Chapter 4 Homework Assignments

Assignment 16
Section 4-1 / pg 141-143/1, 2, 5, 7, 11, 13, 15, 17, 18, 19, 21, 23, 25
Section 4-2 / pg 147-149/2, 3-27(skip by 3), also 22, 25, and 26

Assignment 17
Section 4-3 / pg 154-155 / 2-22(even),25,26

Assignment 18
Section 4-4 / pg 165-166 / 2 -30(skip by fours)

Asssignment 19
Section 4-4 / pg 165-166 / special questions

For #21a & b / calculate how long it would take for the investment of $900 to reach a maturity value of $2000 at the rate given.

#25 How long for Sean's money to double?

#K1 In 1995 the price of a movey ticket was $6.50. It is now $9.50. Use the continuously compounding interest formula to calculate the rate of inflation.

#K2 Suppose in four years a CD that was compounded montyhly grew 23%. Find the annual rate.

#K3. Evaluate y = A(b)^(kx)
that is y is equal to A (some amount) times b (the base) raised to the k times x power.
a. When A = 30, b = e and k = .05 and x = 0
b. When A = 15,000, b = 1.08, k = 1 and x = 10
c. When A = 120,000 , b = e, k = -.012 and x = 30
d. Find x when A = 3, b = e, k = 2, y = 445.24
e. Find x when A = 180,000 , b = 3 , k = 2 and y = 20,000

#K4. One very important exponential equation is the compound-interest
formula. It says:

A = P ( 1 + r/n)^(nt)

...where "A" is the ending amount, "P" is the beginning amount (or "principal"), "r" is the interest rate (expressed as a decimal), "n" is the number of compoundings a year, and "t" is the total number of years. The formula calculates the amount (A) owed a person who leaves their money (P) in an account that compounds interest in n times per year, based on a rate of r % Interest per year, for t years of time.

a. Use this formula to calculate the amount of money $10,000 would earn if it were invested at 4.5 percent per year for 8 years in an account that compounded the interest monthly (12 times per year)

b. Use this formula to calculate how long until the investment will have earned a 50% return (that is how long until the investment earns $5000 in interest and is valued at $15,000 total)

c. Use this formula to calculate what interest rate double a person's initial investment in 12 years if the account the account compounded the interest on a monthly basis.


Study Group Assignment for Test 4a

pg.190-191/1-19all

also

My special problem:

A certain home has increased in value over 30 years from $75,000 to $168,ooo. Using the continuous growth formula
a) find the rate of appreciation,
b) determine the estimated value of the investment property ten years from when it was appraied at $168,000 and
c) calculate about how long it would take for the value to double (again from the base of $168,000) .

Assignment 20
Section 4-5 / pg 172-174 /2-8even, 13-30

Assignment 21
Section 4-6 / pg 179-181 / 2-28(even), 25also

Assignment 22
Section 4-7 / pg 187 -188 / 1, 3, 5, 6-8, 10-18(even), 19, 20, 22(see special instuctions also)

Also on #22, Using the P(x) function given, find the x and y intercepts, the location of the axis of symmetry, and the max/min point. Explain what each of those three things mean in the context of the problem.


Study Group Assignment for Test 4b.
Page 191-192/20-28,30
also

On 24 write the cost and income functions

On 25 how many houyrs until the bacterias have doubled?

On 26, what rate would be required if he wanted the value to triple in 18years.

On 27, how many years ago was the popualtion size less than 200,000

On 30, find the axis of symmetry located at x = -b/2a then find p at that point. Is this a max or a min. What does it tell you about the profit?

Last problems / p. 193/18 (specifically) how long until the population doubles
and 20 parts a,b, & c