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3 years ago

If $5000 earns $6000 simple interest in 12 years, find the interest rate.

Mathematics

2 answers:

sdas [7]3 years ago

7 0

Answer:

2.2% interest

Step-by-step explanation:

shepuryov [24]3 years ago

3 0

The interest rate would be 10% per year

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A yardstick casts a shadow of 24 in. at the same time a telephone pole casts a shadow of 20 ft 8 in. What is the height of the t

BabaBlast [244]

1 yd = 36 in; 20 ft 8 in = 248 in;
We will use a proportion:
36 : 24 = x : 248
24 x = 36 * 248
24 x = 8,928
x = 8,928 : 24 = 372
Answer: C ) 372 in

5 0

3 years ago

Find the solutions to x2 = 28.

mr Goodwill [35]

Answer: $x = \pm2\sqrt{7}\\\\$

Work Shown:

$x^2 = 28\\\\x = \pm\sqrt{28}\\\\x = \pm\sqrt{4*7}\\\\x = \pm\sqrt{4}*\sqrt{7}\\\\x = \pm2\sqrt{7}\\\\$

This can be rewritten into $x = 2\sqrt{7} \ \text{ or } \ x = -2\sqrt{7}$

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3 years ago

I participated in a math competition but I did not do very good. Does anybody have some tips?

Stells [14]

Study 5 times on the subject you are focusing on.

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3 years ago

One endpoint of a line segment is (–6, 4), and the midpoint of the segment is (–2, 7). What are the coordinates of the other end

Arturiano [62]

Answer:

A. (2, 10)

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on a coordinates plane then

coordinates of the midpoint is given by (x1+x2)/2, (y1+y2)/2

__________________________________________________

Given

one endpoint is (–6, 4) and midpoint is (–2, 7)

let coordinates of other endpoint be (x,y)

now if one endpoint is (–6, 4) and other endpoint is (x,y)

then coordinates of midpoint is ((-6+x)/2 , (4+y)/2)

while the coordinates of midpoint given is (–2, 7)

thus (–2, 7) should be equal to ((-6+x)/2 , (4+y)/2)

-2 = (-6+x)/2 and 7 = (4+y)/2

=> -2*2 = -6+x => 7*2 = 4+y

=> -4 = -6+x => 14 = 4+y

=> -4+6 = x => 14-4 = y

=> x = 2 => 10 = y

Thus, coordinates of the other endpoint is(2,10)

6 0

3 years ago

What is the midpoint of the segment shown below?

kolbaska11 [484]

The midpoint of the segment is (-15/2, -15/2)

<h3>How to determine the midpoint?</h3>

The complete question is in the attached image

The points are given as:

(-8, -7) and (-7, -8)

The midpoint is calculated as:

(x,y) = 1/2 * (x1 + x2, y1 + y2)

So, we have:

(x,y) = 1/2 * (-8 - 7, -7 - 8)

Evaluate the difference

(x,y) = 1/2 * (-15, -15)

Evaluate the product

(x,y) = (-15/2, -15/2)

Hence, the midpoint of the segment is (-15/2, -15/2)