The equation for exponential decay is given as y = a(1 - r)^x.
<u>Explanation:</u>
The formula for original exponential decay is y = ab^x.
The growth rate (r) is determined as b = 1 + r.
The decay rate (r) is determined as b = 1 - r.
y = ab^x (Where b = 1 - r)
y = a(1-r)^x
a represents the initial value
r represents growth or decay rate
x represents the number of time intervals that have passed.
<em>For example</em>
The population of Home Town is 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%.
The equation for decay factor y = 35000(1 - 0.024)^x
y = 35000(0.976). (where x = 1)
Answer:
Step-by-step explanation:
y-3=1/2(x-0)=1/2 x
2y-6=x
2y-x=6
Distribute 1/2 to <span>(n – 4):
</span>


<span>
Subtract (2n + 3):
</span>

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Your equation should now look like this:
</span>

<span>
Combine like terms on both sides:
</span>



<span>
Subtract 1/2n from both sides:
</span>

<span>
Divide both sides by -5/2 to get n by itself:
</span>

<span>
The value of n is
2.</span>
Answer:
the object will fall 792 feet in 17 seconds
Step-by-step explanation:
first you can do 144 multiplied by 5 because that would be 15 of those seconds next you would do 144 divided by 2 because you only need 2 seconds to reach 17 your answer would be 72 then you would do 720+72=792 so it would fall 792ft in 17 seconds