It is given in the problem that
Liam buys a motorcycle for $2,900
Its value depreciates annually at a rate of 12%=0.12
At the end of t years, it has a value of less than $2,000
The exponential equation modeling this situation can be written as below

The inequality representing its value less than $2,000 can be written as below

Answer:
See the step-by-step explanation
Step-by-step explanation:
Let c be any element of C. (I'm not sure wether you have to assume that C is non-empt or not)
C is a subset of B. That means that as c is in C, it is also in B. (
)
Now, B is a subset of A. It follows that as
.
That means c is an element of A. The predicate Q is true for all elements of A, including c.
Because we let c be any element of C, we have proven that the predicate Q is true for all elements in C.
Answer:
they are 6 possibilities in one roll
Step-by-step explanation:
Answer:
Step-by-step explanation:
1). Geometric mean of a and b = 
Therefore, geometric mean of 2 and 50 = 
= 10
2). By geometric mean theorem,


e² = 6 × 24
e = √144
e = 12
Similarly, 

d² = 6 × 30
d = √180
d = 6√5
And 

c² = 30 × 24
c = √720
c = 12√5
Answer:
(- 2, 4 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then the midpoint is
(
,
)
Here (x₁, y₁ ) = A (4, 6 ) and (x₂, y₂ ) = B (- 8, 2 )
midpoint = (
,
) = (
,
) = (- 2, 4 )