Answer:
slope =2
y intercept = (0,-4)
Step-by-step explanation:
y = 2x - 4
Since this is in the form y = mx+b where m is the slope and b is the y intercept
The slope is 2 and the y intercept is -4
slope =2
y intercept = (0,-4)
Answer:
Rate = 14.07%
Step-by-step explanation:
A= 3500
P= 2000
n = 12
t = 4
![3500= 2000(1+\frac{r}{12})^{4 \times 12}\\\\\frac{3500}{2000} = (1+\frac{r}{12})^{48}\\\\\frac{7}{4} = (1+\frac{r}{12})^{48}\\\\1.75 = (1+\frac{r}{12})^{48}\\\\\sqrt[48]{1.75} = (1+\frac{r}{12})\\\\\sqrt[48]{1.75}-1 = \frac{r}{12}\\\\0.01172688 = \frac{r}{12}\\\\r = 0.01172688 \times 12 = 0.14072267\\\\r \% = 14.07%](https://tex.z-dn.net/?f=3500%3D%202000%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B4%20%5Ctimes%2012%7D%5C%5C%5C%5C%5Cfrac%7B3500%7D%7B2000%7D%20%3D%20%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B48%7D%5C%5C%5C%5C%5Cfrac%7B7%7D%7B4%7D%20%3D%20%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B48%7D%5C%5C%5C%5C1.75%20%3D%20%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B48%7D%5C%5C%5C%5C%5Csqrt%5B48%5D%7B1.75%7D%20%20%3D%20%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5C%5C%5C%5C%5Csqrt%5B48%5D%7B1.75%7D-1%20%3D%20%5Cfrac%7Br%7D%7B12%7D%5C%5C%5C%5C0.01172688%20%3D%20%5Cfrac%7Br%7D%7B12%7D%5C%5C%5C%5Cr%20%3D%200.01172688%20%5Ctimes%2012%20%3D%200.14072267%5C%5C%5C%5Cr%20%5C%25%20%3D%2014.07%25)
If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x.
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair.
Answer:
2 1/2
Step-by-step explanation:
(1/4 + 5/4) squared + 1/4
(6/4) squared + 1/4
2 1/4 + 1/4
2 1/2
