X times 0.05 = $50
Solve for x
We do the inverse of times which is divide
$50 divide by 0.05 = $1000
Thus, $1000 is the amount of loan.
1) A
3) B
4) A
5)A
sorry that i dont have all the answers, hope this helped
Answer: x³+2x²-22x+12
Step-by-step explanation:
the product of functions: (hg)(x)
Use FOIL to solve this (First Outer Inner Later)
(x+6)(x²-4x+2)
=x³-4x²+2x+6x²-24x+12
=x³-4x²+6x²+2x-24x+12
=x³+2x²-22x+12
Answer:
(1, 5 )
Step-by-step explanation:
Given
x² - 2x + y - 4 = 0 ( add 4 to both sides )
x² - 2x + y = 4
Complete the square on x² - 2x
add ( half the coefficient of the x term )² to both sides
x² + 2(- 1)x + 1 + y = 4 + 1, that is
(x - 1)² + y = 5
Subtract (x - 1)² from both sides
y = - (x - 1)² + 5
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - (x - 1)² + 5 ← is in vertex form
with vertex = (1, 5 )
Given:
The complex number is:
![z=1+i\sqrt{3}](https://tex.z-dn.net/?f=z%3D1%2Bi%5Csqrt%7B3%7D)
To find:
The argument of the given complex number.
Solution:
If a complex number is
, then the argument of the complex number is:
![\theta=\tan^{-1}\dfrac{y}{x}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Ctan%5E%7B-1%7D%5Cdfrac%7By%7D%7Bx%7D)
We have,
![z=1+i\sqrt{3}](https://tex.z-dn.net/?f=z%3D1%2Bi%5Csqrt%7B3%7D)
Here,
and
. So, the argument of the given complex number is:
![\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%5Ctan%5E%7B-1%7D%5Cdfrac%7B%5Csqrt%7B3%7D%7D%7B1%7D)
![\theta =\tan^{-1}\sqrt{3}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%5Ctan%5E%7B-1%7D%5Csqrt%7B3%7D)
![\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)](https://tex.z-dn.net/?f=%5Ctheta%20%3D%5Ctan%5E%7B-1%7D%5Cleft%28%5Ctan%20%5Cdfrac%7B%5Cpi%7D%7B3%7D%5Cright%29)
![\theta =\dfrac{\pi}{3}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%5Cdfrac%7B%5Cpi%7D%7B3%7D)
Therefore, the argument of the given complex number is
.