Question

Solve:
22,440=6,200e^0.06T

22,440=6,200e^0.1T

Answer 1

`22440=6200e^(0.06T)`

`\implies (561)/(155)=e^(0.06T)`

`\implies \ln(561)/(155)=\ln e^(0.06T)`

`\implies \ln(561)/(155)=0.06T`

`\implies T=(50)/(3)\ln(561)/(155)`

`\implies T=21.43826314...`

`22440=6200e^(0.1T)`

`\implies (561)/(155)=e^(0.1T)`

`\implies \ln(561)/(155)=\ln e^(0.1T)`

`\implies \ln(561)/(155)=0.1T`

`\implies T=10\ln(561)/(155)`

`\implies T=12.86295789...`