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Math 103/131 Assignment 4

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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?

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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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