You didn’t specify the amount of years. But the equation for simple interest is I= Prt. To find the simple interest she will earn in x amount of years, you must multiply 1,025 by 0.05. Then you must multiply the answer of that to the number of years you will keep the money in the savings account. After that, you will get the interest after x number of years. Equation - I = 1,025x0.05x(time in years).
The longer the bridge the more weak it will be. The shorter the bridge the stronger it will be.
Answer:
y2-y1 5--6 11
-------- =. -------- = ----
x2-x1 -4 --9 5
Step-by-step explanation:
Answer:
The probability is 
.
Step-by-step explanation:
There are 7 democrats and 6 republicans
Number of ways in which 4 democrats and 2 republicans can be selected=![\[{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}\]](https://tex.z-dn.net/?f=%5C%5B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B4%7D%7D%5Ctimes%20%7B%7D%5E%7B6%7D%7B%7BC%7D_%7B2%7D%7D%5C%5D)
Number of ways in which 5 democrats and 1 republican can be selected= ![\[{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}\]](https://tex.z-dn.net/?f=%5C%5B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B5%7D%7D%5Ctimes%20%7B%7D%5E%7B6%7D%7B%7BC%7D_%7B1%7D%7D%5C%5D)
Number of ways in which 6 democrats can be selected = ![\[{}^{7}{{C}_{6}}\]](https://tex.z-dn.net/?f=%5C%5B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B6%7D%7D%5C%5D)
So, favourable outcomes are ![\[{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}\]](https://tex.z-dn.net/?f=%5C%5B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B4%7D%7D%5Ctimes%20%7B%7D%5E%7B6%7D%7B%7BC%7D_%7B2%7D%7D%2B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B5%7D%7D%5Ctimes%20%7B%7D%5E%7B6%7D%7B%7BC%7D_%7B1%7D%7D%2B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B6%7D%7D%5C%5D)
Total possible outcomes =![\[{}^{13}{{C}_{6}}\]](https://tex.z-dn.net/?f=%5C%5B%7B%7D%5E%7B13%7D%7B%7BC%7D_%7B6%7D%7D%5C%5D)
Now, probability=![\[\frac{Favourable}{Possible}=\frac{{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}}{{}^{13}{{C}_{6}}}=0.383\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7BFavourable%7D%7BPossible%7D%3D%5Cfrac%7B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B4%7D%7D%5Ctimes%20%7B%7D%5E%7B6%7D%7B%7BC%7D_%7B2%7D%7D%2B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B5%7D%7D%5Ctimes%20%7B%7D%5E%7B6%7D%7B%7BC%7D_%7B1%7D%7D%2B%7B%7D%5E%7B7%7D%7B%7BC%7D_%7B6%7D%7D%7D%7B%7B%7D%5E%7B13%7D%7B%7BC%7D_%7B6%7D%7D%7D%3D0.383%5C%5D)
Learn more about probability:
brainly.com/question/2561151?referrer=searchResults
Answer:
The perpendicular line would be y = -2x - 4
Step-by-step explanation:
First we must solve the original equation for y.
x - 2y = 7
-2y = -x + 7
y = 1/2x - 7/2
In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 2 = -2(x + 3)
y - 2 = -2x - 6
y = -2x - 4
