Absolute Value and Linear Equations in Financial Contexts — Quiz Answers

A stock is trading for $⁢25.75 A broker orders that the stock be sold immediately if it goes up or down by 8% of the current price. Let x be the price of the stock at any point in the future. Write an absolute value equation to represent the requirements. Enter your answer in the box.

The rent for an investment property is $⁢950 per month. The property manager charges a monthly fee of $⁢95 In one period, the investor earns $⁢12,825 Write an equation to represent the investor’s revenue in terms of the number of months, x Enter your answer in the box.

The total investment required to start a window-washing business can be modeled by the function C⁡(x)=1,840+33.50⁢x , where x is the number of windows across all of the contracts. If an investor has $⁢5,200 , how many windows can be put under contract? Round to the nearest whole number if necessary. Enter your answer in the box.

A stock is priced at $⁢62.38 per share, and the flat brokerage fee is $⁢6.99 One investor’s account has a debit of $⁢12,482.99 for the purchase of some shares. Write an equation to represent the transaction. Move the correct answer to each box.

One employee deposits $⁢97.54 per paycheck into a retirement account. The account manager charges an initial flat fee of $⁢520 to set up the account. If $⁢6,795.50 has been deposited, how many deposits have been made? Round the answer to the nearest whole number if necessary. Enter your answer in the box.

A stock is trading at $⁢123.82 per share. When the stock is sold, the broker charges a fee of $⁢4.25 before depositing the proceeds into an investor’s account. One investor’s account shows a deposit of $⁢61,905.75 How many shares were sold? Round to the nearest whole number if necessary. Enter your answer in the box.

The total investment required to start a mowing business includes $⁢1,250 for the initial setup and $⁢15 per lawn under contract. One business consultant suggests having $⁢1,850 at the start. Write an equation to represent this investment in terms of the number of lawns, x Enter your answer in the box.

During one trading day, a broker sets a sell order for a stock when the trading price increases or decreases $⁢8.25 The order can be defined by the equation |x−105.48|=8.25 Find the two values that will cause the stock to be automatically sold. Move the correct answer to each box. Not all answers will be used.

A company will invest in a new machine for creating metal discs when the margin of error of the size of the pieces produced reaches 2.5% above or below the specified radius. The specifications that trigger a new machine purchase is represented by the equation |x−6.2|=0.025⁢(6.2) Find the two values that will cause the company to invest in a new machine. Enter your answer in the box.

The median monthly rent for a specific type of property in an area is $⁢1,350 A property manager sets a program to notify her if a rent is posted at 15% above or below the median rent. Let x be the rent at any time in the future. Write an absolute value equation to represent the information about the manager’s alert. Enter your answer in the box.