Answer:
Let x = the charge in 1st city before taxes
Let y = the charge in 2nd city before taxes
Set up equation before taxes.
y = x - 1500 eq1
Set up equation for total tax paid.
0.065x + 0.06y = 378.75 eq2
Substitute eq1 into eq2.
0.065x + 0.06(x - 1500) = 378.75
0.065x + 0.06x - 90 = 378.75
0.125x - 90 = 378.75
0.125x = 468.75
x = 3750
Substitute this value of x into eq1.
y = 3750 - 1500
y = 2250
The hotel charge in city one is $3750 and the hotel charge in city two is $2250
The slope is -4/1. Hope this helps
Answer:
The correct answer is C
Step-by-step explanation:
In order to find the y-intercept, you need to first solve the inequality for y.
5x - 3y ≤ 15
-3y ≤ -5x + 15
y ≥ 5/3x - 5
Now we look at the constant at the end. Since that constant is -5, we know C to be the answer.
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The amount charge per year is 
The number of members it will have at this amount is 
The amount amount increase that will lead to the loss of a single member is 
Generally the total amount the club would obtain from its members is mathematically represented as

Now let x denote the number of member lost
Hence

=> 
=> 
Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero

=> 
So from
we have


So the amount the club should charge is


Answer:
9 combinations are in the sample space
Step-by-step explanation:
Well there's 3 sizes 4 flavors and with or without nuts
3(Sizes)+ 4(flavors)+ 2(with or without)
Therefor when you add those up you get 9 things people can choose from, known as the sample space.