Answer:
![y=80-\frac{8x}{7}](https://tex.z-dn.net/?f=y%3D80-%5Cfrac%7B8x%7D%7B7%7D)
Step-by-step explanation:
15). Given equation is,
![\frac{x}{7}+ \frac{y}{8}=10](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B7%7D%2B%20%5Cfrac%7By%7D%7B8%7D%3D10)
Multiply the equation by 8,
![8(\frac{x}{7}+ \frac{y}{8})=10\times 8](https://tex.z-dn.net/?f=8%28%5Cfrac%7Bx%7D%7B7%7D%2B%20%5Cfrac%7By%7D%7B8%7D%29%3D10%5Ctimes%208)
![\frac{8x}{7}+y=80](https://tex.z-dn.net/?f=%5Cfrac%7B8x%7D%7B7%7D%2By%3D80)
Subtract
from both the sides of the equation,
![\frac{8x}{7}+y-\frac{8x}{7}=80-\frac{8x}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B8x%7D%7B7%7D%2By-%5Cfrac%7B8x%7D%7B7%7D%3D80-%5Cfrac%7B8x%7D%7B7%7D)
![y=80-\frac{8x}{7}](https://tex.z-dn.net/?f=y%3D80-%5Cfrac%7B8x%7D%7B7%7D)
Therefore, value of the variable 'y' will be,
![y=80-\frac{8x}{7}](https://tex.z-dn.net/?f=y%3D80-%5Cfrac%7B8x%7D%7B7%7D)
Part 1
Total paid
=cost of the bond+commission
Total paid
32×96.7+32×10=3,414.4
Part 2
Annual interest
32×96.7
=3,094.4
3,094.4×0.08625
=266.892...Annual interest
Part 3
The effective interest rate
((1+0.08625÷12)^(12)−1)×100
=8.974%
Answer:
there are 14 possible outcomes
Step-by-step explanation:
this is because there are 14 marbles in the bag
Answer:
450
Step-by-step explanation:
3*150 because the 150is your main number or otherwise known as "b" and then 3 is the multiplier so 3 * 150
Hi,
The greatest common factor of 30 and 50 is 10.
Have a great day!