Problem

The cost to attend a public university in a recent year is $\$ 14,306$. The circle graph to the right shows the percentage of that cost for tuition/fees, room, board, and computer costs. Determine the cost, in dollars, for each category.

The cost of tuition and fees is $\$ \square$.
(Round to the nearest cent as needed.)
Cost to Attend a Public University
Tuition/Fees $37.2 \%$
Room $34.6 \%$
Board $22.6 \%$
Computer costs $5.6 \%$

Answer

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Answer

Final Answer: The cost of tuition and fees is \( \boxed{\$5321.83} \).

Steps

Step 1 :The question is asking for the cost of tuition and fees. Given that the total cost to attend the university is $14,306 and the percentage of that cost for tuition and fees is 37.2%, we can calculate the cost of tuition and fees by multiplying the total cost by the percentage (expressed as a decimal).

Step 2 :Let's denote the total cost as \( total\_cost \) and it is given as $14,306.

Step 3 :The percentage of the total cost that goes to tuition and fees is given as 37.2%. We can express this as a decimal by dividing by 100, so \( percentage\_tuition\_fees = 0.372 \).

Step 4 :We can now calculate the cost of tuition and fees by multiplying the total cost by the percentage for tuition and fees. So, \( cost\_tuition\_fees = total\_cost \times percentage\_tuition\_fees \).

Step 5 :Substituting the given values, we get \( cost\_tuition\_fees = 14306 \times 0.372 = 5321.832 \).

Step 6 :Rounding to the nearest cent, the cost of tuition and fees is $5321.83.

Step 7 :Final Answer: The cost of tuition and fees is \( \boxed{\$5321.83} \).

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