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3 years ago

. Toby invested £4500 for 2 years in a savings account. He was paid 4% per annum COMPOUND

Mathematics

1 answer:

Anton [14]3 years ago

4 0

Answer:

£4867.2

Step-by-step explanation:

Given data

P= £4500

T=2 years

R= 4%

The compound interest expression

A=P(1+r)^t

substitute

A= 4500(1+0.04)^2

A=4500(1.04)^2

A=4500*1.0816

A=£4867.2

Hence the balance is £4867.2

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AG and GB must be congruent and CG and GD must be congruent as well

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3 years ago

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P=$222 r=12% Y=10 A=?

sergey [27]

To solve for the A or the principal amount plus interest you can use two formulas:

A = P + I

Where: P = Principal
I = Interest

or you can use

A = P (1+ rt)

Where: P = principal
r = rate in decimal
t = time in years

With your given you can use the second one, without having to use the first.
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12.

Then now we can just input the data that you know into the formula:
A = P(1+ rt)
= $222(1 + (0.12)(10))
= $222(2.2)
= $488.40

Your A is then equal to $488.40

If you need to get the simple interest all you need to use is the first formula given:

A = P + I
for the interest you transpose the P to the side of the A and you will get:
I = A - P
= $488.40 - $222
= $266.40

$266.40 is the added interest to the principal amount.

7 0

3 years ago

A container manufacturer plans to make rectangular boxes whose bottom and top measure 4x by 3x. The container must contain 48in.

alex41 [277]

The height of the container that will be able to minimize the cost will be 3.08cm.

<h3>How to calculate the height?</h3>

The volume of the box will be:

= (3x)(4x)h

= 12x²h

From the information given, we are told that the container must contain 48in³. Therefore,

48 = 12x²h

h = 4/x²

The function cost will be:

= 3.50(2)(12x²) + 4.40(14x)h

= 84x² + 61.6x(4/x²)

= 84x² + 246.4/x

We'll use the first derivative. This will be:

dC/dx = 168x - 246.4/x²

x = 1.14.

Therefore, the height will be:

h = 4/x² = 4/1.14² = 3.08cm

In conclusion, the height is 3.08cm.

Learn more about height on:

brainly.com/question/1557718

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2 years ago

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yulyashka [42]

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