Please all solve Between 2006 and 2016, the number of applications for patents, N. grew by about 4.5% per year. That is, N'(0 =0.045N().Find the function that satisfies this equation. Assume that t=0 corresponds to 2006, when approximately 448,000 patent applications were received.a)b) Estimate the number of patent applications in 2021.c) Estimate the rate of change in the number of patent applications in 2021.O Points: G of1SaveIn 2011 a country's federal receipts (money taken in) otaled $250 iion. in 2013, ta federal receipts were 292 vilion. Aume that the growth of federal recipts, F. can bemodeled by an exponential function and use 2011 as the base yeara) Find the growth rate kto six decimal places, and wnite the exponential function F. for tota receipts in lons of dellasb) Estimate total federal receipts in 2015e When will total federal receipts be S12 iion?Suppose that in 1004, a man bought a damond for $32 Suppose that the man had instead put the $32 the bank at 3% interst oompounded continuously What woud thathave been worth in 20007In 2000, the $32 would have been worth(Do not rund unt he fral anwer. Then round to the nearest dolar as needed)The size of a certain insect population is given by Pt) = 400e 01t, where t is measured in days. At what time will the population equal 24007It will takedays for the population to equal 2400.(Round to one decimal place as needed.)

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Between 2006 and 2016, the number of applications for patents, N. grew by about 4.5% per year. That is N 0.04SN a) Find the function that satisfies this equation. Assume that t0 comesponds to 2006, when approximately 448.000 patent applications were received b) Estimate the number of patent applications in 2021. c) Estimate the rate of change in the number of patent applications in 2021.

Between 2006 and 2016, the number of applications for patents, N. grew by about 4.5% per year. That is N 0.04SN a) Find the function that satisfies this equation. Assume that t0 comesponds to 2006, when approximately 448.000 patent applications were received b) Estimate the number of patent applications in 2021. c) Estimate the rate of change in the number of patent applications in 2021.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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