Answer:
When it is reflected across y=-2, the new location will be at (-5,-4)
Step-by-step explanation:
y=-2 is a horizontal line. The points B(-5,0) is 2 units above that point. So, when reflected, it will move 4 units down, which gives you (-5,-4).
You have a function that for every well-behaved day adds $1. Let's call x the well-behaved days and y the amount of money in the fund. We can then make a table that looks like this:
X (well behaved days) , Y (money in fund)
0, 0
1, 1
2, 2
3, 3
4, 4
5, 5
If you take these as points: (0,0), (1,1), (2,2) , ... and plot them you get a line. The relationship is linear.
Another way you can tell is that y = x which is the equation of a line with slope = 1 and y-intercept 0 although for this case we only focus on x values that are 0 or greater because there would not be a negative number of well-behaved days.
A third way you can tell is that the money in the fund increases by the same amount (1) for each well-behaved day. That is, it's rate of change is constant (always 1) and so it is linear...it has a constant rate of change or a constant slope.
1/2 - 5/13 = 3/26 = 0.115
Because: 1/2 - 5/13 = 1 x 13 ÷ 2 x 13 - 5 x 2 ÷ 13 x 2 = 13/26 - 10/26
13/26 - 10/26 = 13 - 10 ÷26 = 3/26 or 0.115.
Hope helps-Aparri
Answer:
Ellen will pay $16.22 for the book.
Step-by-step explanation:
Part 1:
We know that the book Ellen wants to buy has a normal price of $18. However, there is a 15% discount. So, let's calculate 15% of $18.
18 x 0.15 = $2.70
This lets us know that there is a $2.70 discount.
Now, let's subtract the discount from the regular price.
18 - 2.70 = $15.30
So, now we know the discounted price is $15.30
Part 2:
We also know that Ellen has to pay 6% sales tax. The discounted price is 100% of the price, plus 6% is 106%. Let's calculate the tax to figure out the total amount.
15.30 x 1.06 = $16.22 when rounded to the nearest cent.
Therefore, Ellen will pay the total amount of $16.22.
Answer: 67
Step-by-step explanation:
Let x = number of passengers.
Case M: x< =75 (no refund)
Cost per passenger = $230
To generate the revenue, we should satisfy
230x =15990
x = 69.5
Set x = 67 in order to generate the revenue.
Case N: x>75
Cost per passenger minus refund = 230 - 5 = $225
Therefore
225x = 15990
x = 71.1
Because x<75, ignore this answer.
More than 75 passengers will generate more than $15990.