Answer:2
Step-by-step explanation: 9+1+2=12
12\3=4
ANSWER : 2
Answer:
Step-by-step explanation:
Give the DE
dy/dx = 1-y
Using variable separable method
dy = (1-y)dx
dx = dy/(1-y)
Integrate both sides
∫dx = ∫dy/(1-y)
∫dy/(1-y)= ∫dx
-ln(1-y) = x+C
ln(1-y)^-1 = x+C
Apply e to both sides
e^ln(1-y)^-1 = e^,(x+C)
(1-y)^-1 = Ce^x
1/(1-y) = Ce^x
Answer:
The function rule is

Step-by-step explanation:
The given ordered pairs are (0,-1), (1,0),(2,3),(3,8),(4,15)
We can observe the following pattern.





When we generalize this pattern, we obtain:

This is the function equation.
The function rule is

Answer:
25306
Step-by-step explanation:
a=starting value = 20000
r=\text{rate = }4\% = 0.04
r=rate = 4%=0.04
\text{Exponential Growth:}
Exponential Growth:
b=1+r=1+0.04=1.04
b=1+r=1+0.04=1.04
\text{Write Exponential Function:}
Write Exponential Function:
y=20000(1.04)^x
y=20000(1.04)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=20000(1.04)^{6}
y=20000(1.04)
6
y= 25306.38037
y=25306.38037