Cynthia invests some money in a bank which pays 5% compound interest per year. She wants it to be worth over £8000 at the end of 3 years.
What is the smallest amount to the nearest pound, she can invest

£6956.52

Step-by-step explanation:

Given data

R=5%

A= £8000

T= 3 years

P=???

The compound interest is

A=P(1+r)^t

8000= P(1+0.05)^3

8000= P(1.05)^3

8000= P1.15

P= 8000/1.15

P=6956.52

Hence she needs to invest £6956.52

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct