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2 years ago

The average house price in London in 2017 was £474902

Mathematics

1 answer:

yulyashka [42]2 years ago

5 0

The percentage change in house prices between 2017 and 2018 is -1.13%.

Percentage can be described as a fraction of a number expressed as a number out of hundred. The sign used to represent percentages is %.

In order to determine the percentage change in average house price, the difference between average housing pricing in 2018 and 2017 would be divided by the average house price in 2017 and the result would be multiplied by 100.

Percentage change = [(£469538 - £474902) / £474902] x 100 = -1.13%

To learn more about percentages, please check: brainly.com/question/25764815

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Aaron can run 4 miles in 30 minutes. How long does it take him to run one mile

stealth61 [152]

You first divide 30 by 4 to see how long it takes him to run one mile. Then you get 30/4 which simplified is 15/2 minutes

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2 years ago

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A swimming pool whose volume is 10 comma 000 gal contains water that is 0.03% chlorine. Starting at tequals0, city water conta

Katarina [22]

Answer:

C(60) = 2.7*10⁻⁴

t = 1870.72 s

Step-by-step explanation:

Let x(t) be the amount of chlorine in the pool at time t. Then the concentration of chlorine is

C(t) = 3*10⁻⁴*x(t).

The input rate is 6*(0.001/100) = 6*10⁻⁵.

The output rate is 6*C(t) = 6*(3*10⁻⁴*x(t)) = 18*10⁻⁴*x(t)

The initial condition is x(0) = C(0)*10⁴/3 = (0.03/100)*10⁴/3 = 1.

The problem is to find C(60) in percents and to find t such that 3*10⁻⁴*x(t) = 0.002/100.

Remember, 1 h = 60 minutes. The initial value problem is

dx/dt= 6*10⁻⁵ - 18*10⁻⁴x = - 6* 10⁻⁴*(3x - 10⁻¹) x(0) = 1.

The equation is separable. It can be rewritten as dx/(3x - 10⁻¹) = -6*10⁻⁴dt.

The integration of both sides gives us

Ln |3x - 0.1| / 3 = -6*10⁻⁴*t + C or |3x - 0.1| = e∧(3C)*e∧(-18*10⁻⁴t).

Therefore, 3x - 0.1 = C₁*e∧(-18*10⁻⁴t).

Plug in the initial condition t = 0, x = 1 to obtain C₁ = 2.9.

Thus the solution to the IVP is

x(t) = (1/3)(2.9*e∧(-18*10⁻⁴t)+0.1)

then

C(t) = 3*10⁻⁴*(1/3)(2.9*e∧(-18*10⁻⁴t)+0.1) = 10⁻⁴*(2.9*e∧(-18*10⁻⁴t)+0.1)

If t = 60

We have

C(60) = 10⁻⁴*(2.9*e∧(-18*10⁻⁴*60)+0.1) = 2.7*10⁻⁴

Now, we obtain t such that 3*10⁻⁴*x(t) = 2*10⁻⁵

3*10⁻⁴*(1/3)(2.9*e∧(-18*10⁻⁴t)+0.1) = 2*10⁻⁵

t = 1870.72 s

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3 years ago

The revenue of a company that makes backpacks is given by the formula R = 34.S0x, where x represents the number of backpacks sol

alexgriva [62]

Answer:

Revenue = 1380

Step-by-step explanation:

Given:

Revenue means the sales or turnover of a company when it sells its products. In other words, it is nothing but the income of a company on selling the products.

Here, the company is selling backpacks. So, revenue is the amount earned by the company on selling 'x' backpacks. The linear model to represent the same is given below.

The revenue received from selling 'x' backpacks is given as:

$R=34.50x$

Number of backpacks sold (x) = 40

Now, in order to find the revenue received on selling 40 backpacks, we need to plug in 40 for 'x' in the equation above and solve for the revenue, 'R'.

On plugging 40 for 'x', we get:

$R=34.50\times 40\\\\R=1380$

Therefore, the revenue received by the company on selling 40 backpacks is 1380.

8 0

3 years ago

Leader is a stockbroker 14% commission each week last week she said $7200 worth of stocks how much did she make last week interm

Feliz [49]

Answer:

$1,008 weekly, $52,416 annually

Step-by-step explanation:

14% of $7200 is 7200 multiplied by .14 (% is decimal multiplied by 100)

.14 of 7200 = 1008

Since you specified the year, I'm going to assume that you need the annual salary based on the weekly salary that she gets from commissions.

$1008 per week, 52 weeks in a year

52 * 1008 = $52416, her commission in 2011

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2 years ago

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Korvikt [17]

Answer:

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3 years ago

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