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at a shop in the US tax is added onto the price of an item at the till. this shop adds 5.7% of the items value to the total cost. if you buy a ball priced as $15, how much will you have to pay ?

0.057 x 15 = 0.855 total = 15 + 0.988 = 15.855

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dy/dx = 6x^2 - 3x + 4 when y=14 x=2 Find y in terms of x

∫dy/dx = ∫6x^2 - 3x + 4y = (6/3)x^3 - ( 3/2)x^2 + 4x + cLet y = 14 and x = 214 = 2(2^3) - (3/2)(x^2) + 4(2) + c14 = 2(8) - (3/2)(4) + 4(2) + c14 = 16 - 6 + 8 + c14 = 18 + cc = -4therefore:y = 2x^3 - (3/2...

Answered by Lauren A. • Maths tutor

2148 Views

With a bag of 5 blue marbles, 7 green marbles, and 3 red marbles. What is the probability of picking out two blue marbles? Pick them one at a time and do not replace them.

So there are 15 marbles in total (5 + 7 + 3) The probability of the first marble will be the number of blue marbles / total number of marblesTherefore, you do 5/15 = 1/3 Then for the second marble you do ...

Answered by Christopher B. • Maths tutor

3894 Views

How do I solve the simultaneous equations 2x - y = 3 and 3x + y = 9

First of all you need to spot a way we can add or subtract these two equations together so that we can get rid of one of the terms. This is easily spotted by writing the equations like so:2x - y ...

Answered by Joshua B. • Maths tutor

5038 Views

How do you factorise a quadratic expression using the formula

To factorise an expression of the formax²+bx+c We use the formulaX=(-b+/- (b^2-4ac)^(1/2))/2aExample:Factorise 3X²+2X+-1So here a=3 b=2 c=-1From the formula we get X=1/3 and X=-1And ...

Answered by Kaitrin S. • Maths tutor

2731 Views