Answer:
$48,300
100 + 38% = 138% or 1.38
$48,300 / 1.38 = $35,000
Check:
$35,000 * 1.38 = $48,300
$35,000 * .38 = $13,300 (raise) + salary $35,000 = $48,300
Step-by-step explanation:
Answer:
Varying
Step-by-step explanation:
The reason why the rate of change is varying is because the dots on the graph do not connect to make a straight line when you draw a line through the dots. When the dots connect via a straight line, it is also known as a proportional relation. A straight line would be a constant change.
Answer:
-4
Step-by-step explanation:
Rewrite 16 as 4 squared
Pull terms out from under the radical, assuming positive real numbers
-1 x 4
Then you get the answer -4
<span>We can safely assume that 1212 is a misprint and the number of seats in a row exceeds the number of rows by 12.
Let r = # of rows and s = # of seats in a row.
Then, the total # of seats is T = r x s = r x ( r + 12), since s is 12 more than the # of rows.
Then
r x (r + 12) = 1564
or
r**2 + 12*r - 1564 = 0, which is a quadratic equation.
The general solution of a quadratic equation is:
x = (-b +or- square-root( b**2 - 4ac))/2a
In our case, a = 1, b = +12 and c = -1564, so
x = (-12 +or- square-root( 12*12 - 4*1*(-1564) ) ) / 2*1
= (-12 +or- square-root( 144 + 6256 ) ) / 2
= (-12 +or- square-root( 6400 ) ) / 2
= (-12 +or- 80) / 2
= 34 or - 46
We ignore -46 since negative rows are not possible, and have:
rows = 34
and
seats per row = 34 + 12 = 46
as a check 34 x 46 = 1564 = total seats</span>
(5 | -2) should be the solution of the equations
So it workt for c)
c)
3*(5) - 5*(-2) = 25
(5) + 5*(-2) = -5