Answer: I do not comprehend
Step-by-step explanation:
Answer:
The value of car after 12 years is $ 2982.92
Solution:
Given that,
A new car is purchased for 17000 dollars
The value of the car depreciates at 13.5% per year
To find: Value of car after 12 years
The decreasing function is given as:
Where,
y is the future value
a is the initial value
r is the decreasing rate in decimal
t is the number of years
From given,
Substituting the values we get,
Thus value of car after 12 years is $ 2982.92
Step-by-step explanation:
Y= 32 if x= 8, 2 times 16 is 32
Answer:
x < -7
Step-by-step explanation:
to isolate x we need to subtract 2 from both sides. -5-2 is -7, so the answer is x < -7
So we can set up a right triangle in this situation with one of the legs being 21.4m and the height being 15m. Then we can use trigonometric formulas to find the angle of elevation of the sun.
Since we have the dimensions for the opposite and the adjacent sides, we can use the trigonometric function tangent to find the angle:
![tan(theta)=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%20tan%28theta%29%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D%20%20)
So let's plug this in:
![tan(theta)=\frac{15}{21.4}](https://tex.z-dn.net/?f=%20tan%28theta%29%3D%5Cfrac%7B15%7D%7B21.4%7D%20%20)
![theta=tan^{-1}(\frac{15}{21.4})](https://tex.z-dn.net/?f=%20theta%3Dtan%5E%7B-1%7D%28%5Cfrac%7B15%7D%7B21.4%7D%29%20%20%20)
![theta=1.18499](https://tex.z-dn.net/?f=%20theta%3D1.18499%20)
However this is in radians - to convert to degrees, we must use the formula:
![Degrees=\frac{180}{\pi} *radians](https://tex.z-dn.net/?f=%20Degrees%3D%5Cfrac%7B180%7D%7B%5Cpi%7D%20%20%2Aradians%20)
So then let's solve for degrees:
![Degrees=\frac{180}{\pi} *1.18499](https://tex.z-dn.net/?f=%20Degrees%3D%5Cfrac%7B180%7D%7B%5Cpi%7D%20%20%2A1.18499%20)
![Degrees=\frac{213.2982}{\pi}](https://tex.z-dn.net/?f=%20Degrees%3D%5Cfrac%7B213.2982%7D%7B%5Cpi%7D%20%20%20)
![Degrees=67.89](https://tex.z-dn.net/?f=%20Degrees%3D67.89%20)
So now we know that the angle of elevation is 67.89°.