Retirement Savings Ella is saving for her retirement by making regular deposits into a 401(k) plan. As her salary rises, she finds that she can deposit increasing amounts each year. Between 1995 and 2008 the annual amount (in dollars) that she deposited was given by the function. D ( t ) = 3500 + 15 t 2 , where t represents the year of the deposit measured from the start of the plan (so 1995 corresponds to t = 0 , 1996 corresponds to t = 1 , and so on). (a) Find D ( 0 ) and D ( 15 ) . What do these values represent? (b) Assuming that her deposits continue to be modeled by the function D, in what year will she deposit $17,000? (c) Find the average rate of change of D between t = 0 and t = 15 . What does this number represent?
Retirement Savings Ella is saving for her retirement by making regular deposits into a 401(k) plan. As her salary rises, she finds that she can deposit increasing amounts each year. Between 1995 and 2008 the annual amount (in dollars) that she deposited was given by the function. D ( t ) = 3500 + 15 t 2 , where t represents the year of the deposit measured from the start of the plan (so 1995 corresponds to t = 0 , 1996 corresponds to t = 1 , and so on). (a) Find D ( 0 ) and D ( 15 ) . What do these values represent? (b) Assuming that her deposits continue to be modeled by the function D, in what year will she deposit $17,000? (c) Find the average rate of change of D between t = 0 and t = 15 . What does this number represent?
Solution Summary: The author calculates the value of D(0) and d (15t2 based on their representations.
Retirement Savings Ella is saving for her retirement by making regular deposits into a 401(k) plan. As her salary rises, she finds that she can deposit increasing amounts each year. Between 1995 and 2008 the annual amount (in dollars) that she deposited was given by the function.
D
(
t
)
=
3500
+
15
t
2
, where
t
represents the year of the deposit measured from the start of the plan (so 1995 corresponds to
t
=
0
, 1996 corresponds to
t
=
1
, and so on). (a) Find
D
(
0
)
and
D
(
15
)
. What do these values represent? (b) Assuming that her deposits continue to be modeled by the function D, in what year will she deposit $17,000? (c) Find the average rate of change of D between
t
=
0
and
t
=
15
. What does this number represent?
For each graph below, state whether it represents a function.
Graph 1
24y
Graph 2
Graph 3
4
2
-8
-6 -4
-2
-2
2 4 6
Function?
○ Yes
○ No
○ Yes
○ No
Graph 4
Graph 5
8
Function?
Yes
No
Yes
No
-2.
○ Yes
○ No
Graph 6
4
+
2
4
-8 -6 -4 -2
2 4 6
8
Yes
-4++
No
Practice
k Help
ises
A
96
Anewer The probability that you get a sum of at least 10 is
Determine the number of ways that the specified event can occur when
two number cubes are rolled.
1. Getting a sum of 9 or 10
3. Getting a sum less than 5
2. Getting a sum of 6 or 7
4. Getting a sum that is odd
Tell whether you would use the addition principle or the multiplication
principle to determine the total number of possible outcomes for the
situation described.
5. Rolling three number cubes
6. Getting a sum of 10 or 12 after rolling three number cubes
A set of playing cards contains four groups of cards designated by color
(black, red, yellow, and green) with cards numbered from 1 to 14 in each
group. Determine the number of ways that the specified event can occur
when a card is drawn from the set.
7. Drawing a 13 or 14
9. Drawing a number less than 4
8. Drawing a yellow or green card
10. Drawing a black, red, or green car
The spinner is divided into equal parts.
Find the specified…
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