2000x1.09%=2180
1.09 is 100% + 9 % which totals the interest
Answer:
f means you have a function rule. f(4) is the y-value corresponding to x = 4. ------ Example: If f(x) = 2x + 3.
Step-by-step explanation:
Answer:
or 2.738
Step-by-step explanation:
Let’s just look at the triangle on the top with the
on the top and x on the bottom. (Basically the top half to the equilateral triangle)
There is a small square in the bottom right corner, which indicates that this triangle is a right triangle. This means that we can use the Pythagorean Theorem: ![a^{2} +b^{2} =c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%3Dc%5E%7B2%7D)
We know that \sqrt{10} is our hypotenuse, and therefore our c in our equation. Let’s say that x=a in our equation. Therefore we are left to find b. However, b is half the length of the side of the original equilateral triangle. An equilateral triangle means that all three sides are the same length. Therefore our side would also be \sqrt{10} units long. However we know that b is half of that value, so b=
or ![\frac{\sqrt{10} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B10%7D%20%7D%7B2%7D)
Plugging these values into the equation:
x^2+ (\frac{\sqrt{10} }{2})^{2}=\sqrt{10} ^{2}
![x^{2}=\sqrt{10} ^{2}-\frac{\sqrt{10} }{2} ^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%3D%5Csqrt%7B10%7D%20%5E%7B2%7D-%5Cfrac%7B%5Csqrt%7B10%7D%20%7D%7B2%7D%20%5E%7B2%7D)
![x^{2} =10-\frac{10}{4}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D10-%5Cfrac%7B10%7D%7B4%7D)
![x^{2} =\frac{15}{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%5Cfrac%7B15%7D%7B2%7D)
![x=\sqrt{\frac{15}{2} }](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B%5Cfrac%7B15%7D%7B2%7D%20%7D)
This approximately equals 2.738
Answer:
Step-by-step explanation:
2a + 3 - 4a + 8 = 7
-2a + 11 = 7
-2a = -4
a = 2