) The Forever Stamp is always valid as first-class postage on standard envelopes weighing 1 ounce or less, regardiess of any subsequent increases in the first-class rate. An advertising firm spent $6600 on 10,000 first-class postage stamps in 2009. Knowing it will need 10,000 first-class stamps in each of the years 2010-2025, it decides at the beginning of 2010 to try to save money by spending $6600 on 10,000 Forever Stamps, but also buying enough of the stamps to cover the years 2011 through 2025. Assuming there is a postage increase in each of the years 2018, 2021, and 2024 to the cost predicted in part (c), how much money will the firm save by buying the stamps? 221135

College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
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Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 105E
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how to solve problem d)??

a) The cost of first-dass postage stamp was 6e in 1961 and 66¢ in 2010. This increase represents exponential growth. Write the function S for the cost of a stampt
years after 1961 (t= 0).
b) What was the growth rate in the cost?
c) Predict the cost of a first-class postage stamp in 2018, 2021, and 2024.
d) The Forever Stamp is always valid as first-class postage on standard envelopes weighing 1 ounce or less, regardless of any subsequent increases in the
first-class rate. An advertising firm spent $6600 on 10,000 first-class postage stamps in 2009. Knowing it will need 10,000 first-dlass stamps in each of the years
2010-2025, it decides at the beginning of 2010 to try to save money by spending $6600 on 10.000 Forever Stamps, but also buying enough of the stamps to cover
the years 2011 through 2025. Assuming there is a postage increase in each of the years 2018, 2021, and 2024 to the cost predicted in part (c)., how much money
will the firm save by buying the stamps?
b) The growth rate is approximatoly 5 %. (Round to the nearest integer as needed.)
c) The cost of a first-class postage stamp in 2018 is 104 e.
(Use the answer from part (a) to find this answer. Round to the nearest integer as needed.)
The cost of a first-class postage stamp in 2021 is 121 e.
(Use the answer from part (a) to find this answer. Round to the nearest integer as needed.)
The cost of a first-class postage stamp in 2024 is 140 e.
(Use the answer from part (a) to find this answer. Round to the nearest integer as needed.)
d) The firm will save S by buying the stamps at the beginning of 2010.
(Use the answers from part (c) to find this answer.)
Transcribed Image Text:a) The cost of first-dass postage stamp was 6e in 1961 and 66¢ in 2010. This increase represents exponential growth. Write the function S for the cost of a stampt years after 1961 (t= 0). b) What was the growth rate in the cost? c) Predict the cost of a first-class postage stamp in 2018, 2021, and 2024. d) The Forever Stamp is always valid as first-class postage on standard envelopes weighing 1 ounce or less, regardless of any subsequent increases in the first-class rate. An advertising firm spent $6600 on 10,000 first-class postage stamps in 2009. Knowing it will need 10,000 first-dlass stamps in each of the years 2010-2025, it decides at the beginning of 2010 to try to save money by spending $6600 on 10.000 Forever Stamps, but also buying enough of the stamps to cover the years 2011 through 2025. Assuming there is a postage increase in each of the years 2018, 2021, and 2024 to the cost predicted in part (c)., how much money will the firm save by buying the stamps? b) The growth rate is approximatoly 5 %. (Round to the nearest integer as needed.) c) The cost of a first-class postage stamp in 2018 is 104 e. (Use the answer from part (a) to find this answer. Round to the nearest integer as needed.) The cost of a first-class postage stamp in 2021 is 121 e. (Use the answer from part (a) to find this answer. Round to the nearest integer as needed.) The cost of a first-class postage stamp in 2024 is 140 e. (Use the answer from part (a) to find this answer. Round to the nearest integer as needed.) d) The firm will save S by buying the stamps at the beginning of 2010. (Use the answers from part (c) to find this answer.)
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