First you need to subtract 5x from both sides and then you have to divide by -8
let's pick any two points off that table to get its slope.
![\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=-\cfrac{7}{2}[x-(-7)]\implies y-7=-\cfrac{7}{2}(x+7) \\\\\\ y-7=-\cfrac{7}{2}x-\cfrac{49}{2}\implies y=-\cfrac{7}{2}x-\cfrac{49}{2}+7](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-7%3D-%5Ccfrac%7B7%7D%7B2%7D%5Bx-%28-7%29%5D%5Cimplies%20y-7%3D-%5Ccfrac%7B7%7D%7B2%7D%28x%2B7%29%20%5C%5C%5C%5C%5C%5C%20y-7%3D-%5Ccfrac%7B7%7D%7B2%7Dx-%5Ccfrac%7B49%7D%7B2%7D%5Cimplies%20y%3D-%5Ccfrac%7B7%7D%7B2%7Dx-%5Ccfrac%7B49%7D%7B2%7D%2B7)
regardless of the sign of either "x" and "y".
Answer:400. 10^2 x 12/3 = 400.
We can make and use the equation: <em>A = 160( 1.03 )^y</em>: A = amount, 160 = amount put in, 1 + .03 = 1.03 = interest, and y as the number of years, as the money is compounded every year. (This is the compound interest equation, but I put in the numbers)
A) 160 * 1.03 = $164.80, 160 * 1.03² = $169.744 ≈ $169.74
B) 160 * 1.03⁵ = 185.48385 ≈ $185.48
The expression is the same as saying (((((160 * 1.03)1.03)1.03)1.03)1.03). This is like multiplying 160 * 1.03, which gives the amount for the first year. Then, that amount is multiplied by 1.03, which is the amount for the second year. This isi repeated until 5 years.
C) 160(1.03)³⁰
