{"id":36163,"date":"2024-05-01T18:01:40","date_gmt":"2024-05-01T18:01:40","guid":{"rendered":"https:\/\/www.greatassignmenthelp.com\/questions\/?p=36163"},"modified":"2024-05-01T18:01:40","modified_gmt":"2024-05-01T18:01:40","slug":"15000-at-15-compounded-annually-for-5-years-a-28500-00-b-30170-36","status":"publish","type":"post","link":"https:\/\/www.greatassignmenthelp.com\/questions\/15000-at-15-compounded-annually-for-5-years-a-28500-00-b-30170-36\/","title":{"rendered":"$15,000 at 15% compounded annually for 5 years A. $28,500.00 B. $30,170.36"},"content":{"rendered":"

$15,000 at 15% compounded annually for 5 years<\/strong><\/p>\n

A. $28,500.00<\/p>\n

B. $30,170.36<\/p>\n

C. $17.250.00<\/p>\n

D. $26,250.45<\/p>\n

Answer: B. $30,170.36<\/strong><\/p>\n

To calculate the future value of an investment with compound interest, we use the formula:<\/p>\n

FV=(1+r\/n)^(n \u00d7t) \u00d7 PV<\/p>\n

Where:<\/p>\n

PV is the preliminary investment amount ($15 000).<\/p>\n

r is the nominal rate of interest (bi-annual or semi-annual rate of 15% or 0.15).<\/p>\n

k is the rate at which the interest is compounded per year (1 is for annual rate).<\/p>\n

I would say it is the moment after the 5 years period has passed.<\/p>\n

Substituting the values, we get:<\/p>\n

VF = $15,000 \u00d7 (1+ 0.15\/1)^5.<\/p>\n

FV = 15000 x (1.15)^5.<\/p>\n

FV = $15,000 x 1.5011875.<\/p>\n

FV = $30,170.36<\/p>\n

<\/a> As a result, the ultimate value of the capital of 15 000 invested at 15% compounded per year for 5 years is 30 170.36 dollars.<\/p>\n","protected":false},"excerpt":{"rendered":"

$15,000 at 15% compounded annually for 5 years A. $28,500.00 B. $30,170.36 C. $17.250.00 D. $26,250.45 Answer: B. $30,170.36 To calculate the future value of […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"yoast_head":"\n$15,000 at 15% compounded annually for 5 years A. $28,500.00 B. $30,170.36<\/title>\n<meta name=\"description\" content=\"$15,000 at 15% compounded annually for 5 years A. $28,500.00 B. $30,170.36 C. $17.250.00 D. $26,250.45\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.greatassignmenthelp.com\/questions\/15000-at-15-compounded-annually-for-5-years-a-28500-00-b-30170-36\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"$15,000 at 15% compounded annually for 5 years A. $28,500.00 B. $30,170.36\" \/>\n<meta property=\"og:description\" content=\"$15,000 at 15% compounded annually for 5 years A. $28,500.00 B. $30,170.36 C. $17.250.00 D. $26,250.45\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.greatassignmenthelp.com\/questions\/15000-at-15-compounded-annually-for-5-years-a-28500-00-b-30170-36\/\" \/>\n<meta property=\"og:site_name\" content=\"Questions - 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