2707.25=2600(1+.75r)

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Solution for 2707.25=2600(1+.75r) equation:


Simplifying
2707.25 = 2600(1 + 0.75r)
2707.25 = (1 * 2600 + 0.75r * 2600)
2707.25 = (2600 + 1950r)

Solving
2707.25 = 2600 + 1950r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-1950r' to each side of the equation.
2707.25 + -1950r = 2600 + 1950r + -1950r

Combine like terms: 1950r + -1950r = 0
2707.25 + -1950r = 2600 + 0
2707.25 + -1950r = 2600

Add '-2707.25' to each side of the equation.
2707.25 + -2707.25 + -1950r = 2600 + -2707.25

Combine like terms: 2707.25 + -2707.25 = 0.00
0.00 + -1950r = 2600 + -2707.25
-1950r = 2600 + -2707.25

Combine like terms: 2600 + -2707.25 = -107.25
-1950r = -107.25

Divide each side by '-1950'.
r = 0.055

Simplifying
r = 0.055

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