Answer:
y = 312x + 2
Step-by-step explanation:
According to y = mx + b, m stands for slope and b stands for y-intercept. Let us find the y-intercept. To find the y-intercept, the x should be zero in (x, y).
(x, y)
(0, 2) ---> y-intercept (b)
Now that we have found the y-intercept, we will now find the slope by using its formula.
Slope formula:-
m = y2 - y1 / x2 - x1
Pick two random (x, y). I will pick the first and last pairs.
(0, 2) and (4, 1250)
Now plug these two pairs in the formula.
m = y2 - y1 / x2 - x1
m = 1250 - 2 / 4 - 0
m = 1248 / 4
m = 312
This means that the slope (m) is 312. Now put that in y = mx + b form.
y = mx + b
y = 312x + 2
Both of the forms are the same. Hope this helps, thank you :) !!
9514 1404 393
Answer:
0.2332
Step-by-step explanation:
The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...
e = (1 +r/n)^n -1
For weekly compounding, we have n=52, so ...
e = (1 +0.21/52)^52 -1 = 0.2332 . . . . . . . about 23.32%
Answer:
Number of Unlimited passes sold were 168.
Step-by-step explanation:
Let Number of Unlimited passes sold be x
and Number of entrance-only passes sold be y.
Total number of passes sold =282
Hence,
![x+y=282 \ \ \ \ equation \ 1](https://tex.z-dn.net/?f=x%2By%3D282%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%201)
Also
Cost for unlimited-ride pass = $50
Cost for entrance-only pass = $20
Total Money for one day = $10,680
Hence,
![\$50x+\$20y=\$10,680\\](https://tex.z-dn.net/?f=%5C%2450x%2B%5C%2420y%3D%5C%2410%2C680%5C%5C)
Dividing by 10 on both side we get;
![5x+2y=1068 \ \ \ \ equation \ 2](https://tex.z-dn.net/?f=5x%2B2y%3D1068%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%202)
Now multiplying equation 1 by 2 we get;
![2x+2y=584 \ \ \ \ equation \ 3](https://tex.z-dn.net/?f=2x%2B2y%3D584%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%203)
Now Subtracting equation 3 from equation 2 we get;
![(5x+2y=1068)-(2x+2y=584)\\3x=504\\x=\frac{504}{3}= 168](https://tex.z-dn.net/?f=%285x%2B2y%3D1068%29-%282x%2B2y%3D584%29%5C%5C3x%3D504%5C%5Cx%3D%5Cfrac%7B504%7D%7B3%7D%3D%20168)
x= 168
x+y = 282
168+y =282
y=282-168
y= 114
Hence, Number of Unlimited passes sold are 168 and Number of entrance-only pass sold is 114.