4970=P(1+(0.07*6))

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Solution for 4970=P(1+(0.07*6)) equation:


Simplifying
4970 = P(1 + (0.07 * 6))

Multiply 0.07 * 6
4970 = P(1 + (0.42))
4970 = P(1 + 0.42)

Combine like terms: 1 + 0.42 = 1.42
4970 = P(1.42)

Reorder the terms for easier multiplication:
4970 = 1.42P

Solving
4970 = 1.42P

Solving for variable 'P'.

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

Add '-1.42P' to each side of the equation.
4970 + -1.42P = 1.42P + -1.42P

Combine like terms: 1.42P + -1.42P = 0.00
4970 + -1.42P = 0.00

Add '-4970' to each side of the equation.
4970 + -4970 + -1.42P = 0.00 + -4970

Combine like terms: 4970 + -4970 = 0
0 + -1.42P = 0.00 + -4970
-1.42P = 0.00 + -4970

Combine like terms: 0.00 + -4970 = -4970
-1.42P = -4970

Divide each side by '-1.42'.
P = 3500

Simplifying
P = 3500

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