Question

Please help me help help me please help help me

Answer 1

t = 10.27

Step-by-step explanation

Step 1: Given

`500e^(0.0675t)\text{ = 1000}`

Step 2: Divide both sides by 500

`\begin{gathered} (500e^(0.0675t))/(500)\text{ = }(1000)/(500) \\ e^(0.0675t)\text{ = }2 \end{gathered}`

Step 3: Take the natural logarithm of both sides

`\begin{gathered} 0.0675t\text{ = ln 2} \\ 0.0675t\text{ = }0.69314718056 \end{gathered}`

Step 4: Divide both sides by 0.0675

`\begin{gathered} (0.0675t)/(0.0675)\text{ = }(0.69314718056)/(0.0675) \\ t\text{ = 10.268847} \end{gathered}`

Hence, t = 10.27 (rounded to the nearest hundredth).