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3 years ago

As an estimation we are told £3 is €4. Convert £27 to euros

1 answer:

5 0

To convert £27 to euros we must figure out the conversion rate of £ to € by dividing 4/3
4/3=1.3 recurring
then we times the £27 by 1.3 recurring
27x1.3 recurring = 36

Therefore £27 in euros is €36

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The population of a community is known to increase at a rate proportional to the number of people present at time t. If the popu

Lady bird [3.3K]

Answer:

$P(t) = P(0)e^{0.0693t}$

Step-by-step explanation:

The population of a community is known to increase at a rate proportional to the number of people present at time t.

This means that the population growth is modeled by the following differential equation:

$\frac{dP(t)}{dt} = rP(t)$

Which has the following solution:

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

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

The population has doubled in 10 years

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

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

$2P(0) = P(0)e^{10r}$

$e^{10r} = 2$

$\ln{e^{10r}} = \ln{2}$

$10r = \ln{2}$

$r = \frac{\ln{2}}{10}$

$r = 0.0693$

So the equation that will estimate the population of the community in t years is:

$P(t) = P(0)e^{0.0693t}$

6 0

3 years ago

A bank loans a customer $66,000 for a period of 5 years. the simple interest rate of the loan is 10.5%. what is the total amount

MArishka [77]

66,000*0.15
9,900*5
49,500+66000
The answer is 115.500
I'm not sure if the whole thing is correct, but here is the easier way:
66,000(1+1.15)^5

6 0

3 years ago

The radius of the circle below intersects the unit circle at (Three-fifths, four-fifths). What is the approximate value of Theta

Fudgin [204]

The measured value of Theta is 53.1 degrees.

Given

The radius of the circle below intersects the unit circle at (3/5, 4/5).

<h3>What is tan theta?</h3>

The measure of the tan angle is defined as the ratio of perpendicular by the base.

The measure of the tan theta is;

$\rm Tan\theta=\dfrac{x}{y}$

Where the value of x is 3/5 and y is 4/5.

Substitute all the values in the formula

$\rm Tan\theta=\dfrac{x}{y}\\\\\rm Tan\theta=\dfrac{\dfrac{4}{5}}{\dfrac{3}{5}}\\\\\\Tan\theta = \dfrac{4}{5} \times \dfrac{5}{3}\\\\Tan \theta=\dfrac{4}{3}\\\\\theta=tan{-1}(\dfrac{4}{3})\\\\\theta=53. 1 \ degrees\\\\$