To solve for x, we will begin by using the distributive property
6x - 2(x + 4) = 12
6x - 2x - 8 = 12
(always remember to sort your negatives!)
Add like terms
4x - 8 = 12
Add 8 to both sides
4x = 20
Divide both sides by 4
x = 5
Answer:
$79
Step-by-step explanation:
That's the Khan Academy answer
Answer: The answer is 16√2 cm.
Step-by-step explanation: Given that there is a rectangle with length 3 times than its width. We are to find the perimeter of the rectangle.
Let 'w' represents the width of the rectangle.
Then, its length will be 3w.
Also, area of the rectangle = 24 square inches.
Therefore,
![3w\times w=24\\\\\Rightarrow 3w^2=24\\\\\Rightarrow w^2=8\\\\\Rightarrow w=2\sqrt 2.](https://tex.z-dn.net/?f=3w%5Ctimes%20w%3D24%5C%5C%5C%5C%5CRightarrow%203w%5E2%3D24%5C%5C%5C%5C%5CRightarrow%20w%5E2%3D8%5C%5C%5C%5C%5CRightarrow%20w%3D2%5Csqrt%202.)
So, width = 2√2 inches and length = 6√2 inches.
Thus, perimeter of the rectangle = 4√2 + 12√2 = 16√2 cm.
The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
<h3>How to calculate compound interest's amount?</h3>
If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
![CI = P(1 +\dfrac{R}{100})^T - P](https://tex.z-dn.net/?f=CI%20%3D%20P%281%20%2B%5Cdfrac%7BR%7D%7B100%7D%29%5ET%20-%20P)
The final amount becomes:
![A = CI + P\\A = P(1 +\dfrac{R}{100})^T](https://tex.z-dn.net/?f=A%20%3D%20CI%20%2B%20P%5C%5CA%20%3D%20P%281%20%2B%5Cdfrac%7BR%7D%7B100%7D%29%5ET)
For the considered case, we're given that:
- Initial amount Laura deposited = $5,500 = P
- Type of interest: Compound interest
- Unit of time: Annually
- Rate of interest = 1.6% annually = R
- Total unit of time for which amount is to be calculated: 4 years = T
The final amount at the end of 4 years in the considered account of Laura is evaluated as:
![A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4 \approx 5860.53 \: \rm (in \: dollars)](https://tex.z-dn.net/?f=A%20%3D%205500%281%20%2B%20%5Cdfrac%7B1.6%7D%7B100%7D%29%5E4%20%3D%205500%281.016%29%5E4%20%20%5Capprox%205860.53%20%5C%3A%20%5Crm%20%28in%20%5C%3A%20%20dollars%29)
Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
Learn more about compound interest here:
brainly.com/question/11897800