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I buy a car from a dealership for £3500. The car depreciates in value for every year I own it. What is the value of the car after I have owned it for 18 months if it depreciates at a rate of 5 percent?

This is a compound interest problem. Here we have to put 18 months in terms of years. There are 12 months in a year, so 18 months is a year and 6 months.
6 months is half a year, so 18 months repres...

LM
Answered by Lauren M. Maths tutor
3077 Views

In triangle XYZ: XZ = 10 cm; YZ = 8 cm; cos Z = 1/8. Calculate the length of XY.

We can use the cosine rule to determine the lenght of XY.
XY2 = 102+82-2108cos ZXY2 = 100+64-180(1/8) = 144XY = 12

VH
Answered by Vencel H. Maths tutor
6294 Views

Factorise this equation and then solve for x) 2x^2 - 3x-2

Do 2x -2 = -4List these factors Choose two of those factors which equal to -3x, in this case 1 and -4 (or the other way around)Rewrite the equation as 2x2 + x - 4x -2, then factorise this in tw...

EC
Answered by Ellen C. Maths tutor
5076 Views

Integrate x*(5e^x)

Using integration by parts let U=x therefore du=dx.Let dv=5e^x therefore v=5e^x.answer = x*5e^x - integral(5e^x) = (x-1)(5e^x)

MS
Answered by Maximillian S. Maths tutor
3561 Views

Differentiate y=(5x^4)cos(2x)

Using chain and product rule.dy/dx=(20x^3)cos(2x) - (10x^4)sin(2x)

MS
Answered by Maximillian S. Maths tutor
4226 Views

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