Answer:
i think it will be #3
Step-by-step explanation:
Answer:
$9450
Step-by-step explanation:
We will use compound interest formula:

Where
F is future amount [what we want to figure out]
P is present amount [9000]
r is rate of interest [since we want for 6 months, the annual interest divided by 2 is r. So r = 10/2 = 5% or 0.05]
t is the time [ the time period is for 6 months so t = 1 since we already converted the interest rate to 6 month chunk]
Putting in formula, we get:


Recall that the PDF is given by the derivative of the CDF:

The mean is given by
![\mathbb E[X]=\displaystyle\int_{-\infty}^\infty x\,f_X(x)\,\mathrm dx=\int_0^2\left(x-\dfrac{x^2}2\right)\,\mathrm dx=\frac23](https://tex.z-dn.net/?f=%5Cmathbb%20E%5BX%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20x%5C%2Cf_X%28x%29%5C%2C%5Cmathrm%20dx%3D%5Cint_0%5E2%5Cleft%28x-%5Cdfrac%7Bx%5E2%7D2%5Cright%29%5C%2C%5Cmathrm%20dx%3D%5Cfrac23)
The median is the number

such that

. We have

but both roots can't be medians. As a matter of fact, the median must satisfy

, so we take the solution with the negative root. So

is the median.
Answer:

Step-by-step explanation:
Since f(x) has asymptotes at x = 5 and x = -5, then the denominator of the rational function contains the terms (x - 5) and (x + 5):

Since f(x) has x-intercepts at x = 2 and x = 1, then the numerator of the rational function contains the terms (x - 2) and (x - 1):

Now substitute the point (0, 4) and solve for A:

So final rational function:

Answer:
8x + 10y
Step-by-step explanation:
2(4x+5y)
=> 2(4x) + 2(5y)
=> 8x + 10y