An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
The device delivers a current of 15.0 A for 30 seconds, resulting in a charge of 450 C . This corresponds to approximately 2.81 × 1 0 21 electrons flowing through it. The calculation is based on the relationship between current, charge, and the number of electrons.
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Identify the most favorable (0.7544) and least favorable (0.6869) exchange rates.
Calculate the euros Sandy would have with the most favorable rate: 829.04 × 0.7544 = 625.44 .
Calculate the euros Sandy would have with the least favorable rate: 829.04 × 0.6869 = 569.39 .
Find the difference: 625.44 − 569.48 = €55.96 .
Explanation
Problem Analysis Sandy wants to convert $829.04 into euros. The exchange rates for six days are given, and we need to find the difference in the amount of euros she would receive if she converted her money on the day with the most favorable exchange rate versus the least favorable exchange rate.
Identify Max and Min Exchange Rates First, we need to identify the most favorable and least favorable exchange rates. The most favorable rate is the highest exchange rate (euros per dollar), and the least favorable rate is the lowest exchange rate. From the table, the highest exchange rate is 0.7544 and the lowest exchange rate is 0.6869 .
Calculate Euros with Max Rate Next, we calculate the amount of euros Sandy would have received on the day with the most favorable exchange rate. This is calculated as: \text{euros_max} = \text{dollars} \times \text{max_rate} = 829.04 \times 0.7544 = 625.44
Calculate Euros with Min Rate Then, we calculate the amount of euros Sandy would have received on the day with the least favorable exchange rate. This is calculated as: \text{euros_min} = \text{dollars} \times \text{min_rate} = 829.04 \times 0.6869 = 569.39
Calculate the Difference Now, we calculate the difference between the two amounts: \text{difference} = \text{euros_max} - \text{euros_min} = 625.44 - 569.48 = 55.96
Final Answer Therefore, the difference in euros Sandy would have if she made her trade on the day with the most favorable exchange rate than if she made her trade on the day with the least favorable exchange rate is 55.96 euros.
Examples
Understanding exchange rates is crucial in international finance and travel. For example, if you're planning a trip to Europe from the US, knowing the exchange rate between the dollar and the euro helps you determine how much your money is worth in euros. By comparing exchange rates over a period, you can choose the best time to exchange your money to maximize your spending power. This is also important for businesses involved in international trade, as fluctuations in exchange rates can impact profits and costs.
