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FromTheMoon [43]

3 years ago

5

It is 7 times as much to go to an amusement park as it is to go to the movies if it is $9 to go to the movies how much is it to

go to the amusement park?

2 answers:

julsineya [31]3 years ago

3 0

It will be 63 dollars to go to a amusement park

Lemur [1.5K]3 years ago

3 0

It equals 63 because you have to times 9 and 7 to get the right answer

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Show all work below to answer the following for a certain city that had a population of 150,000 in the year 2010. In 2020, the p

Gelneren [198K]

The constant rate of continuous growth, k, for this population is equal to 2.11935%. And the population will reach 250,000 people in 24.36 years.

For solving this question, you should apply the Population Growth Equation.

<h3>Population Growth Equation</h3>

The formula for the Population Growth Equation is:

$P_f=P_o*(1+\frac{R}{100} )^t$

Pf= future population

Po=initial population

r=growth rate

t= time (years)

STEP 1 - Find the constant rate of continuous growth, k, for this population.

For this exercise, you have:

Pf= future population= 185,000 in 2020.

Po=initial population =150,000 in 2010.

r=growth rate= ?

t= time (years)=2020-2010=10

Then,

$P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 185000=150000\cdot \left(1+\frac{R}{100}\:\right)^{10}\\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{185000}{150000} \\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{37}{30}\\ \\ R=100\sqrt[10]{\frac{37}{30}}-100=2.11935\%$

STEP 2 - Find the <em>t</em> for population 250,000 people.

$P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 250000=150000\cdot \left(1+\frac{2.11935}{100}\:\right)^{10}\\ \\ \left(1+\frac{2.11935}{100}\right)^{10}=\frac{250000}{150000} \\ \\ \left(1+\frac{2.11935}{100}\right)^t=\frac{5}{3}\\ \\ t\ln \left(1+\frac{2.11935}{100}\right)=\ln \left(\frac{5}{3}\right)\\ \\ t=\frac{\ln \left(\frac{5}{3}\right)}{\ln \left(\frac{102.11935}{100}\right)}\\ \\ t=24.36$

Read more about the population growth equation here:

brainly.com/question/25630111

7 0

2 years ago

(CO 2) A random selection from a deck of cards selects one card. What is the probability of selecting a spade

lora16 [44]

Answer:

$P(Spade) = 0.25$

Step-by-step explanation:

Given.

In a deck, there are:

$Cards = 52$

$Spade= 13$

Required

Determine the probability that a selected card is a spade

This is represented as: P(Spade) and it is calculated using:

$P(Spade) = \frac{Spade}{Cards}$

Substitute 13 for Spade and 52 for Cards

$P(Spade) = \frac{13}{52}$

$P(Spade) = 0.25$

<em>Hence, the required probability is 0.25</em>

3 0

3 years ago

SOMEBODY HELPPP PLEASEEEE. I don’t understand

gulaghasi [49]

Answer:

a) 18

b) 10

c) x^2 - 4x + 5

d) 4x^2 + 2

Step-by-step explanation:

f(x) = 4x - 2

g(x) = x^2 + 1

a) f(5) = 4(5) - 2 = 20 - 2 = 18.

b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.

c) g(x - 2)...

g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.

d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.

Hope this helps!

8 0

4 years ago

Solve the following 4x-3=2x+7

garri49 [273]

Answer: x=5 (simplified)

5 0

3 years ago

Read 2 more answers

The width of a rectangle is 5 inches less than twice the length. The area of the rectangle is 700 square inches. What is the len

Ede4ka [16]

To calculate the length of the rectangle we let the length be x in, let width be
(2x-5) inches
The area will be given by:
A=length×width
A=x(2x-5)
but
A=700 in²
thus
700=x(2x-5)
700=2x²-5x
this can be written in quadratic form as:
2x²-5x-700=0
solving the quadratic we get:
x=20 or x=-35/2
since the length cannot be negative then:
x=20 in
thus the width will be:
2*20-5
=40-5=35 inches

8 0

4 years ago