HP 35s User Manual

							 
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HP 35s  Applications in Medicine 
 
hp calculators - 7 - HP 35s  Applications in Medicine - Version 1.0 
 
 
(3>A 
 
 The HP 35s SOLVER displays the first variable encountered in the equation as it begins its solution, in this 
case the variable V. The value of 0.0000 is displayed below if this is the first time the equation has been 
solved on the HP 35s calculator. If any previous equations have used this variable, it will display the value 
presently held in the variable. Enter the value of V. 
 
 Figure 19 
 
(In either RPN or algebraic mode, press:  !*/#? 
(
 Figure 20 
 
 In either RPN or algebraic mode, press:  !)? 
(
 Figure 21 
 
 In either RPN or algebraic mode, press:  +@!1?(
(
 Figure 22 
 
(Note that the value displayed for B results from the reuse of variable B from the earlier example in this 
training aid.  
 
 In either RPN or algebraic mode, press:  +!.? 
 
 Figure 23   
						

							 
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HP 35s  Applications in Medicine 
 
hp calculators - 8 - HP 35s  Applications in Medicine - Version 1.0 
 
 In either RPN or algebraic mode, press:  +./.? 
 
 Figure 24 
 
Answer: The amount excreted is 13.99%. 
 
   
						

							 
 
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HP 35s  Using random numbers for simulations 
 
 
 
 
Random numbers 
 
Simulation 
 
Practice using random numbers for simulations 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   
						

							 
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HP 35s  Using random numbers for simulations 
 
hp calculators - 2 - HP 35s  Using random numbers for simulations - Version 1.0 
Random numbers 
 
Random numbers have uses as varied as games and stock market simulations. On the HP 35s, generating random 
numbers involves providing a starting decimal seed to the calculator using the !! function. Random numbers 
between 0 and 1 are then generated sequentially using the # function.  
 
A different series of random numbers will be generated from each decimal number used as an initial seed. Using the 
same initial seed will result in the same series of random numbers. 
 
Simulation 
 
A useful application of random numbers is to simulate complex processes that involve the element of chance. These 
simulations can be as easy as simulating the flip of a coin or can be quite elaborate. The examples below are far from 
exhaustive, but provide an illustration of how random numbers can be used on the HP 35s.  
Practice solving problems angles and times  
Example 1: Simulate flipping a coin four times. Use a starting seed of 0.123456.  
Solution: When a coin is flipped, the probability of heads is 0.5 and of tails also 0.5. Let the decimal range of 0 < 
random number < 0.5 equate to observing a heads. The decimal range of 0.5 
						

							 
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HP 35s  Using random numbers for simulations 
 
hp calculators - 3 - HP 35s  Using random numbers for simulations - Version 1.0 
 Figure 4  
Answer: The first three random numbers are in the range 0.5 
						

							 
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HP 35s  Using random numbers for simulations 
 
hp calculators - 4 - HP 35s  Using random numbers for simulations - Version 1.0 
 In RPN or algebraic mode: # 
 
 Figure 5 
 
 This corresponds to a demand of 20 newspapers. In RPN mode, press #. In algebraic mode: 
#, 
 
 Figure 6 
  
 This corresponds to a demand of 15 newspapers. In RPN mode, press #. In algebraic mode: 
#, 
 
 Figure 7 
  
 This corresponds to a demand of 20 newspapers. In RPN mode, press #. In algebraic mode: 
#, 
 
 Figure 8 
  
 This corresponds to a demand of 20 newspapers. In RPN mode, press #. In algebraic mode: 
#, 
 
 Figure 9 
  
 This corresponds to a demand of 20 newspapers.  
 
Answer: The results were demands of 20, 15, 20, and 20 newspapers. If the simulation were carried out for a longer 
period (which could be done by writing a program), other levels of demand would be generated. Figures 5 
through 9 show the display assuming algebraic mode.  
Example 3: Simulate rolling 2 dice. Use a starting seed of 0.345678  
Solution: When a die is rolled, the result is equally likely to be a 1, 2, 3, 4, 5, or 6. Since the HP 35s random numbers 
are decimal numbers, it will be necessary to transform them into integers between 1 and 6. Since the   
						

							 
hp calculators 
 
HP 35s  Using random numbers for simulations 
 
hp calculators - 5 - HP 35s  Using random numbers for simulations - Version 1.0 
lowest possible valid value of rolling a die is 1, the process to transform a decimal random number into a 
value between 1 and 6 will be: 
 
 Result = The integer value of ( the random number x 6 plus 1 ) 
 
 It is necessary to multiply the decimal random number generated by 6, add 1 and take the integer value of 
the result. Since two die are to be rolled, this will be done two times. Store the initial seed and then 
generate the first random number.  
 
 In RPN mode: $%()*+-/!! 
 In algebraic mode: !!$%()*+-/, 
 
 Figure 10 
 
 In RPN mode:  #+0&1!) 
 In algebraic mode:  !)#0+1&, 
 
 Figure 11 
  
 In RPN mode:  #+0&1!) 
 In algebraic mode:  !)#0+1&,.
 
 Figure 12  
Answer: The value of the first die was a 4 and the second was a 3, for a total on the two dice of 7. Figures 10 
through 12 show the display assuming algebraic mode. Note: In algebraic mode, to generate another 
random dice roll, it is much quicker to press #and then $. This will re-evaluate the previous 
command line. 
 
   
						

							 
 
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HP 35s Sinking Funds 
 
 
 
 
Sinking Funds 
 
The Time Value of Money on the HP 35s 
 
Practice solving for payment required to  
achieve a goal 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   
						

							 
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HP 35s Sinking Funds 
 
hp calculators - 2 - HP 35s Sinking Funds - Version 1.0 
Sinking Funds 
 
A sinking fund is an annuity where a specific value in the future is needed, which is accumulated through a series of 
regular payments. These types of problems often occur when saving for a goal, such as retirement or college tuition. 
 
The Time Value of Money on the HP 35s 
 
To solve time value of money problems on the HP 35s, the formula below is entered into the flexible equation solver built 
into the calculator. This equation expresses the standard relationship between the variables in the time value of money 
formula. The formula uses these variables: N is the number of compounding periods; I is the periodic interest rate as a 
percentage (for example, if the annual interest rate is 15% and there are 12 payments per year, the periodic interest 
rate, i, is 15÷12=1.25%); B is the initial balance of loan or savings account; P is the periodic payment; F is the future 
value of a savings account or balance of a loan. 
 
Equation: P x 100 x ( 1 - ( 1 + I ! 100 )^ -N)  ! I + F x ( 1 + I ! 100 ) ^ -N + B 
 
To enter this equation into the calculator, press the following keys on the HP 35s: 
 
!#$%&&$4%4%()*%&&+,-
./+*)(0$4%()*%&&+,.-
/(12 
 
To verify proper entry of the equation, press 
 
34 
 
and hold down the 4-key. This will display the equation’s checksum and length. The values displayed should be a 
checksum of CEFA and a length of 41. 
 
To solve for the different variables within this equation, the 56 button is used. This key is the right shift of the 
! key. 
 
Notes for using the SOLVE function with this equation: 
 
1) If your first calculation using this formula is to solve for the interest rate I, press %57)-before beginning. 
2) Press !. If the time value of money equation is not at the top of the list, press 8or 9 to scroll through the 
list until the equation is displayed. 
3) Determine the variable for which you wish to solve and press: 
a) 56/ to calculate the number of compounding periods. 
b) 56) to calculate the periodic interest rate. Note: this will need to be multiplied by the number of 
compounding periods per year to get the annual rate. If the compounding is monthly, multiply by 12. 
c) 561 to calculate the initial balance (or Present Value) of a loan or savings account. 
d) 56# to calculate the periodic payment. 
e) 560 to calculate the future value of a loan or savings account. 
4) When prompted, enter a value for each of the variables in the equation as you are prompted and press :. The 
solver will display the variables’ existing value. If this is to be kept, do not enter any value but press : to 
continue. If the value is to be changed, enter the changed value and press :. If a variable had a value in a 
previous calculation but is not involved in this calculation (as might happen to the variable P (payment) when solving 
a compound interest problem right after solving an annuity problem), enter a zero for the value and press :.