Answer: after 6 years.
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the car after t years.
t represents the number of years.
P represents the initial value of the car.
r represents rate at which the value is decreasing.
From the information given,
P = 3000
A = < 10000
r = 16% = 16/100 = 0.16
Therefore
10000 = 30000(1 - 0.16)^ t
1000/30000 = (0.84)^t
0.333 = (0.84)^t
Taking log of both sides to base 10
Log 0.333 = log0.84^t = tlog0.84
- 0.4772 = t × - 0.0757
t = - 0.4772/ - 0.0757 = 6.3 years
Answer:
The sample size suggested by this statement is of at least 4145.
Step-by-step explanation:
This statement states that the 99% confidence interval has a margin of error of 2 percentage points.
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

99% confidence level:
So
, z is the value of Z that has a pvalue of
, so
.
Find the sample size suggested by this statement.
The sample size is at least n.
n is found when M = 0.02.
We don't know the true proportion, so we use
, which is when the largest sample size will be needed.






Rounding up
The sample size suggested by this statement is of at least 4145.
Answer:
Blue
Step-by-step explanation:
Hard to explain just trust.
The volume of a cone uses the following formula:

Our diameter is 20 feet, so divide this by 2 to find the radius:

We now have all of our values need to fill in the formula. Plug in these values:




The volume of the cone is
1780 cubic feet.
Answer:
The answer is c
Step-by-step explanation: