Answer: 9.9 years.
Step-by-step explanation:
If interest is compounded continuously, then formula to compute final amount A =
, where P =initial amount, r= rate of interest , t=time.
Given: P= $61,000, r= 1.9% =0.019 , A = $ 73600
Substitute all values in formula

Taking natural log on both sides

Hence, the required time = 9.9 years.
Answer:
Explained below.
Step-by-step explanation:
(1)
The confidence level is, 91%.
Compute the value of α as follows:

(2)
As the population standard deviation is provided, i.e. <em>σ</em> = 256 psi, the <em>z</em> value would be appropriate.
The <em>z</em> value for α = 0.09 is,
<em>z</em> = 1.69
(3)
Compute the 91% confidence interval as follows:


(4)
The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.
Answer:
Step-by-step explanation:
We need only identify the x- and y-coordinates of the point of intersection of these two graphs. That point is (-4, 2).