Answer:
The bike will cost $481.50
because
10% off of 500 is 50
so 500 - 50 = 450
Now include the sales tax which is
450 * 0.07 = 31.5
Now add the two totals to get
$481.50
divide total miles by time:
157.5 / 2.5 = 63 miles per hour
The first thing we are going to assume for this case is that the tree and the post are located in the same place.
From that place, both cast a shadow in the same direction.
We then have two similar triangles.
Therefore, we have the following relationship:

From here, we clear the value of x.
We have then:

Rewriting:
Answer:
the tree is 30 feet tall
Given

To find the derivative of the give function,we apply below exponent rule first:

So,
Next, we apply the chain rule:
So,
We substitute back u=(5x-6):
Simplify:
Therefore, the answer is: