Answer:
2 ½ miles
Explanation:
mph = miles per hour, which means that if robert had run for the full 1 hour, he would have run 3 ⅓ miles.
however, since he only ran for ¾ of an hour, which is equal to 0.75, we can multiply the 3 ⅓ miles by 0.75 to get 2.5 or 2 ½ miles.
i hope this helps! :D
Answer:
the cash flow from operation is $267,397
Step-by-step explanation:
Given that
Revenues be $876,223
General and admin expense $352,479
Depreciation expense $131,455
Leasing expense $108,195
Interest expense $78,122
Tax rate is 34%
We need to find out the cash flow from operation
As we know that
Cash flow from operation = (Revenue - general & admin expense - depreciation - leasing - interest) × (1 - tax rate) + depreciation
= ($876,223 - $352,479 - $131,455 - $108,195 - $78,122) × (1 - 0.34) + $131,455
= $205,972 × (1 - 0.34) + $131,455
= $267,397
Hence, the cash flow from operation is $267,397
Answer:
Project A :
NPV : $703,888.64
IRR : 44.882%
Project B:
NPV : $5,241.26
IRR : 49.662%
Project B is more profitable
Step-by-step explanation:
The NPV gives the difference between the present value of cash inflow and cash outflow over a certain period of time.
The Internal rate of return is the discount rate which makes the NPV of an investment 0. It is used to estimate the potential return on an investment. Investments with higher IRR are said to be better than those with lower IRR value.
Using the net present value, (NPV) Calculator, the NPV for project A is : $703,888.64
The IRR of project A is : 44.882%
The NPV for Project B is : $5,241.26
The Internal rate of return (IRR) : 49.662%
From the Internal rate of return value obtained, we can conclude that, project B is more profitable as it has a higher IRR than project A.
Answer:
if repetition is allowed, 
if repetition is not allowed.
Step-by-step explanation:
For the first case, we have a choice of 26 letters <em>each step of the way. </em>For each of the 26 letters we can pick for the first slot, we can pick 26 for the second, and for each of <em>those</em> 26, we can pick between 26 again for our third slot, and well, you get the idea. Each step, we're multiplying the number of possible passwords by 26, so for a four-letter password, that comes out to 26 × 26 × 26 × 26 = possible passwords.
If repetition is <em>not </em>allowed, we're slowly going to deplete our supply of letters. We still get 26 to choose from for the first letter, but once we've picked it, we only have 25 for the second. Once we pick the second, we only have 24 for the third, and so on for the fourth. This gives us instead a pretty generous choice of 26 × 25 × 24 × 23 passwords.
