Hello,
-2x+2y=8==>y=x+4(1)
The perdicular passing trought (4,-2) is
y+2=-1(x-4)==>y=-x+2(2)
The intersection is
(1)-(2)==>2x+2=0==>x=-1 and y=-1+4=3
Q=(-1,3)
P=(4,-2)
Distance PQ= √(( -1-4)²+(3+2)²)=√50=7,0710678...
Answer:
$492.50
Step-by-step explanation:
To start off, we already know that Vanessa makes at least $400 every week. What we don't know is how much Vanessa makes from her 5% commission on what she sells.
To solve for that, we need to find what 5% of $1,850 is. This can be done by multiplying $1,850 by 5%. Remember, we need to change 5% into its decimal form (5% ->
-> 0.05).
$1,850 x 0.05 = $92.5
This means that Vanessa made $92.5 off of commissions last week. The last step is to add her base salary of $400 to her commission sales and we get our final answer.
$400 + $92.5 = $492.50
Vanessa's total pay last week was $492.50
Answer:
He still owes $105
Step-by-step explanation:
First, we have to find how much money Marco had paid back.
We are going to find the percentage of the number:

Then, doing a simple mathematical subtraction we can find how much money he still owes to his brother:

455, 456, 457, 458, 459, 460, 461, 462, 463,464
The unit rate is 13 hours 20 minutes per customer.