Answer:
The fourth proportion is 15
2:5 :: 6 : 15
Answer:
1 l 0 0 5 5 5
2 l
3 l 7
4 l
5 l
6 l 5
7 l 0
8 l 68
9 l
Step-by-step explanation:
1 l 0 0 5 5 5 =10,10,15,15,15
And so on.
Answer:136 months
Step-by-step explanation:
This is the concept of financial mathematics, the simple interest rate is given by:
S.I.=(PRT)/100
where:
P=principle=$2500
R=rate=5.5%
T=time=1 year
Hence;
S.I.=(5.5*2500.1)/100
=$137.5
Thus the total amount he had after 1 year will be:
2500+137.5
=$2,637.5
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)