The first term of a sequence is 3 and the common ratio is 3. The sequence is:

Mathematics

1 answer:

Zepler [3.9K]3 years ago

8 0

Answer:

Step-by-step explanation:

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$A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}$

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All we have to do is multiply them by each other accept we change the percent into a decimal.
65% = 0.65
soooo
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answer? =42.25
i hope this was helps:)
and don't forget 2
MARK ME BRAINLIEST! :D

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