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Lynna [10]
3 years ago
7

A person places $736 in an investment account earning an annual rate of 1.3%,

Mathematics
1 answer:
algol133 years ago
4 0

Answer:

  $755.39

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  V = P·e^(rt)

  V = $736·e^(0.013·2) ≈ $755.39

The amount in the account after 2 years is $755.39.

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The height of a triangle is 4 sqrt 3 . What is the perimeter of the equatorial triangle?
Karo-lina-s [1.5K]

The perimeter of the equatorial triangle is 24 units

<h3><u>Solution:</u></h3>

Given that,

An equilateral triangle has an height equal to 4 \sqrt{3}

The triangle is shown below

From Triangle ABC in the shown figure AD =4 \sqrt{3}

Let the sides of the equilateral triangle be ‘a’

AB = BC = a

Since, it is an equilateral triangle we get,

BD = DC = a ÷ 2

Now, using Pythagoras Theorem in Triangle ABD,

The Pythagorean theorem is this: In a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

\mathrm{AB}^{2}=\mathrm{BD}^{2}+\mathrm{AD}^{2}

\begin{array}{l}{a^{2}=\left(\frac{a}{2}\right)^{2}+(4 \sqrt{3})^{2}} \\\\ {a^{2}-\left(\frac{a}{2}\right)^{2}=(4 \sqrt{3})^{2}}\end{array}

\frac{4 a^{2}-a^{2}}{4}=16 \times 3

\begin{array}{l}{\frac{3 a^{2}}{4}=16 \times 3} \\\\ {3 a^{2}=192} \\\\ {a^{2}=192 \div 3=64}\end{array}

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Perimeter = 3 \times 8 = 24

Thus the perimeter of the equatorial triangle is 24 units

7 0
4 years ago
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