Your firm has the opportunity to buy a perpetual motion machine to use in your business. The machine costs $1,000,000 and will increase your profits by $75,000 per year. What is the internal rate of return?

7.5%

Explanation:

A forever series formula for the interest rate is  i = A / PV

Annual benefits = $75,000

Present value = $1,000,000

Thus, i = $75,000 / $1,000,000

i = 0.075

i = 7.5%

Therefore, the internal rate of return is 7.5%

6 and 7 are the two consecutive whole numbers between which square root of 38 lie

Step-by-step explanation:

There are two methods to solve this problem

First method:

In this method we will find the square root of 38.

square root of 38 is 6.16

and 6.16 lies between 6 and 7

Therefore 6 and 7 are the two consecutive whole numbers between which square root of 38 lie.

Second method:

In this method we will find the square of the numbers which is close to 38

so there are two numbers 36 and 49 which are squares of 6 and 7 respectively.

therefore square roots of all the numbers which lie between 36 and 49 lie between 6 and 7