An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Calculate percentage changes in inventory and median sales price.
Identify months with increasing inventory and decreasing prices.
Evaluate trade-offs between inventory levels and price changes.
Recommend April as a potentially favorable month to buy due to decreasing prices, despite low inventory.
Explanation
Analyzing the Problem We are tasked with determining the best month for Daniel to buy a house, based on the provided data of monthly inventory and median sales prices. The goal is to find a balance between high inventory (favoring the buyer) and low prices.
Overview of Trends First, let's examine the inventory and price trends. From January to August, the inventory generally decreases until April-June, then slightly increases. The median sales price fluctuates, with a notable peak in August.
Calculating Percentage Changes To quantify these trends, we can calculate the month-to-month percentage changes in both inventory and median sales price. The calculations yield the following percentage changes:
Inventory Changes: [ − 22.22 , − 12.24 , − 2.33 , 0.0 , 0.0 , 2.38 , 9.30 ] Price Changes: [ 8.21 , − 1.46 , 1.18 , − 2.76 , 2.06 , 6.66 ]
These values represent the percentage increase or decrease from the previous month.
Identifying Favorable Months Now, we look for months where inventory is increasing and prices are decreasing or relatively stable. From the inventory changes, we see increases in June (2.38%) and July (9.30%). From the price changes, we see decreases in February (-1.46%) and April (-2.76%).
Evaluating Potential Trade-offs Considering both factors, April stands out as a potentially good month to buy. Although the inventory is at its lowest (4.2 months), the price also experiences a decrease (-2.76%). June and July show increasing inventory, but prices are also increasing significantly during these months.
Final Recommendation January has the highest inventory (6.3 months), but also the lowest price. However, the price increases significantly in February. Therefore, a good strategy would be to consider April as a good time to buy, as the inventory is relatively low but the price is decreasing.
Examples
Understanding housing market trends is crucial for making informed decisions when buying a home. By analyzing inventory and price fluctuations, potential buyers can identify opportune times to purchase property. For example, if Daniel observes that inventory is high and prices are decreasing in a particular month, he might consider this a favorable time to buy, potentially negotiating a better deal. This strategy of analyzing market trends can be applied to various purchasing decisions, from stocks to commodities, helping individuals make financially sound choices.
In total, approximately 2.81 billion billion electrons flow through the device when a current of 15.0 A is maintained for 30 seconds. This is calculated by first determining the total charge using the formula Q = I × t and then dividing by the charge of a single electron. Understanding how current relates to the flow of electrons helps in grasping the fundamentals of electricity.
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