A trainee is hired by a computer manufacturing company to learn to test a particular part of a personal computer after it comes off the assembly line. The learning curve for an average trainee is given by N=200/4+21e^-0.1t
How many computers can a trainee be test after 2 days of training? So it would be N=200/4+21e^0.2
How do you compute 21e^-0.2
N = 200 / ( 4 + 21 e^-.1t)
I think may be what you mean
e^-.2 = 1/e^.2 = 1/1.2214= .8187
so
N = 200 /( 4 +21*.8187)
= 9.44
Note that as time becomes large, N becomes 200/4 or 50 so no matter how long you train, you will never test more than 50 a day.
To compute 21e^-0.2, you can use a scientific calculator or an online calculator that includes exponential functions. The "e" in this expression represents the mathematical constant known as Euler's number, approximately equal to 2.71828.
To calculate 21e^-0.2, follow these steps:
1. Enter the value of -0.2 in the exponent.
2. Press the exponentiation button or function (often denoted as "e^x" or "^") on the calculator.
3. Multiply the result by 21.
For example, here's how you would calculate it using a regular calculator without an exponent function:
1. Multiply -0.2 by -1 (to convert it to a positive value) and round it to a convenient decimal place, like -0.2.
2. Raise the value of e to the power of -0.2.
3. Multiply the result by 21.
Using the scientific or online calculator, you should get the result: 17.596458. Make sure to round the final result to an appropriate number of decimal places, according to the requirements of your situation.