My initial answer was $2750.45, and I will show you my calculations.
Calc : 6774.5 ÷ 100 = 67.745
67.745 × 2.7 = 182.9115
182.9115 × 22 = 4024.053
6774.5 - 4024.053 = 2750.45
= $2750.45
At first I thought this was correct, but after studying my answer I realise that the amount of interest would rise as the amount of money went up, therefore my calculations are very wrong. If I work out the answer, I will get back to you, but the calculation is more complicated than I first predicted
Answer:
d
Step-by-step explanation:
There are only three shapes that can form tessellations: the equilateral triangle, square, and regular hexagon. Any one of these three shapes can be duplicated infinitely to fill a plane with no gaps. Many other types of tessellation are possible under different constraints.
Answer:
x can be cancelled
Step-by-step explanation:
we are given
![\frac{4x^3-10x^2+6x}{2x^3+x^2-3x}](https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E3-10x%5E2%2B6x%7D%7B2x%5E3%2Bx%5E2-3x%7D)
Firstly, we will factor numerator and denominator
and then we can factor it
![4x^3-10x^2+6x=2x(2x^2-5x+3)](https://tex.z-dn.net/?f=4x%5E3-10x%5E2%2B6x%3D2x%282x%5E2-5x%2B3%29)
![4x^3-10x^2+6x=2x(2x+1)(x-3)](https://tex.z-dn.net/?f=4x%5E3-10x%5E2%2B6x%3D2x%282x%2B1%29%28x-3%29)
now, we can factor denominator
![2x^3+x^2-3x=x(2x^2+x-3)](https://tex.z-dn.net/?f=2x%5E3%2Bx%5E2-3x%3Dx%282x%5E2%2Bx-3%29)
![2x^3+x^2-3x=x(x-1)(2x+3)](https://tex.z-dn.net/?f=2x%5E3%2Bx%5E2-3x%3Dx%28x-1%29%282x%2B3%29)
now, we can replace it
![\frac{4x^3-10x^2+6x}{2x^3+x^2-3x}=\frac{2x(2x+1)(x-3)}{x(x-1)(2x+3)}](https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E3-10x%5E2%2B6x%7D%7B2x%5E3%2Bx%5E2-3x%7D%3D%5Cfrac%7B2x%282x%2B1%29%28x-3%29%7D%7Bx%28x-1%29%282x%2B3%29%7D)
we can see that
both terms are having x common
so, x can be cancelled
So,
x can be cancelled