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Please help im going to cry

Please help im going to cry-example-1

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Answer:

Stock A

  • d(1 +0.05)
  • 1.05d
  • d +0.05d

Stock B

  • d -0.05d
  • d(1 -0.05)
  • 0.95d

Explanation:

When we say something is increased (or decreased) by a percentage, we mean that the percentage of the original amount is added to (or subtracted from) the original amount.

Of course, you know that 5% = 5/100 = 0.05, so that an increase of 5% in d would be ...

d + 0.05d . . . . . 5% of the original amount (d), added to d

Factoring out d gives another version of this expression:

d(1 +0.05)

and combining the numbers gives yet another version of the same expression:

1.05d

These are the ways that the increase in Stock A can be expressed:

d +0.05d

d(1 +0.05)

1.05d

__

Similarly, if the "increase" is negative, as for Stock B, we can use the same sorts of expressions. +0.05 gets replaced by -0.05, but the form of the expression is the same.

d - 0.05d . . . . . the original amount decreased by 5%

d(1 -0.05) . . . . .d factored out

0.95d . . . . . . . . the numerical coefficient simplified

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