3 years ago

Which step should be completed first to solve the equation ?

Mathematics

1 answer:

Marizza181 [45]3 years ago

4 0

A.

add 12 to both sides the divide 8 by both sides and there is the answer to x

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2 years ago

William just got hired for a new job and will make \$78,000$78,000 in his first year. William was told that he can expect to get

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2 years ago

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A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the

serious [3.7K]

Answer:

The equation is $A=6000e^{-0.23t}$ at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it decays by using t=3 hours and A=3000. This means $A_0=6000$ in this context.

$A=A_0e^{rt}\\3000=6000e^{r(3)}$

$0.5=e^{(24.5)r}$

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r$