Analytical solution is exact, while a numeric solution is almost always approximate
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The graphical method is often approximate but can be applied to any function. If done on a computer, the region surrounding the solution can be enlarged to obtain more accurate estimates. A numerical method will give an exact result is an analytical solution is possible. If not, the solution will depend on the numerical method used and, sometimes, the starting "guesstimate".
Numerical data is numbers. Non-numerical data is anything else.
They are not both "analytical", but "substantive" and "analytical". Substantive procedures are reviews of documents for a "substantial portion" of account activity, while analytical procedures includ controls test and test relying on mathematical relationships reflectinb accounting mecvhanics, contractual provisions [debt times interest rate], or business capabilities [production per machine hour or day].
An algebraic solution involves using symbols and variables to represent numbers and relationships, allowing for manipulation of equations to find unknown values. In contrast, an arithmetic solution relies on numerical calculations and direct computation without the use of variables. Essentially, algebraic methods provide a more general approach to solving problems, while arithmetic focuses on specific numerical values.
supervisory apritude is the superior responce of the way of your thougts numerical aptitude is the the knowledge of the numerical calculations