Answer:

Step-by-step explanation:
The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:


The numerical value of the slope is:

The component of the y-axis is:

Now, the tangent line has the following mathematical model:

The value of the intercept is found by isolating it within the equation and replacing all known variables:


Thus, the tangent line is:

The vertical distance between a point of the tangent line and the origin is given by the intercept.

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:




The area of the triangle is computed by this formula:



The sum of the angles in a pentagon is 540°.
This means that each angle is 108°.
Inside you pentagon, a triangle is drawn. This triangle is isosceles, because the corners are on the points of the regular pentagon. You know that angle C is 108°.
Angles in a triangle add up to 180°.
B and D will be the same size as this is isosceles.
180°-108° = 72°
This is B and D. You only need one of these, so you divide by 2.
The answer is 36°.
Hope this helps :)
F=5.77X10^9(1.032^(y-1985)), we want to know when this is:
2.2X10^12=5.77X10^9(1.032^(y-1985))
381.2825=1.032^(y-1985)
ln(3,812825)=(y-1985)ln(1.032)
ln(3.812825)/ln(1.032)=y-1985
y=1985+ln(3.812825)/ln(1.032)
y≈2027.5
So GDP will reach 2.2 trillion during the year 2027.
So
I=P⋅i⋅t=Ii⋅t=50000.04⋅6=20833.33
The given matrix represent the following linear system
4x - 7y = -12
-14x + 4y = 4
Good luck!!!