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mylen [45]
3 years ago
7

sophia borrowed $12,109 at 4.5% simple interest for 6 months. How much will the interest amount to? What is the total amount tha

t she will have to pay back at the end of 6 months?
Mathematics
1 answer:
Yuri [45]3 years ago
5 0
The applicable formula is
  I = Prt
where P = the principal value (12109), r is the interest rate (0.045), and t is the time period in years (1/2)

a) Substituting the given values, the interest amount is computed as
  I = ($12,109)(.0.45)(1/2)
  I = $272.45

b)
The amount Sophia will have to pay back is the sum of the principal amount and the interest owed.
  $12,109 + 272.45 = $12,381.45
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The diameter of a circle is 23 inches and the circle has two chords of length 14 inches what is the distance from each chord to
Svetradugi [14.3K]

Answer:

9.12 + 9.12 = 18.24 inches

Step-by-step explanation:

Diameter = 23 inches (given)

Radius = 11.5 inches

2 Chords of length = 14 inches ( You didn't specify if the 14 inches is for both chords or for a single cord. I'll assume it's for two cords 14 and 14inches apart.

To clearly solve this, we'll make some mild assumptions.

Let the perpendicular distance of the chords from the center of the circle to represented as " x and y"

Therefore:

x^2 + 7^2 = 11.5 ^ 2

x^2 + 49 = 132.25

x^2 = 132.25 - 49

x^2 = 83.25

x = √ 83.25

x = 9.12 inches

Since the cords have thesame length (Assumed from the way the question was structured, the distance would still be thesame)

y^2 + 7^2 = 11.5 ^ 2

y^2 + 49 = 132.25

y^2 = 132.25 - 49

y^2 = 83.25

y = √ 83.25

y = 9.12 inches

Therefore, the distance will be :

9.12 + 9.12 = 18.24 inches

Have fun!

6 0
3 years ago
27.9 divided by 0.3.
dolphi86 [110]

Answer:

93

Step-by-step explanation:

6 0
3 years ago
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Solve for x.<br><br> 3/4x + y = e<br><br> Show work.
12345 [234]
To solve for x you need to get it by itself
start by subtracting y
3/4x=e-y
then divide by 3/4 or multiply by 4/3
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5 0
3 years ago
the sum of six interior angles of a regular octagon is 800 the other two angles are equal find the size of each angle​
frosja888 [35]

An octagon is a polygon with 8 sides and angles. The two equal angles are 140 degrees each

<h3>How to calculate the sum of an interior angle of a polygon?</h3>

An octagon is a polygon with 8 sides and angles

The formula for calculating the sum of interior angle of a regular polygon is expressed as:

S = (n-2) * 180

If the sum of six interior angles of a regular octagon is 800 the other two angles are equal, then;

800 + 2x = (8-2)*180

800 + 2x = 1080
2x = 1080 - 800
2x = 280
x = 140

The two equal angles are 140 degrees each

Learn more on interior angles here: brainly.com/question/24966296

4 0
3 years ago
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V125BC [204]

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