Answer:
The exact solution is

And the approximation to three decimal places is:
x = 0.363
Step-by-step explanation:
Here we have the equation:

Now we can remember a property of the natural logarithm function:
Ln(a^n) = n*Ln(a)
Now we can apply the Ln( ) function to both sides of that equation to get:

Then we get:

Solving that for x we get:

So the exact solution is:

And the approximation to three decimal places is:
x = 0.363
Answer:
Throw a die
Every number on the die represents one of the 6 prizes
The amount of times you throw the die describes the number of boxes you need.
Step-by-step explanation:
Answer:
No complex roots; 3 real roots
Step-by-step explanation:
If a third order polynomial has any complex roots, then as a rule it has 1 real root and 2 complex roots. In this particular case, the polynomial has three real roots, as can be determined by graphing the function. The graph crosses the x-axis in 3 places.
Answer:
At 6 p.m., the number of cars in a parking lot is 120
Step-by-step explanation:
At 1 p.m., the number of cars in a parking lot is 78.
Given,

Note that

So, 1 p.m. goes for n = 0, then
6 p.m. goes for n = 5
Thus,
