for_a_few_billion.html

There is an old tale about a king who offered a servant $10,000 as a reward. The servant instead asked that for 30 days he be given an amount that would double, starting with a penny. (1 penny for the first day, 2 for the second, 4 for the third, then 8, 16, 32 pennies, and so on).

Use for loops to answer the following:

How much was the reward after 30 days?
remember, a penny isn't 1, but 0.01

Bonus (Only If You Have Time):

How many days would it take the servant to make $10,000?
How about 1 billion?
In JavaScript, there is a value Infinity . How many days until the servant has infinite money?

<!DOCTYPE html>
<html>
    <script>
        // amount after 30 days
        var amt =.01;
        var days = 30;
        for (var day = 2; day <= days; day++){
            amt = amt*2;
        }
        amt
        
        // days to specified amt
        var amt = 1000000000;
        var days = 0;
        while (amt >= .01) {
            amt = amt /2;
            days ++;
        }
        days
        
        //days to Infinity
        var amt = .01;
        var days = 1;
        while (amt< Infinity) {
            amt = amt*2;
            days ++;
        }
        days
    </script>
</html>