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amm1812
3 years ago
6

At the start of 2014 Lucy's house was worth ?200000 the value of the house increased by 5% every year work out the value of her

house at the start of 2017
Mathematics
1 answer:
diamong [38]3 years ago
8 0

Answer:

$231525.00

Step-by-step explanation:

We know that the formula to calculate the increase at a certain growth rate is,

V_f=V_i\times(1+i)^n

Where, V_f is the value of house at the start of 2017

V_i is the value of her house in 2014

<em> 'i'  </em>is the rate at which value is increasing

<em>n </em>is the number of years (periods).

From 2014 to 2017 it is 3 years, so <em>n</em> = 3.

Putting the values we get,

V_f= 200000 (1+0.05)^3

V_f= 200000(1.05)^3

V_f= 200000 \times 1.157625

V_f= 231525

So the value of her house at the start of 2017 will be $231525.00

(I have assumed that the valuation is done in dollars).

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Answer:

\frac{\sqrt6 +\sqrt{11}}{\sqrt{5} + \sqrt{3}} \times \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} - \sqrt{3}} = \frac{\sqrt{30} - \sqrt{18} + \sqrt{55} - \sqrt{33}}{2}

Step-by-step explanation:

Let's translate what you've written in words to an expression with mathematical symbols.

\frac{\sqrt6 +\sqrt{11}}{\sqrt{5} + \sqrt{3}}

To solve this, you need to multiply both the numerator and denominator with the conjugate of the denominator.

\frac{\sqrt6 +\sqrt{11}}{\sqrt{5} + \sqrt{3}} \times \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} - \sqrt{3}} = \frac{\sqrt{30} - \sqrt{18} + \sqrt{55} - \sqrt{33}}{2}

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Suppose point j is the midpoint of segment lm where j(5, -1) and m(0, 6). what are the coordinates of end point l?
zalisa [80]

If the midpoint of segment lm where j(5, -1) and m(0, 6), then the coordinates of end point l is (10,-8)..

Midpoint:

Midpoint of a line segment is the point that is halfway between the endpoints of the line segment.

The formula for the midpoint is,

(x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

where,

(x_m,y_m) = coordinates of the midpoint

(x₁, y₁)   = coordinates of the first point

(x₂, y₂) = coordinates of the second point

Given,

Midpoint = j = (5,-1)

Second point =  m = (0,6)

Now, we have to find the first midpoint l.

Let (x,y) be the coordinates of l.

Then apply the values on the formula,

Then we get,

(5,-1)=(\frac{x+0}{2},\frac{y+6}{2})

Compare the values in order to find the coordinates,

=> 5 = (x + 0) / 2

=> 5 x 2 = x + 0

=> 10 = x

Similarly,

=> -1 = (y + 6) / 2

=> -1 x 2 = y + 6

=> -2 = y + 6

=> -2 - 6 = y

=> y = -8

Therefore, the coordinates of l is (10,-8).

To know more about Midpoint here.

brainly.com/question/28224145

#SPJ4

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2 years ago
The cashier has been directed to sell an item for half off its regular price of$1.98.what is the sale price
galben [10]
$1.98 divided by 2 is $0.99
So the sale price is $0.99
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