Firstly, seeing that the sequence is based on odd numbers I would say that this is the formula (which will allow you to know whatever term):
nth term = 2n-1
Hope this helps!
Over time, compound interest at any rate will outperform simple interest. When the rates are nearly equal to start with, compound interest will be greater in very short order. Here, it takes less than 1 year for compound interest to give a larger account balance.
In 30 years, the simple interest will be
... I = P·r·t = 12,000·0.07·30 = 25,200
In 30 years, the compound interest will be
... I = P·(e^(rt) -1) = 12,000·(e^(.068·30) -1) ≈ 80,287.31
_____
6.8% compounded continuously results in more total interest
Answer:
Third step is incorrect. The correct factored form is (x-1)(2x-5).
Step-by-step explanation:
The given expression is

We need to find the factored form of this expression.
Step 1: Given

Step 2: Splitting the middle term method, the middle term can be written as (-5x-2x).


Step 3: Taking out common factors from each parenthesis.

Step 4: Taking out common factors.

Therefore, the third step is incorrect. The correct factored form is (x-1)(2x-5).
Answer:
The height of the vase is 
Step-by-step explanation:
we know that
The volume of a cone is equal to

we have



substitute and solve for h





to go from point to point
we go up six units and to the right 1 unit
slope = 6/1
m = 6