Answer:
The monthly payment will be $531.12
Step-by-step explanation:
Consider the provided information.
After paying $5,000 down payment you need to pay:
$29,000-$5,000=$24,000
APR is 2.99% or APR = 0.299%
Therefore, 
n = 48
We can calculate the monthly payment by using the formula:

Where P is the monthly payment, PV is the present value, r is the rate per period and n is the number of period.
Substitute the respective values in the above formula we get,



Hence, the monthly payment will be $531.12
Answer:
maximum difference of radii =
Step-by-step explanation:
We know that area of circle is given by

For circle with radius 'r' we have

For circle with radius 'R' we have

Now according to given condition we have


Thus maximum difference of radii =
First lets get 3% into decimal form.
3% is 3/100 = 0.03
Now multiply 0.03 by 47000 to get how much extra money she was going to get.
47000 * 0.03 = 1410
Now we just add
47000 + 1410 = 48410 is what she was going to make in 2012
Another way to do this is
(47000)(1+0.03) = 48410
you would use (1+0.03) which tells you she increased in pay.
Answer:
The amount of thermal energy that is generated is 1000 joules.
Step-by-step explanation:
Let consider the person diving into a pool as a closed system, that is, a system with only energy interaction with the surroundings. According to the First Law of Thermodynamics, which is a generalization of the Principle of Energy Conservation, the total energy of the system is neither destroyed, nor created, only transformed. The initial gravitational potential energy is transformed into translational kinetic and thermal energy. That is to say:

Where:
- Gravitational potential energy, measured in joules.
- Translational kinetic energy, measured in joules.
- Thermal energy, measured in joules.
The thermal energy is now cleared:

Given that
and
, the amount of thermal energy that is generated is:


The amount of thermal energy that is generated is 1000 joules.
The right answer is:
<em>area B = area C</em>
We can solve this problem by using Kepler's laws of planetary motion. There are three Kepler's laws. In this exercise, we need to use the second law. According to this law,<em> a line segment joining a planet and the sun sweeps out equals areas during equals intervals of time. </em>So, a certain planet sweeps out an <em>area B </em>from the point <em>P3 </em>to <em>P4</em> in an interval of time <em>t. </em>On the other hand, for the same interval of time <em>t, </em>the planet sweeps out an <em>area C </em>from point <em>P4</em> to <em>P5, </em>that is equal to the previous area according to second kepler's law.