Exponential function N= 500x0.74^t what is the monthly decay factor?

What is the monthly percentage decay rate?
What is the percentage decay rate per second?

assuming t is in months,

.74 = 1 - .26, so 26%

To find the monthly decay factor, we need to look at the exponent of the exponential function. In this case, the exponent is 0.74^(t), where t represents time.

The monthly decay factor is given by the base of the exponential function, which is 0.74. Therefore, the monthly decay factor is 0.74.

To find the monthly percentage decay rate, we can subtract the monthly decay factor from 1 and then multiply by 100.

Monthly percentage decay rate = (1 - 0.74) * 100
= 0.26 * 100
= 26%

So, the monthly percentage decay rate is 26%.

To find the percentage decay rate per second, we need to determine the time unit of the exponent. Since the equation doesn't specify the time unit, we cannot calculate the percentage decay rate per second without further information.

To determine the monthly decay factor of the exponential function N = 500 * 0.74^t, we can start by observing that the function is in the form of exponential decay, where the base is less than 1 (0.74 in this case).

The monthly decay factor is simply the base of the exponential function, which is the number being raised to the power of t. In this case, the monthly decay factor is 0.74.

To find the monthly percentage decay rate, we need to convert the monthly decay factor to a percentage. We can do this by subtracting 1 from the decay factor and then multiplying by 100. In this case, the monthly percentage decay rate is (0.74 - 1) * 100 = -26%.

Note: The negative sign indicates decay or decrease.

Finally, to find the percentage decay rate per second, we need to consider the time units. If the function is based on a monthly decay factor, we need to convert it to the desired time unit (in this case, per second).

Assuming we have additional information about the time conversion, we could calculate the percentage decay rate per second. However, without further details, it is not possible to provide an accurate calculation.

Keep in mind that for most exponential decay functions, the time unit used is typically larger (e.g., days, hours, or months) than seconds. If you have the time unit information, you can share it, and I can help you determine the percentage decay rate per second.