Using a portion of her savings as a down payment, Sarah bought a new car in order to commute to her new job, reducing her savings account to only $2220. From her expendible income of $2440, essential expenses (fixed) are $1010 per month, essential expenses (flexible) are $500 per month, and nonessential expenses are $430 per month. Sarah has decided to reduce her nonessential expenses for 9 months to only $230 per month, in order to build her savings back up to $5820. Then she will return her nonessential expense budget to the original $430 per month.

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean µ = 20.9 and standard deviation s = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean µ = 1026 and standard deviation s = 209. reports on a student's act or sat usually give the percentile as well as the actual score. the percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. tanya scores 1260 on the sat. what is her percentile (± 1)?