How to make Y the subject of 532.14 = (25,555 (0.0499/12))/(1-(1+(0.0499/12))^(-12Y))

[Ashley4000]

This is the last part of the last question of my math project. Does anyone know how to change this equation to solve for Y?? And then equate it?

\(\displaystyle 532.14\, =\, \dfrac{25,555\, \left(\dfrac{0.0499}{12}\right)}{1\, -\, \left[1\, +\, \left(\dfrac{0.0499}{12}\right)\right]^{-12Y}}\)

 

[Deleted member 4993]

This is the last part of the last question of my math project. Does anyone know how to change this equation to solve for Y?? And then equate it?

\(\displaystyle 532.14\, =\, \dfrac{25,555\, \left(\dfrac{0.0499}{12}\right)}{1\, -\, \left[1\, +\, \left(\dfrac{0.0499}{12}\right)\right]^{-12Y}}\)

Yes we know how to solve it. However, it is your math project! So, please tell us:

What are your thoughts?

Please share your work with us ...even if you know it is wrong

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[stapel]

Does anyone know how to change this equation to solve for Y?? And then equate it?

Solving for "y=" should be doable. But what do you mean, precisely, by "equating it"? What is the "it" that you're making equal to something else? What is the something else?

\(\displaystyle 532.14\, =\, \dfrac{25,555\, \left(\dfrac{0.0499}{12}\right)}{1\, -\, \left[1\, +\, \left(\dfrac{0.0499}{12}\right)\right]^{-12Y}}\)

What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?

For instance, you first simplified, as much as possible, such as in the numerator. You did the obvious cross-multiplication, moving the variable-containing expression up to the left-hand side and the 532.14 down on the right-hand side. You subtracted the 1 to the right-hand side. You multiplied through by -1 to clear the negative. And... then what?

Please be complete. Thank you!