Answer:

Step-by-step explanation:

Given that:

To evaluate the expression, we must simply substitute the given value of
, which is
, for
:

Multiply:

Subtract:

-
To check your work, simply set the given expression equal to our solution,
:

Add
to both sides of the equation:

Divide both sides of the equation by the coefficient of
, which is
:

Since it matches the given value of
, our solution is correct!
Answer:
Step-by-step explanation:
This is of the form

Where P(t) is the ending population, a is the original population, b is the growth rate, and t is time in years. We have everything we need to solve for t.

Let me explain the growth rate quickly. If the exponential function is a growth function, that means (in this particular situation) that we have 100% of the population and we are increasing it by 19%. That makes the growth rate 119%, which in decimal form is 1.19.
Begin by dividing both sides by 40000 to get

To get that t out of its current exponential position, take the natural log of both sides:

and the rules of logs say we can bring the exponent down out front:
ln(2) = t*ln(1.19)
Divide both sides by ln(1.19) to get t alone:

Doing that calculation on your calculator gives you that
t = 3.9846...
but rounding to the nearest tenth gives you that
t = 4.0 years
Answer:
5/33
Step-by-step explanation:
The answers are
1. 18
2. 1 1/15
<span>(4x - 3y) • (16x2 + 12xy + 9y2)</span>