An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
The electric device delivering a current of 15.0 A for 30 seconds results in a total charge of 450 coulombs. This charge equates to approximately 2.81 x 10^21 electrons flowing through the device. Thus, around 2.81 trillion trillion electrons pass through in that time period.
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Calculate the ending inventory for May: 2600 + 800 − 1600 = 1800 .
Verify that the ending inventory for May matches the beginning inventory for June.
Set up the equation for April: 2600 = x + 1000 − 1400 , where x is the beginning inventory for April.
Solve for x : x = 2600 − 1000 + 1400 = 3000 . The beginning inventory for April is 3000 .
Explanation
Understanding the Problem We are given an inventory table with data for April, May, and June. We need to find the beginning inventory for April. We know that the ending inventory for a month is equal to the beginning inventory for the next month. Also, Ending Inventory = Beginning Inventory + Purchases - Units Sold.
Calculate Ending Inventory for May First, let's calculate the ending inventory for May. Beginning Inventory (May) = 2,600, Purchases (May) = 800, Units Sold (May) = 1,600. So, Ending Inventory (May) = 2,600 + 800 - 1,600 = 1,800.
Verification with June's Beginning Inventory The ending inventory for May is the beginning inventory for June, which is given as 1,800. This confirms our calculation in the previous step.
Determine Ending Inventory for April Now, let's calculate the ending inventory for April. The ending inventory for April is the beginning inventory for May, which is 2,600.
Set up the Equation for April Let x be the beginning inventory for April. We know that Purchases (April) = 1,000 and Units Sold (April) = 1,400. We can set up the equation: Ending Inventory (April) = Beginning Inventory (April) + Purchases (April) - Units Sold (April), which translates to 2,600 = x + 1,000 - 1,400.
Solve for Beginning Inventory of April Solving for x , we have x = 2,600 - 1,000 + 1,400 = 3,000. Therefore, the beginning inventory for April is 3,000.
Examples
Understanding inventory management is crucial in business. For example, a store needs to track its stock to ensure it has enough products to meet customer demand without overstocking. By using the formula Ending Inventory = Beginning Inventory + Purchases - Units Sold, the store can determine how much of each product it needs to order each month. This helps in optimizing costs and maximizing profits. This problem demonstrates a basic application of inventory tracking, which is essential for efficient business operations.
