{"id":210978,"date":"2025-05-02T13:14:59","date_gmt":"2025-05-02T13:14:59","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=210978"},"modified":"2025-05-02T13:19:32","modified_gmt":"2025-05-02T13:19:32","slug":"if-cash-is-borrowed-on-a-55800-9-month","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/02\/if-cash-is-borrowed-on-a-55800-9-month\/","title":{"rendered":"If cash is borrowed on a $55,800, 9-month"},"content":{"rendered":"\n<p>If cash is borrowed on a $55,800, 9-month, 10% note on August 1, how much interest expense would be incurred by December 31?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To calculate the interest expense incurred by <strong>December 31<\/strong> on a <strong>\\$55,800<\/strong>, <strong>9-month<\/strong>, <strong>10% note<\/strong> borrowed on <strong>August 1<\/strong>, we need to use the formula for <strong>simple interest<\/strong>:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Interest Formula:<\/strong><\/h3>\n\n\n\n<p>$$<br>\\text{Interest} = \\text{Principal} \\times \\text{Rate} \\times \\text{Time}<br>$$<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Principal (P):<\/strong> \\$55,800<\/li>\n\n\n\n<li><strong>Rate (R):<\/strong> 10% annually = 0.10<\/li>\n\n\n\n<li><strong>Time (T):<\/strong> From August 1 to December 31 is 5 months out of 12 = $\\frac{5}{12}$ year<\/li>\n<\/ul>\n\n\n\n<p>$$<br>\\text{Interest} = 55,800 \\times 0.10 \\times \\frac{5}{12}<br>$$<\/p>\n\n\n\n<p>$$<br>\\text{Interest} = 55,800 \\times 0.10 \\times 0.4167 = 55,800 \\times 0.04167 \\approx \\boxed{2,325.09}<br>$$<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Correct Answer: \\$2,325.09<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcd8 <strong>Explanation (Approx. 300 Words):<\/strong><\/h3>\n\n\n\n<p>When a company borrows money using a note payable, interest typically accrues over time and is recognized as an expense as it is incurred. In this case, the company borrowed <strong>\\$55,800<\/strong> on <strong>August 1<\/strong> under the terms of a <strong>9-month, 10% annual interest note<\/strong>. Although the full term of the note spans 9 months, the company must report how much interest expense it has incurred <strong>by the end of the accounting period<\/strong>, which is <strong>December 31<\/strong>.<\/p>\n\n\n\n<p>To calculate how much interest has accrued by December 31, you first identify how many months have passed since the note was issued. From <strong>August 1 to December 31<\/strong>, there are <strong>5 months<\/strong> (August, September, October, November, and December).<\/p>\n\n\n\n<p>Because the interest rate is annual (10%), you must convert the time to a fraction of the year: <strong>5\/12<\/strong>. Using the simple interest formula:<\/p>\n\n\n\n<p>$$<br>\\text{Interest} = \\text{Principal} \\times \\text{Rate} \\times \\text{Time}<br>$$<\/p>\n\n\n\n<p>you plug in:<\/p>\n\n\n\n<p>$$<br>55,800 \\times 0.10 \\times \\frac{5}{12} = 2,325.09<br>$$<\/p>\n\n\n\n<p>This amount represents the <strong>interest expense<\/strong> that must be recorded on the income statement as of <strong>December 31<\/strong>. It&#8217;s also included as an <strong>accrued liability<\/strong> (interest payable) on the balance sheet if the note hasn\u2019t been paid yet. The remaining interest for the note\u2019s total 9-month term will continue accruing into the next accounting period.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If cash is borrowed on a $55,800, 9-month, 10% note on August 1, how much interest expense would be incurred by December 31? The correct answer and explanation is : To calculate the interest expense incurred by December 31 on a \\$55,800, 9-month, 10% note borrowed on August 1, we need to use the formula [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-210978","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/210978","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=210978"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/210978\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=210978"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=210978"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=210978"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}