To determine the missing angle of P, which measures 30 degrees, angle P and C are congruent since they are identical. The longest side, the hypotenuse, is PC, corresponding to angle T. Utilizing the Pythagorean Theorem, a² + b² = c², we find (PT)² + (CT)² = (PC)². Knowing that PT equals 4 and since PT and CT are congruent, we can restate it as (4)² + (4)² = (PC)², leading to PC being equal to rad(32). Could someone please confirm?
The initial value stands at 20,300, decreasing annually by 9.5%.
Given that it decreases by 9.5% each year based on the preceding amount, we can apply an exponential decay model.
A 9.5% reduction means multiplying by 91.5% every year.
We express this mathematically. Plugging in 11 years for t yields.
$7,671.18
I believe the correct response is option C.
The solutions to the equation are 
Explanation:
Given the equation 
, we aim to find the solutions of the equation.
Let us use
and 
Thus, the equation transforms into

Factoring the equation results in:


Inserting back
and allows us to solve for x.
Initially, we will substitute 
Consequently, we find;



Similarly, by substituting
, we derive;



Thus, the solutions to the equation are 