Answer:
The solution is:
Step-by-step explanation:
The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So
To find x, we have to apply log to both sides of the equality.
We also have that:
So
Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.
Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240
Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160
Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52
Answer:
You would have to subtract 7/10
Step-by-step explanation:
87/10 - 7/10 would equal 8
Answer:
same here
Step-by-step explanation:
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Well, here is how i would do it.
We start with 225, at a rate of 15% per year. Assuming your answers are in years and not months, we will increase by this increment; years.
So, we start with 225, and a 15%, or .15, increase. So what we would do, it take 225 times .15. One way ive learned to do this (via algebra class) is that you can times it by 1.15 to make it quicker, this just takes out the adding step.
So after one year, we would have a total of 258.75, or about 259 wolves.
after two years, we would have about 298 (we cant have a half of a wolf!)
after 3 years, we would have about 343 wolves.
after 4 years, we would have about 394 ish
after 5 years, we would have about 453
after 6 years, we would have about 521.
So, it would take about 5 and a half years, if thats an option choice.