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1)What is the square root of negative one?
2)On the first year a company started the company made $100,000,000.00. This company's yearly profit increases with the same percentage. In two years the company has $121,000,000. What is the percentage of the increase in the company's yearly profit each year?

2006-07-11 00:46:10 · 10 answers · asked by Anonymous in Science & Mathematics Mathematics

Neuton Einstein, you have definately coppied someone. No best answer for you.

2006-07-11 01:15:17 · update #1

Show how you got your answer.

2006-07-11 01:16:51 · update #2

10 answers

1. SQRT(-1) is given the symbol i by mathematicians. It is "j" by electrical engineers to avoid confusion with i (the symbol for current) as in the equation v=i*r which means voltage (in volts) equals current (in amperes or amps) times resistance (in ohms).

2. F = P(1+i)^n
F is future worth, P is present worth, i is the interest rate, n is the number of years.

so
121,000,000=100,000,000(1+i)^2
1.21=(1+i)^2
1.1=1+i
thus i=0.1 or 10%

2006-07-11 07:33:10 · answer #1 · answered by Manish J 3 · 2 0

1) i, the imaginary number, by definition (no work needed)

2) I'm not positive about what you mean exactly, but I'll assume what's most likely, that the company made $100M in Year 1, made $121M in Year 3, and you need to find out what the yearly increase in profit (percentage-wise) is. First it's helpful to find out what the amount in Year 3 is as a percentage of the Year 1 profit... 121M/100M = 121%. Then you can just take the square root of 121% to get the amount is in Year 2 as a percent of Year 1(because the inverse of a square root is squaring a number, which you would do to go from one year to two). The square root of 121% is 110%. Hence, the company made 110% time 100M in year 2, or 110M. You can also verify that 121M (Year 3 profit) is 110% of 110M (Year 2 profit). Hence, the rate of increase is 110% - 100% = 10%.

2006-07-11 08:33:50 · answer #2 · answered by Kyrix 6 · 0 0

1) square of -1 can be taken as i (imaginary component of a complex value) ... as i^2 =-1
2) 10%.

2006-07-11 07:55:50 · answer #3 · answered by budweiser 2 · 0 0

1) i or j whichever you prefer sqrt(-1) is not found on the number line or in the set of real numbers but its in the imaginary numbers.

2) 121,000,000-100,000,000=21,000,000 in 2 years

10,500,000 in a year 10,500,000/100,000,000 = 105/1000 = 10.5% annually or each year

2006-07-11 08:17:49 · answer #4 · answered by Croasis 3 · 0 0

(1). i
(2). 10%

2006-07-12 00:21:48 · answer #5 · answered by Eric X 5 · 0 0

1.Square root of -1 is i.
2.11% profit,

2006-07-11 07:51:33 · answer #6 · answered by Nowayjose 3 · 0 0

1) i
2) 11%

2006-07-11 07:57:43 · answer #7 · answered by Cleristo-Kenjitsu 1 · 0 0

1) i
2) 11%

2006-07-11 07:50:36 · answer #8 · answered by Anonymous · 0 0

1) i
2) 10%

I think the second one is worded very badly........

2006-07-11 07:54:33 · answer #9 · answered by A Drunken Man 2 · 0 0

Shouldn't this question be under trivia?

2006-07-11 07:49:39 · answer #10 · answered by Mr. Peachy® 7 · 0 0

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