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3 years ago

Dan invests £3400 into his bank account.

Mathematics

1 answer:

Temka [501]3 years ago

5 0

Answer: £4597.82

Step-by-step explanation:

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triumphant college is planning to increase the registration fee by 11.5%.if the registration fee is currently N$ 1000, how much

frozen [14]

Current registration fee at triumphant college = N$ 1000

Percentage by which the registration fee will be increased next year = 11.5%

Registration fee at triumphant college next year :

= Current registration fee + 11.5% of current registration fee

$=\tt1000 + \frac{115}{10 \times 100} \: \: of \: \: 1000$

$= \tt1000 + \frac{115}{1000} \times 1000$

$=\tt 1000 + \frac{115000}{1000}$

$=\tt 1000 + 115$

$\color{plum} = \tt \:\bold{ N\$ \: 1115}$

Therefore, the registration fee at triumphant college next year = <u>N$ 1115</u>

5 0

3 years ago

Factor the expression over the complex numbers.<br><br><img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2B18" id="TexFormula1

AleksAgata [21]

Here we are given the expression:

$x^{2}+18$

Now let us equate it to zero to find x first,

$x^{2}+18=0$

Now subtracting 18 from the other side,

$x^{2}=-18$

taking square root on both sides,

So we will get two values of x as ,

$x=3\sqrt{-2}$

$x=-3\sqrt{-2}$

Now we can write square root -1 as i,

So our factors become,

$x=3i\sqrt{2}$

$x=-3i\sqrt{2}$

Answer:

The final factored form becomes,

$(x+3i\sqrt{2})(x-3i\sqrt{2})$

7 0

3 years ago

Read 2 more answers

Find the equation of the sphere passing through P(negative 4 comma 7 comma 6 )and Q(8 comma negative 3 comma 5 )with its center

Juli2301 [7.4K]

Answer: The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

Step-by-step explanation:

The centre of the sphere is the midpoint of the diameter, which is

1/2

[(-4,7,6) + (8,-3,5)] =(2,2,5/2)

The length of the diameter is

=sqrt |(8,-3,5) - (-4,7,6)|^2

=sqrt (12^2 + (-10)^2 + (-1)^2)

=sqrt (144+100+1)

=sqrt(245)

so the radius of

the sphere is:

1/2(sqrt(245)) = sqrt(245)/2.

The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

4 0

3 years ago

Work out th following in standard form 3000 x 5000

Sedaia [141]

5x10^3 is the answer

5 0

3 years ago

Read 2 more answers

A seagull has a vertical position a, and a shark has a vertical position b. Draw and label a point on the vertical axis to show

notsponge [240]

Answer:

Image attached

Step-by-step explanation:

The question asks to represent the position of two animals in a the cartesian coordinates plane. This is two perpendicular axis, the y-axis is the vertical one and the x-axis is the horizontal one. The animals are represented by dots, called a for the seagull and b for the shark.

Since the y-axis is the vertical axis and they ask to draw the points with a verical difference between them, we will draw the points in it.

Say the x-axis represents the sea surfice. The seagull would be over the sea, and the shark under the sea surfice (under x-axis).

This is the resulting drawing

5 0

3 years ago