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MatroZZZ [7]
3 years ago
9

Aiden earned $50 in interest in six

Mathematics
2 answers:
Hunter-Best [27]3 years ago
7 0

9514 1404 393

Answer:

  $2000

Step-by-step explanation:

The amount of interest is given by the formula ...

  I = Prt

where P is the principal invested, r is the annual rate, and t is the number of years. Here, we want to find P when I = 50, r = 0.05, and t = 1/2.

  50 = P(0.05)(1/2)

  P = 50/(0.05·1/2) = 2000

Alden started with $2000 in his account.

notsponge [240]3 years ago
7 0
$2000
Hope this helps you
May God bless you and your family
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In a right triangle, the hypotenuse is three inches more than twice the length of one leg. If the other leg is 12 inches, what i
andrew-mc [135]

Answer:

Length of hypothenuse = 13 inches

Length of other leg = 5 inches

Step-by-step explanation:

A triangle has three sides and three angles. A right angle triangle has 90 degrees as one of the angles. The remaining two angles are complimentary. This means that the sum if the other two angles is 90 degrees.

The longest side is the hypotenuse. The shorter sides are the opposite and adjacent.

In this triangle, the hypotenuse is three inches more than twice the length of one leg. Let the length of one leg be x inches.

Hypothenuse = 2x + 3

The other leg is 12 inches.

The diagram is illustrated in the attached photo.

Applying Pythagoras theorem,

Hypothenuse ^2 = adjacent^2 + opposite ^2

(2x+3)^2 = 12^2 + x^2

(2x+3)(2x+3)= 144 + x^2

4x^2 + 6x + 6x + 9 = 144 + x^2

4x^2 - x^2 + 6x + 6x + 9 - 144 = 0

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3x^2 +27x - 15x - 135 = 0

3x(x+9)-15(x+9)=0

(3x -15)(x+9) = 0

3x -15 = 0 or x+9= 0

3x = 15 or x = -9

x = 15/3 = 5

x = 5inches because it cannot be negative.

Length of hypothenuse = 2x + 3

= 2×5 + 3 = 10 + 3 = 13 inches

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