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Business Math
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Calculating Interest Rates
SCREE LEA
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Standards BCS-LEB-14: The student identifies the elements needed to develop a financial plan and to obtain business financing.
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Agenda Bell Ringer: Scholarship Screenleap College Credit Now Recap
Essential Questions Assessment
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Essential Questions How do businesses use math everyday?
How can technology be use to mathematically predict success or failure?
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Scholarships Shell Oil Company Technical Scholarship Program
$2,500-$5,000 Engineering/Math
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Bell Ringer What’s better simple or compound interest if you are an investor? Why?
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Interest Payments Borrowing money to start your business
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How do bank make money? They receive interest from lending money
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Definition Principal? Amount of $ borrowed Rate of Interest
% of that is the basis for interest paid/earned Term Number of YR/MON the agreement is for
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You still owe $100,000 or you collateral will be confiscated?
Example You still owe $100,000 or you collateral will be confiscated? Principal $100,000 Interest Rate of 9.5% 5 Year Term SIMPLE INTEREST How much interest would you pay per year? How much at the end of the term? $100,000 x = $9,500/yr $9,500 x 5 = $47,500
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Confiscated Example Karate vs Rich Lady
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When borrowing $, lower interest rates are better
Problem #2 When borrowing $, lower interest rates are better Principal $40,000 Interest Rate of 5% 10 Year Term SIMPLE INTEREST How much interest would you pay per year? How much at the end of the term? $40,000 x 0.05 = $2,000/yr $2,000 x 10 = $20,000
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Calculating Interest Interest is usually calculated daily
Not Annually 2 types of Interest calculation Exact Interest Method Ordinary Interest Method
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Exact Interest 365 Days Bank, US Govt, Businesses $100K, 5%, 55 days
Principal x Rate X Days = Interest Owed 365 $100,000 x 0.05 X 55 = $753.42 365
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Ordinary Interest 360 Days Banker’s Interest $100K, 5%, 55 days
Principal x Rate X Days = Interest Owed 360 $100,000 x 0.05 X 55 = $763.89 360
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Markups & Markdowns Markup Markdown
Amount added to cost price to determine the sales price. Markdown Amount deducted from the retail price to determine the sales price.
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Cost x Rate X Markup % = Markup
Calculating Markups You sell shirts Cost you$20.00 Need a 35% markup to be profitable How much to you sell the shirt for? Cost x Rate X Markup % = Markup $20.00 x 0.35 = $7.00 $ = $27.00
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Easier Calculating Markups
Cost x Rate X Markup % = Markup Vs. Add 1 $20.00 x 0.35 = $7.00 $20.00 x 7.00 = $27.00 $ = $27.00
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Calculating Markdown Regular Price: $149.95 Reduced Price: $99.95
What’s the markdown %? Original Price – Sale Price = Difference $ – = $50.00 Difference/Original Price = Markdown % $50.00/$ = .33 or 33%
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Calculating Markups You sell hats Cost you $14.00
Need a 40% markup to be profitable How much to you sell the hat for? $14.00 x 1.4 = $19.60
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Practice Calculating Markdown
Regular Price: $265.95 Reduced Price: $150.95 What’s the markdown %? Original Price – Sale Price = Difference $ – = $115.00 Difference/Original Price = Markdown % $115.00/$ = .43 or 43%
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Discounts & Due Dates
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Original Price X Discount % = Discount
Question What’s a discount? Reduction in the price How is discount calculated? Like a Markup Discount is the same thing as markdown Original Price X Discount % = Discount $20.00 x 0.35 = $7.00
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Due Dates Due Date? Same date at final day of month Date Money is due
Borrowed Nov 15th 4 month note March 15th
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Due Date: Last day of Month
Due last day of month owed 4 month Note Issued December 31st April 30th
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Due Date: In Days Count forward…or Subtract
90 day Note issued May 20th 90 days -11 days 79 days -30 days 49 days -31 days 18 days Length of Note May Days left is May Days left is June June July Days left is July August 18 due day
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Last Day for Discount Business sometimes give discount to customers to pay invoices early Ex. 2/10, net 30 Translation: bill is due in 30 days 2% off if paid in 10 days Or pay full amount in 30 3/15, net 30
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