Answer:
c. quarterly
Step-by-step explanation:
To start with 1 year is equal to twelve months
3months out of 12 months will be;
3/12= 1/4
Here it is compounded quarterly and n=4 where n is the number of compoundings a year.
Lets study the compound interest formula;
where;
A=The ending amount
P=Starting amount
r=rate of interest expressed as a decimal
n=number of compoundings a year
t=total number of years
The number of compoundings in any one year can be an interest compounded yearly where n=1, semi-annually with n=2, quarterly where n=4, monthly where n=12, weekly and n=52 and finaly daily with n=365.
The answer is "sometimes".
If A = 3 and B = 1 then, A > B and A-B < A+B
On the other hand, If A = 3 and B = -1, then A > B but A-B is not less than A+B.
Answer:
120.51·cos(377t+4.80°)
Step-by-step explanation:
We can use the identity ...
sin(x) = cos(x -90°)
to transform the second waveform to ...
i₂(t) = 150cos(377t +50°)
Then ...
i(t) = i₁(t) -i₂(t) = 250cos(377t+30°) -150cos(377t+50°)
A suitable calculator finds the difference easily (see attached). It is approximately ...
i(t) = 120.51cos(377t+4.80°)
_____
The graph in the second attachment shows i(t) as calculated directly from the given sine/cosine functions (green) and using the result shown above (purple dotted). The two waveforms are identical.
Answer:
0.0000214
Step-by-step explanation:
Hope this helps :)
A particular country has 60 total states. if the areas of all 60 states are added and the sum is divided by 60, the result is 212 comma 469 square kilometers. determine whether this result is a statistic or a parameter.
Answer: Before solving the given question, let us understand what the parameter and statistic is:
Parameter: Parameter is a number that summarizes data for an entire population. Like Population mean 
Population standard deviation 
Statistic: Statistic is a number that summarizes data for a sample. Like sample mean 
sample standard deviation 
.
From the given information, we can clearly see that given characteristic describes the population.
Therefore, the option d is correct
d. the result is a parameter because it describes some characteristic of a population. is correct.
