Answer:
<em>Math will take over Ana's brain at 4.4 hours</em>
Step-by-step explanation:
<u>Exponential Grow
</u>
The population of the nanobots follows the equation

We must find the value of t such that the population of nanobots is 106 or more, that is

We'll solve the equation

Dividing by 5

Taking logarithms

By logarithms property

Solving for t


Math will take over Ana's brain at 4.4 hours
Answer:
Step-by-step explanation:
<u>Exponential function:</u>
<u>Ordered pairs given:</u>
<u>Substitute x and y values to get below system:</u>
<u>Divide the second equation by the first one and solve for b:</u>
- 80/10 = b³
- b³ = 8
- b = ∛8
- b = 2
<u>Use the first equation and find the value of a:</u>
<u>The function is:</u>
30+6+0.4+0.09+0.005=36.495