The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4
To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
![y= \sqrt[5]{Bx+C}](https://tex.z-dn.net/?f=y%3D%20%5Csqrt%5B5%5D%7BBx%2BC%7D%20)
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A^2 + 5^2 = 10^2
a^2 + 25 = 100
a^2 = 100-25
a^2 = 75
a = sqrt(75) = 5sqrt(3)
answer is A
I hope the equation will be 2000=16000(1-r)^t because t is missing in the equation which we need to find.
Given rate: r= 35%= 0.35.
So, first step is to plug in 0.35 for r in the given formula to get the value of t.
Hence, the equation will be:
2000=16000(1-0.35)^t
2000=16000(0.65)^t (By subtraction)
2000/16000= 16000(0.65)^t /16000 (Dividing each sides by 16000)
0.125 = 0.65^t (By simplifying).
log 0.125 = log 0.65^t (Taking log each sides to isolate t).
log 0.125 = t log 0.65 (By applying the log property).
(Dividing each sides by log 0.65)
-0.903/-0.187 =t
t= 4.83
t= 5 ( Rounded to nearest integers)
So, Devon's car is 5 years old.
Answer:
it is a convert from °F to degree Celsius
Step-by-step explanation:
formula : (0°C × 9/5) + 32 = 32°F
degree Celsius (C)=5/9(°F-32)
it is a convert from °F to degree Celsius
