Differential equations. Your employer automatically puts 10 percent of your salary into a 401(k) retirement account each year. The account earns 8% interest. Suppose you just got the job, your starting salary is $ 40000, and you expect to receive a 3.5% raise each year. For simplicity, assume that interest earned and your raises are given as nominal rates and compound continuously. Find the value of your retirement account after 30 years

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Differential equations. Your employer automatically puts 10 percent of your salary into a 401(k) retirement
account each year. The account earns 8% interest. Suppose you just got the job, your starting salary is $
40000, and you expect to receive a 3.5% raise each year. For simplicity, assume that interest earned and
your raises are given as nominal rates and compound continuously. Find the value of your retirement
account after 30 years
Transcribed Image Text:Differential equations. Your employer automatically puts 10 percent of your salary into a 401(k) retirement account each year. The account earns 8% interest. Suppose you just got the job, your starting salary is $ 40000, and you expect to receive a 3.5% raise each year. For simplicity, assume that interest earned and your raises are given as nominal rates and compound continuously. Find the value of your retirement account after 30 years
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