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On January 1, one share of stock in the LMNOP Corp was worth $85. By
December, it lost 11.6% of its value. What is the new value of one share of LMNOP
stock?​

Respuesta :

Answer:

$75.14

Step-by-step explanation:

The new value of one share of LMNOP stock after 11.6% increment is $75.14

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we are given that:

  • Initial price of the stock = $85/share
  • Final price of the stock in December = initial price - 11.6% of initial price  (since it lost 11.6% of its initial value, so decrement, which is denoted by subtraction).

Now, the 11.6% of initial price is:

[tex]\dfrac{85}{100} \times 11.6 = \$9.86[/tex]

Thus, the final price of the stock in December =  $85 - $9.86 = $75.14

Learn more about percent here:

https://brainly.com/question/11549320