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3 years ago

A segment had a coordinates (-4, 9) and (0, 7). What is the midpoint of the segment

1 answer:

4 0

The x-coordinate of the midpoint is the average of the x-coordinates of the endpoints. The y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

x-coordinate of midpoint: (-4 + 0)/2 = -4/2 = -2

y-coordinate of midpoint: (9 + 7)/2 = 16/2 = 8

Answer: The midpoint is (-2, 8).

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What is the rate on an investment that doubles $5051 in 9 years? Assume interest is compounded quarterly.

Inessa [10]

Answer:

The rate at which the investment gets double is 7.776

Step-by-step explanation:

Given as :

The principal investment = $ 5051

The time period of investment = 9 years

Let The rate of interest = R % compounded quarterly

The Amount gets double

So, <u>From Compounded method</u>

Amount = Principal × $(1+\dfrac{rate}{4\times 100})^{4\times Time}$

Or, 2 × P = P × ( 1 + $\dfrac{\textrm R}{400})^{\textrm 36}$

Or, 2 = ( 1 + $\dfrac{\textrm R}{400})^{\textrm 36}$

Or, $2^{\frac{1}{36}}$ = 1 + $\dfrac{\textrm R}{400}$

or, 1.01944 - 1 = $\dfrac{\textrm R}{400}$

or, 0.01944 = $\dfrac{\textrm R}{400}$

∴ R = 0.01944 × 400 = 7.776

Hence The rate at which the investment gets double is 7.776 Answer

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3 years ago

Find the Area of the Shaded Region.

Ksju [112]

Answer:

A of the shaded figure is 4840cm

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3 years ago

How many times greater is 6.6 * 10^10 than 3 * 10^7

sweet-ann [11.9K]

Ten times greater than 6.6*10^10 and 3*10^7

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4 years ago

Plz Help me

Dafna1 [17]

Answer:

6/0

Step-by-step explanation:

Step 1: Label your x and y's

(0,-11) (0, 5)

x1 y1 x2 y2

Step 2: Plug in your x1, x2, y1, and y2 into the slope formula

The slope formula is y1 -y2/ x1 - x2

-5-(-11)/ 0 = 6/0

Undefined

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3 years ago

C is the set of months whose name consists of 6 letters choose the correct answer

Archy [21]

Answer:

August

Step-by-step explanation:

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3 years ago