Answer:
$10,144.93
Step-by-step explanation:
Amount formula; A = (Principal* rate* time) +Principal
A= (P*r*t) +P
A= 14,000
r= 9.5% OR 0.095 as a decimal
t= 4
Plug the numbers into the formula;
14,000 = (P* 0.095 *4 ) +P
14,000 = 0.38P +P
14,000 = 1.38P
Divide both sides by 1.38 to solve for P;
14,000/1.38 = P
P= 10,144.9275
Therefore, the present value (Principal) = $10,144.93
Answer:
Affects
Step-by-step explanation:
Consider point (2,-1).
1. Reflect it in the line y=x, then the image point will have coordinates (-1,2). Now reflect it in the x-axis, then the image point will have coordinates (-1,-2).
2. Reflect the point (2,-1) in the x-axis. Its image is point (2,1). Reflect this point in the line y=x, then its image will be point (1,2).
Since images in 1st case and 2nd case differ, the order affects the final image.
An example for the distributive property would be 3(1x6)
Answer:

Step-by-step explanation:
We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).
First, recall that the equation of a circle is given by:

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

Solve for <em>r: </em>
<em />
<em />
Simplify. Thus:

Finally, add:

We don't need to take the square root of both sides, as we will have the square it again anyways.
Therefore, our equation is:

2 and 1/2 years = 30 months



The answer is A. $150
Hope this helps.