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2 years ago

Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years?

Mathematics

1 answer:

Ivenika [448]2 years ago

5 0

Answer:

£1430

Step-by-step explanation:

Given data

Principal =£1100

Rate= 5%

time = 6 years

The simple interest formula is

A=P(1+rt)

substitute

A=1100(1+0.05*6)

A=1100(1+0.3)

A=1100(1.3)

A=1100*1.3

A=£1430

Hence the balance is £1430

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A company must select 4 candidates to interview from a list of 12, which consist of 8 men and 4 women.

Radda [10]

Part A

If 4 candidates were to be selected regardless of gender, that means that 4 candidates is to be selected from 12.

The number of possible selections of 4 candidates from 12 is given by

$^{12}C_4= \frac{12!}{4!(12-4)!}= \frac{12!}{4!\times8!} =11\times5\times9=495$

Therefore, the number of selections of 4 candidates regardless of gender is 495.

Part B:


If 4 candidates were to be selected such that 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4.

The number of possible selections of 2 men candidates from 8 and 2 women candidates from 4 is given by

 $^{8}C_2\times ^{4}C_2= \frac{8!}{2!(8-2)!}\times 
\frac{4!}{2!(4-2)!} \\ \\ = 
\frac{8!}{2!\times6!}\times\frac{4!}{2!\times2!} 
=4\times7\times2\times3=168$

Therefore, the number of selections of 4 candidates such that 2 women must be selected is 168.

Part 3:

If 4 candidates were to be selected such that at least 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4 or 1 man candidates is to be selected from 8 and 3 women candidates is to be selected from 4 of no man candidates is to be selected from 8 and 4 women candidates is to be selected from 4.

The number of possible selections of 2 men candidates from 8 and 2 women candidates from 4 of 1 man candidates from 8 and 3 women candidates from 4 of no man candidates from 8 and 4 women candidates from 4 is given by

$^{8}C_2\times ^{4}C_2+ ^{8}C_1\times ^{4}C_3+ ^{8}C_0\times ^{4}C_4 \\ \\ = \frac{8!}{2!(8-2)!}\times \frac{4!}{2!(4-2)!}+\frac{8!}{1!(8-1)!}\times \frac{4!}{3!(4-3)!}+\frac{8!}{0!(8-0)!}\times \frac{4!}{4!(4-4)!} \\ \\ = \frac{8!}{2!\times6!}\times\frac{4!}{2!\times2!}+\frac{8!}{1!\times7!}\times\frac{4!}{3!\times1!}+\frac{8!}{0!\times8!}\times\frac{4!}{4!\times0!} \\ \\ =4\times7\times2\times3+8\times4+1\times1=168+32+1=201$

Therefore, the number of selections of 4 candidates such that at least 2 women must be selected is 201.

7 0

3 years ago

Read 2 more answers

A goat and a cow together weigh 190 kg 640 g. The weight of the goat is 59 kg 720 g. Find the weight of the cow

AVprozaik [17]

Answer: 130 kg 920 g

Step-by-step explanation:

Given

The weight of the goat is 59 kg 720 g

The combined weight of goat and cow is 190 kg 640 g

Suppose, the weight of the cow is x kg

We know, 1 kg=1000 g

Converting weight into kg

Goat weight

$=59+0.720\\=59.720\ kg$

Total weight

$=190+0.640\\=190.640\ kg$

Then, the cow weight is given by

$\Rightarrow 190.640-59.720\\\Rightarrow 130.920\ kg\ \text{or}\ 130\ kg\ 920\ g$

7 0

2 years ago

I have no idea please help

melamori03 [73]

22. Alternate angles

23. 4: ( $h_{b} = 2 \frac{a}{b}$ , substitute b with 10 and a with 20 and you get 4.)

24. 0.28: 0.12 + 0.60 = 0.72. Probability is always out of 1, so 1 - 0.72 should give you the probability of losing, which is 0.28.

8 0

2 years ago

D = {x:x is a factor of 12

lys-0071 [83]

Answer:

7 0

2 years ago

Read 2 more answers

On a piece of paper graph y < 2x - 3 then determine

andrezito [222]

Answer

3.5

Step-by-step explanation:

y < 2x - 3 = 3.5

2x is greater than y and y is an unknown value you can solve this by using a two step equation

5 0

3 years ago