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Answer :
we have
[tex]\begin{gathered} Q=38.8(0.829)^t \\ \text{and} \\ Q=a\cdot b^t \end{gathered}[/tex]then:
a = 38.8
b = 0.829
and we have
[tex]\begin{gathered} Q=a\cdot b^t=a(1+r)^t \\ so, \\ b=1+r \\ 0.829=1+r \\ 0.829-1=1+r-1 \\ r=-0.171 \end{gathered}[/tex]r in percentage
[tex]r=0.171\times100=17.1[/tex]r = 17.1%
answer:
a = 38.8
b = 0.829
r = - 0.171
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