Since 2.5% as a decimal is .025, the equation to get this is:
(.025)(80000)
Once multiplied, these equal 2,000. Or in other words, the Smiths pay $2,000 in school taxes per year.
The is 42 because that the answer to the question
Answer:
![y=-e^{-3x-c_1}+6](https://tex.z-dn.net/?f=y%3D-e%5E%7B-3x-c_1%7D%2B6)
Step-by-step explanation:
![\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%2B3y%3D18%5C%5C%5C%5C%5Cmathrm%7BSubstitute%5Cquad%20%7D%5Cfrac%7Bdy%7D%7Bdx%7D%5Cmathrm%7B%5C%3Awith%5C%3A%7Dy%27%5C%3A%5C%5C%5C%5Cy%27%5C%3A%2B3y%3D18%5C%5C%5C%5CRewrite%5C%5C%5C%5C%5Cfrac%7B1%7D%7B6-y%7Dy%27%5C%3A%3D3%5C%5C%5C%5CSolve%20%5C%3A%3A%5Cfrac%7B1%7D%7B6-y%7Dy%27%5C%3A%3D3%5C%5C%5C%5C-In%286-y%29%3D3x%2Bc_1%5C%5C%5C%5CIsolate%5C%3Ay%5C%5C%5C%5C%5C%5Cy%3D-e%5E%7B-3x-c_1%7D%2B6)
<span> SO in total, Emily and Sarah had a total of 80
dollars in which Emily had twice as much as Sarah.
Let’s solve to find out how much their Money is.
=> Since the ratio of the given data is 2:1, 2 + 1 =3, so let’s divide 80 by
3
=> 80 / 3 = 26.667 ,
=> Emily has twice as this.
=> 26.667 * 2 = 53.33
=> Sarah has 26.67
Now, Sarah spent 1/3 of her money
=> 26.67 / 3 = 8.89 – her remaining money
Emily spent 17 dollars of her money
=> 53.33 – 17 = 36.33</span>