We have a point board that we use to rank people. Our points are based on the number of participants. 1st gets points equal to the number of entrants. 2nd gets 97% of first. 3rd gets 97% of 2nd place points and so on and so forth. So for example, if there are 1000 entrants, 1st gets 1000 points. 2nd would then get 97%of 1000 which is 970. 3rd gets 97%of 970....etc. Is there a simple formula we can use for this equation. That way when we have a person that placed 45 out of 1205, he/she can figure it out easy?
2007-05-18 09:50:10 · 7 answers · asked by amberturner1 1 in Science & Mathematics ➔ Mathematics
you can do a summation where you have n=(insert first number here) to n=(insert last number here) then (number of points)(.97)^(n) where n is the place of the person. I hope that helps. Use basic summations
2007-05-18 09:54:13 · answer #1 · answered by mastap425 3 · 0⤊ 0⤋
the formula will be 1000 x (.97)^(p-1).
where p stands for person suppose it is p = 3 means third person.and ^ stands forexponent
1000 x (.97)^(3-1)
1000 x(.97)^2
1000 x.97 x.97
=940.4. This is for 1000 entrants. if there are 1205 entrant. then it would be 1205 (.97)^(45-1)
1205 (.97)^44
Hope it's help!!!
2007-05-18 16:59:01 · answer #2 · answered by bob 2 · 0⤊ 0⤋
Just take the number of participants and multiply this with 0.97 raised to the power of the place of finish minus 1. For example when there are 1000 entrants and someone finishes 5th you multiply 1000 with 0.97 raised to the power of 5 minus 1, so 4. Thus you have 1000 times (0.97)^4. Which is 885.29 points in this case. I have rounded this answer to two decimal places.
2007-05-18 17:23:34 · answer #3 · answered by Patrick L 1 · 0⤊ 0⤋
the points form a G.Pwith first term=number of candidates&common ratio=0.97
when we have a personthat is placed 45th out of 1205,then his number of points=1205(.97)^44. answer
If a person has nth position out of a total ofN, then his number of points=N(0.97)^n-1
2007-05-18 16:57:35 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Do this in sales to figure out what % you made your sales by.
45/1205=.037 OR 3.7% Divide the smaller # by the larger then move the decimal.
2007-05-18 16:59:49 · answer #5 · answered by Barbie 3 · 0⤊ 1⤋
number of entrants is E, place is N. Points will be
P = E(0.97)^(N-1)
2007-05-18 16:55:18 · answer #6 · answered by Philo 7 · 0⤊ 1⤋
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2007-05-18 17:41:10 · answer #7 · answered by Sanjay C 1 · 0⤊ 1⤋