Mathematics: The polynomial -3 x 2 +400 X represents the budget surplus of the town of alphaville for the year 2010. Alphaville surplus in 2011 can be modeled by -15 x 2 + 200 x. If x represents the yearly tax revenue in thousands, enter a polynomial for how much alphaville budget surplus increase from 2010 to 2011. If alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus this year?

The polynomial -3 x 2 +400 X represents the budget - id324005177365, alyssatamayo641

Ответ:

hectorcal3652

19.01.2022

Mathematics

Question 1: Budget Surplus Increase = $-12x^{2} -200x$

Question 2: Budget surplus in 2011 = $ $3.04*10^{12}$

Step-by-step explanation:

Question 1

Budget surplus in 2010 = $-3x^{2} + 400x$

Budget surplus in 2011 = $-15x^{2} + 200x$

Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010

$-15x^{2} + 200x - (-3x^{2} + 400x)\\\\= -15x^{2} + 200x + 3x^{2} - 400x\\\\= -12x^{2} -200x$

Question 2

2011 yearly tax revenue, x = $450,000

Budget surplus in 2011 =

$-15x^{2} + 200x = -15(450000)^{2} + 200(450000)\\\\= -15(2.025*10^{11}) + 9*10^{7}\\ \\= (-15*2.025*10000*10^{7}) + (9*10^{7})\\ \\= -303750*10^{7} + 9*10^{7} = (-303750+9)*10^{7}\\ \\= -303741*10^{7} = -3.03741*10^{5}*10^{7}\\\\= -3.03741*10^{12}$

Budget surplus in 2011 ≅ $ $-3.04*10^{12}$

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Ответ:

alejandraluna95

05.05.2023

Mathematics

D. 3,465 units^3

Step-by-step explanation:

Just took the test on edge : ) Hope this helps!

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