The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negative x squared Baseline comma where x represents time in years. The total profit in year 2 that the invention is in operation is $ 25 comma 000. Find the total profit function Upper P (x ). Round to the nearest thousandth if necessary.

The function is  

Step-by-step explanation:

From the question we are told that

    The rate of growth  is  

     The total profit is $25,000

      The time taken to make the profit is

From the question

       is the rate of growth

  Now here x represent the time taken

Now the total profit is mathematically represented as

So using substitution method

   We have that

  So  

             recall     and  let  

At  x =  2 years  

     $25,000

So

       Since the profit rate is in million

    $25,000 = $0.025 millon dollars

So  

=>      

So the profit function becomes

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

.25

step-by-step explanation: