6-5 For the diagram, compute the value of D:
Problems
6-9 On April 1 a man borrows $100. The loan is to be
repaid in three equal semiannual (every 6 months)
payments. If the annual interest rate is 7% com-
pounded semiannually, how much is each payment?
(Answer: $35.69)
An electronics firm invested $60,000 in a precision
inspection device. It cost $4000 to operate and main~
tain in the first year and $3000 in each of the subse-
quent years. At the end of 4 years, the firm changed
their inspection procedure, eliminating the need for
the device. The purchasing agent was very fortunate
in being able to sell the inspection device for $60,000,
the original price. The plant manager asks you to com~.
pute the equivalent uniform annual cost of the device
during the 4 years it was used. Assume interest at 10%
per year. (Answer: $9287)
A firm is about to begin pilot plant operation on a pro-
cess it has developed. One item of optional equipment
that could be obtained is a heat exchanger unit. The
company finds that a unit now available for $30,000
could be used in other company operations. It is es-
timated that the heat exchanger unit will be worth
$35,000 at the end of 8 years. This seemingly high sal-
vage value is due primarily to the fact that the $30,000
purchase price is really a rare bargain. If the firm
believes 15% is an appropriate rate of return, what
annual benefit is needed to justify the purchase of the
heat exchanger unit? (Answer: $4135)
6-12 The maintenance foreman of a plant in reviewing his
records found that a large press had the following
maintenance cost record:
1.5D
t t r t t
0-1-2-3-4-5
1
i=12%
500
~ ~
i r t ~ t r i
0-1-2-3-4-5-6-7
~ ~ ~ ~ ~ ~ ~
A A A A A A A
6-8 As shown in the cash flow diagram, there is an annual
disbursement of money that varies from year to year
from $100 to $300 in a fixed pattern that repeats
forever. If interest is 10%, compute the value ofA,
also continuing forever, that is equivalent to the fluc-
tuating disbursements.
-. -~
300 300 300
It T r T T T r T It T r T
0-1-2-3-4-5-6-7-g-9-1O-1l-12 n = co
!!!!!!!!!!!!
A A A A A A A A A A A A
i = 10%
5 yearsago
4 years ago
3 years ago
2 years ago
Last year
$ 600
700
800
900
1000
6-6 What is C in the accompanying figure?
6-10
40
i
30
r
20
t
10 10
!!
0-1-2-3-4-5
C C C C
i = 10%
6-11
6-7 If interest is 10%, what isA?