Mathematics, 20.07.2019 10:40 haydengraves69

From 1995 to 2003 the amount of mail m (in billions of pieces) handled by the u. s. postal service can be modeled by

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Given that from 1995 to 2003, the amount of mail M (in billions of pieces) handled by the U.S. Postal Service can be modeled by

M=0.05(t^4-18t^3+89t^2-32t+3680)

where t is the number of years since 1995. In which year was there about 204,000,000,000 pieces of mail handled?
Part a:
Write a polynomial equation that can be used to answer the question.
The polynomial equation that can be used to answer the question is given by
$0.05(t^4-18t^3+89t^2-32t+3680)=204 \\ \\ t^4-18t^3+89t^2-32t+3680= \frac{204}{0.05} \\ \\ t^4-18t^3+89t^2-32t+3680=4,080 \\ \\ t^4-18t^3+89t^2-32t-400=0$

Part b.
List the possible whole-number solutions of the equation in part (a) that are less than or equal to 8.
The possible whole-number solutions of the equation in part (a) are the factors of 400.
Therefore, the possible whole-number solutions of the equation in part (a) that are less than or equal to 8 are 1, 2, 4, 5, 8

Part c:
Use synthetic division to determine which of the possible solutions in part (b) is an actual solution. Then answer the question in the problem statement.
Substituting t = 1 into the polynomial from part a, we have

$(1)^4-18(1)^3+89(1)^2-32(1)-400=1-18+89-32-400 \\ \\ =-538\neq0$

Substituting t = 2 into the polynomial from part a, we have

$(2)^4-18(2)^3+89(2)^2-32(2)-400=16-18(8)+89(4)-64-400 \\ \\ =-448-144+356=-236\neq0$

Substituting t = 4 into the polynomial from part a, we have

$(4)^4-18(4)^3+89(4)^2-32(4)-400=256-18(64)+89(16)-128-400 \\ \\ =-272-1,152+1,424=0$

Therefore, the year that there was about 204,000,000,000 pieces of mail handled is in 1995 + 4 = 1999

Answer from: Quest

Znsjanjsnshs jsbsha jsbsisjroan janet hehshwibjehsb
Find the area of the figure round to the nearest tenth if necessary

Answer from: Quest

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if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

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From 1995 to 2003 the amount of mail m (in billions of pieces) handled by the u. s. postal service c...

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