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Alecsey [184]
3 years ago
11

A bottie contains 255 coins.

Mathematics
1 answer:
mash [69]3 years ago
6 0

Answer:

£152

Step-by-step explanation:

Solution:

Find out how much is 1/3 of 255 coins:

255 x 1/3 = 85

Since you know how many 50p and £1 coins there are, the remaining of the coins after the 50p and £1 get deducted from the total coins.

255 - 85 - 110 = 60

There are 60 20p coins, 85 £1 coins and 110 50p coins.

Find out the total value by calculating them all altogether.

60 x 20p = 1200

85 x 100p which is £1 = 8500

110 x 50p = 5500

I did them separately so that it wouldn't be so confusing.

Convert them into £, then after that add them up.

£12 + £85 + £55 = £152

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xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

Given: P = $3000, r = 0.085

                A = Pe^{rt}

Where

A is the Amount

P is the Principal

r is the rate

t is the time

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               A = 2 × $3000

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               \frac{6000}{3000} = e^{0.085t}

               2 = e^{0.085t}

Take log_{e} of both sides

               log_{e}2 = log_{e}e^{0.085t}

But log_{e}e = 1

            ∴ ln2 = 0.085t

               t = \frac{ln2}{0.085}

               t = \frac{0.693}{0.085}

               t = 8.15

(b) For the amount to double, A = 3 × P

               A = 3 × $3000

               A = $9000

               9000 = 3000e^{0.085t}

               \frac{9000}{3000} = e^{0.085t}

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Take log_{e} of both sides

               log_{e}3 = log_{e}e^{0.085t}

But log_{e}e = 1

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               t = \frac{ln3}{0.085}

               t = \frac{1.0986}{0.085}

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5 0
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miv72 [106K]
For this case we have the following vectors:
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c = (- 1, -1,2)
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