The answer is they are reciprocal.
(1) Express both equations in the slope-intercept form: y = mx + b, where m is slope:
<span> 8x - 9y = 5
9y = 8x - 5
y = 8/9x - 5/9
m1 = 8/9
</span><span>9x - 8y = 1
8y = 9x - 1
y = 9/8x - 1/8
m2 = 9/8
So, m1 = 8/9 and m2 = 9/8. They are reciprocal</span>
Since he is investing the same amount monthly, we have to apply annuity formula. And it is planned for the future. So that, we'll apply future value annuity formula. The formula is
![FV=A[ \frac{(1+ \frac{r}{s})^{Ns} -1 }{r} ]](https://tex.z-dn.net/?f=FV%3DA%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7Br%7D%7Bs%7D%29%5E%7BNs%7D%20-1%20%7D%7Br%7D%20%5D)
, where A is the monthly payment, r is the percentage rate, s is 12 (monthly compound) and N is the time, which is 30. Plugging the numbers into the formula, we write that
![FV=155[ \frac{(1+ \frac{0.037}{12} )^{12*30} - 1 }{0.037} ]](https://tex.z-dn.net/?f=FV%3D155%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7B0.037%7D%7B12%7D%20%29%5E%7B12%2A30%7D%20-%201%20%7D%7B0.037%7D%20%20%5D)
= $8485.450857
Where is the table for y - 3x-2
Answer: r=2
Step-by-step explanation: 8•2=16