Answer:
Step-by-step explanation:
Hello,
a. The area of region P is the area of the rectangle 1 * e minus the
![\displaystyle \int\limits^0_1 {e^x} \, dx=[e^x]^{1}_{0}=e-1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%5Climits%5E0_1%20%7Be%5Ex%7D%20%5C%2C%20dx%3D%5Be%5Ex%5D%5E%7B1%7D_%7B0%7D%3De-1)
So this is e - (e-1) = e - e + 1 = 1
b. The area of region P is the area of the rectangle 1 * e minus P and minus the
![\displaystyle \int\limits^0_1 {e^{-x}} \, dx=[-e^{-x}]^{1}_{0}=-e^{-1}+1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%5Climits%5E0_1%20%7Be%5E%7B-x%7D%7D%20%5C%2C%20dx%3D%5B-e%5E%7B-x%7D%5D%5E%7B1%7D_%7B0%7D%3D-e%5E%7B-1%7D%2B1)
So this is
This is around 1.08616127...
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Compound interest is given by:
A=p(1+r/(100*n))^(nt)
where;
A=future amount
p=principle amount=$35,000
r=rate=10%=0.1
n=number of terms=2
t=time=6
Hence,
A=35,000(1+0.05)^(2*6)
A=35000(1.05)^12
A=$62,854.97
The amount of money after 6 years will be $62,854.97
The probability of drawing both without replacing either is :
14/41 * 12/40 = 7/41 * 3/5 = 21/205
The probability of drawing both WITH replacement is:
14/41 * 12/41 = 168/ 1681
there you have it :D
Answer:
The unit price of the problem is that one pack of greeting cards costs $1.85
Step-by-step explanation:
In order to find the unit rate, you have to divide the price by the quantity of the product. So, we will divide 7.40 by 4 so we can see the price of one pack.
7.40 ÷ 4 = 1.85
So, one pack of greeting cards costs $1.85 which is also our unit price.
