Max invests some money in a savings bond.

Mathematics

1 answer:

Mars2501 [29]3 years ago

7 0

Answer:

£5650

Step-by-step explanation:

The money max invested in the saving bond = x

After one year the intrest will be 2% of x

Amount = £5763

Amount = Principcal + Interest

= £5763 = x + 2% multiplied x

£5763 = x + 2x/100

= 50x/50 + x/50 = 5763

= 51x/50 = £5763

51x = 5763x50

51x = 288, 150

x = 288,150/51

x = 5650

So the money max invested = £5650

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An explorer in the dense jungles of equatorial Africa leaves his hut. He takes 40 steps northeast, then 80 steps 60 degrees nort

damaskus [11]

Setting the coordinate system: positive x points to the east and positive y points to the north. This can be solved by vector addition.

A = <40cos(45), 40sin(45)>
B = <-60cos(60), 60sin(60)>
C = <0, -50>

R = A + B + C = <-1.72, 80.25>

The displacement that needs to return him is by the vector -R.

Therefore, <1.72, -80.25>

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3 years ago

ANSWER ASAP! Geometry 10A

Aleksandr-060686 [28]

The coordinates of the vertices of each image are:

W' = (1 , 3) , X' = (4 , 2) , Y' = (1 , -3) , Z' = (-3 , 0) ⇒ C

Step-by-step explanation:

Let us revise the rotation about the origin

If point (x , y) rotated about the origin by angle 90° counterclockwise, then its image is (-y , x)
If point (x , y) rotated about the origin by angle 180° counterclockwise, then its image is (-x , -y)
If point (x , y) rotated about the origin by angle 270° counterclockwise, then its image is (y , -x)
If point (x , y) rotated about the origin by angle 90° clockwise, then its image is (y , -x)
If point (x , y) rotated about the origin by angle 180° clockwise, then its image is (-x , -y)
If point (x , y) rotated about the origin by angle 270° clockwise, then its image is (-y , x)
There is no difference between rotating 180° clockwise or counterclockwise around the origin

∵ The vertices of the figure are W (-3 , 1) , X (-2 , 4) , Y (3 , 1) , Z (0 , -3)

∵ The figure is rotated 90° clockwise (270° counterclockwise)

about the origin

- Change the sign of the x-coordinate of each point and switch the

two coordinates as the 3rd or 4th rule above

∴ W' = (1 , 3) , X' = (4 , 2) , Y' = (1 , -3) , Z' = (-3 , 0)

The coordinates of the vertices of each image are:

W' = (1 , 3) , X' = (4 , 2) , Y' = (1 , -3) , Z' = (-3 , 0)

Learn more:

You can learn more about rotation in brainly.com/question/9720317

#LearnwithBrainly

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