Absolute Value and Linear Inequalities in Financial Context — Quiz Answers

A stock is currently trading for $⁢67.58 An investment advisory committee recommends that customers keep the stock as long as the change in price is no more than 6.5% Let x be the price of the stock at any point in the future. Write an inequality to represent the prices that fall in the range of the recommendation to keep the stock. Enter your answer in the box.

An employee deposits $⁢96.75 per paycheck into a retirement account. The management company charges a one-time setup fee of $⁢75 If x is the number of paychecks, which inequality represents the number of paychecks before the net change with the fee and deposits is at least $⁢15,000 ?

A broker wants to change investment strategies if a stock's trading price increases or decreases by more than 8.25% of its current trading price. The prices that fall in the group for a new strategy are described by the solution set to the inequality |x−108.16|≥0.0825⁢(108.16) Which part of the solution set describes the prices with the new strategy that results from an increase? Round to the nearest hundredth if necessary. Enter your answer in the box.

The graph represents changes in rents that will prompt a change in an investment plan. Let x be the rent at any given point. Expand Image Which absolute value inequality represents the amounts in each part of the proposal? ​

The graph represents the cost of a stock depending on the number of shares purchased. Expand Image An investor wants to collect more than $⁢9,875.00 at the time of sale. If x is the price per share, which inequality can be used to find the price per share to meet the investor’s goals?

A commodity is trading at $⁢460.50 per bushel. The graph represents all prices that fall within the advisor's recommendations to buy. Expand Image Which answer represents all recommended prices?

A real estate investor is calculating the cash flow for a property. The difference of the amount collected in rent, x , for 12 months and the annual expenses of $⁢21,850 needs to be at least $⁢7,500 for the investment to be worthwhile. Write an inequality to represent the requirements. Enter your answer in the box.

A real estate property is valued at $⁢158,675 The owner will keep the same investment plan as long as the change in value is not more than $⁢12,500 If the investor uses the inequality |x−158,675|≤12,500 to represent the range of prices, what solution set represents the prices at which the owner will keep the same plan? Enter your answer in the boxes.

The estimated value of an investment property is $⁢174,650 One investment plan suggests maintaining the current course of action as long as the change in value is no more than 5% above or below the estimated value. Let x be the estimated value at any time in the future. Which absolute value inequality represents all the values at which the plan maintains the current course of action?

The median monthly rent in one area for a specific type of property is $⁢1,225 An investor offers new recommendations for rents that are at least 15% above or below the median rent. Let x be the rent at any given point. Which answer represents the rents that have new recommendations?

Complete the statements by entering your answers in the boxes.

Complete the statements by entering your answers in the boxes.

One investor’s stock purchase depending on the price per share can be represented by the inequality 250⁢x+5.99<13,543 Which statement is true about the purchase, based on the inequality? Round to the nearest hundredth if necessary.

An investor is evaluating a potential apartment complex based on its monthly cash flow. The difference of the amount collected in rent from the apartments in the complex, x , for 12 months and the annual expenses of $⁢180,766 needs to be more than $⁢12,532 for the investment to be worthwhile. Write the solution set showing the possible values of collected rent for a profitable investment. Round to the nearest hundredth if necessary. Enter your answer in the box.

An investor owns a stock trading at $⁢6.78 per share. The investor’s broker charges $⁢2.99 per transaction. The investor wants to collect at least $⁢20,925 by selling a portion of the stock. If x is the number of shares, which inequality represents the number of shares the investor could sell to meet the goal? Round to the nearest tenth if necessary.

An investor owns a stock trading at $⁢6.78 per share. The investor’s broker charges $⁢2.99 per transaction. The investor wants to collect at least $⁢20,925 by selling a portion of the stock. If x is the number of shares, which inequality represents the number of shares the investor could sell to meet the goal? Round to the nearest tenth if necessary.

The inequality |x−106.50|≤10.65 represents the recommended buying range per ton of a commodity depending on varying future costs. Complete the statements by entering your answers in the boxes.

The sale of one investor’s stock depending on the number of shares sold can be represented by the inequality 45.67⁢x−6.50≥16,899 Which statement is true about the purchase, based on the inequality? Round to the nearest hundredth if necessary.

An investor owns 400 shares of a stock. The investor’s broker charges $⁢9.09 per transaction. The investor wants to collect at least $⁢8,086 upon selling all of the shares. If x is the price per share, which inequality represents the price per share at which the investor should sell to meet the goal? Round to the nearest hundredth if necessary.

A stock is trading at $⁢37.98 per share, and the broker charges $⁢5.49 per transaction. One investor has $⁢8,349.50 to cover an entire transaction. If x is the number of shares, write the solution set that represents the number of shares the investor can purchase. Round to the nearest hundredth if necessary.