Answer:

Step-by-step explanation:
The present value of the house is $120,000 and the interest rate is 5.5%, or 0.055.
We will utilize the following equation:

where
represents the present value,
symbolizes the interest rate, and
refers to the number of years.
By inputting the values into the above equation, we can obtain:


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?
Answer:
2.55 cubic meters of sand
Step-by-step explanation:
The inquiry focuses on how much sand is needed to completely fill the sandbox. As it is a three-dimensional shape, the concept of 'Volume' is applicable. Volume is determined through the formula L × W × H. By substituting the relevant variables into this equation, you arrive at the final solution. I hope this offers clarity!
The linear equation can be expressed as y = -6x + 6. First, identify the slope, calculated with the formula (y2 - y1) / (x2 - x1) which is equal to -6. Then, this value is substituted into the slope-intercept form y = mx + b. Finally, by inputting a coordinate, you can find the b value, resulting in the equation y = -6x + 6.