Answer:
The cost in 2015 will be $283.45.
What is the reference point (t=0)?
d. The year 2005.
Step-by-step explanation:
The exponential growth model for the cost is the following:

In which C(t) is the cost after t years,
is the initial cost and r is the decimal inflation rate
In this problem, we have that:

What will it cost in 2015 assuming the rate of inflation remains constant?
2015 is 10 years after 2005, so this is C(10).


The cost in 2015 will be $283.45.
The reference point is the year in which t = 0, so the year 2005.
Answer:
The second choice,
.
Step-by-step explanation:
Note, that the expression
is an equation. A point
is on the graph of
if and only if the value of
and
satisfy this equation; that is: in other words, the
-coordinate of that point (the second number in the tuple) should be equal to
, which is equal to
(evaluated where
is equal to the first number in the tuple.
For each tuple in the choices, calculate the value of
where
is equal to the first number of each tuple. Compare the result to the second number in that tuple. That choice corresponds to a valid point on
only if these two numbers match.
- First choice:
,
. That's not the same as the second number,
. Therefore, this point isn't on the graph of
. - Second choice:
,
. That matches the second number in the tuple. Therefore, this point is on the graph of
. - Third choice:
,
. That's not the same as the second number,
. Therefore, this point isn't on the graph of
. - Fourth choice:
,
. That's not the same as the second number,
. Therefore, this point isn't on the graph of
.
The correct answer is B)
Hope this helps!
Answer:
A. The mean value is greater than the median value
Step-by-step explanation:
The median is found by rearranging the numbers from least to greatest and is the number that separates the lower half from the upper half. In this case that number was 0.75. The mean however is found by averaging all the numbers: adding them all up and dividing by the number of numbers. When I did that for this set of terms I got 1.08. Seeing as 1.08>0.75, the mean of the set is greater than the median.
The first thing to do is to work out the biggest number that goes into bother 24 and 3. As the only that goes into three- other than 1- is itself, one can assume this is the number we are looking for.
Next, divide bother numbers by 3.
24 / 3 = 8
3 / 3 = 1
You now take 3 out of the brackets, and leave 8 and 1. 24x / 3 = 8x.
3(8x + 1)