If X is between P and Q, then PQ is the whole line segment and XQ and XP are line segments that add up to PQ. Therefore, you can make an equation where XQ and XP add up to PQ.
XQ + XP = PQ
(3k) + (7k - 2) = 6k + 18
Combine like terms.
10k - 2 = 6k + 18
Add 2 to both sides.
10k = 6k + 20
Subtract 6k from both sides.
4k = 20
Divide both sides by 4.
k = 5
Plug 5 for k into XP.
XP = 7(5) - 2 ⇒ 35 - 2
XP = 33
Look at factors of 44...
1 and 44
2 and 22
4 and 11
Using those, we can see that 4 by 11 works, because 4x2 equals 8, which is 3 less than eleven. Stick to the basics, they are your best weapons.
Answer:
Step-by-step explanation:
4/52 * 3/51 * 2/50 * 1/49 = (4 queens over 52 and decreases because you already got dealt one card)
= 0.00000369378 =
Answer:
$3,113,34
Step-by-step explanation:
The formula for calculating compound interest is
Where
A=the future total value, i.e, the money you will have after t years.
P=the initial deposit.
r=the annual interest rate.
n=the number of times that interest is compounded per year.
t=the number of years the money is saved.
In our case
A is unknown and we will have to calculate it with the formula.
P=$12,000
r=2.9%=0.029
n=365 because the interest is compounded daily and there are 365 days in a year
t=8 years
Applying the formula we get
So A=15,113.336
This is the amount of money you would have after 8 years.
Subtracting the initial deposit from this amount we obtain the interest earned I
I=15,113.336-12,000=3,113.336
Rounded to the nearest hundreth
I=$3,113,30
Answer:
the asymptote of the graph y = 1
Step-by-step explanation:
The asymptote of the graph y = 1 (Horizontal asymptote)
As you can see a line that a graph is approạching to as it heads towards infinity but it does not intersect.
Moreover, the value of y is decreasing over its domain. as you can see in the graph.