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 the shares: T o t a l C os t = 500 × $19.14 = $9570 .
Calculate the total revenue needed: T o t a l R e v e n u e = $9570 + $6250 = $15820 .
Calculate the required NAV: R e q u i re d N A V = 500 $15820 = $31.64 .
The net asset value must be $31.64 for Rochelle to achieve her profit goal.
Explanation
Understanding the Problem Let's break down this investment problem step by step so we can figure out what the net asset value (NAV) needs to be for Rochelle to make her desired profit.
Calculating the Total Cost First, we need to calculate the total cost of the 500 shares that Rochelle bought. We know she bought them at the offer price of $19.14 per share. So, we multiply the number of shares by the offer price to find the total cost: T o t a l C os t = N u mb er o f S ha res × O ff er P r i ce T o t a l C os t = 500 × $19.14 = $9570 So, Rochelle spent $9570 to buy the shares.
Calculating the Total Revenue Needed Next, we need to figure out how much total revenue Rochelle needs to make in order to achieve her desired profit of $6250. To do this, we add her desired profit to the total cost of the shares: T o t a l R e v e n u e = T o t a l C os t + Des i re d P ro f i t T o t a l R e v e n u e = $9570 + $6250 = $15820 So, Rochelle needs to make a total of $15820 from selling her shares.
Calculating the Required NAV Now, we need to calculate the required net asset value (NAV) per share to achieve this total revenue. To do this, we divide the total revenue needed by the number of shares: R e q u i re d N A V = T o t a l R e v e n u e / N u mb er o f S ha res R e q u i re d N A V = $15820/500 = $31.64 Therefore, the net asset value must be $31.64 in order for Rochelle to sell her shares and make a profit of $6250.
Final Answer So, the net asset value needs to be $31.64 for Rochelle to make a profit of $6250.
Examples
Let's say you're planning a bake sale to raise money for a school trip. You need to figure out how much to charge per cookie to reach your fundraising goal. This problem is similar: you calculate your initial investment (cost of ingredients), add your desired profit (fundraising goal), and then divide by the number of cookies to find the price per cookie. Understanding these calculations helps you make informed decisions in everyday financial planning, whether it's pricing goods, managing investments, or budgeting expenses.
The electric device delivers a current of 15.0 A for 30 seconds, resulting in a total charge of 450 C . This charge corresponds to approximately 2.81 × 1 0 21 electrons flowing through it. Therefore, about 2.81 × 1 0 21 electrons pass through the device in that time period.
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