Answer:
n= 11.65 years
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $33,000
Future Value (FV)= $15,000
Decrease rate (d)= 7%
<u>To calculate the number of years it will take to reach $15,000; we need to use the following formula:</u>
<u></u>
n= ln(FV/PV) / ln(1+d)
n= ln(15,000/33,000) / ln(1.07)
n= 11.65 years
This is an obtuse triangle because one angle of it is greater than 90 degrees :)
Answer:
The angles of a parallelogram are 135°-45°-135°-45°
Step-by-step explanation:
we know that
In a parallelogram opposites angles are congruent and consecutive angles are supplementary
Remember that
The sum of a exterior angle and its interior angle is equal to 180 degrees
Let
x ----> the measure of one interior angle of parallelogram
y ----> the measure of the other interior angle of parallelogram
we have that
solve for x

<em>Find the measure of the other interior angle of parallelogram</em>
Remember that consecutive interior angles are supplementary

substitute the value of x

solve for y

therefore
The angles of a parallelogram are 135°-45°-135°-45°
100 degrees - all angle measurements in a triangle will add up to 180 degrees (45+55 = 100, 180-100 = 80)
Pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2