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UkoKoshka [18]
3 years ago
9

Find the future value if £7400 is invested for 6 years at 12.8% p.a.

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
5 0

Answer:

5683.2 Euro's

Step-by-step explanation:

i=

p=7400 Euro's

r=12.8*1/100

t=6yrs

I=P*R*T

7400*12.8/100*6

=5683.2 Euro's

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Find the y value for the point that divides the line segment CD into a ratio of 4:1.
7nadin3 [17]

Answer:

We also drew a graph with 2 examples.

Step-by-step explanation:

If we have the line segment  CD, we can divide it by 4: 1 as follows:

If point C has the coordinates (x1, z1) and point D has the coordinates (x2, z2), we calculate coordinate the points Y as follows:

y1 = (x2-x1) · 4/5

y2 = (z2-z1) · 4/5

In this way we have obtained the point Y with the coordinates (y1, y2), and the point Y divides the line segment  CD by 4:1.

We also drew a graph with 2 examples.

3 0
3 years ago
Aisha recorded the heights, in centimetres, of some girls.
sertanlavr [38]

Answer:

The median is marked at 161cm instead of 162cm.

The right part of the box (the upper quartile) is marked at 172cm, while the interquartile range is 17cm, so the upper quartile should be at 154cm + 17cm = 171cm.

5 0
3 years ago
Can some one answer quickly please
denis-greek [22]

Answer:

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Step-by-step explanation:

hope this helps :)

3 0
3 years ago
Find an equation for the plane that is tangent to the surface z equals ln (x plus y )at the point Upper P (1 comma 0 comma 0 ).
alexira [117]

Let f(x,y,z)=z-\ln(x+y). The gradient of f at the point (1, 0, 0) is the normal vector to the surface, which is also orthogonal to the tangent plane at this point.

So the tangent plane has equation

\nabla f(1,0,0)\cdot(x-1,y,z)=0

Compute the gradient:

\nabla f(x,y,z)=\left(\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y},\dfrac{\partial f}{\partial z}\right)=\left(-\dfrac1{x+y},-\dfrac1{x+y},1\right)

Evaluate the gradient at the given point:

\nabla f(1,0,0)=(-1,-1,1)

Then the equation of the tangent plane is

(-1,-1,1)\cdot(x-1,y,z)=0\implies-(x-1)-y+z=0\implies\boxed{z=x+y-1}

7 0
4 years ago
Nat sews a triangle on an apron. The three sides of the triangle measure 3 inches, 4 inches, and 5 inches. Which best represents
maria [59]

Answer:

Is a scalene right triangle

Step-by-step explanation:

Classify the triangle

By the interior angles

Applying the Pythagoras Theorem

c^{2}=a^{2} +b^{2}

substitute the values

5^{2}=3^{2} +4^{2}

25=25 ------> is true

therefore

Is a right triangle

By the length sides

The triangle has three unequal sides

therefore

Is a scalene triangle

4 0
3 years ago
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