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astra-53 [7]
3 years ago
6

-5(3t-5)+7t=8t-6 solve.

Mathematics
1 answer:
saw5 [17]3 years ago
5 0
<span>-5(3t-5)+7t=8t-6
-15t + 25 + 7t = 8t - 6
-15t + 7t - 8t = -6 - 25
-16t = -31
16t = 31
t = 31/16 = 1.9375</span>
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The population size after 6 years and after 8 years are 147 and 169 population respectively

<h3>Exponential functions</h3>

The standard exponential function is expressed as y = ab^x

where

a is the base

x is the exponent

Given the function that represents the population size P (t) of the species as shown;

p(t)=\frac{550}{1+5e^{-0.1t}} \\

For the population size after 6 years

p(t)=\frac{550}{1+5e^{-0.1(6)}} \\P(6)=\frac{550}{3.744}\\ P(6)=147 population

For the population after 8 years

p(t)=\frac{550}{1+5e^{-0.1(8)}} \\P(8)=\frac{550}{3.2466}\\ P(8)=169 population

Hence the population size after 6 years and after 8 years are 147 and 169 population respectively

Learn more on exponential function here: brainly.com/question/2456547

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Step-by-step explanation:

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