Today at 1:06 PM
Mathematics

Answered

500= 100e^(0.04t)

A. t= 25ln(5)
B. t= 25log(5)
C. t= 25ln(400)
D. t= 25log(400)

Answer :

kudzordzifrancis kudzordzifrancis

Today at 1:11 PM

Answer:

A. [tex]t=25\ln(5)[/tex]

Step-by-step explanation:

We want to solve for t in [tex]500=100e^{0.04t}[/tex]

Divide through by 100

[tex]5=e^{0.04t}[/tex]

Take natural logarithm of both sides

[tex]\ln(5)=\ln(e^{0.04t})[/tex]

This simplifies to: [tex]\ln(5)=0.04t[/tex]

Divide both sides by 0.04

[tex]\frac{\ln(5)}{0.04}=t[/tex]

[tex]t=25\ln(5)[/tex]

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