This is an equation of exponential decay
y(t) = a b^ t where a is the initial amount
b is the decay factor
t is the time in years
b is found by taking 1 and subtracting the percent it decreases in decimal form
Letting t =4
y(t) = 260 million * ( 1- .011) ^ 4
=248.7473796 million
=24874737.96
Rounding to a whole number
= 24874738
It looks like the differential equation is
Check for exactness:
As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that
*is* exact. If this modified DE is exact, then
We have
Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :
The modified DE,
is now exact:
So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that
Integrate both sides of the first condition with respect to <em>x</em> :
Differentiate both sides of this with respect to <em>y</em> :
Then the general solution to the DE is
Step-by-step explanation:
2x + 7 = 27 OR 3 + 3x = 30.
2x = 27 - 7 OR 3x = 30 - 3
2x = 20 OR 3x = 27
x = 20/2 OR x = 27/3
x = 10 OR x = 9
it is 12
Step-by-step explanation:
Answer:
B
Step-by-step explanation: