</em><em> </em><em>we</em><em> </em><em>need</em><em> </em><em>to</em><em> </em><em>solve</em><em> </em><em>for</em><em> </em><em>x</em><em> </em><em>first</em><em> </em><em>of</em><em> </em><em>all</em><em> </em><em>and</em><em> </em><em>then</em><em> </em><em>put</em><em> </em><em>that</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>equation</em><em>.</em><em>.</em><em>.</em>
X²=64 ----- 1️⃣
2x-20 ----- 2️⃣
By equation 1️⃣ we have:
Substitute this value into equation 2️⃣: