a) The cost of first-dass postage stamp was 4p in 1965 and 40e in 2010 . This increase represents exponential growth. Write the function S for the cost of a stamp t yoars after 1965(t=0) b) What was the growth rate in the cost? c) Predict the cost of a first-class postage stamp in 2019, 2022, and 2025. 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 $4000 on 10,000 first-class postage stamps in 2009 . Knowing it wil need 10,000 first-class stamps in each of the years 2010-2026, it decides at the beginning of 2010 to try to save money by spending $4000 on . 10,000 Forever Stamps, but also buying enough of the stamps to cover the years 2011 through 2026 . Assuming there is a postage increase in each of the years 2019,2022 , and 2025 to the cost predicted in part (c), how much money will the firm save by buying the stamps? a) Choose the cortect answer below. S(t)=0.05e4tS(t)=4e0.05tS(t)=4e14S(t)=0.05e404 b) The growth rate is approximately 5% (Round to the hearest liteget as noodod) b) The growth rate is approximately 5%. (Round to the nearest integer as needed.) c) The cost of a first-class postage stamp in 2019 is (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 2022 is 69c (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 2025 is 80e. (Use the answer from part (a) to find this answer Round to the nearest integer as needed) d) The firm will save 5 by buying the stamps at the beginning of 2010