Problem Sheet #12 (5.1-5.3)
Classlb:
Math 1090
-
Name; o1vic001 Spring 2013
Hmk. 12 Score
Instructor: Katrina Johnson
Complete each problem. Clearly indicate your final answer. No credit will be given without
supporting work
’ term of the arithmetic sequence with a
1
1. What is the iV
1
O.
vs+
=
25 and d
—2?
S
(o)(-2
2. What is the 4’ term of the geometric sequence with a
1 =2 and d =4?
O. a
1
O4
I
3. Find the sum of the first 40 terms of the sequence: 1, 5, 9, 13,
(+
4O)r
1
(o..
S])o
1
4.
(c)()
4. Find the sum of the first 40 terms of the sequence: -4, -2, -1, -1/2,
—
OYvir V..
‘)
7..
,eCo.43S4L
O
cjZ )Oy’i
(-) (‘)
I
‘
-2k’
‘2.
_(,
4.
,-
2
-)
u4or
-jo1..3
5. If your money is invested at 8% compounded twice per year what is the annual
percentage yield (APY)?
I\c’N
(ç-\
(‘,o-\
C,
6. How much more interest will be earned if $15,000 is invested for 5 years at 7.3%
compounded monthly, instead of at 7.3% compounded quarterly?
c,
*
covec,fl
C:’\
V
ooo
‘Sooo
I
1\?,1
-‘
ç
o-i
_4)
.
I
aO0O
,,d5W.S3
7. Cami pays $120 at the
of each month for 12 years into an annuity. If the
interest rate is 6% compounded monthly, what is the future value of the annuity?
tMo)
O.O’oc,
.
‘c-c,
V2.
( ,ooc,)
(o)
4
,oc”
-
1
,Q0
8. Juan pays $500 at the end of each quarter for 4 years into an annuity. If the interest
rate is 10% compounded quarterly, what is the future value of the annuity?
-
—c,.o2S
)
S:
k.
9. How much will need to be invested at the end of each month at 5.4% interest
compounded monthly, to pay off a debt of $4700 in 9 year?
ThV)-
7
,oc
—
‘- .o,”
4c’
O (.oo
(vi) (“C)
OS
(. oo)”’ —‘
,