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fomenos
3 years ago
6

The"off-peak"weekly average cost of hiring a caravan in wales is £520. In July the average cost increases to £800. Calculate the

percentage increase in cost.
Mathematics
1 answer:
mafiozo [28]3 years ago
7 0

Answer: 53.84%

Step-by-step explanation:

Given

The average cost of hiring is £520

The new increased cost of hiring is £800

Percentage increase is

\Rightarrow \%=\dfrac{\text{New value-old value}}{\text{old value}}\times 100

Putting values

\Rightarrow \dfrac{800-520}{520}\times 100=53.84\%

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The sum of the first 150 negative integers is represented using the expression
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Answer:

\large\boxed{-11,325}

Step-by-step explanation:

First simplify:

-1-(n-1)=-1-n-(-1)=-1-n+1=-n

Therefore we have:

\sum\limits_{n=1}^{150}[-1-(n-1)]=\sum\limits_{n=1}^{150}(-n)=(-1)+(-2)+(-3)+...+(-150)\\\\-1,\ -2,\ -3,\ -4,\ ...,\ -150-\text{it's the arithmetic sequence}\\\text{with the common difference d = -1.}\\\\\text{The formula of a sum of terms of an arithmetic sequence:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\text{Substitute}\ n=150,\ a_1=-1,\ a_n=-150:\\\\S_{150}=\dfrac{-1+(-150)}{2}\cdot150=(-151)(75)=-11,325

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78 is the answer BEST OF LUCK
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3 years ago
Answer choices are<br> a. 90<br> b. 40<br> c. 10<br> d. 50<br><br> please help
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Answer: d. 50

Steps:

1. Find value of x.

5x + 4x = 90

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2. Use x value to find ∠EDH.

∠EDH = 5x

∠EDH = 5(10)

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Tpy6a [65]

Answer with Step-by-step explanation:

The given differential equation is

(2x+5y)dx+(5x-4y)dy=0

Now the above differential equation can be re-written as

P(x,y)dx+Q(x,y)dy=0

Checking for exactness we should have

\frac{\partial P}{\partial y}=\frac{\partial Q}{\partial x}

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As we see that the 2 values are equal thus we conclude that the given differential equation is exact

The solution of exact differential equation is given by

u(x,y)=\int P(x,y)dx+\phi(y)\\\\u(x,y)=\int (2x+5y)dx+\phi (y)\\\\u(x,y)=x^2+5xy+\phi (y)

The value of \phi (y) can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)

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4 years ago
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