Volume: 1000 cubic inches (a^3=V -----> 10^3=V ----> V=1000)
42 inches to mm= 1041.4 mm (multiply inch value (42) by 25.4 for mm)
231 cm to mm= 2310 mm (231*10)
5 ft to inches = 5*12 = 60 inches
The present value (PV) of $15,254.24 is the most James bennett can consume in his youth.
<u>Given the following data:</u>
- Investment opportunity (youth) = $12,000
- Investment opportunity (old age) = $15,000
To calculate the most James bennett can consume in his youth:
First of all, we would determine the future value of James bennett from his investment and inheritance as follows:

FV = $18000
Mathematically, the most James bennett can consume in his youth is given by this formula:

Substituting the given parameters into the formula, we have;

PV = $15,254.24
Therefore, the present value (PV) of $15,254.24 is the most James bennett can consume in his youth.
Read more on present value here: brainly.com/question/24341207
Answer: {y∈R: y≤6} or [6,∞)
Explanation:
This problem doesn't require too much math. If you look at the equation given, you can see that it is a quadratic equation in the form of
. Since this is a quadratic equation, we have an idea of that the graph would look like. It either curves up or down. Since this is a positive equation,
, we know that this is going to curve up. In order to find the minimum of the curve, you would use
.

This means the x value of the parabola is -2. To find the y, you plug -2 into the original equation.


Now that we know the y value of the minimum/vertex is 6, and it is determined that the parabola curves up, the range is y≤6 because the range starts at 6 and goes off toward infinity.