To determine the wise decision, we need to calculate the interest on the loan for the specified period (from June 14 to August 16) and then compare it with the cost avoided by getting the equipment before June 19th.
Let's start by calculating the interest on the loan:
1. **Determine the Time Period in Years:**
- June 14th to August 16th is 63 days (from June 14th to July 14th is 30 days, then from July 14th to August 14th is another 30 days, and finally, from August 14th to 16th is 3 days). Converting this to years: \frac{63}{365} years.
2. **Apply the Interest Formula:**
- Principal (P): $3,000
- Rate (R): 17% or 0.17 as a decimal
- Time (T): \frac{63}{365} years
3. Using the interest formula \text{Interest} = P \times R \times T, we can calculate the interest:
\text{Interest} = 3000 \times 0.17 \times \frac{63}{365} = 88.03
The interest on the loan for the period from June 14th to August 16th would be approximately $88.03.
Now, let's compare this interest to the $100 price increase that would have been incurred if the equipment was bought after June 19th:
The difference would be 100 - 88.03 = 11.97.
**Answer:**
Therefore, it is advisable to borrow the money to get the equipment now because a modest saving of only $11.97 will be realized.