Answer:
63%
Step-by-step explanation:
<em>From the question, we aim to find the percent increase in the tuition</em>
Given data
initial cost= $99 per credit hour
Final cost= $268 per credit hour
% increase= (Final - initial )/initial *100
substitute
% increase= (268- 99 )/268 *100
% increase= 169 /268 *100
% increase= 0.630*100
% increase= 63%
Hence the increase in the tuition from 1990 to 2003 is 63%
Answer:
10
Step-by-step explanation:
(x + 2) + (-2 + x) = 20
2x + 0 = 20
2x = 20
x = 20/2
x = 10
Multiply both sides by three to get 2x=30
Then divide both sides by 2 to get x=15
Here is an example of how to do this.. sense $4 x 6 just continue the graph i have already started
Function 1:
f(x) = -x² + 8(x-15)f(x) = -x² <span>+ 8x - 120
Function 2:
</span>f(x) = -x² + 4x+1
Taking derivative will find the highest point of the parabola, since the slope of the parabola at its maximum is 0, and the derivative will allow us to find that.
Function 1 derivative: -2x + 8 ⇒ -2x + 8 = 0 ⇒ - 2x = -8 ⇒ x = -8/-2 = 4
Function 2 derivative: -2x+4 ⇒ -2x + 4 = 0 ⇒ -2x = -4 ⇒ x = -4/-2 ⇒ x= 2
Function 1: f(x) = -x² <span>+ 8x - 120 ; x = 4
f(4) = -4</span>² + 8(4) - 120 = 16 + 32 - 120 = -72
<span>
Function 2: </span>f(x) = -x²<span> + 4x+1 ; x = 2
</span>f(2) = -2² + 4(2) + 1 = 4 + 8 + 1 = 13
Function 2 has the larger maximum.
