The very rigorous medical program at a local university has a 25% drop out rate for each year. If the school admits 1,000 freshmen, how many diplomas will need to be ordered 4 years later?
So each year, a quarter of 1000 freshmen will drop out. So: Year 1: \(\ \huge 1000 \times .25 = 250, so 750 remain \). Year 2: \(\ \huge 750 \times .25 \approx 188; so 562 remain \). Year 3: \(\ \huge 188 \times .25 = 47, so 141 remain \). Graduation Year: \(\ \huge 141 \times .25 \approx 35, so 106 remain \). So, the school will need \(\ \huge 106 \color{green} diplomas for this class \).
Thats not anoption, its either 656,410,316,240
\(\ \huge hmm.... \).
it was 316
but do you understand why?
\[1000\times(.75)^4\]
Yes because you subtract 25% of the students each year
or you keep 75% each year
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