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.
We simplify the right side.
We subtract 1 to both sides to get r alone.
For our last step, we simplify the denominator of the root because 10*10*10=1000.
This is answer choice b.
Answer:
- domain: [1, 2) ∪ (2, 4) ∪ (4, 6]
- range: [1, 3) ∪ (3, 5) ∪ (5, 6]
Step-by-step explanation:
The open circles identify points where the function is <em>not defined</em>. They are excluded from both the domain and the range.
The domain is the horizontal extent of the function. This function is defined on the interval [1, 6], except at points x=2 and x=4, so those values need to be excluded from the domain.
The range is the vertical extent of the function. This function is defined between y=1 and y=6, excluding values y=3 and y=5. Those y-values will be excluded from the range.
In the interval notation used above, the curved bracket means the value is excluded. All values up (or down) to that are included, but that one is not. The square bracket means the end value is included in the interval.
Rule: whatever you do to the left side, you must do on the right side. This means when you minus 80 on the left, you must minus 80 on the right as this continues to equate the two sides.
Answer:
2+2k
Step-by-step explanation:
Multiply out the brackets