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2 years ago

Explain how you know 6 8ths and 1 are equivalent

Mathematics

1 answer:

torisob [31]2 years ago

6 0

6 8ths and one are not eqivalent because 8 8ths is equal to 1, not 6 8ths. that is less than one

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Y + 9 * 3 / 4 <br> 3/4 is the fraction

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Answer:

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Step-by-step explanation:

Answer: y+6.75

Follow Order of Operations

y+9*3/4

9*3/4 = 6.75

y+6.75

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1 year ago

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2 years ago

Write an equation of the line. Express the answer using either the general form or the slope-intercept form of the equation of

Georgia [21]

Answer:

y = x - 4

Step-by-step explanation:

The standard equation of a line is y = mx+b

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2 years ago

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Step-by-step explanation:

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2 years ago

Read 2 more answers

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

$P(t) = P(0)e^{rt}$

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

$\ln{e^{10r}} = \ln{1.25}$

$10r = \ln{1.25}$

$r = \frac{\ln{1.25}}{10}$

$r = 0.0223$

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

This is P(40).

$P(t) = 500e^{0.0223t}$

$P(40) = 500e^{0.0223*40} = 1220$

The population in 40 years will be 1220.

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3 years ago