Question

Solve: 22,440=6,200e^0.06T 22,440=6,200e^0.1T

Answer 1

Answer:

$22440=6200e^{0.06T}$

$\implies \dfrac{561}{155}=e^{0.06T}$

$\implies \ln\dfrac{561}{155}=\ln e^{0.06T}$

$\implies \ln\dfrac{561}{155}=0.06T$

$\implies T=\dfrac{50}{3}\ln\dfrac{561}{155}$

$\implies T=21.43826314...$

$22440=6200e^{0.1T}$

$\implies \dfrac{561}{155}=e^{0.1T}$

$\implies \ln\dfrac{561}{155}=\ln e^{0.1T}$

$\implies \ln\dfrac{561}{155}=0.1T$

$\implies T=10\ln\dfrac{561}{155}$

$\implies T=12.86295789...$