You can add the numbers together so:
12.6
3.1
<u>+ 5.4
</u> 21.1
<u>
</u>Since the sum of the numbers is 21.1, it is greater than 20<u>
</u>
The graph looks accurate make sure you create a table of values and clearly dot the points at (0,-3) and (2,-3).
The area of the sector is
.. Asector = (1/2)r^2*θ = (1/2)*(8.35 ft)^2*(π*260°/180°) ≈ 158.195 ft^2
The area of the triangle is
.. Atriangle = (1/2)r^2*sin(θ) = (1/2)*(8.35 ft)^2*sin(100°) ≈ 34.332 ft^2
The shaded area is
.. A = Asector +Atriangle
.. = 158.195 ft^2 +34.332 ft^2
.. ≈ 192.5 ft^2
These functions are expressed in the factored form: what this means is that say for the first one y=(x-4)(x-1)(2+x)(3+x) ... when x=4, the first bracket becomes 0. Same for x=1, x=-2, x=-3 ...
If you were to graph this, you would see that the function's line interesects the x-axis at these points... when x=4, when x=1, etc etc.
Thus, take a look at the zeroes of the graph. At which x points do they interscet the x-axis? You can determine the equation of your graph by this.
600 *2*x + 150*4*x = 90
1200x + 600x = 90
1800x = 90
x = 90/1800 = 0.05
x = 5%
Answer: rate of interest = 5%
