Final answer:
The solutions include calculating daily prices of an item on sale, determining the average temperature from a set of temperatures, and computing a student's GPA based on letter grades and credit units.
Step-by-step explanation:
Calculate Prices at The Last Stop Boutique Sale
To calculate the price of an item for each of the five days given the original price, we can set up a straightforward mathematical formula where each day's price is 90% (100% - 10%) of the previous day's. For a starting price of $10.00, the calculation would be as follows:
- Day 1 (Monday): $10.00
- Day 2 (Tuesday): $10.00 * 0.90 = $9.00
- Day 3 (Wednesday): $9.00 * 0.90 = $8.10
- Day 4 (Thursday): $8.10 * 0.90 = $7.29
- Day 5 (Friday): $7.29 * 0.90 = $6.56
Each day's price rounds to three digits as directed.
Calculate the Average Temperature
For the average temperature, we collect the set of temperatures and then apply the following formula for the average:
Average = (Sum of the temperatures) / (Total number of temperatures)
Using the given data set: (78 + 90 + 85 + 80 + 87 + 83 + 75 + 90 + 86 + 70) / 10 = 82.4°F
Calculate a Student's Grade Point Average (GPA)
To calculate the grade point average (GPA), we multiply each letter grade by its unit credit and then divide by the total units. The provided data gives us:
- History B (3 units): 3.0 * 3 = 9.0
- Economics A (3 units): 4.0 * 3 = 12.0
- PE A (1 unit): 4.0 * 1 = 4.0
- Chemistry C (4 units): 2.0 * 4 = 8.0
- Art B (3 units): 3.0 * 3 = 9.0
Total units = 14, Total grade points = 42.0, GPA = 42.0 / 14 = 3.0