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Hunter-Best [27]
3 years ago
7

Solve the equation without the use of a calculator. please Help!!! Thank you!!! 12x^3-30x=8-2x^2

Mathematics
1 answer:
Arisa [49]3 years ago
3 0

12x^3 +2x^2-30x = 8
2x( 6x^2 +x -15) = 8
so 2x= 8, x=4
(2x) ( 2x-3) ( 3x+5) = 8
2x-3 = 8
2x= 11
x= 5.5
3x+5=8
3x= 3
x=1
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Aleksandr [31]

Answer:

92087,14873

Step-by-step explanation:

Given that Marymount Township secured the construction of a power plant, which opened in 1990. Once the power plant opened  in 1990, the population of Marymount increased by about 20% each year for the first ten years and then increased by  5% each year after that

Let P0 be the population in 1990

Then we have in 2000 the population is

P(2000) = P_0(1.2)^{10}

with this initial population for next growth we have in 2010 the population would be

P(1.05)^{10}, where P = population is 2000

a) Given that P(1.05)^{10) = 150000\\P = 150000(1.05)^{-10} =92.086.99\\=92087

b) we use the exponential equation and solve for initial population in 2000.

c) we have

P_0(1.2)^{10} =92087\\P_0 = 92087((1.2)^{-10})\\=14872.56\\=14873

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<u>ANS</u>

$15600 worth of explosives.

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\\  = ( \frac{1}{6} x)

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= $

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x = 15600

<u>Th</u><u>ank</u> <u>You</u> !!!!

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