Question

given that expression what is the rate of Decay (write in decimal form, not as a percentage) 15000(.87)^t

Answer 1

0.13

Step-by-step explanation:

The exponential function has the following form:

`y=a\cdot(1-r)^t`

Where a is the initial value and r is the decay rate.

In this case, we have:

`y=15000(0.87)^t`

So, we can say that 0.87 is equal to 1 - r, then:

0.87 = 1 - r

Now, we need to solve the equation for r:

0.87 + r = 1 - r + r

0.87 + r = 1

0.87 + r - 0.87 = 1 - 0.87

r = 0.13

Therefore, the decay rate is 0.13.