Question
21. What will be the approximate population of the United States, if its current population of 316 ,000,000 grows at a compound rate of 2
21.
What will be the approximate population of the United States, if its current population of
316
,000,000
grows at a compound rate of 2
.
3
% annually for
30
years?
(Enter your answer rounded to the nearest
whole number; for example, record 218
,
934
,210.86
as
218934211
).
22.
Assume that a gallon of milk costs $
3.
50
today. If the average annual inflation rate over the past
35
years was 2.75% p.a., what did a gallon of milk cost
35
years ago?
23.
What is the future value on the day of the last deposit of
2
5
annual deposi
ts of $
75
0 per year (first
deposit to be made today) given an interest rate of 5.5% p.a.?
24.
Assume that I
will
deposit $750 into an account exactly 10 years from today. How much will be in my
account at the end of year
60
(i.e., 60 years from today)
, assumin
g that my account pays interest of
4
.5% p.a.?
25.
The ShortHolder bank pays 5.60%
p.a.
,
but with daily compounding assume a
360
-
day
year
), on a 9
-
month certificate of deposit. If you
deposit $20,000 you would expect to earn
__________ in interest
(rounded to the nearest dollar)
.
26.
With continuous compounding at 8
% p.a.
for 20 years, what is the approximate future value of a
$20,000 initial investment
(rounded to the nearest dollar)
?
27.
For $1,000
Laura Croft
can purchase a 5
-
year ordinary annuity which will pay
her
a yearly payment
of $263.80 for 5 years. What is the annual interest rate implicit
in this investment
? Round your
an
swer to the near
est tenth (for example, record 0.4325 as 43.3%
-
but do not include the percent sign
in iCollege)
.
28.
Nathan Drake is
considering borrowing $100,000 for 30 years at a compound annual interest rate of
9
% p.a.
The
loan agreement calls for 30 equal annual payments, to be paid at the end of each of the
next 30 years
(p
ayments include both principal and interest.)
What is the annual payment that will
fully amortize
Nathan
'
s
loan?
29.
Cl
oud Strife is
going to place $12,500 into a certificate of deposit (CD) at a 6% annual rate
(compounded annually) with a maturity of 30 months. How much money will
Clou
d
receive when the
CD matures
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