The balance was $4400.25 before 4 years.
<h3>What is an Equation?</h3>
An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in the determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, and quadratic equations.
The balance of an investment account is $308.32
Let the balance 4 years ago was $x
Then the balance today is represented by x + 308.32
The current balance is $4708.57
The expressions can be equated to get the value of the balance 4 years ago.
x + 308.32 = 4708.57
x = 4708.57 - 308.32
x = $4400.25
The balance 4 years ago was $4400.25
To know more about Equation
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the distance form X to Y is clearly -6 to 0 is 6 units, and 0 to 8 is 8 units, so 6 + 8 = 14 units.
now, for XZ and ZY we can simply use as stated, the distance formula to get those and then add them all to get the perimeter.
![\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ X(\stackrel{x_1}{-6}~,~\stackrel{y_1}{2})\qquad Z(\stackrel{x_2}{5}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ XZ=\sqrt{[5-(-6)]^2+[8-2]^2}\implies XZ=\sqrt{(5+6)^2+(8-2)^2} \\\\\\ XZ=\sqrt{121+36}\implies \boxed{XZ=\sqrt{157}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%20%5C%5C%5C%5C%20X%28%5Cstackrel%7Bx_1%7D%7B-6%7D~%2C~%5Cstackrel%7By_1%7D%7B2%7D%29%5Cqquad%20Z%28%5Cstackrel%7Bx_2%7D%7B5%7D~%2C~%5Cstackrel%7By_2%7D%7B8%7D%29%5Cqquad%20%5Cqquad%20d%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20XZ%3D%5Csqrt%7B%5B5-%28-6%29%5D%5E2%2B%5B8-2%5D%5E2%7D%5Cimplies%20XZ%3D%5Csqrt%7B%285%2B6%29%5E2%2B%288-2%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20XZ%3D%5Csqrt%7B121%2B36%7D%5Cimplies%20%5Cboxed%7BXZ%3D%5Csqrt%7B157%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Z(\stackrel{x_2}{5}~,~\stackrel{y_2}{8})\qquad Y(\stackrel{x_2}{8}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ ZY=\sqrt{(8-5)^2+(2-8)^2}\implies ZY=\sqrt{9+36}\implies \boxed{ZY=\sqrt{45}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{perimeter}{14+\sqrt{157}+\sqrt{45}}\qquad \approx \qquad 33.2](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%20%5C%5C%5C%5C%20Z%28%5Cstackrel%7Bx_2%7D%7B5%7D~%2C~%5Cstackrel%7By_2%7D%7B8%7D%29%5Cqquad%20Y%28%5Cstackrel%7Bx_2%7D%7B8%7D~%2C~%5Cstackrel%7By_2%7D%7B2%7D%29%5Cqquad%20%5Cqquad%20d%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20ZY%3D%5Csqrt%7B%288-5%29%5E2%2B%282-8%29%5E2%7D%5Cimplies%20ZY%3D%5Csqrt%7B9%2B36%7D%5Cimplies%20%5Cboxed%7BZY%3D%5Csqrt%7B45%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7Bperimeter%7D%7B14%2B%5Csqrt%7B157%7D%2B%5Csqrt%7B45%7D%7D%5Cqquad%20%5Capprox%20%5Cqquad%2033.2)
Pi is an irrational and a real number
To find the mean you add up all the numbers then divide the sum by how many numbers there are :
8+16+12+11+8=55
there are 5 numbers in the equation so you divide 55 by 5 :
55÷5= 11
the mean is 11
hope this helped
