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4 years ago

What is the midpoint of the line segment with endpoints (–1, 7) and (3, –3)?

1 answer:

6 0

The coordinates consist of x coordinate and y coordinate
(x₁,y₁) = (-1,7)
(x₂,y₂) = (3,-3)

To find the midpoint of x coordinate, use this following formula
x midpoint = (x₁ + x₂)/2
x midpoint = (-1 + 3) / 2
x midpoint = 2/2
x midpoint = 1

To find the midpoint of y coordinate, use this following formula
y midpoint = (y₁ + y₂)/2
y midpoint = (7 + (-3))/2
y midpoint = (7 - 3)/2
y midpoint = 4/2
y midpoint = 2

ANSWER
The midpoint is (1,2)

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Find the amount to be paid at the end of 6 months on rupee 1800 at 8% per annum compounded quarterly. Plz give me with all the s

grandymaker [24]

Answer:

<em>The amount to be paid is rupee 1872.72</em>

Step-by-step explanation:

<u>Compound Interest </u>

It occurs when interest in the next period is earned on the principal sum plus previously accumulated interest.

The formula is:

$\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}$

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

The initial amount is P=1800 at r=8% = 0.08 during t=6 months (t=0.5 years) compounded quarterly. There are 4 quarters in a year, thus n=4.

Calculating A:

$\displaystyle A=1800\left(1+{\frac {0.08}{4}}\right)^{4*0.5}$

$\displaystyle A=1800(1.02)^{2}$

A = 1872.72

The amount to be paid is rupee 1872.72

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3 years ago

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Answer:

$y = -\frac{1}{6}x +2$

Step-by-step explanation:

To write an equation into slope-intercept form, or y = mx + b format, we need to find the y-intercept of the line and its slope and substitute values for m and b.

1) First, find the y-intercept. The y-intercept is the point at which the line intersects the y-axis. Reading the graph, we can see that the line passes the y-axis at the point (0,2), thus that is the y-intercept.

2) Next, find the slope. Pick out two points on the graph to use for the slope formula, $\frac{y_2-y_1}{x_2-x_1}$ . I chose to work with (0,2) and (6,1). Now, substitute the two points' x and y values into the formula appropriately and solve:

$\frac{(1)-(2)}{(6)-(0)} \\= \frac{1-2}{6-0}\\= \frac{-1}{6}$

Thus, $-\frac{1}{6}$ is the slope.

3) Now, substitute the calculated values into the y = mx + b format. The b represents y-value of the y-intercept. The y-intercept is (0,2), thus substitute 2 for b. The coefficient of the x term, or m, represents the slope, thus substitute $-\frac{1}{6}$ for m. This will give the following equation of the line in slope-intercept format:

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Answer:

both people actually did the same work

Step-by-step explanation:

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