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The board of trustees for a school is considering a tuition increase. One faction in the board supports Plan​ A, which involves raising the tuition 9​% this year and 8​% the next. Others want Plan​ B, which has the 8​% raise this year and the 9​% next year. Some say it​ doesn't matter because in either​ case, the tuition is the same in the second year. Does it make any difference as to which plan is​ implemented?

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TaeKwonDoIsDead

Answer:

It doesn't matter which plan is implemented. In either case, the tuition will be same.


Step-by-step explanation:

Let current tuition fee be  [tex]x[/tex]

Plan A:

Raise 9% first year: [tex]x+(0.09)x=1.09x[/tex]

Raise 8% 2nd year: [tex]1.09x+(0.08)(1.09x)=1.1772x[/tex]


Plan B:

Raise 8% first year: [tex]x+(0.08)(x)=1.08x[/tex]

Raise 9% 2nd year: [tex]1.08x+(0.09)(1.08x)=1.1772x[/tex]


As we can see, the amount is same for BOTH THE PLANS. So it doesn't matter which plan in implemented.

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