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DanielleElmas [232]
3 years ago
5

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

ate of increase or decrease.y=69(0.92)
x
Mathematics
1 answer:
Alla [95]3 years ago
6 0

9514 1404 393

Answer:

  decay; 8% decrease per time period

Step-by-step explanation:

The growth factor is the base of the exponential term. The growth rate is 1 less.

  growth rate = 0.92 -1 = -0.08 = -8%

When the growth rate is negative, it is exponential decay withe the amount of decrease equal to the magnitude of the rate.

A growth rate of -8% represents exponential decay, with a decrease of 8% per time period.

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WILL GIVE BEST RESPONSE
tino4ka555 [31]
We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1, 
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<span>
</span>
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