Consumer math help please:
You invest $1,050.00, buying stock in a company at $10.00/share. The shares increase in value by 13% the first year and decrease 5% the second year. How much is the total value of your stocks in the second year?
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OpenStudy (anonymous):
$1127.175
OpenStudy (angelwings996):
AlI I know to do is $1,050.00 divided by $10.00 which is 105
OpenStudy (anonymous):
@ayesdeeef is corret i got the same thing
OpenStudy (anonymous):
105 shares * 10.74 = 1,127.70
OpenStudy (anonymous):
Your welcome, don't forget to give a medal.
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jimthompson5910 (jim_thompson5910):
"The shares increase in value by 13%"
So focusing on one share, you go from $10 to ???
OpenStudy (angelwings996):
wait, do I do 10 * 13% ?
jimthompson5910 (jim_thompson5910):
so what is 13% of 10?
jimthompson5910 (jim_thompson5910):
you're on the right track in a way
OpenStudy (angelwings996):
1.3
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jimthompson5910 (jim_thompson5910):
add that to 10 to get 11.3
jimthompson5910 (jim_thompson5910):
So a 13% increase makes you go from $10 to $11.30
jimthompson5910 (jim_thompson5910):
Now the stock's value drops by 5%
So find 5% of 11.30 and subtract that from 11.30
OpenStudy (angelwings996):
okay I got 10.73
jimthompson5910 (jim_thompson5910):
That's the stock's price after year 2
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jimthompson5910 (jim_thompson5910):
To find the total value, you multiply by 105 since you bought 105 shares
OpenStudy (angelwings996):
so it would be 1126.65
jimthompson5910 (jim_thompson5910):
wait a sec
jimthompson5910 (jim_thompson5910):
you got 10.735 right?
jimthompson5910 (jim_thompson5910):
not just 10.73
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OpenStudy (angelwings996):
oh no I got just 10.73
jimthompson5910 (jim_thompson5910):
5% of 11.30 = 0.05*11.30 = 0.565
Subtract this from 11.30 to get 11.30 - 0.565 = 10.735
jimthompson5910 (jim_thompson5910):
Then you round that to the nearest penny to get 10.74
jimthompson5910 (jim_thompson5910):
Finally, multiply the individual share price by the number of shares: 10.74*105 = 1,127.70
OpenStudy (angelwings996):
Oh I get it. I rounded early so I did 11.30 - 0.57
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jimthompson5910 (jim_thompson5910):
I see
jimthompson5910 (jim_thompson5910):
hmm now that I think about it, I'm not sure where rounding would be appropriate
it is needed, but you may be right in saying you round early
jimthompson5910 (jim_thompson5910):
Let's go with your version since you're basically saying the stock loses 57 cents in value
OpenStudy (angelwings996):
Yeah cus I though you are supposed to round first then subtract.
jimthompson5910 (jim_thompson5910):
and often, rounding up is only done in favor of those who are in control
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OpenStudy (angelwings996):
Yes, so would it be 1127.70 or 1126.65?
jimthompson5910 (jim_thompson5910):
but nvm about that, so yeah the answer is 1126.65
jimthompson5910 (jim_thompson5910):
I'd go with 1126.65 since rounding is usually done as soon as possible
OpenStudy (angelwings996):
Alright awesome thank you! Could you help me with just one more? I posted it earlier
jimthompson5910 (jim_thompson5910):
ok let me find it
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OpenStudy (angelwings996):
Ill tag you in it. It was the one I posted before this one