Answer:
p: (-4)2 > 0
q: An isosceles triangle has two congruent sides.
r: Two angles, whose measure have a sum of 90, are supplements.
Step-by-step explanation:
p: (-4)2 > 0
q: An isosceles triangle has two congruent sides.
r: Two angles, whose measure have a sum of 90, are supplements.
Answer:
Yes; $23.10
Step-by-step explanation:
5% of 22 is 1.10 and if you add the tax to the give price it is less than $24
Answer:
Step-by-step explanation:
This is permutation, since order matters. The formula for us is
₁₈P₅ = 
which simplifies to
₁₈P₅ = 
The factorial of 13 cancels out on the top and bottom leaving you with
₁₈P₅ = 18 × 17 × 16 × 15 × 14
which comes to 1,028,160 ways
Another way to look at it is: the first 5 people of 18 finish and the others you don't care about. Once the first place person is first, there are only 4 of the 18 left to finish in second place. Then there are only 3 left to finish in third place, etc. So if we use that reasoning, we don't even need to use the formula, we can just say
18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.
Answer:
Step-by-step explanation:
first, we find the slope
slope = (y2 - y1) / (x2 - x1)
(-3,7)....x1 = -3 and y1 = 7
(9,-1)...x2 = 9 and y2 = -1
now we sub
slope(m) = (-1 - 7) / (9 - (-3) = -8 / (9 + 3) = -8 / 12 reduces to - 2/3
y = mx + b
slope(m) = -2/3
use either of ur points...I will use (-3,7)...x = -3 and y = 7
now we sub and find b, the y intercept
7 = -2/3(-3) + b
7 = 2 + b
7 - 2 = b
5 = b
so ur equation is : y = -2/3x + 5 <===
Answer:
£24,980
Step-by-step explanation:
total pay = monthly salary + percent of annual profit + £250 bonus
monthly salary = £1,850
annual salary = 12 × £1,850 = £22,200
agency income = £356,000
agency costs = £280,000
annual profit = income - costs = £356,000 - £280,000 = £76,000
percent of annual profit = 3% × £76,000 = 0.03 × £76,000 = £2,280
£250 bonus = 2 × £250 = £500
total pay = monthly salary + percent of annual profit + £250 bonus
total pay = £22,200 + £2,280 + £500
total pay = £24,980
