Farrah bought a new car in 2016 one year later the car had depreciated in value by 2300 and was worth $20,140 find the value of
1 answer:
Answer:
Farrah purchased the car in 2016 at the price of $22,440.
Step-by-step explanation:
Given:
Cost of the car in 2017 = $20,140
Depreciation in the cost after 2016 was = $2300
To find cost of the car in 2016.
Solution:
Let cost of the car in dollars in 2016 be =
Depreciation in value after a year was by = $2300
Thus, cost of car in dollars in 2017 will be =
Given cost of car in 2017 = $20,140
So, we have:
Solving for
Adding 2300 both sides.
∴
Thus, cost of the car in 2016 was = $22,440
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Answer:
The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)
Step-by-step explanation:
The cosine function equation is given as follows h = d + a·cos(b(x - c))
Where:
= Amplitude
2·π/b = The period
c = The phase shift
d = The vertical shift
h = Height of the function
x = The time duration of motion of the wave, t
The given data are;
The amplitude = 2 feet
Time for the wave to pass the dock
The number of times the wave passes a point in each cycle = 2 times
Therefore;
The time for each complete cycle = 2 × 30 seconds = 60 seconds
The time for each complete cycle = Period = 2·π/b = 60
b = π/30 =
Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have
h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)
The cosine function is h = 2·cos((π/30)·t).
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Given two paralles lines, the following is true:
In our question, we have:
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