A debt doubles every year at 100% interest. How many years does it take to quadruple?

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Multiple Choice

A debt doubles every year at 100% interest. How many years does it take to quadruple?

Explanation:
Doubling each year means the amount is multiplied by 2 every year. Quadrupling means reaching a factor of 4, and 4 is 2 squared. So you need two doublings: after one year you have 2x, after two years you have 4x. Therefore, it takes two years. (One year gives only 2x; three years would give 8x; four years would give 16x.)

Doubling each year means the amount is multiplied by 2 every year. Quadrupling means reaching a factor of 4, and 4 is 2 squared. So you need two doublings: after one year you have 2x, after two years you have 4x. Therefore, it takes two years. (One year gives only 2x; three years would give 8x; four years would give 16x.)

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