Answer:
240 minutes or 4 hours
Step-by-step explanation:
So if it takes Erica 80 minutes to analyze the company's monthly credit card statements, she will get 30/80 of it done in 30 minutes.
If it takes Alexa 2 hours to analyze the company's monthly credit card statements, she will get 30/120 of it done in 30 minutes.
Add 15 to each of the fractions because they analyze the company's monthly credit card statements with Mack for 15 more minutes.
So you have 45/80 and 45/120.
Now add both fractions by finding the lowest common denominator which is 240.
135/240 + 90/240 = 225/240
So Mack did the remaining 15/240.
Now to find how long it would take him to analyze the company's monthly credit card statements by himself divide 240 by 15 which is 16.
Then multiply
15 x 16 = 240
so it would take him 240 minutes or 2 hours.
Answer:
HL
Step-by-step explanation:
It's a right triangle.
Answer:
see explanation
Step-by-step explanation:
Calculate the slopes between pairs of the 3 points using the slope formula
m = 
with (x₁, y₁ ) = (- 9, 3) and (x₂, y₂ ) = (- 3, 9)
m =
=
=
= 1
Repeat with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (- 3, 9)
m =
=
= - 1
If lines are perpendicular then the product of their slopes = - 1 , then
1 × - 1 = -1
Thus there is a right angle between the 2 lines
Then triangle is right- angled
First let's calculate the profit in the deal, subtracting the market value and the selling value:

So the profit is $55,000.
Now, calculating the fee of 10% of the profit, we have:

So the fee is $5,500, therefore the correct option is the fourth one.