The amount paid in tax based on the information is Rs 13500.
<h3>How to compute the tax?</h3>
From the information given, the monthly salary is 45000. Therefore, the yearly salary will be:
= 45000 × 12
= 540000
Also, it's stated that the tax rate for first 450000 is 1% and next 100000 is 10%. Therefore, the amount that will be paid in tax will be:
= (450000 × 1%) + (90000 × 10%)
= 4500 + 9000
= 13500
Therefore, the amount paid in tax will be Rs 13500.
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Since the congruent angle is a right angle and it is not included, the two congruent sides of the triangles must include their hypotenuses and one of their legs.
The triangles would be congruent by the hypotenuse leg theorem, which states that if the hypotenuse and one leg of a right triangle is congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent.
Answer:
hypotenuse leg theorem
Answer: B.) 16x^2-22x+6=0
Answer:
Number of Unlimited passes sold were 168.
Step-by-step explanation:
Let Number of Unlimited passes sold be x
and Number of entrance-only passes sold be y.
Total number of passes sold =282
Hence,
Also
Cost for unlimited-ride pass = $50
Cost for entrance-only pass = $20
Total Money for one day = $10,680
Hence,
Dividing by 10 on both side we get;
Now multiplying equation 1 by 2 we get;
Now Subtracting equation 3 from equation 2 we get;
x= 168
x+y = 282
168+y =282
y=282-168
y= 114
Hence, Number of Unlimited passes sold are 168 and Number of entrance-only pass sold is 114.
One Half-Life of polonium = 138 days
We have to find the number of half-lives that occur in 1104 days. For this we simply divide 1104 by 138.
Number of half-lives in 1104 days = 1104/138 = 8 half-lives
Thus, in 1104 days polonium-210 undergoes 8 half-lives i.e. it is halved 8 times.
Initial Amount of sample= 30 gram
The amount remaining after 8 half-lives will be = 30 x (0.5)⁸ = 0.1171875 grams.
This means, after 1104 days, 30 gram sample of polonium-210 will be reduced to 0.1171875 grams only.