Show work ### Cost of Mailing a First-Class Letter Over TimeIn 1991, the cost of mailing a 1 oz. first-class letter was 29 cents, and the inflation rate was 4.6%. If the inflation rate stayed constant, the function $ C(t) = 0.29(1.046)^t $ would represent the cost of mailing a first-class letter as a function of years since 1991.1. **Question**: If the function given holds true, in what year would the cost of mailing a first-class letter reach 60 cents?To find the year in which the cost reaches 60 cents, we need to solve for $ t $ in the equation:\[ 0.29(1.046)^t = 0.60 \]This simplifies to:\[ (1.046)^t = \frac{0.60}{0.29} \]\[ t = \log_{1.046} \left( \frac{0.60}{0.29} \right) \]Using a calculator to find the value:\[ t = \log_{1.046} (2.069) \approx 16.47 \]So, approximately 16.47 years after 1991, the cost would reach 60 cents.Since the question asks for the year:\[ 1991 + 16.47 \approx 2007.47 \]Therefore, according to the given function, the cost of mailing a first-class letter would reach 60 cents around the year 2008.

We need to find out the year in which the cost of mailing a first class letter reach 60 cents.

In 1991, the cost of mailing a 1 oz. first-class letter was 29 cents, and the inflation rate was 4.6%. If the inflation rate stayed constant, the function C(t) = 0.29(1.046) would represent the cost of mailing a first-class letter as a function of years since 1991. 1. If the function given holds true, in what year would the cost of mailing a first-class letter reach 60 cents?

In 1991, the cost of mailing a 1 oz. first-class letter was 29 cents, and the inflation rate was 4.6%. If the inflation rate stayed constant, the function C(t) = 0.29(1.046) would represent the cost of mailing a first-class letter as a function of years since 1991. 1. If the function given holds true, in what year would the cost of mailing a first-class letter reach 60 cents?

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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