{"id":3270,"date":"2023-05-23T15:19:37","date_gmt":"2023-05-23T15:19:37","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=3270"},"modified":"2024-10-18T20:55:08","modified_gmt":"2024-10-18T20:55:08","slug":"personal-finance-background-youll-need-1","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/personal-finance-background-youll-need-1\/","title":{"raw":"Personal Finance: Background You'll Need 1","rendered":"Personal Finance: Background You&#8217;ll Need 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Calculate discount of a product&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4225,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;15&quot;:&quot;Calibri&quot;}\">Calculate discount of a product<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Calculating Discounts<\/h2>\r\n<p>When you buy an item on sale, the <strong>original price<\/strong> of the item has been reduced by some dollar amount. The <strong>discount rate<\/strong>, usually given as a percent, is used to determine the amount of the discount. To determine the <strong>amount of discount<\/strong>, we multiply the discount rate by the original price.<\/p>\r\n<section class=\"textbox keyTakeaway\">\r\n<div>\r\n<h3>discount<\/h3>\r\n<p>An amount of discount is a percent off the original price.<\/p>\r\n<p>&nbsp;<\/p>\r\n<center>[latex]\\begin{array}{ccc}\\hfill \\text{amount of discount}&amp; =&amp; \\text{discount rate}\\cdot \\text{original price}\\hfill \\\\ \\hfill \\text{sale price}&amp; =&amp; \\text{original price}-\\text{discount}\\hfill \\end{array}[\/latex]<\/center><\/div>\r\n<\/section>\r\n<section class=\"textbox proTip\">The sale price should always be less than the original price. In some cases, the amount of discount is a fixed dollar amount. Then we just find the sale price by subtracting the amount of discount from the original price.<\/section>\r\n<section class=\"textbox questionHelp\">\r\n<p><strong>How To: Calculate Sale Price from a Discount<\/strong><\/p>\r\n<ol>\r\n\t<li><strong>Understand the Terms:<\/strong>\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n\t<li><strong>Original Price<\/strong>: The price of the item before any discounts.<\/li>\r\n\t<li><strong>Discount Rate<\/strong>: The percentage by which the price is reduced.<\/li>\r\n\t<li><strong>Amount of Discount<\/strong>: The actual dollar amount that the price is reduced by.<\/li>\r\n\t<li><strong>Sale Price<\/strong>: The new price of the item after the discount is applied.<\/li>\r\n<\/ol>\r\n<\/li>\r\n\t<li><strong>Calculate the Amount of Discount: <\/strong>Convert the discount rate from a percentage to a decimal by dividing by [latex]100[\/latex]. Multiply the original price by the decimal discount rate.<\/li>\r\n\t<li><strong>Calculate the Sale Price: <\/strong>Subtract the amount of discount from the original price.<\/li>\r\n<\/ol>\r\n<\/section>\r\n<section class=\"textbox example\">\r\n<div id=\"exer-00013\" class=\"unnumbered\" data-type=\"exercise\">\r\n<section>\r\n<div id=\"prob-00013\" data-type=\"problem\">\r\n<div class=\"os-problem-container\">\r\n<p>Jason bought a pair of sunglasses that were on sale for [latex]\\text{\\$10}[\/latex] off. The original price of the sunglasses was [latex]\\text{\\$39}[\/latex]. What was the sale price of the sunglasses?<\/p>\r\n<p>[reveal-answer q=\"569993\"]Show Answer[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"569993\"]<\/p>\r\n<table id=\"eip-id1168469821476\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to solving the problem. It shows seven steps. Identify what are asked to find: What is the sale price? Choose a variable to represent it: Let the variable s be equal to the sale price. Write a sentence that gives the information to find it: The sale price is the original price minus the discount. Translate into an equation: The sale price is represented by the variable s. The word 'is' is represented with an equal sign. The original price, $39, is written as 39. The word 'minus' is represented with a minus sign. The discount, $10, is written as 10. The equation is s = 39 - 10. Simplify: s = 29. Write a complete sentence that answers the question: The sale price of the sunglasses was $29. Check of this answer is reasonable: Yes. The sale price, $29, is less than the original price, $39.\">\r\n<tbody>\r\n<tr>\r\n<td>Identify what you are asked to find.<\/td>\r\n<td>What is the sale price?<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Choose a variable to represent it.<\/td>\r\n<td>Let [latex]s=[\/latex] the sale price.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a sentence that gives the information to find it.<\/td>\r\n<td>The sale price is the original price minus the discount.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate into an equation.<\/td>\r\n<td><img class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24222047\/CNX_BMath_Figure_06_03_018_img-01.png\" alt=\"The sale price &quot;s&quot; is &quot;=&quot; the original $39 price &quot;39&quot; minus &quot;-&quot; the $10 discount &quot;10&quot;.\" width=\"425\" height=\"76\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]s=29[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check if this answer is reasonable.<\/td>\r\n<td>Yes. The sale price, [latex]\\text{\\$29}[\/latex], is less than the original price, [latex]\\text{\\$39}[\/latex].<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a complete sentence that answers the question.<\/td>\r\n<td>The sale price of the sunglasses was [latex]\\text{\\$29}[\/latex].<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/div>\r\n<\/div>\r\n<\/section>\r\n<\/div>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]6902[\/ohm2_question]<\/section>\r\n<section class=\"textbox example\">Elise bought a dress that was discounted [latex]\\text{35%}[\/latex] off of the original price of [latex]\\text{\\$140}[\/latex].\r\n\r\n<ol>\r\n\t<li>What was the amount of discount?<\/li>\r\n\t<li>What was the sale price of the dress?<\/li>\r\n<\/ol>\r\n<p>[reveal-answer q=\"898861\"]Show Answer[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"898861\"]<\/p>\r\n<p>1. Before beginning, you may find it helpful to organize the information in a list.<\/p>\r\n<p>Original price = [latex]\\text{\\$140}[\/latex]<\/p>\r\n<p>Discount rate = [latex]35\\text{%}[\/latex]<\/p>\r\n<p>Amount of discount = ?<\/p>\r\n<table id=\"eip-id1168466735001\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to solving part A. It shows seven steps. Identify what are asked to find: What is the amount of the discount? Choose a variable to represent it: Let the variable d be equal to the amount of the discount. Write a sentence that gives the information to find it: The discount is 35% of the original price. Translate into an equation: The discount is represented by the variable d. The word 'is' is represented with an equal sign. 35% is written as 0.35. The word 'of' is represented with a multiplication dot. The original price, 40, is written as 140. The equation is d = 0.35 \u00b7 140. Simplify: d = 49. Write a complete sentence that answers the question: The amount of the discount was $49. Check if this answer is reasonable: Yes. A $49 discount is reasonable for a 40 dress.\">\r\n<tbody>\r\n<tr>\r\n<td>Identify what you are asked to find.<\/td>\r\n<td>What is the amount of discount?<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Choose a variable to represent it.<\/td>\r\n<td>Let [latex]d=[\/latex] the amount of discount.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a sentence that gives the information to find it.<\/td>\r\n<td>The discount is [latex]35\\text{%}[\/latex] of the original price.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate into an equation.<\/td>\r\n<td><img class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24222051\/CNX_BMath_Figure_06_03_019_img-01.png\" alt=\"The discount &quot;s&quot; is &quot;=&quot; 35% &quot;0.35&quot; of &quot;*&quot; the $140 original price &quot;140&quot;.\" width=\"374\" height=\"76\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]d=49[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check if this answer is reasonable.<\/td>\r\n<td>Yes. A [latex]\\text{\\$49}[\/latex] discount is reasonable for a [latex]\\text{\\$140}[\/latex] dress.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a complete sentence that answers the question.<\/td>\r\n<td>The amount of discount was [latex]\\text{\\$49}[\/latex].<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>2.<\/p>\r\n<p>Original price = [latex]\\text{\\$140}[\/latex]<\/p>\r\n<p>Amount of discount = [latex]\\text{\\$49}[\/latex]<\/p>\r\n<p>Sale price = ?<\/p>\r\n<table id=\"eip-id1168468275547\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps for solving part B. It shows seven steps. Identify what you are asked to find: What is the sale price of the dress? Choose a variable to represent it: Let the variable s be equal to the sale price. Write a sentence that gives the information to find it: The sale price is the original price minus the discount. Translate into an equation: The sale price is represented by s. The word 'is' is represented with an equals sign. 40 is written as 140. The word 'minus' is represented with a minus sign. The amount of the discount, $49, is written as 49. The equation is s = 140 - 49. Simplify: s= 91. Write a complete sentence that answers the question: The sale price of the dress was $91. Check of this answer is reasonable: Yes. The sale price, $91, is less than the original price, 40.\">\r\n<tbody>\r\n<tr>\r\n<td>Identify what you are asked to find.<\/td>\r\n<td>What is the sale price of the dress?<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Choose a variable to represent it.<\/td>\r\n<td>Let [latex]s=[\/latex] the sale price.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a sentence that gives the information to find it.<\/td>\r\n<td>The sale price is the original price minus the discount.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate into an equation.<\/td>\r\n<td><img class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24222055\/CNX_BMath_Figure_06_03_020_img-01.png\" alt=\"The sale price &quot;s&quot; is &quot;=&quot; the $140 &quot;140&quot; minus &quot;-&quot; the $49 discount &quot;49&quot;.\" width=\"390\" height=\"76\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]s=91[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check if this answer is reasonable.<\/td>\r\n<td>Yes. The sale price, [latex]\\text{\\$91}[\/latex], is less than the original price, [latex]\\text{\\$140}[\/latex].<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a complete sentence that answers the question.<\/td>\r\n<td>The sale price of the dress was [latex]\\text{\\$91}[\/latex].<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]6903[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Calculate discount of a product&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4225,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;15&quot;:&quot;Calibri&quot;}\">Calculate discount of a product<\/span><\/li>\n<\/ul>\n<\/section>\n<h2>Calculating Discounts<\/h2>\n<p>When you buy an item on sale, the <strong>original price<\/strong> of the item has been reduced by some dollar amount. The <strong>discount rate<\/strong>, usually given as a percent, is used to determine the amount of the discount. To determine the <strong>amount of discount<\/strong>, we multiply the discount rate by the original price.<\/p>\n<section class=\"textbox keyTakeaway\">\n<div>\n<h3>discount<\/h3>\n<p>An amount of discount is a percent off the original price.<\/p>\n<p>&nbsp;<\/p>\n<div style=\"text-align: center;\">[latex]\\begin{array}{ccc}\\hfill \\text{amount of discount}& =& \\text{discount rate}\\cdot \\text{original price}\\hfill \\\\ \\hfill \\text{sale price}& =& \\text{original price}-\\text{discount}\\hfill \\end{array}[\/latex]<\/div>\n<\/div>\n<\/section>\n<section class=\"textbox proTip\">The sale price should always be less than the original price. In some cases, the amount of discount is a fixed dollar amount. Then we just find the sale price by subtracting the amount of discount from the original price.<\/section>\n<section class=\"textbox questionHelp\">\n<p><strong>How To: Calculate Sale Price from a Discount<\/strong><\/p>\n<ol>\n<li><strong>Understand the Terms:<\/strong>\n<ol style=\"list-style-type: lower-alpha;\">\n<li><strong>Original Price<\/strong>: The price of the item before any discounts.<\/li>\n<li><strong>Discount Rate<\/strong>: The percentage by which the price is reduced.<\/li>\n<li><strong>Amount of Discount<\/strong>: The actual dollar amount that the price is reduced by.<\/li>\n<li><strong>Sale Price<\/strong>: The new price of the item after the discount is applied.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Calculate the Amount of Discount: <\/strong>Convert the discount rate from a percentage to a decimal by dividing by [latex]100[\/latex]. Multiply the original price by the decimal discount rate.<\/li>\n<li><strong>Calculate the Sale Price: <\/strong>Subtract the amount of discount from the original price.<\/li>\n<\/ol>\n<\/section>\n<section class=\"textbox example\">\n<div id=\"exer-00013\" class=\"unnumbered\" data-type=\"exercise\">\n<section>\n<div id=\"prob-00013\" data-type=\"problem\">\n<div class=\"os-problem-container\">\n<p>Jason bought a pair of sunglasses that were on sale for [latex]\\text{\\$10}[\/latex] off. The original price of the sunglasses was [latex]\\text{\\$39}[\/latex]. What was the sale price of the sunglasses?<\/p>\n<p><div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q569993\">Show Answer<\/button><\/p>\n<div id=\"q569993\" class=\"hidden-answer\" style=\"display: none\">\n<table id=\"eip-id1168469821476\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to solving the problem. It shows seven steps. Identify what are asked to find: What is the sale price? Choose a variable to represent it: Let the variable s be equal to the sale price. Write a sentence that gives the information to find it: The sale price is the original price minus the discount. Translate into an equation: The sale price is represented by the variable s. The word 'is' is represented with an equal sign. The original price, $39, is written as 39. The word 'minus' is represented with a minus sign. The discount, $10, is written as 10. The equation is s = 39 - 10. Simplify: s = 29. Write a complete sentence that answers the question: The sale price of the sunglasses was $29. Check of this answer is reasonable: Yes. The sale price, $29, is less than the original price, $39.\">\n<tbody>\n<tr>\n<td>Identify what you are asked to find.<\/td>\n<td>What is the sale price?<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let [latex]s=[\/latex] the sale price.<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence that gives the information to find it.<\/td>\n<td>The sale price is the original price minus the discount.<\/td>\n<\/tr>\n<tr>\n<td>Translate into an equation.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24222047\/CNX_BMath_Figure_06_03_018_img-01.png\" alt=\"The sale price &quot;s&quot; is &quot;=&quot; the original $39 price &quot;39&quot; minus &quot;-&quot; the $10 discount &quot;10&quot;.\" width=\"425\" height=\"76\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]s=29[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check if this answer is reasonable.<\/td>\n<td>Yes. The sale price, [latex]\\text{\\$29}[\/latex], is less than the original price, [latex]\\text{\\$39}[\/latex].<\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>The sale price of the sunglasses was [latex]\\text{\\$29}[\/latex].<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm6902\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=6902&theme=lumen&iframe_resize_id=ohm6902&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox example\">Elise bought a dress that was discounted [latex]\\text{35%}[\/latex] off of the original price of [latex]\\text{\\$140}[\/latex].<\/p>\n<ol>\n<li>What was the amount of discount?<\/li>\n<li>What was the sale price of the dress?<\/li>\n<\/ol>\n<p><div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q898861\">Show Answer<\/button><\/p>\n<div id=\"q898861\" class=\"hidden-answer\" style=\"display: none\">\n<p>1. Before beginning, you may find it helpful to organize the information in a list.<\/p>\n<p>Original price = [latex]\\text{\\$140}[\/latex]<\/p>\n<p>Discount rate = [latex]35\\text{%}[\/latex]<\/p>\n<p>Amount of discount = ?<\/p>\n<table id=\"eip-id1168466735001\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to solving part A. It shows seven steps. Identify what are asked to find: What is the amount of the discount? Choose a variable to represent it: Let the variable d be equal to the amount of the discount. Write a sentence that gives the information to find it: The discount is 35% of the original price. Translate into an equation: The discount is represented by the variable d. The word 'is' is represented with an equal sign. 35% is written as 0.35. The word 'of' is represented with a multiplication dot. The original price, 40, is written as 140. The equation is d = 0.35 \u00b7 140. Simplify: d = 49. Write a complete sentence that answers the question: The amount of the discount was $49. Check if this answer is reasonable: Yes. A $49 discount is reasonable for a 40 dress.\">\n<tbody>\n<tr>\n<td>Identify what you are asked to find.<\/td>\n<td>What is the amount of discount?<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let [latex]d=[\/latex] the amount of discount.<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence that gives the information to find it.<\/td>\n<td>The discount is [latex]35\\text{%}[\/latex] of the original price.<\/td>\n<\/tr>\n<tr>\n<td>Translate into an equation.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24222051\/CNX_BMath_Figure_06_03_019_img-01.png\" alt=\"The discount &quot;s&quot; is &quot;=&quot; 35% &quot;0.35&quot; of &quot;*&quot; the $140 original price &quot;140&quot;.\" width=\"374\" height=\"76\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]d=49[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check if this answer is reasonable.<\/td>\n<td>Yes. A [latex]\\text{\\$49}[\/latex] discount is reasonable for a [latex]\\text{\\$140}[\/latex] dress.<\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>The amount of discount was [latex]\\text{\\$49}[\/latex].<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>2.<\/p>\n<p>Original price = [latex]\\text{\\$140}[\/latex]<\/p>\n<p>Amount of discount = [latex]\\text{\\$49}[\/latex]<\/p>\n<p>Sale price = ?<\/p>\n<table id=\"eip-id1168468275547\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps for solving part B. It shows seven steps. Identify what you are asked to find: What is the sale price of the dress? Choose a variable to represent it: Let the variable s be equal to the sale price. Write a sentence that gives the information to find it: The sale price is the original price minus the discount. Translate into an equation: The sale price is represented by s. The word 'is' is represented with an equals sign. 40 is written as 140. The word 'minus' is represented with a minus sign. The amount of the discount, $49, is written as 49. The equation is s = 140 - 49. Simplify: s= 91. Write a complete sentence that answers the question: The sale price of the dress was $91. Check of this answer is reasonable: Yes. The sale price, $91, is less than the original price, 40.\">\n<tbody>\n<tr>\n<td>Identify what you are asked to find.<\/td>\n<td>What is the sale price of the dress?<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let [latex]s=[\/latex] the sale price.<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence that gives the information to find it.<\/td>\n<td>The sale price is the original price minus the discount.<\/td>\n<\/tr>\n<tr>\n<td>Translate into an equation.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24222055\/CNX_BMath_Figure_06_03_020_img-01.png\" alt=\"The sale price &quot;s&quot; is &quot;=&quot; the $140 &quot;140&quot; minus &quot;-&quot; the $49 discount &quot;49&quot;.\" width=\"390\" height=\"76\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]s=91[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check if this answer is reasonable.<\/td>\n<td>Yes. 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