Year 1: 500 + 0.25*500 = 500 [1 + 0.25]
Year 2: 500*[ 1 + 0.25] * [1 + 0.25] = 500 [1 + 0.25]^2
Year x: 500 [1 + 0.25]^x
Option d: A(x) = 500[1 + .25]^x, where .25 is the interest rate
Answer:
Six at top, ten at second, twenty-seven at third, and four at bottom.
Answer:
D
Step-by-step explanation:
D because it is the only choice that obtains things that do not intersect or cross each other at some point. The doors would never cross, unlike the windows or roadways or railways.
So option D would be the best answer.
#3.) 48 pieces of ribbon
#3.) this week they cost $112
Answer:
![y-2=\displaystyle -\frac{3}{4}(x-1)](https://tex.z-dn.net/?f=y-2%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7D%28x-1%29)
OR
![y=\displaystyle -\frac{3}{4}x+\frac{11}{4}](https://tex.z-dn.net/?f=y%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7Dx%2B%5Cfrac%7B11%7D%7B4%7D)
Step-by-step explanation:
Hi there!
Point-slope form:
where <em>m</em> is the slope of the line and
is a given point
Given that the slope is -3/4, we can plug it into
as <em>m</em>:
![y-y_1=\displaystyle -\frac{3}{4}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7D%28x-x_1%29)
We can also plug in the given point (1,2):
![y-2=\displaystyle -\frac{3}{4}(x-1)](https://tex.z-dn.net/?f=y-2%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7D%28x-1%29)
Slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)
To write the equation in slope-intercept form, isolate <em>y</em>:
![y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}](https://tex.z-dn.net/?f=y-2%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7D%28x-1%29%5C%5C%5C%5Cy%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7D%28x-1%29%2B2%5C%5C%5C%5Cy%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7Dx%2B%5Cfrac%7B3%7D%7B4%7D%2B2%5C%5C%5C%5Cy%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7Dx%2B%5Cfrac%7B11%7D%7B4%7D)
I hope this helps!