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3 years ago

In a 30% off sale, the price of an item is reduced by £27.

Mathematics

1 answer:

Serggg [28]3 years ago

3 0

Answer: the original cost of the item is 90$

Step-by-step explanation:

30% off of the item = 27$

27 dollar is 30% of the item

thus 27 = 0.30X

0.30X = 27

time both side by 10

3X = 270

270/3 = 90

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3 years ago

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3 years ago

Describes the function y = -2 x + 5?

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4 years ago

In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

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This sequence is geometric if:

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$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

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$\frac{1}{4} = \frac{1}{4}$

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

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3 years ago