Answer:
X= 2 and y = 3
Step-by-step explanation:
Answer:
The correct option is, Exponential Decay, $23,914.85.
Step-by-step explanation:
A farmer buys a tractor for $50,000.
It is provided that the the tractor depreciates 10% per year.
The exponential function for decay is:
![y=a\cdot (1-r\%)^{t}](https://tex.z-dn.net/?f=y%3Da%5Ccdot%20%281-r%5C%25%29%5E%7Bt%7D)
Here,
a = initial value
r = decay rate
t = time
Compute the value of the tractor in 7 years as follows:
![y=a\cdot (1-r\%)^{t}](https://tex.z-dn.net/?f=y%3Da%5Ccdot%20%281-r%5C%25%29%5E%7Bt%7D)
![=50000\times (1-0.10)^{7}\\\\=50000\times 0.4782969\\\\=23914.845\\\\\approx 23914.85](https://tex.z-dn.net/?f=%3D50000%5Ctimes%20%281-0.10%29%5E%7B7%7D%5C%5C%5C%5C%3D50000%5Ctimes%200.4782969%5C%5C%5C%5C%3D23914.845%5C%5C%5C%5C%5Capprox%2023914.85)
Thus, the correct option is, Exponential Decay, $23,914.85.
J because this is a quadratic function which is shaped like a u upward
The answer is 96 min, here is why:
x / 240 + x / 160 = 1
<span>2x + 3x = 480 </span>
<span>5x = 480 </span>
<span>x = 96 min
(</span><span>Drainage rate of first pipe = 480000/240 = 2000 l/min </span>
<span>Drainage rate of second tube = 480000/160 = 3000 l/min </span>
<span>Combined drainage rate = 5000 l/min </span>
<span>Time to drain = 480000/5000 = 96 min. )</span>
Answer:
X = 67°
Step-by-step explanation:
The sum of every triangle’s interior angles is 180°. First subtract the given angle, 23°, from 180°. This equals 157°. Next you can see that one of the triangle’s angles has a right angle mark. This mark means it’s a right angle and all right angles are 90°. Take 157° and subtract 90°. This equals 67°. This means the remaining angle equals 67°.