![y = 40000{(1.04)}^{x}](https://tex.z-dn.net/?f=y%20%20%3D%2040000%7B%281.04%29%7D%5E%7Bx%7D%20)
After 11 years, her salary will be $61,578.16
Step-by-step explanation:
![x = 11\\ y = 40000 {(1.04})^{11} \\ y = 61,578.162...](https://tex.z-dn.net/?f=%20x%20%3D%2011%5C%5C%20y%20%3D%2040000%20%7B%281.04%7D%29%5E%7B11%7D%20%20%5C%5C%20y%20%3D%2061%2C578.162...)
The name of the longest chord in a circle is called a diameter
Answer:
the answer is 32
Step-by-step explanation:
3/8=0.375
0.375 x 12 =32
Answer:
Discriminant: -4
No real solutions
Step-by-step explanation:
You might remember this long, seemingly very hairy thing called the <em>quadratic formula</em> from earlier in algebra:
![x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
The <em>discriminant</em> of a quadratic equation of the form
is that bit under the square root:
. What does the discriminant tell us? Since we're taking its square root, we know that
is only real for non-negative values of
. If
, we have two real roots, one for
and one for
. If
, the function has a rational root, since the formula becomes
![x=\frac{-b}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%7D%7B2a%7D)
In your case, we have the equation
; here,
,
, and
, so our discriminant is
. Since we'd have a negative under our square root in the quadratic formula, we have <em>no real solutions</em>.