Answer:
FV= $4,725.74
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $2,000
Number of periods (n)= 15 years
Interest rate (i)= 5.9% = 0.059
<u>To calculate the Future Value, we need to use the following formula:</u>
<u></u>
FV= PV*(1 + i)^n
FV= 2,000*(1.059^15)
FV= $4,725.74
There's no such thing as the "length"of an angle.
But we know what you're getting at.
You have said that the angles are complementary. If two angles are
complementary, then their sum is 90 degrees, so we can take your
two angles and write:
<u>x</u> (one angle) plus <u>(2x + 12)</u> (the other one) <u>= 90 degrees
</u><u /> x + 2x + 12 = 90<u>
</u>Subtract 12 from each side: x + 2x = 78
Add the x's on the left side: 3x = 78
Divide each side by 3 : x = 26 degrees
One angle is 'x' = <em>26 degrees</em>
The other one is (2x + 12) = 52+12 = <em>64 degrees</em>
22. If you add a number to a series of data, and it doesn't change the mean, that number MUST equal the mean. Try adding the mean number into it, hopefully it doesn't change the mode or median either.
23. Basically I think (can't quite read all the question!) just work out the circumference of a circle with radius 20 feet (urgh imperial), ie 2*pi*r so 40pi.
D- The new graph would be steeper than the original graph, and the y- intercept would shift up 3 units.
The purple line is y=-5x + 2
The pink line is y = -7x + 5
ANSWER
The greatest common factor is

EXPLANATION
We want to find the greatest common factor of

and

The prime factorizations are;

and

The product of the least powers of the common factors is the greatest common factor.