Answer:
$7.50
Step-by-step explanation:
<u>If she is not a member:</u>
to print 350 pictures, she will pay 0.2 * 350 = $70
<u>If she IS a member:</u>
to print 350 pictures, she will pay 0.15(350) + 10 = $62.5
THus, the amount she saves is 70 - 62.5 = $7.50
Answer:

Step-by-step explanation:
y=x^2-x+1
We want to solve for x.
I'm going to use completing the square.
Subtract 1 on both sides:
y-1=x^2-x
Add (-1/2)^2 on both sides:
y-1+(-1/2)^2=x^2-x+(-1/2)^2
This allows me to write the right hand side as a square.
y-1+1/4=(x-1/2)^2
y-3/4=(x-1/2)^2
Now remember we are solving for x so now we square root both sides:

The problem said the domain was 1/2 to infinity and the range was 3/4 to infinity.
This is only the right side of the parabola because of the domain restriction. We want x-1/2 to be positive.
That is we want:

Add 1/2 on both sides:

The last step is to switch x and y:



The surface area of a sphere is A = 4 π R² .
Sadly, the question doesn't give you 'R', so you have to
back it out of the circumference.
Circumference = π (diameter)
Divide each side by π : Diameter = circumference / π
Radius = 1/2 diameter: Radius = circumference / (2 π)
Area = 4 π R² =
4 π (circumference/2π)² =
4 π (circumference)² / 4 π²
Divide top and bottom by 4π : Area = (Circumference)² / π
Circumference = 37.68 units
Area = (37.68)² square units /π =
<em>451.93 square units</em>
To convert miles to feet you multiply by 5280
To convert hours to seconds you divide by 3600
so you multiply 64 by 5280/3600 which comes to 93.87 ft/s Answer