Stock portfolio you invested a total of $25,000 in coca-
cola company and intel corporation. you purchased coca-
cola at $45 per share and intel at $32 per share. ir coca-cola
doubles in value and intel stock goes up by 50%, your portfo-
lio will be worth $42.000. how many shares of each stock do
you own?

Let x and y be the number of Coca-Cola and Intel shares, respectively.

You initial investment was

In the forecast, we have that Coca-Cola shares double in value, and thus they're worth 90 dollars. Similarly, Intel shares increase by half of their current value, raising to 32+16=48. So, your new portfolio is

At this point we can solve the linear system given by the two equations: we can multiply the first equation by 2 to get

Subtracting the second equation from this one we have

So, you own 500 Intel shares. Plug this value into one of the equations (for example, the first) to solve for x, i.e. the number of Coca-Cola shares:

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

answer: about 22.67

step-by-step explanation: