exam Maths Puzzle Numerical Ability

How long does it take an investment to double if it grows according to the formula V=537e^.015t? Assume t is in years? (^ is used to show that e has been raised to the .015t power).

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exam Other Question

5x+3
If f(x)=----, then f(c+2)=
x+5

NOTE 5x+3 is divied by x+5 I need assistance proving the basis theorem. Here is the theorem. "Let H be a p dimensional subspace of R^n. Any linearly independent set of p vectors of H is a basis for H. An