lolzskott
Answered

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

22,440=6,200e^0.1T

Sagot :

semsee45

Answer:

[tex]22440=6200e^{0.06T}[/tex]

[tex]\implies \dfrac{561}{155}=e^{0.06T}[/tex]

[tex]\implies \ln\dfrac{561}{155}=\ln e^{0.06T}[/tex]

[tex]\implies \ln\dfrac{561}{155}=0.06T[/tex]

[tex]\implies T=\dfrac{50}{3}\ln\dfrac{561}{155}[/tex]

[tex]\implies T=21.43826314...[/tex]

[tex]22440=6200e^{0.1T}[/tex]

[tex]\implies \dfrac{561}{155}=e^{0.1T}[/tex]

[tex]\implies \ln\dfrac{561}{155}=\ln e^{0.1T}[/tex]

[tex]\implies \ln\dfrac{561}{155}=0.1T[/tex]

[tex]\implies T=10\ln\dfrac{561}{155}[/tex]

[tex]\implies T=12.86295789...[/tex]

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