Percentage increase please use working out

Mathematics

1 answer:

S_A_V [24]3 years ago

7 0

Answer:

$15.22\%$

Step-by-step explanation:

The population in 1981 is 46 million.

In 2011, the population increased to 53 million.

The increase in population is (53 -46)million =7 million

Now we express 7 million as a percentage of 46 million

$=\frac{7}{46}*100\%$

$=0.1522*100\%$

=15.22%

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Need help with this please.

sp2606 [1]

Answer:

$y = -\frac{3}{2} x + 4$

Step-by-step explanation:

First, let us find the gradient of AB:

Gradient of AB = $\frac{-1-3}{-1-5}$

= $\frac{2}{3}$

We also need to know that The product of gradients which are perpendicular to each other is -1. Using this idea, we can find the gradient of the perpendicular bisector:

(Gradient of perpendicular bisector)( $\frac{2}{3}$ ) = -1

Gradient of perpendicular bisector = $-\frac{3}{2}$

Now, we need to know at which coordinates the perpendicular bisector intersects AB. A perpendicular bisector bisects a line to two equal parts. Hence the coordinates of the intersection point is the midpoint of AB. Thus,

Coordinates of intersection = ( $\frac{-1 + 5}{2}$ , $\frac{-1 + 3}{2}$ )

= ( 2, 1 )

Now, we can construct our equation. The equation of a line can be formed using the formula $(y - y_{1}) = m(x - x_{1})$ where $m$ is the gradient and the line passes through $(x_{1} , y_{1} )$ . Hence by substituting the values, we get: