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3 years ago

WHAT DOES THIS MEAN GIMME THE ANSWER

Mathematics

1 answer:

BARSIC [14]3 years ago

3 0

Answer:

This is a geometric sequence and the ratio is equal to 4.

Step-by-step explanation:

Arithmetic means you can continue the sequence through addition or subtraction.

Geometric means you can continue the sequence through multiplication or division.

To get from 3 to 12, we could either add 9 (arithmetic) or multiply by 4 (geometric).

To get from 12 to 48, we could either add 36 or multiply by 4.

Since we are looking for a pattern, the sequence would be geometric. This is because the sequence can be continued by multiplying by 4 each time. It cannot be arithmetic because we cannot add by 9 each time.

On a side note, common difference is used when describing arithmetic while ratio is used to describe geometric.

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Answer:

Brionny invested £8400.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

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In this question:

We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.

First year:

Amount of 2% interest, during 1 year.

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The total amount at the end of the first year is:

$T = E + P = 0.02P + P = 1.02P$

Second year:

We have that:

$P = 1.02P$

The interest earned is of:

$E = P*I*t = 1.02P*0.01*1 = 0.0102P$

The total amount is:

$T = E + P = 0.0102P + 1.02P = 1.0302P$

After two years, the investment is worth £8653.68 How much did Briony invest?

$1.0302P = 8653.68$

$P = \frac{8653.68}{1.0302}$

$P = 8400$

Brionny invested £8400.

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