The number of mice in a basement triples every month. If a nest starts out with 3 mice, how many mice would there be after 6 months?

729 mice on the six month

Step-by-step explanation:

First month has a total of 3 mice. This amount triples for the second month, and the second month's amount triples for the following. And, so on.

If we take a look at your question, a simple way to solve this equation would to set this problem up as en exponential problem   which can also be seen as 3^6 (^ is known as a carrot on the calculator).

3^6 means that 3 will be multiplied to itself six times: 3 x 3 x 3 x 3 x 3 x 3

This is the long multiplication version of your problem:

3 x 3 x 3 x 3 x 3 x 3 =

9 x 3 x 3 x 3 x 3 =

27 x 3 x 3 x 3 =

81 x 3 x 3 =

243 x 3 = 729 mice

So by the time the 6th month comes around, there will be a basement full of 729 mice

Hope this helped!

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.