Asubstance decays according to a = ae-0.057, where i is in hours and ao is the initial amount. determine the half-life of the substance. round your answer to two
decimal places, if necessary.

12.16 hours

Step-by-step explanation:

I'm going to assume my assumption is right.

You can let me know differently.

We want to know the time, t, such that A will be half it's initial population.

This means we want to solve the following equation for t:

Divide both sides by :

Now we are ready to try to get the variable by itself.

Let's rewrite in the equivalent logarithm form:

Divide both sides by -0.057:

Put left hand side into a calculator:

So the half-life is 12.16.  

This means that the initial population will be brought down to half of the initial population in 12.16 hours approximately.

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

4 candies

step-by-step explanation:

7 x 28 = 196

200 - 196 = 4 candies remaining.