Answer:
15/20 - 2/20 = 13/20
Step-by-step explanation:
Hope that helps!

A=futurer amount
P=present amount
r=rate in decimal
n=number of times compounded per year
t=time in years
A=2500
r=0.05
n=2
t=2




divide both sides by [tex} 1.025^{4} [/tex]
2264.88=P
he should invest
$2264.88
If we split this shape into 2 rectangles, we have 2 rectangles that each measure 10m x 20m x 200cm. 200 cm = 2 m. Volume is found by multiplying length times width times height. We have 2 shapes so we will have 2 volumes that we will add together to get a total volume. 10*20*2=400 m cubed. Two of those is 800 m cubed.
We obtain the joint PMF directly from the joint MGF:

![\implies\mathrm{Pr}[X=x,Y=y]=\begin{cases}0.1&\text{for }x=y=0\\0.2&\text{for }x=1,y=0\\0.3&\text{for }x=0,y=1\\0.4&\text{for }x=y=1\\0&\text{otherwise}\end{cases}](https://tex.z-dn.net/?f=%5Cimplies%5Cmathrm%7BPr%7D%5BX%3Dx%2CY%3Dy%5D%3D%5Cbegin%7Bcases%7D0.1%26%5Ctext%7Bfor%20%7Dx%3Dy%3D0%5C%5C0.2%26%5Ctext%7Bfor%20%7Dx%3D1%2Cy%3D0%5C%5C0.3%26%5Ctext%7Bfor%20%7Dx%3D0%2Cy%3D1%5C%5C0.4%26%5Ctext%7Bfor%20%7Dx%3Dy%3D1%5C%5C0%26%5Ctext%7Botherwise%7D%5Cend%7Bcases%7D)
Then
![\mathrm{Pr}[X=Y]=\mathrm{Pr}[X=Y=0]+\mathrm{Pr}[X=Y=1]=0.1+0.4=\boxed{0.5}](https://tex.z-dn.net/?f=%5Cmathrm%7BPr%7D%5BX%3DY%5D%3D%5Cmathrm%7BPr%7D%5BX%3DY%3D0%5D%2B%5Cmathrm%7BPr%7D%5BX%3DY%3D1%5D%3D0.1%2B0.4%3D%5Cboxed%7B0.5%7D)