Answer:
<u>9 mph</u>
Step-by-step explanation:
Calvin's first leg of the trip took 0.5 hr (30 minutes) at 6 mph. That means he travelled (0.5hr x 6 mph =) 3 miles. He travelled 3 miles on the return trip, by definition (same path home). At 18 mph, 3 miles would take (3 miles/18 mph =) 0.1667 hours. That makes a total of 6 miles and (0.5 + 0.1667=) 0.6667 hours.
(6 miles)/(0.6667 hours) = 9 mph is Calvin's average speed for the round trip.
Answer:
x = 1
Explanation:

Rule: log(a) + log(b) = log(ab)

cancel out log on both sides

relocate constant variable

take 3 as a common factor

divide both sides by 3

middle term split

factor common terms

collect into groups

set to zero

relocate variables

There must be a positive solution for log, so the solution is only x = 1
Answer:
A) 10
Step-by-step explanation:
In the US, a number in scientific notation will have a mantissa (a) such that ...
1 ≤ a < 10
That is, the value of "a" must be between 1 and 10 (not including 10).
_____
<em>Comment on alternatives</em>
In other places or in particular applications (some computer programming languages), the standard form of the number may be a×10^n with ...
0.1 ≤ a < 1
In engineering use, the form of the number is often chosen so that "n" is a multiple of 3, and "a" is in the range ...
1 ≤ a < 1000
This makes it easier to identify and use the appropriate standard SI prefix: nano-, micro-, milli-, kilo-, mega-, giga-, and so on.
Answer:
$32,335.38
Step-by-step explanation:
You are going to want to use the compound interest formula, which is shown below.

<em>P = initial balance
</em>
<em>r = interest rate
</em>
<em>n = number of times compounded annually
</em>
<em>t = time</em>
<em />
Now lets plug in the values into the equation:
= 32,335.38
Your answer is $32,335.38