## Answers

Let t be the time it takes to earn $1000 in interest

Interest=1000

Hence,

1000=10000*(1+2.2%)^t-10000

=>1.022^t=1.1

=>t*ln1.022=ln1.1

=>t=ln(1.1)/ln(1.022)

=>t=4.37976315

Hence, it will take 4.37976315 years

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