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

$231525.00

Step-by-step explanation:

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

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

is the value of her house in 2014

'i'  is the rate at which value is increasing

n is the number of years (periods).

From 2014 to 2017 it is 3 years, so n = 3.

Putting the values we get,

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).

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!