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 answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.