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Answer :
The value of r in the exponential decay function 7000 = 20000(1-r)^10 is 10%
How to solve for r as a percentage?
The equation is given as:
7000 = 20000(1-r)^10
The above equation is an exponential decay function.
So, we have:
7000 = 20000(1-r)^10
Divide both sides of the equation by 20000
0.35 = (1-r)^10
Take the 10th root of both sides
0.35^(1/10) = 1 - r
Evaluate the exponent
0.9 = 1 - r
Add r to both sides
0.9 + r = 1
Subtract 0.9 from both sides
r = 1 - 0.9
Evaluate
r = 0.1
Express as percentage
r = 10%
Hence, the value of r in the exponential decay function 7000 = 20000(1-r)^10 is 10%
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