State university is planning a tuition raise. the dean of admissions suggests that they increase tuition by $10\%$ each year for the next two years. the provost suggests that each year they instead increase the tuition by $30\%$ of the amount of the tuition above $\$10{,}000$. so, for example, if the tuition now is $\$25{,}000$, the dean of admissions is suggesting a $\$2{,}500$ increase in the first year. meanwhile, the provost is suggesting a $\$4{,}500$ increase (since the current tuition is $\$15{,}000$ more than $\$10{,}000$, and $30\%$ of $\$15{,}000$ is $\$4{,}500$). the treasurer points out that the tuition two years from now (after two annual increases) will be the same under either the dean's plan or the provost's plan. what is the tuition right now? (assume the tuition is not $0$; state university is not free! )

Describe how the presence of possible outliers might be identified on the following. (a) histograms gap between the first bar and the rest of bars or between the last bar and the rest of bars large group of bars to the left or right of a gap higher center bar than surrounding bars gap around the center of the histogram higher far left or right bar than surrounding bars (b) dotplots large gap around the center of the data large gap between data on the far left side or the far right side and the rest of the data large groups of data to the left or right of a gap large group of data in the center of the dotplot large group of data on the left or right of the dotplot (c) stem-and-leaf displays several empty stems in the center of the stem-and-leaf display large group of data in stems on one of the far sides of the stem-and-leaf display large group of data near a gap several empty stems after stem including the lowest values or before stem including the highest values large group of data in the center stems (d) box-and-whisker plots data within the fences placed at q1 â’ 1.5(iqr) and at q3 + 1.5(iqr) data beyond the fences placed at q1 â’ 2(iqr) and at q3 + 2(iqr) data within the fences placed at q1 â’ 2(iqr) and at q3 + 2(iqr) data beyond the fences placed at q1 â’ 1.5(iqr) and at q3 + 1.5(iqr) data beyond the fences placed at q1 â’ 1(iqr) and at q3 + 1(iqr)