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Lemur [1.5K]
3 years ago
13

A ​used-droid dealership buys a droid for ​$2900 and then sells it for ​$3900. What is the percent​ increase?

Mathematics
1 answer:
rewona [7]3 years ago
6 0

Answer:

The percent increase is 34.48276%

Step-by-step explanation:

we are given

original price =$2900

new price =$3900

now, we can find change in price

change in price = (new price)-(original price)

change in price =3900-2900

change in price =1000

percent increase = (change in price)/(original price) *100

percent increase is

=\frac{1000}{2900}\times 100

=34.48276


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\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\ a_n=n^{th}~value\\
----------\\
\stackrel{least}{a_1}=128\\\\
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\end{cases}

\bf S_n=\cfrac{n}{2}(128~+~172)\implies S_n=\cfrac{n}{2}(300)\implies S_n=150n
\\\\\\
\textit{but we also know that sum of all interior angles is }180(n-2)
\\\\\\
\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n
\\\\\\
180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12
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