Your paycheck is now $75,000. If it decreased by 25%, how much was your paycheck last year? * average fine for entering a National Forest Wilderness without a permit increased from$65 to $78. What rate of increase is this? *

On the first situation the previous salary was $100,000 and on the second one the raise was 20%.

Step-by-step explanation:

On the first situation there was a decrease of 25% from the previous value, this mean that the present value is 100 - 25 = 75 % from what it was before. In order to calculate the previous value we can apply a rule of three as follows:

x -> 100%

75,000 -> 75%

x*75 = 75,000*100

x*75 = 7,500,000

x = 7,500,000/75 = 100,000

On the second situation there was an absolute increase of 78 - 65 = 13, this value represents the rate we want to know. In order to find the rate we can apply a rule of three as follows:

65 -> 100 %

13 -> x

1300 = 65*x

65*x = 1300

x = 1300/65 = 20 %

On the first situation the previous salary was $100,000 and on the second one the raise was 20%.

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.