Answer:
x=1
Step-by-step explanation:
5x + 2 = 3x + 4(2x - 1)
Distribute the 4
5x + 2 = 3x + 8x - 4
Combine like terms
5x + 2 = 11x - 4
Subtract 5x from each side
5x -5x + 2 = 11x - 5x - 4
2 = 6x-4
Add 4 to each side
2+4 = 6x-4+4
6 = 6x
Divide each side by 6
6/6 =6x/6
1= x
Answer:
3x
Step-by-step explanation:
3*x
Answer:
The value of x is equal to -2/3.
Step-by-step explanation:
In the problem it says that y equals 2x, and that 3x - 3y = 2.
The first step is to substitute 2x into y.
3x - 3(2x) = 2.
The next step is to use distributive property.
-3(2x) = -6x.
Now we need to add like terms.
3x - 6x = -3x.
Which gives us the equation -3x = 2.
The final step is to divide on both sides to get the value of x.
-3x/-3 = 2/-3.
x = -2/3.
So as you can see, x is equal to -2/3.
We can also check to make sure by redoing the problem, but substituting the value of x.
3(-2/3) - 3(2 * -2/3) = 2.
-2 - 3 * -4/3 = 2.
-2 + 4 = 2.
2 = 2.
The value of x is indeed -2/3.
Answer: $1.20
Step-by-step explanation:
To calculate sales tax, multiply the price by the tax percentage.
$30 x 0.04 (4% sales tax) = $1.20
The formula that calculates the compound rate from the given values is ![r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})](https://tex.z-dn.net/?f=r%20%3D%20n%28-1%20%2B%20%5Csqrt%5B10n%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%29)
<h3>How to determine the compound interest rate?</h3>
The compound interest formula is:
Where:
- P represents the principal amount
- r represents the compound interest rate
- n represents the number of times the interest is compounded
- t represents the time in years
- I represents the interest
We start by adding P to both sides
Divide through by P
Take the nt-th root of both sides
![\sqrt[nt]{\frac{P + I}{P}} = 1 + \frac rn](https://tex.z-dn.net/?f=%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%20%3D%201%20%2B%20%5Cfrac%20rn)
Subtract 1 from both sides
![-1 + \sqrt[nt]{\frac{P + I}{P}} = \frac rn](https://tex.z-dn.net/?f=-1%20%2B%20%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%20%3D%20%5Cfrac%20rn)
Multiply through by n
![r = n(-1 + \sqrt[nt]{\frac{P + I}{P}})](https://tex.z-dn.net/?f=r%20%3D%20n%28-1%20%2B%20%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%29)
In this case, t = 10
So, we have:
Hence, the formula that calculates the compound rate is
Read more about compound interest at:
brainly.com/question/13155407
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