4.5% of $149.99 is 67.4955 which means he will make $67.50
Answer:
is standard equation of hyperbola with vertices at (0, ±9) and foci at (0, ±11).
Step-by-step explanation:
We have given the vertices at (0, ±9) and foci at (0, ±11).
Let (0,±a) = (0,±9) and (0,±c) = (0,±11)
The standard equation of parabola is:

From statement, a = 9
c² = a²+b²
(11)² = (9)²+b²
121-81 = b²
40 = b²
Putting the value of a² and b² in standard equation of parabola, we have
which is the answer.
Answer:
A. {-2, -1, 0, 3, 5}
Step-by-step explanation:
The domain is the set containing the x-coordinates of all the points of the function.
{(<u>-2</u>, 1), (<u>0</u>, 0), (<u>3</u>, -1) (<u>-1</u>, 7), (<u>5</u>, 7)}
Domain: {-2, -1, 0, 3, 5}
for the formula is
Y = starting population x (1-rate of change)^number of years
2010-2001 = 9
Y= 567 x (1-0.015)^9 = 494.89, round up to 495 people
Answer:
2 x 3 + 7 x 2 + 14 x + 12÷ 2x+ 3 = <u> x² +2x+ 4 </u>
Step-by-step explanation:
We multiply the first term 2x of the divisor with a term ( quotient) to get the first term of the dividend. Then we multiply the same term with each term of the divisor and subtract it from the dividend. The process continues unless we get the zero or a much smaller number than the dividend as the remainder
<u> x² +2x+ 4 </u>
2x+3 ║2 x 3 + 7 x 2 + 14 x + 12
2x³ + 3x²
<u> - - </u>
4x² +14x+12
4x²+ 6x
<u> - - </u>
8x+12
8x+12
<u> - - </u>
<u> 0 </u>