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The present value (PV) of $15,254.24 is the most James bennett can consume in his youth.
<u>Given the following data:</u>
- Inheritance = $3000
- Interest rate = 18%
- 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
The kinetic energy is proportional to the temperature.
<h3>What is the relation between temperature and kinetic energy?</h3>
So first, we know that the kinetic energy of an object is given by:
K = (1/2)*m*v^2
Where v is the velocity and m is the mass.
We know that substances are made of molecules, and these molecules are tiny objects that move. As the temperature increases, you should see that the speed of motion of these particles increases (this is why dilation happens). So, if the velocity increases, then also increases the kinetic energy of the molecules in the substance.
The thermal velocity is approximated by:
Where (k/m) is a constant, now, if you replace that in the kinetic energy equation, you can see that the kinetic energy is proportional to the temperature.
If you want to learn more about temperature, you can read: