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vaieri [72.5K]
4 years ago
14

Calculate the midpoint between (2,-5) and (4, -7).

Mathematics
1 answer:
balandron [24]4 years ago
5 0

The midpoint between (2,-5) and (4, -7)  is Option D.(3-6)

Step-by-step explanation:

Given:

Points (2,-5) and (4, -7)

To Find:

Midpoint of the points=?

Solution:

The midpoint that lies between the two points is given by

(x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Where

(x_m, y_m)= coordinates of the midpoint

(x_1, y_1)= coordinates of the first point

(x_2, y_2)= coordinates of the second point

we have,

x_1= 2

y_1= -5

x_2= 4

y_2= -5

Substituting the values in the mid point formula,

(x,y)=(\frac{(2+4)}{2},\frac{(-5-7)}{2})

(x,y)=(\frac{(6)}{2},\frac{(-12)}{2})

(x,y)=(3,-6)

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64 divided by 8 = 8

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4 0
3 years ago
Determine how long it will take for a principal amount of $13,000 to double its initial value when deposited into an account pay
bezimeni [28]

Compound interest can be defined as the interest <em>on a deposited amount, an investment</em> that is <em>compounded based on its principal and interest rate.</em>

It will take about 3.239 years for the principal amount of $13,000 to double its initial value.

From the above question, we can deduce that we are to find the time "t"

The formula to find the time "t" in compound interest is given as:

t = ln(A/P) / r

where:

P = Principal = $13,000

R = Interest rate = 21.4%

A = Accumulated or final amount

From the question, the Amount "A" is said to be the double of the principla.

Hence,

A = $13,000 x 2

= $26,000

  • Step 1: First, convert R as a percent to r as a decimal

r = R/100

r = 21.4/100

r = 0.214 per year.

  • Step 2: Solve the equation for t

t = ln(A/P) / r

t = ln(26,000.00/13,000.00) / 0.214

t = 3.239 years

Therefore, it will take about 3.239 years for the principal amount of $13,000 to double its initial value.

To learn more, visit the link below:

brainly.com/question/22471957

7 0
3 years ago
A plane flew 500 miles in 40 minutes. How long would it take to fly 1 mile
mina [271]
I believe it’s 12.5 miles
3 0
3 years ago
a family biys airline tickets online. each ticket costs $167. the family buys travel insurance with each ticket that costs $19 p
My name is Ann [436]
167 + 19 = 186x

186x + 16 = 1132

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186x = 1116

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4 0
3 years ago
A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f
jonny [76]

Answer:

2580 ft-lb

Step-by-step explanation:

Water leaks out of the bucket at a rate of \frac{0.15 \mathrm{lb} / \mathrm{s}}{1.5 \mathrm{ft} / \mathrm{s}}=0.1 \mathrm{lb} / \mathrm{ft}

Work done required to pull the bucket to the top of the well is given by integral

W=\int_{a}^{b} F(x) dx

Here, function F(x) is the total weight of the bucket and water x feet above the bottom of the well. That is,

F(x)=4+(42-0.1 x)

=46-0.1x

a is the initial height and b is the maximum height of well. That is,

a=0 \text { and } b=60

Find the work done as,

W=\int_{a}^{b} F(x) d x

=\int_{0}^{60}(46-0.1 x) dx

&\left.=46x-0.05 x^{2}\right]_{0}^{60}

=(2760-180)-0[

=2580 \mathrm{ft}-\mathrm{lb}&#10;

Hence, the work done required to pull the bucket to the top of the well is 2580 \mathrm{ft}- \mathrm{lb}

4 0
3 years ago
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