Answer: 56.4102564% decrease
Explanation: First determine whether the number is increasing or decreasing. Since it changes from 39 to 17, it's going down so it's decreasing.
Now to find the percent decrease,
we divide the amount of change by the original number.
The amount of change is the difference between the two numbers
which in this case is 39 - 17 and the original number is 39.
39 - 17 is 22 so we're left with 
which gives us 56.4102564
Remember however that our problem is asking for a <em>percent</em>, not a decimal. So we need to write 56.4102564 as a percent by moving the decimal point 2 places to the right to get 56.4102564.
So when a number changes from 39 to 17, it has decreased by 56.4102564%.
Answer:
Step-by-step explanation:
Cosine is the adjacent side over the hypotenuse (You can remember sin, cos, and tan by using sohcahtoa or sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite over adjacent). I think a picture would help, too.
I attached a picture of what I think the triangle would look like.
If the picture is right (we're assuming it is) and going with what we're given (the triangle was addressed as triangle XYZ, meaning that <u>angle Y is in the middle and that's the one we'll use</u>).
Looking at my picture then:
.
Answer:
8763
Step-by-step explanation:
Let x represent the number of students the college had last year. Then this year's enrollment is ...
... x - 3%·x = 8500
... x(1 - 0.03) = 8500 . . . . . collect terms
... x = 8500/0.97 ≈ 8762.89 . . . . divide by the coefficient of x
Enrollment last year was about 8763.
_____
Of course, you know 3% = 3/100 = 0.03.
This is true. you don't need to provide a counterexample
(m+2)(m+3)= (m+2)(m-2)
⇒ m^2+ 3m+ 2m+ 6= m^2 -4
⇒ 5m+ 6= -4 (m^2 on both sides cancels out)
⇒ 5m= -4-6
⇒ 5m= -10
⇒ m= -10/5
⇒ m= -2
The final answer is m=-2~
