Answer:
Using points ( 2 , - 4) and ( 0 , 2)
Slope = 2+4/0-2 = 6/-2 = - 3
Since the lines are parallel their slope will be the same
So the slope of the line parallel to the one in the picture is - 3
That's option A.
Hope this helps.
36:8, 9:2, and 72: 16
Step-by-step explanation:
two ratios that are equivalent to 4:18
36:8, 9:2, and 72: 16
would all be equivalent. In order to find ratios that are equivalent to 18:4, you have to multiply both numbers by the same factor. For
The first book you select can be any one of 700.
. . . For each of those ...
The second book can be any one of the other 699.
. . . For each of those ...
The third book can be any one of the remining 698.
The total number of ways to gather three books from the shelves into your hands is (700 · 699 · 698) = <em>341,531,400 ways</em> .
<em>BUT ...</em>
When you bring three books to the check-out counter, Marian the Librarian doesn't know in which order you took them down off the shelves. You could have gathered the same three books in (3 · 2 · 1) = 6 different ways.
So, even though there are 341,531,400 ways to<em> </em>gather up three books, there are only (341,531,400 / 6) = 56,921,900 different GROUPS of three books that you can choose to take home.
The value of this account in 10 years is given by the formula:
FV = P*(1+r)^t
where FV is the future value in the account after 10 years(to be calculated)
P is the principal invested at the beginning
r is the interest rate and
t is the time horizon in years
Given, Invested Amount (P) = 20,000
Interest rate (r) = 5.5% = 0.055
Time horizon (t) = 10 years = 10
Substituting the formula, FV = 20,000*(1+0.055)^10 = 20,000*1.055^10 = 20,000*1.708144458 = 34,162.89
The value of this account after 10 years =$34,162.89 (Rounded to the nearest cent)
