Description
Math 103/131 Assignment 4
Name:
ID:
Section:
Q1. What annual rate will you earn if you invest a $12000 for 9 years to get $122000 if interest is
compounded continuously?
—
Q2. If $2000 is invested at 8% compounded quarterly, what is the amount after 4 years?
Q3. If the 1st and the 15th terms of an arithmetic sequence are
find the 74th term of the sequence.
5 and 23, respectively, then
Q4. A company manufactures automatic transmissions for cars. The total weekly cost (in
dollars) of producing x transmissions is given by
C (x) = 50000 + 600x — 0.75×2
(a) Find the exact cost of producing the 251st transmission.
(b) Find the marginal cost function C ′ (x). What does the value of C ′ (300) represent?
1
Name:
ID:
Section:
Q1. What annual rate will you earn if you invest a $12000 for 9 years to get $122000 if interest is
compounded continuously?
—
Q2. If $2000 is invested at 8% compounded quarterly, what is the amount after 4 years?
Q3. If the 1st and the 15th terms of an arithmetic sequence are
find the 74th term of the sequence.
5 and 23, respectively, then
Q4. A company manufactures automatic transmissions for cars. The total weekly cost (in
dollars) of producing x transmissions is given by
C (x) = 50000 + 600x — 0.75×2
(a) Find the exact cost of producing the 251st transmission.
(b) Find the marginal cost function C ′ (x). What does the value of C ′ (300) represent?
1
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