Which one of them had more money by the end of 2013?
To determine who had more money in investments by the end of 2013, we need to compare Judith and Quincy's investments. Judith and Quincy both started with the same amount of money to invest in 2012. Judith's investments increased by p percent in 2012 and then increased by q percent in 2013. Quincy's investment increased by r percent from the start of 2012 to the end of 2013.
Investment Comparison
To compare their investments, let's assume they both started with $100. After the first year, Judith's investment would be $100 + (p/100) * $100 = $100 + (p/100) * $100. In the second year, her investment would be $100 + (p/100) * $100 + (q/100) * ($100 + (p/100) * $100).
Quincy's investment, on the other hand, increased by r percent each year. After the first year, his investment would be $100 + (r/100) * $100. By the end of 2013, his investment would be $100 + (r/100) * $100 + (r/100) * ($100 + (r/100) * $100).
Comparing their investments, we can conclude that the person who had more money by the end of 2013 depends on the specific values of p, q, and r. Without knowing those values, we cannot determine who had more money.
In conclusion, without knowing the values of p, q, and r, we cannot determine who had more money by the end of 2013. The answer depends on the specific percentages of increase for Judith and Quincy's investments.