3 years ago

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Mathematics

1 answer:

Roman55 [17]3 years ago

7 0

Answer:

Step-by-step explanation:

27 ÷ 90 = 0.3 = 0.30 = 30%

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2x8=16 HOPE IT WORKED

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The price of a toy usually costing £50 is increased to £65

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In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its pri

zloy xaker [14]

Given:

Price of gold in 2001 = (0.5x+300)

Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to $\dfrac{2}{3}$ of the price in 2011.

To find:

An expression for the price of gold per ounce in 2016.

Solution:

We have,

Price of gold in 2001 $= (0.5x+300)$

Its price tripled in 2008.

Price of gold in 2008 $= 3(0.5x+300)$

Then doubled in 2011.

Price of gold in 2011 $= 2\times 3(0.5x+300)$

In 2016, its price dropped to $\dfrac{2}{3}$ of the price in 2011.

Price of gold in 2016 $=\dfrac{2}{3}\times 2\times 3(0.5x+300)$

$=2\times 2(0.5x+300)$

$=4(0.5x+300)$

$=4(0.5x)+4(300)$

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Therefore, the required expression for the price of gold per ounce is (2x+1200).

8 0

3 years ago

The second term in a geometric sequence is 20. The fourth term in the same sequence is 45/4, or 11.25. What is the common ratio

Elanso [62]

We use equations for geometric sequence. We do as follows:

a(n) = a(1) r^(n-1)
20 = ar^(2-1)
20 = ar
a = 20/r

11.25= ar^(4-1)
11.25 = ar^3
11.25 = (20/r)r^3
r = 0.75

Hope this answers the question. Have a nice day.

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4 years ago

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