Respuesta :
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