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3 years ago

What is an ordinary annuity?

Mathematics

2 answers:

masha68 [24]3 years ago

7 0

Answer:

An ordinary annuity is a series of equal payments made at the end of consecutive periods over a fixed length of time. The opposite of an ordinary annuity is an annuity due, in which payments are made at the beginning of each period.

Step-by-step explanation:

Paladinen [302]3 years ago

4 0

An ordinary annuity is a series of equal payments made at the end of consecutive periods over a fixed length of time

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Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

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Write a verbal expression for 3n-8

lisabon 2012 [21]

Answer: Pick anyone that suits you

8 is subtracted from 3 times a number
Thrice a number minus 8

Step-by-step explanation:

8 0

3 years ago

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What is 2,400 milliliters converted into liters

BARSIC [14]

Answer:

2.4 liters

Step-by-step explanation:

5 0

4 years ago

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Solve by completing the square x^2-6x-4=0

Vesna [10]

Answer:

x = 3 ± $\sqrt{13}$

Step-by-step explanation:

x² - 6x - 4 = 0 ( add 4 to both sides )

x² - 6x = 4

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 3)x + 9 = 4 + 9

(x - 3)² = 13 ( take square root of both sides )

x - 3 = ± $\sqrt{13}$ ( add 3 to both sides )

x = 3 ± $\sqrt{13}$

6 0

2 years ago

there are 120 people attending a wedding reception. There are 16 tables. Some are round and some are square. the round table sea

alexira [117]

So I won't tell you the answer but I will give you a clue. do 120 times 16 - 8 + 6

3 0

4 years ago