Answer:
11 years
Step-by-step explanation:
Set the function f(x) = 100(1.0153)^x = to 118 and solve for x:
100(1.0153)^x = 118
Taking the natural logarithm of both sides, we get:
ln 100 + x ln 1.0153 = ln 118
Then x ln 1.0153 = ln 118 - ln 100, or
= 4.7707 - 4.6052
... which leads to:
4.7707 - 4.6052
x = --------------------------- = 11 years (rounded up from 10.888 )
0.0152
That's such a broad question, and super subjective. I'd probably say that you learn math effectively from a good teacher or tutor, or if you're an individual learner, perhaps a textbook or any kind of online resource.
Answer: 2(3x+2y) and 6x+12y
Answer:
Step-by-step explanation:
Given:
To find: points of intersection of the given lines
Solution:
In substitution method, the system of equations is solved by expressing one variable in terms of another, as a result, removing one variable from an equation.
Put 
in the equation 
![2x+8y=7\\2[\frac{1+2y}{5}]+8y=7\\ 2+4y+40y=35\\44y=35-2\\44y=33\\y=\frac{33}{44}\\ =\frac{3}{4}](https://tex.z-dn.net/?f=2x%2B8y%3D7%5C%5C2%5B%5Cfrac%7B1%2B2y%7D%7B5%7D%5D%2B8y%3D7%5C%5C%202%2B4y%2B40y%3D35%5C%5C44y%3D35-2%5C%5C44y%3D33%5C%5Cy%3D%5Cfrac%7B33%7D%7B44%7D%5C%5C%20%3D%5Cfrac%7B3%7D%7B4%7D)
Put 
in the equation
![x=\frac{1+2y}{5}\\=\frac{1}{5}[1+2(\frac{3}{4})]\\=\frac{1}{5}[1+(\frac{3}{2})]\\\\=\frac{1}{5}(\frac{2+3}{2}) \\\\=\frac{1}{5}(\frac{5}{2})\\\\=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%2B2y%7D%7B5%7D%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D%5B1%2B2%28%5Cfrac%7B3%7D%7B4%7D%29%5D%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D%5B1%2B%28%5Cfrac%7B3%7D%7B2%7D%29%5D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D%28%5Cfrac%7B2%2B3%7D%7B2%7D%29%20%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D%28%5Cfrac%7B5%7D%7B2%7D%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore,
Answer:
Step-by-step explanation:
Only 3 and 5
1 and 15
Multiply to give you 15
