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Molodets [167]
4 years ago
14

Decrease £19064.67 by 9.5% Give your answer rounded to 2 DP.

Mathematics
1 answer:
alina1380 [7]4 years ago
6 0

Answer:

New amount (decrease) = £17253.53

Step-by-step explanation:

<u>Given the following data;</u>

Amount = £19064.67

Percentage = 9.5%

To find the percentage decrease;

Percentage \; cost = \frac {9.5}{100} * 19064.67

Percentage \; cost = 0.095 * 19064.67

Percentage cost = £1811.14

New amount (decrease) = Original amount - percentage cost

Substituting into the equation, we have;

New amount (decrease) = £19064.67 - £1811.14

<em>New amount (decrease) = £17253.53</em>

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What are the roots of the quadratic equation 2x2+7x+4=0? Select all that apply.
skad [1K]

Answer:

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x=\frac{-7+\sqrt{17}} {4}

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x=\frac{-7-\sqrt{17}} {4}

Step-by-step explanation:

we have

2x^2+7x+4=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

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2x^2+7x+4=0

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x=\frac{-7\pm\sqrt{7^{2}-4(2)(4)}} {2(2)}

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x=\frac{-7+\sqrt{17}} {4}

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7 0
3 years ago
For each carbon-14 atom, there are approximately 10^12 carbon-12 atoms. This ratio is constant in each organism. The carbon-12 r
Bond [772]

Answer:

1) There are 100 carbon-14 atoms in the wood when it died

2) A function that models the number 'N' of carbon-14 atoms present in the wood (t) years after it died is  presented as follows;

N = 100 \times \left (\dfrac{1}{2} \right )^{\dfrac{t}{5,730} }

Step-by-step explanation:

The given parameters are;

The number of carbon-12 for each carbon-14 atom ≈ 10¹² carbon-12 atoms

The number of carbon-12 in the piece of wood = 10¹⁴ carbon-12 atoms

The number of carbon-14 in the piece of wood = 40 carbon-14 atoms

The number of carbon-12 in an organism = Constant

The number of carbon-14 in an organism = Decays

1) Given that the number of carbon-12 in an organism is constant, and there are 10¹² carbon-12 atoms per each carbon-14 atom, therefore, we have;

The number of carbon-12 atoms in the wood when it died = 10¹⁴ carbon-12 atoms

The number of carbon-14 atoms in the wood when it died = (10¹⁴ carbon-12 atoms)/(10¹² carbon-12 atoms/(carbon-14 atom)) = 100 carbon-14 atoms

The number of carbon-14 atoms in the wood when it died = 100 carbon-14 atoms

2) The half life of a radioactive isotope is given by the following formula;

N(t) = N_0 \cdot \left (\dfrac{1}{2} \right )^{\dfrac{t}{t_{\frac{1}{2} }} }

The half life of carbon-14 atoms, t_{\frac{1}{2} } ≈ 5,730 years

N₀ = The amount of carbon-14 present in the wood when it died = 100 carbon-14 atoms

Therefore, we have;

The number, N, of carbon-14 atoms present in the wood (t) years after it died is given as follows;

N = 100 \times \left (\dfrac{1}{2} \right )^{\dfrac{t}{5,730} }

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