Yep, the answer is definitely 13
In a parallelogram, the opposite angles are equal and the sum of the angles is 360 degrees.
W = Z and Y = X
3y = 3x
Y = X = y
3y + y + 3x + x = 360
3x + x + 3x + x = 360
8x = 360
x = 360/8 = 45
Therefore, x = 45; y = 45
Ax^2+bx=c
REMEMBER THIS
ok
first, make sure that a is 1
done
now take 1/2 of b and square it
-18/2=-9, (-9)^2=81
add that to both sides
x²-18x+81=19+81
x²-18x+81=99
factor perfect square
(x-9)²=100
square root both sides
don't forget positive and negative root
x-9=10
x-9=-10
ad 9 to both sides
x=19
x=-1
answer is -1; 19
2nd choice is answer
Before you start working on this problem, make sure you know
how to use a couple of the tools in your toolbox:
Tool #1: 37-1/2 percent means 0.375
Tool #2: In math problems, "of" almost always means "times".
====================================
Your question says
"37-1/2 percent of blank is 36".
Translate it with your tools:
0.375 times blank = 36 .
Divide each side by 0.375: Blank = 36 / 0.375 .
Now grab your pencil or your calculator, and find the value of that
fraction (do the division). Blank is equal to the value of the fraction.
To check your answer (find out whether it's correct):
Do exactly what the question says.
Multiply (0.375) times (your answer). If you get 36,
then your answer is correct. If not, it's not.
The problem is an arithmetic sequence with:
a₁ = 206,300
an = 208,400
n = 2013 - 2000
n = 13
To find the annual increase, use this following formula
an = a₁ + d(n - 1)
d represents the annual increase
Input the numbers
an = a₁ + d(n - 1)
289,400 = 206,300 + d(13 - 1)
289,400 = 206,300 + 12d
289,400 - 206,300 = 13d
83,100 = 12d
12d = 83,100
d = 83,100/12
d = 6,925
The annual increase is $6925
