Basic Formulas

1. Rate of Return Formulas:

   
   

   1. Single payment compound amount, SPCA. The (1 + i) ⁿ factor is referred to as the compound amount of $1.00.

   2. Single payment present worth, SPPW:

      
      

   3. Uniform series compound amount, USCA:

      
      
      
      

      is referred to as the compound amount of $1.00 per period.

   4. Sinking fund deposit, SFD:

      
      
      
      

      is referred to as the uniform series, which amounts to $1.00.

   5. Capital recovery, CR:

      
      
      
      

      is referred to as the uniform series that $1.00 will purchase.

   6. Uniform series present worth, USPW:

      
      

      The factor [((1 + i) ⁿ ? 1)/i(1 + i) ⁿ] is referred to as the present worth of $1.00 per period.

      where:

      P = a present sum of money

      S = a sum of money at a specified future date

      R = a uniform series of equal end-of-period payments

      n = designates the number of interest periods

      i = the interest rate earned at the end of each period

Mathematics-Areas

Mathematics-Surfaces and Volumes

Estimating Strength of Cable

Rule.

1. Change line diameter to eighths

2. Square the numerator

3. Dividebythe denominator

4. Read the answer in tons

Example

Estimate the strength of -in. steel cable:

The approximate strengh of -in. steel cable is 2 tons.

Find the Working Strength of Manila Rope

The working strength of Manila rope is approximately 900 (diameter) ²:

where d is expressed in inches.

W is given in pounds.

Example

What is the working strength of a -in. Manila rope?

The maximum recommended pull is: