180=11+2x
-11 -11
169/2=2x\2
x=84.5
Answer:
k = 36 and r = 8
Step-by-step explanation:
Given that r varies directly as p and inversely as q² then the equation relating them is
r = 
← k is the constant of variation
To find k use the condition r = 27 when p 3 and q = 2, thus
27 = 
( multiply both sides by 4 )
108 = 3k ( divide both sides by 3 )
k = 36
r = 
← equation of variation
When p = 2 and q = 3, then
r = 
= 
= 8
Answer:
$4080
Step-by-step explanation:
Step one:
given data
principal= $3000
rate = 6%= 0.06
time = 6 years
Required
The total amount in the account after 6 years
Step two:
We know that the final amount on a simple interest investment is computed using
Answer:
a. (0,5) and (4,0)
b. -5/4
c. y = -5/4x + 5
Step-by-step explanation:
The intercepts are where the line crosses the axis. It crosses at (0,5) and (4,0).
The slope of the line is how much it rises over how much it runs. It rises -5/4 from each intercept to the other.
The linear equation should be written as y = mx+b where b = 5 and the slope -5/4.
So the equation is y = -5/4x + 5.
Answer:
2 outcomes
Step-by-step explanation:
Let's list count all the possible outcomes:
(1,3) (1,4) (1,5) (1,6)
(2,3) (2,4) (2,5) (2,6)
(3,3) (3,4) (3,5) (3,6)
As expected, there are 12 (3x4) possible outcomes.
How many outcomes do not show an even number (so showing 1 or 3) on the first spinner and show a 6 on the second spinner?
There are two cases where 6 is on the second spinner and NOT an even number on the first spinner: (1,6) and (3,6)
