Given conditions are :
In 1980's, a typical middle-income household earned= $34,757
In 2009, a similar middle-income household earned= $38,550
And we have to find relative increase in income for these households from 1980 to 2009.
So first we will find the total increase in amounts.
![38550-34757=3793](https://tex.z-dn.net/?f=38550-34757%3D3793)
Relative increase = ![\frac{3793}{34757}*100](https://tex.z-dn.net/?f=%5Cfrac%7B3793%7D%7B34757%7D%2A100)
= 10.91% or rounding it off we get approx 11%.
Hence, the answer is 11%.
Solving the equation
we get ![x=-\frac{3}{5}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B3%7D%7B5%7D)
Step-by-step explanation:
We need to solve the equation
and find value of x
Solving:
![2(1-x) = 9(1 + 2x) + 5\\2-2x=9+18x+5\\Adding\,\,-18x\,\,on\,\,both\,\,sides:\\2-2x-18x=9+5\\Adding\,\,-2\,\,on\,\,both\,\,sides\\-20x=14-2\\-20x=12\\x=\frac{12}{-20}\\x=-\frac{3}{5}](https://tex.z-dn.net/?f=2%281-x%29%20%3D%209%281%20%2B%202x%29%20%2B%205%5C%5C2-2x%3D9%2B18x%2B5%5C%5CAdding%5C%2C%5C%2C-18x%5C%2C%5C%2Con%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%3A%5C%5C2-2x-18x%3D9%2B5%5C%5CAdding%5C%2C%5C%2C-2%5C%2C%5C%2Con%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%5C%5C-20x%3D14-2%5C%5C-20x%3D12%5C%5Cx%3D%5Cfrac%7B12%7D%7B-20%7D%5C%5Cx%3D-%5Cfrac%7B3%7D%7B5%7D)
So, solving the equation
we get ![x=-\frac{3}{5}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B3%7D%7B5%7D)
Keywords: Solving Equations
Learn more about Solving Equations at:
#learnwithBrainly
Okay so first we want to find out how many cans one person uses a year. To find this we divide 16,801 by 53 and we get 317 cans a year. Using this we can find how many cans 1,694,000 people use a year by multiplying the people by 317. You get 536,998,000 cans a year, which is your answer.
Answer:
24.2 years
Step-by-step explanation:
The basic formula is I = P * i * t, where I is interest, P is total principal (or profit), i is rate of interest per year, and t is total time in years. I = P * i * t can be rearranged to solve for t: t = I / (i * p).
In this question I = $6400, P = $3200 and i = 8.25%, so we plug in those numbers to get t = 6400 / (0.0825 * 3200), which solves to 24.2424 years.
Answer: 9. 54; 10. 220; 11. 71; 12. 262
Step-by-step explanation: Chord and tangent intersection angle is half the arc measure or circle, and inscribed angles are also half the included arc measure