<span>The 6 playing cards may be arranged into 6 factorial (!) combinations, since the order of the cards does not matter, and since for each card we select, there is now one less card to choose from (for example 6 cards to start, then 5 to choose from, then 4, etc.)
So the number of combinations is 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720 combinations.</span>
X intercept: when Y = 0
Y intercept: when X = 0
Plug into equation
4x + 6(0) = 12
4x = 12, x = 3
Therefore x int = (3,0)
4(0) + 6y = 12
6y = 12, y = 2
Therefore y int = (0,2)
Plug those points then draw a line through them
we know that
A figure before the transformation is called pre-image and the figure after a transformation is called image
therefore
<u>the answer is the option D</u>
Image
Answer:
Difference= $3,090.15 in favor of compounded interest
Step-by-step explanation:
Giving the following information:
Present value (PV)= $8,500
Ineterest (i)= 0.025/12= 0.00208
Number of periods (n)= 360 months
<u>We will calculate the future value of each option and determine the difference:</u>
<u>Simple interest:</u>
FV= (PV*i*n) + PV
FV= (8,500*0.00208*360) + 8,500
FV= $14,864.8
<u>Compounded interest:</u>
FV= PV*(1+i)^n
FV= 8,500*(1.00208^360)
FV= $17,958.95
Difference= $3,090.15
Answer:
x = 0
Step-by-step explanation:
(x)=5x+19(x)=-2x+15
We move all terms to the left:
(x)-(5x+19(x))=0
We add all the numbers together, and all the variables
x-(+24x)=0
We get rid of parentheses
x-24x=0
We add all the numbers together, and all the variables
-23x=0
x=0/-23
x=0