Answer:
$12.31
Step-by-step explanation:
Think of the original rate of pay as being 100%.
If your rate is increasing by 7%, it will now be 107% of the original rate (since 100% + 7% = 107%)
To find 107% of $11.50, convert 107% into a decimal
⇒ 107% = 107/100 = 1.07
then multiply this by the original rate to get the new increased rate:
⇒ $11.50 × 1.07 = $12.305
Rounding this to the nearest hundred = $12.31
Alternatively, you can find 7% of $11.50 and then add this to $11.50.
⇒ 7% = 7/100 = 0.07
Therefore, 7% of $11.50 = 0.07 × $11.50 = $0.805
Add this to the original rate:
$11.50 + $0.805 = $12.305
Rounding this to the nearest hundred = $12.31
Answer:
x=-4
Step-by-step explanation:
Dividing both sides by -3, you get x+2=-2. So x=-4.
Answer:
Step-by-step explanation:
Given
Solving (a): 
We have:
Express f(x) as y
Swap x and y
Add 8 to 
Square both sides
Rewrite as:
Express y as:
To determine the domain, we have:
The original function is
The range of this is: 
The 
of the 
function is the 
of the 
function.
<em>Hence, the domain is:</em>
The horizontal stretch is the correct answer. A period is the distance on the x-axis that it takes for the tangent or cotangent function to repeat itself. Stretching it out horizontally will lengthen that distance and therefore change the period.
