Answer:
Correct expression: 85 + 0.06(t - 400)
Correct earnings: $91
Step-by-step explanation:
The expression Joan wrote is incorrect because instead, $85, she put $400 as her base salary. The correct expression would be 85 + 0.06(t - 400), where 85 is her base pay in dollars, and t - 400 represents her sales in dollars exceeding $400.
If Joan's sales were $500, she would not make $424.90, but
85 + 0.06(t - 400)
85 + 0.06(500 - 400)
85 + 0.06(100)
85 + 6
$91
Hope this helps.
Cheers,
Andy
Answer: 120
Step-by-step explanation:
From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.
The number of different ways that the club members can structure the committee goes thus:
This can be solved by:
nCr = n! / r! (n - r)!
where n = 10
r = 3
= n! / r! (n - r)!
= 10! / 3! (10 - 3)!
= (10 × 9 × 8) / (3 × 2)
=120
Answer:
31.5 units^2
Step-by-step explanation:
Rectangle area (RA) = l × w
Triangle area (TA) = (bh)/2
RA = 3 × 7
RA = 21
TA = (7 × 3)/2
TA = 21/2
TA = 10.5
(Triangles are congruent as shown by the lines on each side of the triangle so I can calculate area of both of them together as I just did)
Add areas together
21 + 10.5 = 31.5
Answer:
w^8 - 4w^7 + 6w^6 - 4w^5 + w^4 .
Step-by-step explanation:
(w - w^2)^4
= w^4 ( 1 - w)^4
By the binomial theorem:
= w^4( 1 - 4w + 6w^2 - 4w^3 + w^4)
= w^4 - 4w^5 + 6w^6 - 4w^7 + w^8
= w^8 - 4w^7 + 6w^6 - 4w^5 + w^4 ( Standard form).
