Answer:
49 teachers
Step-by-step explanation:
By proportion, the number of teachers needed is found as follows:
6/102 = x/825 where x is the required number of teachers.
102x = 6*825
x = (6*825)/102
= 48.5
Answer:
7
Step-by-step explanation:
If two angles are supplementary, then they add up to 180.
Angle 1 = twenty less than four times the other angle
Angle 2 = the other angle
Angle 2 = 1x
Angle 1 = 4x - 20
Next, we can add up angles 1 and 2 and set the sum equal to 180.
x + 4x - 20 = 180
5x - 20 = 180
5x = 200
x = 40
Now that we know x, we can find the values of our angles.
Angle 1 = 4(40) - 20 = 160 - 20 = 140 degrees
Angle 2 = 40 degrees
Hope this helps!! :)
For the function f ( x ) = x² we have the new function f 1 ( x ) = 1/2 x².f ( x ) = a · x²- If |a| < 1 the graph is compressed vertically by a factor of a.- If |a| > 1 the graph is stretched vertically by a factor of a.Here: a = 1/2 < 1
Answer:C. The graph will be compressed vertically.
Answer: $ 123,859.75
Step-by-step explanation:
you will want an initial investment of $ 14,000.00
to attain a future value of $ 123,859.75
at an interest rate of 5%
with monthly contributions of $ 500.00
for an investment period of 12 years