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2 years ago

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

Mathematics

1 answer:

Anton [14]2 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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If y varies inversely as x, and y = 10 when x = 20,<br> find x when y = 16.

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Answer:

12.5

Step-by-step explanation:

y varies inversely as x.

y = k/x

10 = k/20

200 = k

The constant proportion k is 200.

16 = 200/x

Cross multiply.

200 = 16x

200/16 = x

x = 12.5

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3 years ago

Identify the transformation performed on the figure below

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A) Translation

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2 years ago

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What is the answer for 7÷ 4/5

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Answer:

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2 years ago

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One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second

algol13

Answer:

Therefore the third container contains $\frac{735}{17}\%$ = 43.23 % acid.

Step-by-step explanation:

Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.

Let the volume of first container be x cubic unit.

Since the volume of second container is 55% larger than the first.

Then the volume of the second container is

$= (V\times \frac{100+55}{100})$ cubic unit.

$=\frac{155}{100}V$ cubic unit.

The amount of acid in first container is

$=V\times \frac{25}{100}$ cubic unit.

$=\frac{25}{100}V$ cubic unit.

The amount of acid in second container is

$=(\frac{155}{100}V \times \frac{55}{100})$ cubic unit.

$=\frac{8525}{10000}V$ cubic unit.

Total amount of acid $=(\frac{25}{100}V+\frac{8525}{10000}V)$ cubic unit.

$=(\frac{2500+8525}{10000}V)$ cubic unit.

$=(\frac{11025}{10000}V)$ cubic unit.

Total volume of mixture $=(V+\frac{155}{100}V)$ cubic unit.

$=\frac{100+155}{100}V$ cubic unit.

$=\frac{255}{100}V$ cubic unit.

The amount of acid in the mixture is

$=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%$

$=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%$

$=\frac{735}{17}\%$

Therefore the third container contains $\frac{735}{17}\%$ acid.

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2 years ago

Three functions are given below: f(x), g(x), and h(x).

Rzqust [24]

Answer: The axis of symmetry is x=1.

Explanation:

The given function is,

$g(x)=5x^2-10x+7$

The degree of the equation is 2. SInce it is a quadratic function therefore the graph of the function is a parabola.

The axis of symmetry of a parabolic function $f(x)=ax^2+bx+c$ is a vertical line,

$x=-\frac{b}{2a}$

Since the value of a is 5m b is -10 and c is 7, So the axis of symmetry is,

$x=-\frac{(-10)}{2(5)}$

$x=\frac{10}{10}$

$x=1$

Therefore, the axis of symmetry is x=1.

5 0

2 years ago