Answer:
B
Step-by-step explanation:
Our equation is as follows, B(c)=1000(1+r)^3. We are being asked to manipulate the equation and have it be r equals in order to solve for an interest rate when given a balance B. To solve the equation for the variable r, we must isolate r by completing order of operations or PEMDAS backwards.
SADMEP allows us to undo subtraction, addition, and etc in the correct order. We have no subtraction or addition outside of more complex operations. So we move to multiplication or division.
We divide both sides by 1000.
We simplify the right side.
We need to now undo the exponent of 3 by using the inverse, a cube root.
![\sqrt[3]{\frac{B}{1000}} =\sqrt[3]{(1+r)^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7BB%7D%7B1000%7D%7D%20%3D%5Csqrt%5B3%5D%7B%281%2Br%29%5E%7B3%7D%7D)
We simplify the right side.
![\sqrt[3]{\frac{B}{1000}} =(1+r)](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7BB%7D%7B1000%7D%7D%20%3D%281%2Br%29)
We subtract 1 to both sides to get r alone.
![-1+\sqrt[3]{\frac{B}{1000}} =r](https://tex.z-dn.net/?f=-1%2B%5Csqrt%5B3%5D%7B%5Cfrac%7BB%7D%7B1000%7D%7D%20%3Dr)
For our last step, we simplify the denominator of the root because 10*10*10=1000.
![-1+\frac{\sqrt[3]{b} }{10} =r](https://tex.z-dn.net/?f=-1%2B%5Cfrac%7B%5Csqrt%5B3%5D%7Bb%7D%20%7D%7B10%7D%20%3Dr)
This is answer choice b.
<h3>
Answer: Choice A) </h3>
No, the piecewise graph is NOT a function because it does NOT pass the vertical line test.
The vertical line test is where we try to pass a line through more than one point on the curve. If it is not possible to do this, then the graph is said to "pass the vertical line test".
In this case, the given graph fails the vertical line test. Look at something like x = -2. We can draw a vertical line through here to pass through more than one point. One point is on the upside-down V shape, and the other point is on the parabolic shape. Plugging x = -2 into this leads to more than one y outputs.
A function is only possible if any valid x input (from the domain) leads to exactly one output y value (in the range).
Answer:
40 degrees
Step-by-step explanation:
2x + 3x + 2x + x + 10 + 30 = 360
Combine like terms
8x + 40 = 360
8x = 360 - 40
8x = 320
x = 320/8
x = 40
40 degrees
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