An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Calculate the total cost of 8 canvases: 8 \t × $7.16 = $57.28 .
Calculate the total revenue from selling 8 canvases: 8 \t × $11.65 = $93.20 .
Calculate the profit by subtracting the total cost from the total revenue: $93.20 − $57.28 = $35.92 .
The profit Anne makes on the sale of 8 canvases is $35.92 .
Explanation
Understanding the Problem Let's break down this problem. Anne is buying canvases from a wholesaler and selling them in her store. We need to figure out how much profit she makes on each canvas and then multiply that by the number of canvases she sells.
Calculating Total Cost First, we need to calculate the total cost Anne incurs for purchasing 8 canvases from the wholesaler. Each canvas costs her $7.16, so the total cost is: 8 × $7.16 = $57.28
Calculating Total Revenue Next, we need to calculate the total revenue Anne generates from selling 8 canvases in her store. She sells each canvas for $11.65, so the total revenue is: 8 × $11.65 = $93.20
Calculating Profit Now, we can calculate the profit Anne makes. Profit is the difference between total revenue and total cost: P ro f i t = T o t a l R e v e n u e − T o t a l C os t P ro f i t = $93.20 − $57.28 = $35.92
Final Answer Therefore, Anne makes a profit of $35.92 on the sale of these 8 canvases.
Examples
Understanding profit calculations is crucial for any business owner. For example, if Anne wants to run a promotion where she offers a discount on canvases, she needs to know her profit margin to ensure she's still making money. Similarly, if she's considering switching to a different wholesaler with different prices, she needs to be able to quickly calculate how this will affect her profits. This type of calculation is also useful in personal finance, such as when selling items online or at a garage sale, to ensure you are pricing your items appropriately to make a profit.
For instance, if Anne considers buying 10 canvases for $6 each and selling them for $10 each, her profit would be calculated as follows:
Total cost: $10 \times $6 = $60 Total revenue: $10 \times $10 = $100 Profit: $100 - $60 = $40
In 30 seconds, a device delivering a current of 15.0 A allows approximately 2.81 x 10^21 electrons to flow through it. This is calculated by first finding the total charge in coulombs and then determining how many electrons correspond to that charge. The charge of a single electron is about 1.6 x 10^-19 C, which is used for the calculations.
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