At the time they retire, a couple has $ 200 , 000 in an account that pays 8.4 % compounded monthly. (A) If the couple decides to withdraw equal monthly payments for 10 years, at the end of which time the account will have a zero balance, how much should the couple withdraw each month? (B) If the couple decides to withdraw $ 3 , 000 a month until the balance in the account is zero, how many withdrawals can the couple make?
At the time they retire, a couple has $ 200 , 000 in an account that pays 8.4 % compounded monthly. (A) If the couple decides to withdraw equal monthly payments for 10 years, at the end of which time the account will have a zero balance, how much should the couple withdraw each month? (B) If the couple decides to withdraw $ 3 , 000 a month until the balance in the account is zero, how many withdrawals can the couple make?
Solution Summary: The author calculates the monthly withdrawal if a couple withdraws equal monthly payment for 10 years at the end of which, the account has zero balance.
At the time they retire, a couple has
$
200
,
000
in an account that pays
8.4
%
compounded monthly.
(A) If the couple decides to withdraw equal monthly payments for
10
years, at the end of which time the account will have a zero balance, how much should the couple withdraw each month?
(B) If the couple decides to withdraw
$
3
,
000
a month until the balance in the account is zero, how many withdrawals can the couple make?
2. Suppose the graph below left is the function f(x). In the space below, describe what
transformations are occuring in the transformed function 3ƒ(-2x) + 1. The graph it on the
coordinate plane below right. (4 points)
1
1. Suppose we have the function f(x) = = and then we transform it by moving it four units to the
right and six units down, reflecting it horizontally, and stretching vertically by 5 units. What will
the formula of our new function g(x) be? (2 points)
g(x) =
Suppose an oil spill covers a circular area and the radius, r, increases according to the graph shown below where t
represents the number of minutes since the spill was first observed.
Radius (feet)
80
70
60
50
40
30
20
10
0
r
0 10 20 30 40 50 60 70 80 90
Time (minutes)
(a) How large is the circular area of the spill 30 minutes after it was first observed? Give your answer in terms of π.
square feet
(b) If the cost to clean the oil spill is proportional to the square of the diameter of the spill, express the cost, C, as a
function of the radius of the spill, r. Use a lower case k as the proportionality constant.
C(r) =
(c) Which of the following expressions could be used to represent the amount of time it took for the radius of the spill to
increase from 20 feet to 60 feet?
r(60) - r(20)
Or¹(80-30)
r(80) - r(30)
r-1(80) - r−1(30)
r-1(60) - r¹(20)
Chapter 3 Solutions
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Elementary Statistics: Picturing the World (7th Edition)
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