{"id":203513,"date":"2025-03-20T02:41:11","date_gmt":"2025-03-20T02:41:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=203513"},"modified":"2025-03-20T02:41:13","modified_gmt":"2025-03-20T02:41:13","slug":"arielle-is-an-office-assistant-at-richardson","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/20\/arielle-is-an-office-assistant-at-richardson\/","title":{"rendered":"Arielle is an office assistant at Richardson"},"content":{"rendered":"\n<p>a. Arielle is an office assistant at Richardson. She makes $47,700 per year. She has individual health care. Her yearly contribution is 5% of the total cost. How much does her employer contribute?<\/p>\n\n\n\n<p>b. Catherine is a department manager at Richardson. Her annual salary is $68,300. She has family health care. Her employer contributes $935 per month towards her total coverage cost. What percent does Catherine contribute toward the total coverage?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answers:<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">a. Arielle&#8217;s Employer Contribution:<\/h4>\n\n\n\n<p>Arielle contributes 5% of the total health care cost. That means the total cost of her health care plan is calculated as: Total&nbsp;Cost=5%&nbsp;of&nbsp;her&nbsp;salary5%=0.05\u00d7477000.05=47700\\text{Total Cost} = \\frac{5\\% \\text{ of her salary}}{5\\%} = \\frac{0.05 \\times 47700}{0.05} = 47700<\/p>\n\n\n\n<p>Since her employer covers the remaining 95%, the employer contribution is: Employer&nbsp;Contribution=95%\u00d747700=45315\\text{Employer Contribution} = 95\\% \\times 47700 = 45315<\/p>\n\n\n\n<p>So, Arielle\u2019s employer contributes <strong>$45,315<\/strong> per year.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">b. Catherine&#8217;s Contribution Percentage:<\/h4>\n\n\n\n<p>Catherine&#8217;s employer contributes <strong>$935 per month<\/strong>, which totals: Annual&nbsp;Employer&nbsp;Contribution=935\u00d712=11220\\text{Annual Employer Contribution} = 935 \\times 12 = 11220<\/p>\n\n\n\n<p>Let the total annual health care cost be <strong>Y<\/strong>. Catherine pays the remaining portion: Catherine\u2019s&nbsp;Contribution=Y\u221211220\\text{Catherine\u2019s Contribution} = Y &#8211; 11220<\/p>\n\n\n\n<p>The percentage Catherine contributes is: (Y\u221211220)Y\u00d7100\\frac{(Y &#8211; 11220)}{Y} \\times 100<\/p>\n\n\n\n<p>Since we do not have the total cost (<strong>Y<\/strong>) explicitly, her percentage contribution depends on that value. If we had the total cost, we could calculate the exact percentage.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Arielle\u2019s health care cost is calculated based on her own salary, where she contributes 5% and her employer covers the rest. Since her total health care cost matches her salary, her employer&#8217;s contribution is significant.<\/p>\n\n\n\n<p>For Catherine, the employer contributes a fixed <strong>$935 per month ($11,220 annually)<\/strong>. To determine her percentage, we need the total health care cost. Her contribution percentage depends on how much more than <strong>$11,220<\/strong> the total cost is.<\/p>\n\n\n\n<p>Would you like to specify a total cost for Catherine&#8217;s plan to get the exact percentage?<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>a. Arielle is an office assistant at Richardson. She makes $47,700 per year. She has individual health care. Her yearly contribution is 5% of the total cost. How much does her employer contribute? b. Catherine is a department manager at Richardson. Her annual salary is $68,300. She has family health care. Her employer contributes $935 [&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-203513","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203513","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=203513"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203513\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=203513"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=203513"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=203513"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}