with the assumption this is a geometric sequence and thus it as an "r" common ratio, so we know that the 3rd term must be 12 * r and the 4th term must be 12 * r * r, so let's make a quick table
![\begin{array}{rll} term&value\\ \cline{1-2} a_2&12\\ a_3&12\cdot r\\\cline{1-2} a_4&(12\cdot r)r\\ &12r^2\\ &\frac{16}{3}\\\cline{1-2} a_5&12r^3\\ a_6&12r^4\\ a_7&12r^5\\ a_8&12r^6\\ a_9&12r^7 \end{array}\qquad \implies \begin{array}{llll} 12r^2=\cfrac{16}{3}\implies r^2=\cfrac{16}{12\cdot 3}\implies r^2=\cfrac{4}{9}\\\\\\ r=\sqrt{\cfrac{4}{9}}\implies r=\cfrac{\sqrt{4}}{\sqrt{9}}\implies r=\cfrac{2}{3} \end{array} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brll%7D%20term%26value%5C%5C%20%5Ccline%7B1-2%7D%20a_2%2612%5C%5C%20a_3%2612%5Ccdot%20r%5C%5C%5Ccline%7B1-2%7D%20a_4%26%2812%5Ccdot%20r%29r%5C%5C%20%2612r%5E2%5C%5C%20%26%5Cfrac%7B16%7D%7B3%7D%5C%5C%5Ccline%7B1-2%7D%20a_5%2612r%5E3%5C%5C%20a_6%2612r%5E4%5C%5C%20a_7%2612r%5E5%5C%5C%20a_8%2612r%5E6%5C%5C%20a_9%2612r%5E7%20%5Cend%7Barray%7D%5Cqquad%20%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%2012r%5E2%3D%5Ccfrac%7B16%7D%7B3%7D%5Cimplies%20r%5E2%3D%5Ccfrac%7B16%7D%7B12%5Ccdot%203%7D%5Cimplies%20r%5E2%3D%5Ccfrac%7B4%7D%7B9%7D%5C%5C%5C%5C%5C%5C%20r%3D%5Csqrt%7B%5Ccfrac%7B4%7D%7B9%7D%7D%5Cimplies%20r%3D%5Ccfrac%7B%5Csqrt%7B4%7D%7D%7B%5Csqrt%7B9%7D%7D%5Cimplies%20r%3D%5Ccfrac%7B2%7D%7B3%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)

You can use the formula ...
... (percent change) = ((new amount) - (original amount))/(original amount) × 100%
Filling in the given information, this tells you ...
... (percent change) = ($21 -$28)/($28) × 100%
... = (-7/28) × 100%
... (percent change) = -25%
A negative percent change is a decrease, so the change in price is a ...
... 25% decrease
Answer:
$81 of interest would be earned
Step-by-step explanation:
A=prt
A= (900)(0.03)(3)
A = 81
Answer:

<h3>Hence, it will take 12 minutes by the printer to use all 96 sheets of paper.</h3>
Step-by-step explanation:
Given :
Tanya is printing a report.
There are 96 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function

When all the 96 sheets printed , then the number of sheets will left to print =0
Substitute p(t)=0 in the given function, to find the value of t, we get

<h3>Hence, it will take 12 minutes by the printer to use all 96 sheets of paper.</h3>
Answer:
(1) ![g[f(x)]=\frac{8x-1}{12x-4}](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3D%5Cfrac%7B8x-1%7D%7B12x-4%7D)
(2) 
(3) 
Step-by-step explanation:
Given functions f(x) = (4x-1)
are 
(1) ![g[f(x)]=\frac{2(4x-1)+1}{3(4x-1)-1}](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3D%5Cfrac%7B2%284x-1%29%2B1%7D%7B3%284x-1%29-1%7D)


(2) for
, rewrite the function g(x) in terms of an equation

Substitute y in place of x and x in place of y, then solve for y.

(3y-1)x = 2y+1
3xy - x = 2y + 1
3xy - 2y = x + 1
y(3x-2) = x + 1

⇒ 
(3) ![f[g(x)]=(x-1)](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%3D%28x-1%29)
![f[g(x)]=4[\frac{2x+1}{3x-1}] =(x-1)](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%3D4%5B%5Cfrac%7B2x%2B1%7D%7B3x-1%7D%5D%20%3D%28x-1%29)
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