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3 years ago

HELP ASAP!!! NO LINKS!!! WILL REPORT!!!

Mathematics

1 answer:

Masteriza [31]3 years ago

3 0

Answer:

Step-by-step explanation:

Use trig ratios to solve for x. Side x is adjacent to the reference angle of 61 degrees, and the side that measures 59 is opposite the reference angle. This is the tangent ratio:

$tan61=\frac{59}{x}$ and

$x=\frac{59}{tan61}$ so

x = 32.7

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Solve the equation. 4x-3=5x-7

andrey2020 [161]

Answer:

x=4

Step-by-step explanation:

4x-3=5x-7

-1x-3=-7 Subtract the 5x on both sides

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x=4

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3 years ago

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

tiny-mole [99]

Answer:

The population in 20 years will be 781.

Step-by-step explanation:

The population of the town can be modeled by the following equation:

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

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

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

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

We use this to find r.

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

$625 = 500e^{10r}$

$e^{10r} = 1.25$

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 20 years

This is P(20)

$P(20) = 500e^{0.0223*20} = 781$

The population in 20 years will be 781.

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4 years ago

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Answer:

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Step-by-step explanation:

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