1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s
2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one.
C(101) = 101² - 10,000
C(101) = 201
C(100) = 100² - 10,000
C(100= 0
C(101) - C(100) = 201
Average rate of change in cost is 201 dollars/ unit between the two points.
Answer: You do not because the tv costs $464.
Step-by-step explanation:
First find out how much 20% of 580 is:
= 20% * 580
= $116
The television was therefore marked down by $116. The current selling price is:
= 580 - 116
= $464
<em>Since you came with $450, you will not be able to buy the television as you would be short of the $464 required. </em>
Answer:
50%
Step-by-step explanation:
