The tax rate as a percent, r, charge on an item can be determined using the formula c/p - 1 = r, where c is the disk cost of the time and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the final item C = p(1+r). What is the final cost of a $40 item after an 8% tax is applied?

The final cost is $43.2

Step-by-step explanation:

We have the following equation:

Where C is the final cost, p is the price before tax and r is the tax rate.

So, to calculated the final cost for a $40 item after 8% tax, we need to replace p by 40 and r by 0.08 and calculate the value of C as:

Therefore, the final cost is $43.2

teams

Step-by-step explanation:

Let's do it by parts.

Let's consider a fact: there has to be only one winner. After six games:

So,

Since it's a decreasing Geometric Sequence (we have to lead to one winner), and each match two teams play, the beaten one leaves the championship.

a) Explicit Rule (Formula):

That's to say the tournament started with 32 teams

b) Recursive Rule

If we have the first term of the Geometric Sequence we can recursively find the subsequent terms. The Recursive Rule is useful when we have the prior term and we need the following one. Also, to derive the explicit rule.