Answer:
Present value = $4,122.4
Accumulated amount = $4,742
Step-by-step explanation:
Data provided in the question:
Amount at the Start of money flow = $1,000
Increase in amount is exponentially at the rate of 5% per year
Time = 4 years
Interest rate = 3.5% compounded continuously
Now,
Accumulated Value of the money flow = 
The present value of the money flow = 
= 
= ![1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4](https://tex.z-dn.net/?f=1000%5Cleft%20%5B%5Cfrac%7Be%5E%7B0.015t%7D%7D%7B0.015%7D%20%5Cright%20%5D_0%5E4)
= ![1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]](https://tex.z-dn.net/?f=1000%5Ctimes%5Cleft%20%5B%5Cfrac%7Be%5E%7B0.015%284%29%7D%7D%7B0.015%7D%20-%5Cfrac%7Be%5E%7B0.015%280%29%7D%7D%7B0.015%7D%20%5Cright%5D)
= 1000 × [70.7891 - 66.6667]
= $4,122.4
Accumulated interest = 
= 
= $4,742
<span>Quartiles are generally more reliable for judging outliers than mean and standard deviations for 2 reasons. The mean is simply the average of all of the numbers, meaning that an outlier can easily be obscured by the masses. Standard deviation is a better method, however only going over by one standard deviation in either direction would also mask an outlier. A strong outlier however will pull a quartile farther in that direction than would normally be expected.</span>
Answer:
5040
Step-by-step explanation:
7!
= 1 × 2 × 3 × 4 × 5 × 6 × 7
= 5040
Answer:
In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?
Step-by-step explanation:
You just need to get a situation where there would be negative increase. My example was temperature, but other easy examples could be money (debt, etc) or sea level.
If Reducing 2 men will bbe enough too finish the work in 10 days
For rate of work use the formualar
rate of work = quantity of work / duration
10 men can do the work at a rate of = 1 / 8
x men can do same work at a rate of = 1 / 10
x * ( 1 / 8 ) = 10 * ( 1 / 10 )
x = 1 * 8 = 8
therefore 8 men can do the work in 10 days
number of men reduced = 10 men - 8 men = 2 men
Hope it helped