In Exerci.scs 10 through 18, you computed a number. To do so, first you must decide on the appropriate factor from the tables, and then you use that factor in the appropriate calculation. Notice that you could omit the last step. You could write an arithmetic expression showing the factor you want to use without actually copying down the number and doing the arithmetic. For example, the notation T((. /'. /) means Table / ( 1, 2, 3. or 4). row p (periods 1 to 20, 22. 24 ... , 40. 45, 50, 100). and column

/ (interest rates from '/; percent up to 20 percent). Thus, 7(3, 16, 12) would be the factor in Table 3 for 16 periods and an interest rate of 12 percent per period, which is 42.75328. Using this notation, you can write an expression for any compound interest problem. A clerk or a computer can evaluate the expression. You can check that you understand this notation by observing that the following are true statements:

In the following questions, write an expression for the answer using the notation introduced here but do not attempt to evaluate the expression.

a. Work the a parts of Exercises 10 through 14.

b. Work the b parts of Exercises 15 through 18.

c. How might your instructor use this notation to write examination questions on compound interest without having to supply you with tables?(Appendix)

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T1, 20, 8) = 4.66096 T(2. 12.5) T(3. 16, 12) 0.55684 42.75328 T(4, 10, 20) = 4.19247