Drew invests $4000 at 6% for 5 years. How much interest does Drew earn? Remember the formula for simple interest is I=prt.
1 answer:
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Hi there!
**Recall that tangent is Opposite / Adjacent**
tan (5π / 6) according to the unit circle equals -1 / √3. We can go through each choice and eliminate:
- tan (-5π / 6) is in the third quadrant which would mean that the value would be positive 1 / √3. This choice is incorrect.
- tan (7π / 6) is the same as tan (-5π / 6), which is positive 1 / √3. This choice is incorrect.
- cot (5π / 6) is the reciprocal of tan 5π / 6, which is incorrect.
- tan (-π / 6) is equal to -1 / √3. This choice is correct.
Therefore, the correct choice is tan (-π / 6).
Answer:
Step-by-step explanation:
Graph of the given piecewise function will show the three straight lines,
f(x) = 2 If 2 < x ≤ 4
x + 3 If 4 < x < 8
2x If x ≥ 8
1). f(x) = 2 will be a straight line parallel to x-axis for 2 < x ≤ 4
2). f(x) = x + 3 is a straight line with input output points in the interval 4 < x < 8
x 4 5 6 7 8
f(x) Not defined 8 9 10 Not defined
3). f(x) = 2x
x 8 9 10 11
f(x) 16 18 20 22
By using these points on a graphing calculator we can graph the piecewise function as attached.
