Math 1100
Homework 12.1
Name:
Answer the questions in the spaces provided. If you run out of room for an answer, you
may continue on the back. Show all of your work. Round answers as appropriate (dollar
amounts to the nearest penny, and quantities to whole numbers where logical). Include units
when necessary.
51. Household assets invested in mutual funds, A in billions of dollars, have been changing
at a rate given by
dA 160.869t°~°7
dt
where t is the number of years past 1990.
a) Are both the amount of assets and the rate of change of assets increasing? Explain.
JA =i~o.c~9±0S303 >0
~
t~~s
Aic~ncw€ac’i
I r°”~
=
~
1y1c7a0.A_i
b) If there were $1234.5 billion in household assets invested in 1995, find the function
that models the total amount of household assets invested in mutual funds.
I~o ~(o9{
=
koo
o,c307
1.330?
~
1.c3D7~
199S
correcrondc to
123’f.S
C— 0
+ C
-t.’S~so
li~
Ia31kS
~0q
S30
I. SE3
~
(1
Io~,1 ~‘~°~/
4
Ic
(l~Q.i~9)(o.S3o~)tl0~30?> 0 u)LLnt>Dco
poiv~~t’)
(1po~)
cu~ cc~np~Qth&n ~‘o ~°~j
~
/
i.
4
I~