Step-by-step explanation:
f(x) = -12(8)^x
f(1) = -12 * 8¹
= -96
Given parameters:
Mark up percentage = 150%
Original cost = $488
Sales tax = 5%
Unknown:
His total cost = ?
Solution:
Marking up a good is the amount a sell adds to a product which makes its selling price usually for a profit.
Since the emerald was marked up by 150%;
New cost = (1 + 1.5) x $488 = $1220
Now, the additional tax was 5%;
Tax =
x 1220 = $61
So, the total cost = New cost + tax = $1220 + $61 = $1281
Answer:
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the mean subtracted by M. So it is 1.016 - 0.0310 = 0.985 g/cm²
The upper end of the interval is the mean added to M. So it is 1.016 + 0.0310 = 1.047 g/cm²
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².