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Equate the equations of both lines together and find the common x co ordinate.

Sub it into any equation of either line and solve for the y co ordinate- and you have the X and Y co ordinate for the Point of contact.

Maths

How to find point of contact

In this scenario, value of the money increases by 3% each year for 2 years. To illustrate this:

2000 x 1.03 x 1.03 

I have multiplied it by 1.03 twice as the question is asking for the value of the account after 2 years.

This can also be written as:

2000 x 1.03^2 = £2121.80

Hope it helps!

If £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after 2 years?

X could be anything in between 6.25 - 6.35 as all the values in between when rounded to 1d.p give 6.3

I would write it as:
6.25 <_ x < 6.35

As x is greater than or equal to 6.25, but less than 6.35. 

Cynthia rounds a number x to one decimal place the result is 6.3

This can be very easily broken down:
Start with what you know- leave any prime numbers once you find them:

540- 2x270
270- 2x135
135- 5x27
27- 3x9
9-3x3

2x2x5x3x3x3

Collect like terms:

2^2 x 5 x 3^3

There you go!

Express 540 as a product of its prime factors

This is compound interest. Every year Lucy’s house is gaining another 5% in value. You should work it out like this:
2017-2014=3

You can consider you need to add 5% of the value of the house three separate times- so 
200000x 1.05x 1.05x 1.05 

Or

200000 x 1.05^3= 231525

Answer= £231525

At the start of 2014  Lucy’s house was  worth  £200,000 the value o f the house increased by 5% every year  work out how Mutch Lucy’s house will cost in 2017

Hi there:
The first the terms- so you have to substitute in 1, 2 and 3 in place of n.

So the 1st term:
3(1)-2=
3-2= 1

The second term:
3(2)-1=
6-1= 5

The third term:
3(3)-1=
9-1= 8

Hope that helps!

Write the first 3 terms of 3n-2.

Just FYI this was posted under English.

7 to 10= +3 
10 to 13= +3
13 to 16= +3

So you know after each term you ad 3 

So it will be 
3n + x

You must find the 0th term 

So do the inverse to the first term so:
 7-3 which = 4

So the nth term is 
3n+4

Hope that helps!


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