One weights 30lbs the other weights 54lbs
Answer:
the principal and the amount is 1,800 and 13,800 respectively
Step-by-step explanation:
The computation of the simple interest and amount for the end of the 3rd year is shown below:
Simple interest is
= Principal × rate of interest × time period
= 12,000 × 5% × 3 years
= 1,800
Now the amount is
= 12,000 + 1,800
= 13,800
hence, the principal and the amount is 1,800 and 13,800 respectively
Answer:
The maximum variance is 250.
Step-by-step explanation:
Consider the provided function.


Differentiate the above function as shown:

The double derivative of the provided function is:

To find maximum variance set first derivative equal to 0.


The double derivative of the function at
is less than 0.
Therefore,
is a point of maximum.
Thus the maximum variance is:


Hence, the maximum variance is 250.
Answer:
90 arrangements
Step-by-step explanation:
Since there are no repititions of letters, there are unique 10 letters in total.
THe number of arrangements would be 2 permutation 10. We need the formula for permutation. That is:

Now, n = 10 [total] and r is 2, so we have:

So, there can be 90 arrangements
0.00934579439 Now I'm just waiting until 20 charac- done