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y=6x+9 , 3y-18x+9=0 Are these lines parallel?

3y-18x+9=0 , 3y=18x-9 , y=6x-3 , Both lines have the same value for m which means they both have the same gradient and are therefore parallel.

Answered by Sean L. Maths tutor
3001 Views

There are 2 banks, Bank A and Bank B. Bank A provides compound interest of 1.3%. Bank B provides interest of 3.5% for the first year and then 0.7% for each extra year. James wants to invest £250. Which bank provides the most interest after 4 years?

Bank A: £250*(1.013^4) = £263.25570.... , Bank B: £2501.035(1.007^3) = £264.2218.... , 264>263 therefore Bank B provides more interest than Bank A

Answered by Sean L. Maths tutor
2545 Views

Find the x-intercepts of the graph y=x^2+2x

At the x-intercepts of the graph, the line crosses the x-axis. This means that the y-value at these points equals 0. We must therefore make x^2+2x equal to 0 and simplify the equation. x^2+2x = 0 is the s...

Answered by Harry H. Maths tutor
5479 Views

Differentiate y=e^(x)*sin(x) with respect to x

y=e^(x)*sin(x)   

Use the product rule:   y'=uv'+vu'    y=u*v          

Differentiate: u=e^(x)   u'=e^(x)    v=sin(x)  v'=cos(x)

Sub into the product rule: y'=e^(x)*cos(x)+e^(x)*sin(x...

Answered by Alexander J. Maths tutor
4481 Views

Find dy/dx in terms of t of the parametric equations x=4e^-2t, y=4 - 2e^2t

x=4e-2t, y=4-2e2t

dy/dx = dy/dt * dt/dx

dy/dt = -4e2t

dx/dt = -8e-2t           dt/dx = -1/8 * e2t

dy/dx = (-4e2t

Answered by Josh M. Maths tutor
5064 Views

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