Answer:
Speed of Chris Huber = 30.726 m/s
Time taken by Sam = 5.55 s
Step-by-step explanation:
Given:
Distance = 200 m
Time taken by Chris Huber = 6.509 s
Now,
Speed of Chris Huber = 
or
Speed of Chris Huber = 
or
Speed of Chris Huber = 30.726 m/s
Speed of Sam = Speed of Chris Huber + 19.0 km/h
Now,
1 km/hr = 0.277778 m/s
thus,
19.0 km/h = 19.0 × 0.27 = 5.278 m/s
thus,
Speed of Sam = 30.726 + 5.278 = 36.004 m/s
therefore,
Time taken by Sam = 
or
Time taken by Sam =
= 5.55 s
Answer:
$10,253.04
Step-by-step explanation:
You are going to want to use the continuous compound interest formula, which is shown below.

<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First, change 9% into a decimal:
9% ->
-> 0.09
Next, plug the values into the equation:


The account will have $10,253.04
Step 1: Group this into two groups:

When you do that, be sure to group the "–" into the group with the 9 and make sure there's "+" between the groups.
Step 2: Factor out the GCF from both individual groups:

Step 3: Notice both groups have that (h+2)? That's a new GCF between the two groups, so factor that out:

Step 4: That
piece can be factored further, since it's a difference of squares:

Now it's factored.