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Samantha's college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs \( \$ 1,450 \), and Samantha must complete 2 years of college to receive her degree. The average cost for books each trimester is \( \$ 350 \). Approximately what will be the total cost for Samantha to get her degree? a. \( \$ 4,700 \) b. \( \$ 5,400 \) c. \( \$ 9,050 \) d. \( \$ 10,800 \)

Ask by King Elliott. in the United States
Feb 22,2025

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Answer

The total cost for Samantha to get her degree is approximately \$10,800.

Solution

Samantha has 6 trimesters in 2 years (3 trimesters per year × 2 years). Each trimester, she pays tuition of $1,450 and books that cost $350. Thus, the total cost per trimester is: $1,450 + $350 = $1,800. Over 6 trimesters, the total cost is: 6 × $1,800 = $10,800. Thus, the correct answer is d. $10,800.

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To find the total cost for Samantha to get her degree, we need to consider both tuition and book costs over the entire duration of her college education. Samantha is in college for 2 years, and since she runs on a trimester schedule, that means she has 3 trimesters per year. Therefore, she will complete a total of \( 2 \text{ years} \times 3 \text{ trimesters/year} = 6 \text{ trimesters} \). The tuition cost for each trimester is \( \$ 1,450 \), so for 6 trimesters, the total tuition cost will be: \[ 6 \text{ trimesters} \times \$ 1,450/\text{trimester} = \$ 8,700 \] Now, for the book cost, she spends \( \$ 350 \) each trimester, so for 6 trimesters, her total book cost will be: \[ 6 \text{ trimesters} \times \$ 350/\text{trimester} = \$ 2,100 \] Finally, the overall total cost for Samantha to complete her degree will be: \[ \text{Total Cost} = \text{Total Tuition} + \text{Total Books} = \$ 8,700 + \$ 2,100 = \$ 10,800 \] Thus, the answer is: d. \( \$ 10,800 \)

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