Answer:
4
Step-by-step explanation:
in base 4
21 = (2 * 4) + (1 * 1) = 9
Answer:
Step-by-step explanation:
its c
Answer:
(8, -9), (11, -9)
Step-by-step explanation:
The points (5, 7) and (7, 7) are on a horizontal line in which the y-coordinates of all points are 7. The line has equation y = 7.
For a line to not intersect the line y = 7, it must be parallel to y = 7.
The answer is the pair of points which both have the same y-coordinate, and that y-coordinate is not 7.
From the choices you added to your comments, the only choice with two points with the same y-coordinate is (8, -9) and (11, -9). This is the answer.
Answer: (8, -9), (11, -9)
Answer: 139°
Reasoning:
Angle 3 and 5 are congruent, so you can put their expressions equal to each other and solve.
14x-1=9x+14
To isolate the x to one side, subtract the 9x from the 14x.
5x-1=14
Now to get the constants on one side, add the 1 to the 14.
5x=15
Now divide both sides by 5 to isolate the x.
5x/5=15/5
x=3
Now that we know that, we can figure out angle 3.
9(3)+14
27+14= 41
Angle 3 = 41°
Now that we know what angle 3 is, we can subtract it from 180° to figure out angle 8 since angle 3 and 8 are supplemtary angles, aka linear pairs.
180°- 41°= 139°
<h3>Double checking your answer:</h3>
41°+139°=180°
Base on my calculations, the answer is not in the choices given. First, we have to acknowledge that the interest rate given is not the effective interest rate instead it is called the nominal interest rate therefore we have to convert it first to an effective interest rate. We use the following formula:
Effective Interest rate = [[1 + (r/m)]^m] - 1 where r is the nominal interest rate and m is the number of compounding times
For this case, m is equal to 2 since it is compounded semianually.
Effective Interest rate = [[1 + (.12/2)]^2] - 1 = .1236
We then use the calculated effective interest rate to the formula for the Compound Interest Rate Formula.
Future Value = Present Value (1 + Effective interest rate)^(no. of years)Future Value = 3000 (1 + .1236)^( 3) = 4255.56 dollars
