Answer:
She is going at the rate of 4.5 feet per second.
Step-by-step explanation:
Given:
The rate of walking is 90 yards per minute.
Now, to find the rate in feet per second.
1 yard = 3 foot.
1 minute = 60 seconds.
So, first we find the rate of walking per second in yard = 
Therefore by dividing we get =
Now, we find the rate of walking per second in feet = 
So, by multiplying we get = 
Therefore, she is going at the rate of 4.5 feet per second.
Answer:
Step-by-step explanation:
Given: 39 = 0.01n
Move the decimal point on each side two places to the right: 3900 = n
Answer:
40 copies for $3000
Step-by-step explanation:
First: The Equation
y=(20+x)(100-x)
This shows how for every new painting, the price will go down.
y=2000+80x-x²
Convert it to standard form: ax²+bx+c
You can now choose to graph it or find the vertex form. For the limit of time, I will just use a graph.
The vertex, (40,3000), is your answer, where the x value is the number of paintings and the y value the money made.
As from the question,
x = 60°
πd = 12π
Using the Arc Length formula,
x/360° × πd
= 60°/360° × 12π
= 2π
Ans: B