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2 years ago

2 1/2 is it a rational number

Mathematics

1 answer:

Vladimir [108]2 years ago

3 0

Yes 2 1/2 is a rational #

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If P(x) = 8x and R(x) = 9x -8, find P(x) • R(x).

Airida [17]

Answer:

Given

P( x) = 8x

R ( x) = 9x - 8

Step-by-step explanation:

P(x) . R ( x) 

= 8x ( 9x - 8 )

= 72x^2 - 64x

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2 years ago

Lucy is saving money to buy a game. The game costs $21, and so far she has saved one-third of this cost. How much money has Lucy

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Answer:

Step-by-step explanation:

just did 21 divided by three since it says she has saved one third of the $21.

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2 years ago

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2 years ago

The initial population of a town is 2600, and it grows with a doubling time of 10 years. Determine how long it will take for the

choli [55]

Answer:

It will take the 20 years for the population to quadruple.

Step-by-step explanation:

Exponential population growth:

An exponential model for population growth has the following model:

$P(t) = P(0)(1+r)^t$

In which P(0) is the initial population and r is the growth rate, as a decimal.

It grows with a doubling time of 10 years.

This means that $P(10) = 2P(0)$ . We use this to find r. So

$P(t) = P(0)(1+r)^t$

$2P(0) = P(0)(1+r)^10$

$(1+r)^10 = 2$

$\sqrt[10]{(1+r)^10} = \sqrt[10]{2}$

$1+r = 2^{\frac{1}{10}}$

$1 + r = 1.0718$

$P(t) = P(0)(1+r)^t$

$P(t) = P(0)(1.0718)^t$

Determine how long it will take for the population to quadruple.

This is t for which P(t) = 4P(0). So

$P(t) = P(0)(1.0718)^t$

$4P(0) = P(0)(1.0718)^t$

$(1.0718)^t = 4$

$\log{(1.0718)^t} = \log{4}$

$t\log{1.0718} = \log{4}$

$t = \frac{\log{4}}{\log{1.0718}}$

$t = 20$

It will take the 20 years for the population to quadruple.

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3 years ago

Maya goes bowling with her friends. She has a total of $25 to spend. If shoes cost $4 to

IRINA_888 [86]

Answer:

She can play 7 games

Step-by-step explanation:

Substrate 4 from 25

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2 years ago