{"id":568,"date":"2025-05-08T05:07:58","date_gmt":"2025-05-08T05:07:58","guid":{"rendered":"https:\/\/yaveni.com\/blog\/?p=568"},"modified":"2025-05-08T05:07:59","modified_gmt":"2025-05-08T05:07:59","slug":"a-company-borrowed-10000-by-signing-a-180-day-promissory-note-at-9","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-company-borrowed-10000-by-signing-a-180-day-promissory-note-at-9\/","title":{"rendered":"A company borrowed $10,000 by signing a 180-day promissory note at 9%"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">A company borrowed $10,000 by signing a 180-day promissory note at 9%. The total interest due on the maturity date is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. $900<br>B. $75<br>C. $450<br>D. $300<br>E. $1,800<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To determine the interest due on a <strong>180-day promissory note<\/strong> at <strong>9% annual interest<\/strong>, we use the <strong>simple interest formula<\/strong>:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$<br>\\text{Interest} = P \\times r \\times t<br>$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$P$ = principal (amount borrowed) = \\$10,000<\/li>\n\n\n\n<li>$r$ = annual interest rate = 9% = 0.09<\/li>\n\n\n\n<li>$t$ = time in years. Since the loan is for 180 days, we convert this to a fraction of a year:<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">$$<br>t = \\frac{180}{360} = 0.5 \\quad \\text{(using a 360-day year, common in financial calculations)}<br>$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now calculate:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$<br>\\text{Interest} = 10,000 \\times 0.09 \\times 0.5 = 450<br>$$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Correct Answer: C. \\$450<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (300 words):<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In financial transactions, especially short-term loans, it&#8217;s standard to calculate interest using the simple interest formula:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$<br>\\text{Interest} = P \\times r \\times t<br>$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In this scenario, a company takes a <strong>180-day promissory note<\/strong> for \\$10,000 at an <strong>annual interest rate of 9%<\/strong>. A promissory note is a written agreement where one party promises to pay a specific amount of money to another, typically with interest, by a certain date. This form of debt instrument is commonly used for short-term borrowing.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The formula requires the <strong>time in years<\/strong>, but because the loan duration is 180 days, and financial institutions often assume a <strong>360-day year<\/strong> for such calculations (called a &#8220;banker&#8217;s year&#8221;), we convert 180 days to a fraction of a year:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$<br>t = \\frac{180}{360} = 0.5 \\text{ year}<br>$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">With this, the interest calculation becomes straightforward:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$<br>\\text{Interest} = \\$10,000 \\times 0.09 \\times 0.5 = \\$450<br>$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This means when the note reaches its <strong>maturity date<\/strong>, the company will owe \\$10,000 (the principal) <strong>plus \\$450 in interest<\/strong>, for a total of <strong>\\$10,450<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This approach ensures transparency in short-term borrowing, helping companies plan their repayments accurately and avoid late fees or financial mismanagement.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, the <strong>correct answer is C. \\$450<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A company borrowed $10,000 by signing a 180-day promissory note at 9%. The total interest due on the maturity date is: A. $900B. $75C. $450D. $300E. $1,800 The correct answer and explanation is : To determine the interest due on a 180-day promissory note at 9% annual interest, we use the simple interest formula: $$\\text{Interest} [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-568","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/568","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=568"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/568\/revisions"}],"predecessor-version":[{"id":569,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/568\/revisions\/569"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=568"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=568"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=568"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}