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3 years ago

How old am I if 300 reduced by 3 times my age is 39?

Mathematics

1 answer:

Tanzania [10]3 years ago

6 0

Let your age represent X

300-3x=39

x= 87

you are 87 years old

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

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

4 0

2 years ago

An airline charges $150 for a ticket and $20 for each bag. Which equation shows the relationship between the number of bag, b ,

zhenek [66]

Answer:

c = 150 + 20b

Step-by-step explanation:

Given:

Ticket charges = $150

Each bag carry cost = $20

Find:

Relationship between bag(b) and cost(c)

Computation:

⇒ Total cost = Ticket charges + $20(number of bags)

⇒ c = 150 + 20(b)

⇒ c = 150 + 20b

5 0

3 years ago

I already know the answer to this but

irina [24]

Answer:

yes

Step-by-step explanation:

5 0

3 years ago

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At what position does the ball have its maximum potential energy

Anuta_ua [19.1K]

Potential energy<span> is the </span>energy<span> possessed by an object because of its position.
So it is D the highest point of the trajectory. </span>

7 0

3 years ago

Read 2 more answers

Solve the following equation by first writing the equation in the form ax² = c

alexandr1967 [171]

The solution to the given equation is x = ±7. The correct option is d. x = ±7

<h3>Solving quadratic equations </h3>

From the question, we are to determine the solution to the given equation

The given equation is

x²-49 = 0

NOTE: I assumed the variable is x

Solving the equation

x²-49 = 0

Writing in the form ax²= c

x² = 49

∴ x = ±√49

x = ±7

Hence, the solution to the given equation is x = ±7

Learn more on Solving quadratic equations here: brainly.com/question/24334139

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3 0

2 years ago