Please help :) this is exponential decay 10 pts

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$50.00 after 0 months and $37.50 after 6 months.We first must calculate half-life using the attached formula.Half-Life = (time * ln(2)) / ln (beginning amount/ending amount)Half-Life = (6 * 0.69314718056) / ln (50.00 / 37.50)Half-Life = ( 4.1588830834 ) / ln ( 1.3333333333 )Half-Life = ( 4.1588830834 ) / 0.28768207245Half-Life = 14.456525038 months Now we need to calculate "lambda"lambda = ln(2) / half-lifelambda = 0.69314718056 / 14.456525038lambda = 0.0479470121 Next we have to use this formula:Ending Amount = beginning amount • e^( -lambda • time )(where "e" is the mathematical constant 2.718281828...)Ending Amount = 50 * 2.718281828^(-0.0479470121*24 months)Ending Amount = 50 * 2.718281828^(-1.1507282904)Ending Amount = 50 * 0.3164062499 Ending Amount = 15.82 dollars **********************************************************************As a DOUBLE-CHECK we can work this out every 6 months: 0 months $50 6 months = $50 - (50 *.25) = 37.5012 months = $37.50 -(37.50 *.25) = 28.12518 months = $28.125 -(28.125 * .25) = 21.09375 24 months = $21.09375 -(21.09375 * .25) = 15.8203125 You'll find this page quite helpful:http://www.1728.org/halflif2.htm Read more on Brainly.com - brainly.com/question/9917873#readmore


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$50.00 after 0 months and $37.50 after 6 months. We first must calculate half-life using the attached formula. Half-Life = (time * ln(2)) / ln (beginning amount/ending amount) Half-Life = (6 * 0.69314718056) / ln (50.00 / 37.50) Half-Life = ( 4.1588830834 ) / ln ( 1.3333333333 ) Half-Life = ( 4.1588830834 ) / 0.28768207245 Half-Life = 14.456525038 months Now we need to calculate "lambda" lambda = ln(2) / half-life lambda = 0.69314718056 / 14.456525038 lambda = 0.0479470121 Next we have to use this formula: Ending Amount = beginning amount • e^( -lambda • time ) (where "e" is the mathematical constant 2.718281828...) Ending Amount = 50 * 2.718281828^(-0.0479470121*24 months) Ending Amount = 50 * 2.718281828^(-1.1507282904) Ending Amount = 50 * 0.3164062499 Ending Amount = 15.82 dollars ********************************************************************** As a DOUBLE-CHECK we can work this out every 6 months: 0 months $50 6 months = $50 - (50 *.25) = 37.50 12 months = $37.50 -(37.50 *.25) = 28.125 18 months = $28.125 -(28.125 * .25) = 21.09375 24 months = $21.09375 -(21.09375 * .25) = 15.8203125 You'll find this page quite helpful: http://www.1728.org/halflif2.htm


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