Answer:
- f(x) should be reflected across the y-axis
- f(x) should be horizontally translated
Step-by-step explanation:
We imagine Jenessa's elevation plots might look like those in the attachment. The red graph would be of f(x) when preparing for the race, and the green graph would be f(x) during the race.
The green graph is not a simple reflection or translation of the red graph, but is a combination of both. Thus, the two answer choices shown above are both applicable.
<h3>x = 60</h3><h3>y = 60</h3>
x° + 2y° = 180° ⇒ 2y° = 180° - x°
x° = 60° {three sides of the same lengh, means three angles=60°}
2y° = 180° - 60°
2y° = 120°
y° = 60°
Answer:
43
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Step-by-step explanation:
Answer:
46
Step-by-step explanation:
Segment WX = 23 by the 30 60 90 triangle theorem which states that the longer leg is sqrt3 times the length of the shorter leg.
Segment XY = 26 by the 30 60 90 triangle theorem that states the hypotenuse is twice the length of the shorter leg
Answer:
Present value = $4,122.4
Accumulated amount = $4,742
Step-by-step explanation:
Data provided in the question:
Amount at the Start of money flow = $1,000
Increase in amount is exponentially at the rate of 5% per year
Time = 4 years
Interest rate = 3.5% compounded continuously
Now,
Accumulated Value of the money flow = 
The present value of the money flow = 
= 
= ![1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4](https://tex.z-dn.net/?f=1000%5Cleft%20%5B%5Cfrac%7Be%5E%7B0.015t%7D%7D%7B0.015%7D%20%5Cright%20%5D_0%5E4)
= ![1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]](https://tex.z-dn.net/?f=1000%5Ctimes%5Cleft%20%5B%5Cfrac%7Be%5E%7B0.015%284%29%7D%7D%7B0.015%7D%20-%5Cfrac%7Be%5E%7B0.015%280%29%7D%7D%7B0.015%7D%20%5Cright%5D)
= 1000 × [70.7891 - 66.6667]
= $4,122.4
Accumulated interest = 
= 
= $4,742
