Percent change
samantha bought 247 shares of jerry co. stock for $111.89.
enter either positive or negative numbers for each.
1. how much money did samantha invest in jerry co. stock?
the value of this jerry co. stock in one year is now $54.83 and samantha sold this stock.
2. how much money did samantha receive by selling the stock at this price?
3. what is the absolute change for this investment?
4. what is the percent change for this investment? round to the nearest 10th

Step-by-step explanation:

1. The amount invested is the amount for each stock ($111.89) times the number of stocks (247).

  $111.89 × 247 = $27,636.83

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2. She received $54.83 for each of her 247 shares of stock, so the amount she received was ...

  $54.83 × 247 = $13,543.01

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3. The absolute change is the ending amount less the beginning amount:

  $13,543.01 - 27,636.83 = -$14,093.82

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4. The percentage change is found by dividing the absolute change by the original amount, then multiplying by 100%.

  -$14,093.82/$27,636.83 × 100% ≈ -50.99651% ≈ -51.0%

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The percentage change can also be figured using the price of a single share of stock. Essentially, we factor out the factor of 247 that is both of the numbers used above. We also rearrange the computation so that the original value only needs to be entered once.

  percentage change = ((new value) - (original value))/(original value) × 100%

  = ((new value)/(original value) -1) × 100%

  = (54.83/111.89 -1) × 100%

  = (0.4900349 -1) × 100% = -0.5099651 × 100%

  = -50.99651% ≈ -51.0%

It's the same computation, but performed slightly differently.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4