Define the two friends as person A and person B.
Let x = the sales in a week.
Person A:
$125 per week plus 18% commission on sales.
Earnings in a week on x sales is
125 + 0.18x
Person B:
$85 per week plus 21% commission on sales.
Earnings in a week on x sales is
85 + 0.21x
For the two earnings to be equal,
85 + 0.21x = 125 + 0.18x
0.03x = 40
x = 40/0.03 = $1333.33
Answer: $1,333.33
Answer:
36/49
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, in order to divide something by a fraction, you need to multiply by the reciprocal {after simplifying}.
14/12=7/6
The reciprocal of 7/6=6/7
6/7*6/7=36/49
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Answer:
(B) π/12 + π/6 k
Step-by-step explanation:
Points of inflection are where f"(x) = 0 and changes signs.
f(x) = cos²(3x)
f(x) = (cos(3x))²
f'(x) = 2 (cos(3x))¹ × -sin(3x) × 3
f'(x) = -6 sin(3x) cos(3x)
Using double angle formula:
f'(x) = -3 sin(6x)
f"(x) = -3 cos(6x) × 6
f"(x) = -18 cos(6x)
0 = -18 cos(6x)
0 = cos(6x)
6x = π/2 + 2πk or 6x = 3π/2 + 2πk
We can simplify this to:
6x = π/2 + πk
x = π/12 + π/6 k
Answer:
Step-by-step explanation:
Sum of all angles of a triangle = 180
x + 64 + x + 45 + 79 = 180
Combine like terms.
2x + 188 = 180
2x = 180 - 188
2x = - 8
x = -8/2
x = -4
x + 64 = -4 + 64 = 60
x + 45 = -4 + 45 = 41
