2 years ago

Find the percent increase. From 32 teachers to 45 teachers.

Mathematics

1 answer:

qaws [65]2 years ago

4 0

Answer:

71.1

Step-by-step explanation:

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Find the sum of a finite geometric sequence from n=1 to n=8, using the expression -2(3)^n-1

MissTica

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}
\end{cases}
\\\\\\
\sum\limits_{n=1}^{8}~-2(3)^{n-1}~~
\begin{cases}
n=8\\
a_1=-2\\
r=3
\end{cases}\implies S_8=-2\left( \cfrac{1-3^8}{1-3} \right)
\\\\\\
S_8=\underline{-2}\left( \cfrac{1-6561}{\underline{-2}} \right)\implies s_8=1-6561\implies S_8=-6560$

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3 years ago

Jeanie wants to hang a circular mirror in a frame in her front wall. Determine the area of the largest mirror Jeanie can han if

AnnyKZ [126]

56=2(pi)(r)
r=8.9127
pi(8.9127)^2=249.56cm^2
≈245cm^2 (3s.f.)

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3 years ago

How many 1-ft square tiles would it take to cover the room of a square room that is 27 ft on each side?

monitta

Answer:

729 tiles

Step-by-step explanation:

27 x 27 = 729

729 /1 =729

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Step-by-step explanation:

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Step-by-step explanation:

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