Answer:
$1,519
Step-by-step explanation:
Given that :
Balance = principal = $520
Time (t) = 6 years
Annual. Interest rate (r) = 18% = 0.18
Using the compound interest formula:
A = P(1 + r/n)^nt
n = number of times interest is applied per period ; A = final amount
Since interest is compounded monthly, n = 12
A = 520(1 + 0.18/12)^(12 * 6)
A = 520(1 + 0.015)^72
A = 520(1.015)^72
A = 520(2.9211579)
A = 1519.0021
Hence, final amount = $1519
Answer:96
Step-by-step explanation: 4x8 = 32 so there will be 32 fluid ounces gone. subtract that from 128 to get 96.
The correct answer would be Choice B: 4 square units.
When the scale factor is 1/5, that means the lengths of the sides are 1/5 of the original size. So instead of having a base of 20 and height of 10, the new triangle has a base of 4 and a height of 2.
The area of the triangle is: (4 x 2) / 2 = 4
Answer:
The solution for the given polynomial
is ![x = (\frac{-1}{2})](https://tex.z-dn.net/?f=x%20%20%3D%20%28%5Cfrac%7B-1%7D%7B2%7D%29)
Step-by-step explanation:
Here, the given quadratic equation is : ![4x^2 + 4x+ 1 = 0](https://tex.z-dn.net/?f=4x%5E2%20%2B%204x%2B%201%20%3D%200)
Now, here solving the given equation by SPLITTING THE MIDDLE TERM:
![4x^2 + 4x+ 1 = 0 = 4x^2 + 2x+ 2x + 1 = 0\\\implies 2x( 2x + 1) + 1(2x + 1) = 0\\\implies (2x +1)(2x +1) = 0\\](https://tex.z-dn.net/?f=4x%5E2%20%2B%204x%2B%201%20%3D%200%20%20%3D%204x%5E2%20%2B%202x%2B%202x%20%2B%20%201%20%3D%200%5C%5C%5Cimplies%202x%28%202x%20%2B%201%29%20%2B%201%282x%20%2B%201%29%20%3D%200%5C%5C%5Cimplies%20%282x%20%2B1%29%282x%20%2B1%29%20%20%3D%200%5C%5C)
⇒ either (2x+1) = 0, or ( 2x + 1) = 0
⇒ x = -1/2 or x = -1/2
Here, in both the cases, the value of x is equal i.e x = -1/2
So, the given function has TWO IDENTICAL ROOTS.
Hence the solution for the given polynomial
is ![x = (\frac{-1}{2})](https://tex.z-dn.net/?f=x%20%20%3D%20%28%5Cfrac%7B-1%7D%7B2%7D%29)