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vichka [17]
3 years ago
6

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

your answer to the nearest penny where appropriate.
Mathematics
1 answer:
motikmotik3 years ago
5 0

Answer:

Step-by-step explanation:

P = £1100

r = 5%

t = 6 years

I =P*r*t

I =1100*\frac{5}{100}*6\\\\I=11*5*6\\\\I = 330

Amount = P + I = 1100 + 330 = £1430

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Rasek [7]

Answer:

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6 0
3 years ago
5. Prove that opposite angles of a cyclic quadrilateral are supplementary.
Temka [501]

Answer:

See attached for the cyclic quadrilateral

To prove: <BAD + <BCD =180°

Construction: Join B and D to the centre O of circle ABCD

Proof  

With the lettering of the attached drawing,

                         <BOD = 2y    (angle at centre is 2 X angle at circumference)

            Reflex <BOD   = 2x     (angle at centre is 2 X angle at circumference)

                    ∴ 2x + 2y = 360°    (angle at point)

                       ∴ x + y   = 180°                    

       ∴ <BAD + <BCD   = 180°            

Step-by-step explanation:

The vertices of a cyclic quadrilateral lie on the circumference of the circle and the opposite angles of a cyclic quadrilateral lie in opposite segment of a circle.

The question is to prove that the opposite angles of a cyclic quadrilateral are supplementary that is 180°. Another way of stating this theory is 'Angles in opposite segments are supplementary'.

Note that the sum of supplementary angles is 180°.

3 0
3 years ago
What is the percent of increase from 400,000 to 500,000?
Aleks04 [339]

Answer:

25%

Step-by-step explanation:

500,000-400,000 = 100,000

100,000 / 400,000 = .25 or 25%

6 0
3 years ago
Read 2 more answers
Is the following argument valid? State why or why not. Use a truth table. If I like chocolate or ice cream, then I like candy.
hodyreva [135]
Yes this is a valid argument because you are stating that you like candy or chocolate more than you like ice cream
7 0
3 years ago
Able has a younger sister and an older brother. - Able’s age can be represented by x. - Able’s sister is 4 years younger than hi
kakasveta [241]

Answer:

5 years old

Step-by-step explanation:

Able has a younger sister and an older brother.

Able’s age can be represented by x.

Able’s sister (s) is 4 years younger than him. This can be represented as:

s = x - 4 [1]

Able’s older brother (b) is twice as old as he is. This can be represented as:

b = 2x [2]

The combined age of all three siblings is 32. This can be represented as:

x + s + b = 32 [3]

If we replace [1] and [2] in [3], we get:

x + (x - 4) + 2x = 32

4x = 36

x = 9

The age of Able's younger sister is:

s = x - 4 = 9 - 4 = 5

4 0
4 years ago
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