vocabulary\nchoose the correct term from the vocabulary box.\n1. the amount by which a price is reduced so…

vocabulary\nchoose the correct term from the vocabulary box.\n1. the amount by which a price is reduced so that an item will sell\n2. an amount of money that is deposited or borrowed and that earns or is charged interest\n3. an amount of money given as a tip to someone who has performed a service\n4. an amount paid to an employee that represents a percent of the employers sales\nconcepts and skills\n5. use tools all sweaters at a store are on sale at a 20% discount. what would be the sale price of a sweater regularly priced $40? state what strategy and tool you will use to answer the question, explain your choice, and then find the answer.\n6. the depth of water d in a swimming - pool increases and decreases by 3% over a one - month period. match each verbal description of the greatest and least water depths with all equivalent expressions.\n0.97d 1.03d d - 0.03 d + 0.03d (1 - 0.03)d\nd increased by 3%\nd decreased by 3%

vocabulary\nchoose the correct term from the vocabulary box.\n1. the amount by which a price is reduced so that an item will sell\n2. an amount of money that is deposited or borrowed and that earns or is charged interest\n3. an amount of money given as a tip to someone who has performed a service\n4. an amount paid to an employee that represents a percent of the employers sales\nconcepts and skills\n5. use tools all sweaters at a store are on sale at a 20% discount. what would be the sale price of a sweater regularly priced $40? state what strategy and tool you will use to answer the question, explain your choice, and then find the answer.\n6. the depth of water d in a swimming - pool increases and decreases by 3% over a one - month period. match each verbal description of the greatest and least water depths with all equivalent expressions.\n0.97d 1.03d d - 0.03 d + 0.03d (1 - 0.03)d\nd increased by 3%\nd decreased by 3%

Answer

Explanation:

Step1: Define vocabulary

  1. The amount by which a price is reduced so that an item will sell is markdown.
  2. An amount of money that is deposited or borrowed and that earns or is charged interest is principal.
  3. An amount of money given as a tip to someone who has performed a service is gratuity.
  4. An amount paid to an employee that represents a percent of the employer's sales is commission.

Step2: Solve for sale - price of sweater

The regular price of the sweater is $40 and there is a 20% discount. The strategy is to find the amount of the discount and then subtract it from the regular price. The tool is the formula for finding a percentage of a number ($P = \text{Percent}\times\text{Original Amount}$) and subtraction. The amount of the discount is $20%\text{ of }40=0.2\times40 = 8$. The sale - price is $40 - 8=32$.

Step3: Match expressions for water - depth changes

If $d$ is increased by 3%, we first find 3% of $d$ which is $0.03d$, and then add it to $d$. So $d$ increased by 3% is $d + 0.03d=1.03d$. If $d$ is decreased by 3%, we first find 3% of $d$ which is $0.03d$, and then subtract it from $d$. So $d$ decreased by 3% is $d-0.03d=(1 - 0.03)d = 0.97d$.

Answer:

  1. markdown
  2. principal
  3. gratuity
  4. commission
  5. The sale - price of the sweater is $32.
  6. $d$ increased by 3%: 1.03d, d + 0.03d $d$ decreased by 3%: 0.97d, (1 - 0.03)d