2. Interpret the meaning of the constants in the context given: (a) The amount (in dollars) earned by a savings account is f(1)= 1,000(1+05) where t is 121 the years from initial deposit. |> 10010 growth rate : that you add P :0.025 =0 2. 50, annual intereara 12=no, } times tompounded annual A,000 Principal (b) Find f(3) and explain its meaning.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CT: Test
Problem 21CT
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can you help me with 2b

The number e is an amazing irrational number that has a large number of applications. The
interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the
Gateway Arch in St. Louis are all intimately connected with the mysterious number e.
Warm- Up
2. Interpret the meaning of the constants in the context given:
(a) The amount (in dollars) earned by a savings account is f(t) =1,000(1+0025) where t is
121
the years from initial deposit.
|> 10070 growth rate +
that ippu add
e.0.025 =0 2.50, annual interestră
annuale
# I,000 Princi pal
2=no, ch times tompounded
(b) Find f(3) and explain its meaning.
Find the expression e* or e on your calculator.
(a) Write down the number e [ e'] to six decimal places.
(b) The number e is irrational. What does this mean? What other irrational numbers to you
know?
The expression e* is usually associated with the LN button on your calculator.
(a) What does LN mean? (Hint: 10* is associated with LOG on the calculator.)
(b) If e* =y,
Logiej 4=X. This is usually written Ln
(0) 3=e*
O.Sx
(b) 40-20as 30
Ln 3=x
1,698k
Transcribed Image Text:The number e is an amazing irrational number that has a large number of applications. The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. Warm- Up 2. Interpret the meaning of the constants in the context given: (a) The amount (in dollars) earned by a savings account is f(t) =1,000(1+0025) where t is 121 the years from initial deposit. |> 10070 growth rate + that ippu add e.0.025 =0 2.50, annual interestră annuale # I,000 Princi pal 2=no, ch times tompounded (b) Find f(3) and explain its meaning. Find the expression e* or e on your calculator. (a) Write down the number e [ e'] to six decimal places. (b) The number e is irrational. What does this mean? What other irrational numbers to you know? The expression e* is usually associated with the LN button on your calculator. (a) What does LN mean? (Hint: 10* is associated with LOG on the calculator.) (b) If e* =y, Logiej 4=X. This is usually written Ln (0) 3=e* O.Sx (b) 40-20as 30 Ln 3=x 1,698k
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