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netineya [11]
3 years ago
7

Simon spends £28 over 7 days. Each day, he spends 50p more than the previous day.

Mathematics
1 answer:
garik1379 [7]3 years ago
3 0

This is about conversion of currencies.

<u><em>He spent £25 on the first day.</em></u>

  • We are told he had spent £28 over 7 days.

Each day, he spends 50 pence more than the previous day. This means that;

  • From conversion,

1 pound = 100 pence

Thus, 50 pence = (50 × 1)/100 = £0.5

  • If the money he spent on the first day is £x.
  • On second day, he would have spent a total of; £(x + 0.5)
  • On third day; x + 0.5 + 0.5= x + 1
  • On fourth day; x + 1 + 0.5 = x + 1.5
  • On fifth day; x + 1.5 + 0.5 = x + 2
  • On sixth day; x + 2 + 0.5 = x + 2.5
  • On seventh day; x + 2.5 + 0.5 = x + 3

  • Thus; x + 3 = 28

x = 28 - 3

x = £25

Read more at; brainly.com/question/22398109

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Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

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  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

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<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

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You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
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