Answer:
Step-by-step explanations:
Answer:
Option 3.
Step-by-step explanation:
In this question we have to draw a graph f(x) = |-x+8|
Its a modified form of a graph f(x) = |-x| which starts from origin, having two perpendicular lines in quadrant 1 and 2.
Then f(x) = |-x| is shifted 8 units right on the x-a xis. therefore the modified form becomes f(x) = |-x+8| as shown in the option number 3.
Option 3 is the correct answer.
4 for the first one and 1.5 for the second one
Answer:
Jenkins: 25 hours Alexanders: 20 hours
Step-by-step explanation:
To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.
We can make a represent hours because we know the rate of sprinkler's output is per hour.
25a+40b=1425
a+b=45
Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.
a+b=45
a=45-b
Now we can plug this in for a in the other equation.
25a+40b=1425
25(45-b)+40b=1425
Distribute 25 into the parenthesis.
1125-25b+40b=1425
1125+15b=1425
15b=300
b=20
Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.
a+b=45
a+20=45
a=25
The Jenkins used the sprinklers for 25 hours, and the Alexanders used them for 20 hours.
Answer:
1) $101,400
2) $27,000
Step-by-step explanation:
1) For this, we can first find how much she makes in a year from her salary alone:
$2,200×12= $26400.
Now, she also received a commission of 2.5%, so we can take this percentage from 3 million to find the total from commission:
3,000,000×0.025= $75,000
Adding these two gives us a total of $101400.
2) We can use the Simple Interest Formula to solve this (I= Prt). Plug in the values given to give us:
I= 5000(1.08)(5)
I= $27000
