X + 1/4x = 15
4/4x + 1/4x = 15
5/4x = 15
5x = 60
x = 12
Answer:
Annual rate of interest will be 132.876 %
Step-by-step explanation:
We have given amount which he has to pay A = $611.03
He does a monthly payment of $26.17
So principle amount P = $26.17
Time = 2.5 years
As payment is done monthly so time period = 12×2.5 = 30 periods
Future amount is given by
%
So annual rate will be 11.07×12 = 132.876%
Annual rate of interest will be 132.876 %
Answer:
The geometric mean between each pair of numbers √49 and√841 is √203.
Step-by-step explanation:
We find the geometric mean between two numbers by using the formula, Assume a and b are two numbers,
G = √a×b
Then we will put our numbers in this formula and get our answer:
First, √49 = 7 and √841 = 29
G = √7×29
G = √203.
Now, we can also write it in the decimal form.
Answer:
90°
Step-by-step explanation:
The angle between the vectors can be found any of several ways. Here, we observe that the segments from the origin to the two points are at right angles to each other. (Their slopes are opposite reciprocals.) Hence the angle between the vectors is 90°.
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The slope to point 'a' is y/x = 2/1 = 2.
The slope to point 'b' is y/x = (-1/2)/1 = -1/2.
The product of these slopes is (2)(-1/2) = -1, indicating the vectors are perpendicular. The angle between them is 90°.
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We can also use the trig formula for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangents are the slopes, calculated above, so we have ...
tan(α -β) = (2 -(-1/2))/(1 +(2)(-1/2)) = (5/2)/0 = <em>undefined</em>
The tangent is <em>undefined</em> for angles that are odd multiples of 90°. The angle between the vectors is 90°.