Answer: Brian gets $39.2 more over Colin.
Step-by-step explanation:
Given: Total tip amount = £78.40
The ratio of the share of tips for Pawl, Colin and Bria is 2:1 :5.
Let tip amount for Pawl = 2x, tip amount for Colin = x , tip amount for Bria = 5x
Then, 2x+x+5x= 78.40
Tip for Colin = $ 9.8 , Tip for Bria = 5($9.8)= $49
Difference = $(49-9.8) = $ 39.2
Hence, Brian gets $39.2 more over Colin.
Answer:
$386794
Step-by-step explanation:
To be able to find how much we get in 5 years, we need to base it off the initial salary value.
So in the first year we get.
$70,000
To get how much we get in the 2nd year we add the extra 5%.
2nd year salary = (1.05)70000
2nd year salary = 73500
Now we continue to do that until the 5th year
3rd year = (1.05)73500
3rd year = 77175
4th year = (1.05) + 77175
4th year = 81033.75
5th year = (1.05) + 81033.75
5th year = 85085.44
Now we add them all up to get the total.
70000 + 73500 + 77175 + 81033.75 + 85085.44 = $386794.19 or $386794
Answer:
Step-by-step explanation:
<h3>Given</h3>
<u>Quadratic function </u>
with the roots:
<h3>To find </h3>
<h3>Solution</h3>
<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>
- (-5 + 9i) + (-5 - 9i) = -b/-1
- -10 = b
- b = -10
And
- (-5 + 9i)(-5 - 9i) = c/-1
- (-5)² - (9i)² = -c
- 25 - 81(-1) = -c
- - c = 25 + 81
- - c = 106
- c = -106
g(x) = -x² -10x - 106
It is certainly possible for a function decreasing over a certain interval to be negative, but no rule that says it must be. On the other hand, where the function is decreasing, the rate of change of the function must be negative.
Answer in image.
Knowledge point: Trigonometry - tangent concept
