First, we determine the percentage increase for the tax.
Initial amount = 25×9 = 225 ⇒ The 9 signifies 9 lots of thousands representing the house's value.
New amount = 28×9 = 252
Tax increase = 252 - 225 = 27
Percentage increase = (27÷225) ×100 = 12%
Therefore, the yearly rent should rise by 12%
Monthly rent is $60
Yearly rent = 60×12 = $720
With a 12% increase = 720×1.12 = 806.4 ⇒ Here, 1.12 is the multiplier derived from 100%+12%=112%=1.12
Monthly rent becomes 806.4÷12 = $67.20, resulting in an additional $7.20 each month.
Answer:
1. What are the amplitude and period of the sine function that indicates the positioning of the band members as they start performing?
Answer: The amplitude is 80 ft and the period is 60 ft.
2. Edna, seated in the stands, faces Darla and notices that the sine curve starts rising from the left edge of the field. What is the equation for the sine function representing the arrangement of band members at the beginning of their performance?
Answer: y = 80cos(x*π/30)+80
3. When the band starts playing, the members move away from the edges, and the sine curve changes to start decreasing at the far left. Darla remains in her position. Now the sine curve is half as tall as it originally was. What is the equation for the updated sine curve depicting the band members' positions?
Answer: y = 40cos(x*π/30)+80
4. Finally, the entire band shifts closer to the edge of the football field, causing the sine curve to now position itself in the lower half of the field from Edna’s perspective. What is the equation for this sine curve reflecting the band members' positions after these adjustments?
Answer: y = 40cos(x*π/30)+40
Step-by-step explanation:
Answer:
This is how the money should be divided:
Each of my two younger siblings receives P3,000.
I will take P4,000.
The reasoning for this allocation stems from the principle that the eldest and youngest siblings should not receive equal portions when dividing assets.
Step-by-step explanation:
This division approach is the only sensible method to distribute P10,000 among myself and my younger siblings while ensuring no fractions are involved, maintaining whole peso amounts. Any other method would result in leftover change.
A right triangle will have 2.2 km as its hypotenuse, with an angle of 0.5 degrees and an unknown height (see attachment).
Remember to apply the trigonometric ratios: sine, cosine, and tangent for right triangles.
Sin<span>θ = opposite side/hypotenuse
</span>Cos<span>θ = adjacent side/hypotenuse
</span>tan<span>θ = opposite side / adjacent side
</span>In this scenario, θ signifies the angle (not the right angle), which is given as 0.5°.
For this problem, we use sine as we have the side opposite the angle (the unknown height h) and the hypotenuse, with sine relating these two sides.
Let h represent the unknown opposite side, the height.
sin(0.5°) = h / (2.2km)
h = (2.2km)sin(0.5<span>°)
h = 0.019 km
I hope this has clarified your question! If you need clarification on any steps, please ask below.</span>
