Answer:
Here
Step-by-step explanation:
We move all terms to the left:
7+9x-(6x-2)=0
We get rid of parentheses
9x-6x+2+7=0
We add all the numbers together, and all the variables
3x+9=0
We move all terms containing x to the left, all other terms to the right
3x=-9
x=-9/3
x=-3
Answer:
It will take 55 years for the account value to reach 38200 dollars
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
![E = P*I*t](https://tex.z-dn.net/?f=E%20%3D%20P%2AI%2At)
In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
.
In this problem, we ahve that:
![T = 38200, P = 7500, I = 0.075](https://tex.z-dn.net/?f=T%20%3D%2038200%2C%20P%20%3D%207500%2C%20I%20%3D%200.075)
So
First we find how much we have to earn in interest.
.
![E = 38200 - 7500](https://tex.z-dn.net/?f=E%20%3D%2038200%20-%207500)
![E = 30700](https://tex.z-dn.net/?f=E%20%3D%2030700)
How much time to earn this interest?
![E = P*I*t](https://tex.z-dn.net/?f=E%20%3D%20P%2AI%2At)
![30700 = 7500*0.075*t](https://tex.z-dn.net/?f=30700%20%3D%207500%2A0.075%2At)
![t = \frac{30700}{7500*0.075}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B30700%7D%7B7500%2A0.075%7D)
![t = 54.6](https://tex.z-dn.net/?f=t%20%3D%2054.6)
Rounding up
It will take 55 years for the account value to reach 38200 dollars
Answer:
1/3
Step-by-step explanation:
let x=0.333...
10x=3.333...
subtract
9x=3
x=3/9=1/3
When you expand the equation, you will have
9x + 9=25 + x
Next you have to collect like terms
+x will go over the equality sign to become -x. The same applies to +9
9x - x=23 - 9
9x minus x is 8x
8x=14
Divide both sides by 8
x=14/8
You will have 1 6/8
6 is the remainder while 1 is the number of times 8 divided 14.
In decimal, it will be 1.75
Hope that helped. Good luck