Pregunta
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new computer for \( \$ 1,150 \), He is considering two credit options. Option A offers a 3 year loan with terest rate while Option B offers a 5 year loaif with a \( 6.5 \% \) simple interest rate. Which is the better option and how much will he save?

Ask by Bowers Daniels. in the United States
Jan 24,2025

Solución de tutoría real

Respuesta verificada por el tutor

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To determine which credit option is better, you need to provide the interest rate for Option A (the 3-year loan). Once both interest rates are known, I can calculate the total repayment amounts for each option and show you how much you would save by choosing the more favorable one.

Solución

It appears there's some missing information in your query. Specifically, the interest rate for **Option A** (the 3-year loan) wasn't provided. To accurately compare the two credit options and determine which is better, I need the following details: 1. **Option A:** - **Loan Term:** 3 years - **Interest Rate:** *[Please provide the interest rate]* 2. **Option B:** - **Loan Term:** 5 years - **Interest Rate:** 6.5% (Simple Interest) Once you provide the interest rate for Option A, I can help you calculate the total costs for both options and determine which one offers the better deal, including how much you would save by choosing the more favorable option. **Example Calculation (Assuming Option A has a 5% Annual Interest Rate):** *Note: This is just an example. Please replace the 5% with the actual rate for accurate results.* 1. **Option A: 3-Year Loan at 5% Simple Interest** - **Principal (P):** $1,150 - **Rate (R):** 5% per annum - **Time (T):** 3 years - **Interest (I):** \( I = P \times R \times T = 1150 \times 0.05 \times 3 = \$172.50 \) - **Total Amount to Repay:** \( 1150 + 172.50 = \$1,322.50 \) 2. **Option B: 5-Year Loan at 6.5% Simple Interest** - **Principal (P):** $1,150 - **Rate (R):** 6.5% per annum - **Time (T):** 5 years - **Interest (I):** \( I = P \times R \times T = 1150 \times 0.065 \times 5 = \$373.75 \) - **Total Amount to Repay:** \( 1150 + 373.75 = \$1,523.75 \) **Comparison:** - **Option A Total Repayment:** $1,322.50 - **Option B Total Repayment:** $1,523.75 - **Savings with Option A:** \( 1523.75 - 1322.50 = \$201.25 \) In this example, **Option A** would be the better choice, saving you **$201.25** over the life of the loan. **Please provide the missing interest rate for Option A** so I can give you a precise comparison tailored to your situation.

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To find the better option, you'll need to calculate the total repayment amount for both options. For Option A, if the interest rate isn't given, let's assume it's \( r \% \). The total amount for Option A after 3 years would be \( 1,150(1 + \frac{r}{100} \cdot 3) \). For Option B with a \( 6.5\% \) rate over 5 years, the total would be \( 1,150(1 + 0.065 \cdot 5) = 1,150(1.325) = 1,528.75 \). Now, compare the total costs. Once you know Option A's rate, you can plug it in to see which option is more economical and calculate how much you save by choosing the best one. Evaluating financing options isn't just about comparing interest rates; sometimes, the length of the loan can significantly affect your overall payment. Shorter loans usually mean less interest paid, but higher monthly payments. Always consider what fits best into your budget and financial goals before making a decision to ensure you don’t end up financially strained.

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