Answer: le quedan leer 295 páginas
Step-by-step explanation:
For this question, we can use proportional reasoning to find out the answer.
Let us call the point at the other end of line and in between the two expressions, D.
Side AB:AC = BD:DC (remember that ratios are the same as division so you can do the exact same thing with division statements instead).
Now substitute: 8:12 = (x+4):(2x+1).
Now solve (if using division instead of ratios, solve regularily for x):
8:12 = (x+4):(2x+1),
8(2x+1) = 12(x+4),
16x+8 = 12x+48,
16x-12x = 48-8,
4x = 40,
x = 10.
Therefore x = 10
Answer:
$1564 was invested at 5%
$6475 was invested at 10%
Step-by-step explanation:
Let the amount invested at 5% be X
And that invested at 10% be Y.
Interest on X
![I_X=X \times5\%=0.05X](https://tex.z-dn.net/?f=I_X%3DX%20%5Ctimes5%5C%25%3D0.05X)
Interest on Y
![I_Y=Y \times10\%=0.1Y](https://tex.z-dn.net/?f=I_Y%3DY%20%5Ctimes10%5C%25%3D0.1Y)
From the question,
![Y=4X+219](https://tex.z-dn.net/?f=Y%3D4X%2B219)
Interest on Y
![I_Y=0.1(4X+219)=0.4IX+21.9](https://tex.z-dn.net/?f=I_Y%3D0.1%284X%2B219%29%3D0.4IX%2B21.9)
Also, from the question, both interests add up to $922.80
![I_X + I_Y = 922.8](https://tex.z-dn.net/?f=I_X%20%2B%20I_Y%20%3D%20922.8)
![0.05X + 0.4X+21.9 = 922.8](https://tex.z-dn.net/?f=0.05X%20%2B%200.4X%2B21.9%20%3D%20922.8)
![0.45X = 922.8- 21.9= 703.8](https://tex.z-dn.net/?f=0.45X%20%3D%20922.8-%2021.9%3D%20703.8)
![X=\dfrac{703.8}{0.45}=1564](https://tex.z-dn.net/?f=X%3D%5Cdfrac%7B703.8%7D%7B0.45%7D%3D1564)
![Y = 4X+219=4\times1564+219](https://tex.z-dn.net/?f=Y%20%3D%204X%2B219%3D4%5Ctimes1564%2B219)
![Y=6256+219=6475](https://tex.z-dn.net/?f=Y%3D6256%2B219%3D6475)