While flinn was starting the fire, his friends were collecting firewood. flinn has 5 sticks. if he puts 3 sticks in the fire every minute, and his friends bring 7 sticks every minute, how many minutes will they need to make a pile of 45 sticks next to their fire?

Time required to make a pile of 45 sticks next to their fire = 10 minutes

Step-by-step explanation:

This is an example of arithmetic progression.

First term = 5 - 3 + 7 = 9 sticks

Common difference = 7 - 3 = 4 sticks.

So the number of sticks next to their fire is increasing like this

        9, 13, 17, 21 .............

term of AP = a + (n-1) d, we need to find n

  a + (n-1) d = 45

  9 + (n-1) x 4 = 45

  (n-1) x 4 = 36

   n - 1 = 9

    n = 10

Time required to make a pile of 45 sticks next to their fire = 10 minutes

the monthly balance will be $75,000

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x