Suppose that in a certain market, the demand function for a product is given by 
and the supply function is given by 
, where p is the price per unit in dollars and q is the quantity produced. If the government levies a tax of $9 per item on the supplier,
who passes the tax on to the consumer as a price increase, find the equilibrium price and quantity after the tax is levied. Round q to the nearest whole number and round p to one decimal place.
?
A. 
B. 
C. 
D. 
E. 
Answer: C
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Solve using the formula for the future value of an ordinary annuity.Find the value of the annuity at the end of the indicated time period. The amount, frequency of deposits, annual interest rate, and time period are given.amount: $200; monthly; 10%; 7 years
A. $24,190.08 B. $24,590.10 C. $24,890.20 D. $24,790.21
Find the specified domain.Find the domain of (f - g)(x) when f(x) = 8x - 2 and g(x) = 5x - 4.
A. (-8, 2) B. (-2, 8) C. (-?, ?) D. (-8, ?)
Decide whether or not the points are the vertices of a right triangle.Consider the three points A = (-5, -2), B = (-7, 0), C = (-11, -4). Determine whether the triangle ABC is a right triangle. Explain your reasoning.
A. The side lengths of triangle ABC are d(A, B) = 4
, d(A, C) = 2
, d(B, C) = 4.
[d(A, B)]2 + [d(B, C)]2 = (4
)2 + 42 = 32 + 16 = 48
[d(A, C)]2 = (2
)2 = 40
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.
B. The side lengths of triangle ABC are d(A, B) = 2
, d(A, C) = 2
, d(B, C) = 4.
[d(A, B)]2 + [d(B, C)]2 = (2
)2 + 42 = 8 + 16 = 24
[d(A, C)]2 = (2
)2 = 40
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2 , triangle ABC is not a right triangle.
C. The side lengths of triangle ABC are d(A, B) = 2
, d(A, C) = 4
, d(B, C) = 4
.
[d(A, B)]2 + [d(B, C)]2 = (2
)2 + (4
)2 = 8 + 32 = 40
[d(A, C)]2 = (4
)2 = 160
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.
D. The side lengths of triangle ABC are d(A, B) = 2
, d(A, C) = 2
, d(B, C) = 4
.
[d(A, B)]2 + [d(B, C)]2 = (2
)2 + (4
)2 = 8 + 32 = 40
[d(A, C)]2 = (2
)2 = 40
Since [d(A, C)]2 = [d(A, B)]2 + [d(B, C)]2, triangle ABC is a right triangle.
Find the difference. Simplify the result.
- 
A. - 
B. - 
C. - 
D. - 