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3 years ago

How much interest is earned in 2 years on an investment of $2000? The interest rate is 3%.

Mathematics

1 answer:

Lelechka [254]3 years ago

7 0

In this sum we will calculate using the simple interest.

Simple interest is calculated from the formula :

I = PRT

where I is the interest, P is the principal, R is interest rate per year and t is time in years.

I = 2000 × 3 % x 2

We have to turn 3% to its decimal fraction which is 0.03, so:

I = 2000 × 0.03 × 2

I = 60 × 2

I = 120

Therefore the interest earned in two years will amount to 120 $

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Answer:

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Step-by-step explanation:

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3 years ago

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What is the surface area of the triangular prism?

ryzh [129]

Answer:

135 square feet.

Step-by-step explanation:

A triangular prism. The rectangular sides are 8 feet by 2.5 feet, 8 feet by 6 feet, and 8 feet by 6.5 feet. The triangular sides have a base of 2.5 feet and a height of 6 feet.

The prism has two triangular faces and three rectangular faces.

So, the surface area of the prism will be

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3 years ago

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Merry is making an abstract triangular collage for the wall. She has 14 feet of edging to go around the collage. If the longest

xxTIMURxx [149]

Answer:

The length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

Step-by-step explanation:

She has 14 feet of edging to go around the collage.

14 feet = Perimeter of the triangle

The Perimeter of a Triangle = a + b + c where

a = smallest side

b = other side(second side)

c = Longest side

From the question, we are told that:

If the longest side is twice the smallest

c = 2a

The other side is four less than three times the smallest,

The other side = b

b = 3 × a - 4

b = 3a - 4

Hence,

P = a + b + c

14 = a + 3a - 4 + 2a

14 = a + 3a + 2a -4

14 = 6a - 4

Collect like terms

14 + 4 = 6a

18 = 6a

a = 18/6

a = 3ft

Therefore the smallest side = 3

The Longest side(c) = 2a

c = 2 × 3

c = 6ft

The other side(b) = 3a - 4

= 3(3) - 4

= 9 - 4

= 5 feet.

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a = smallest side = 3 feet

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4 years ago

What is the solution to the equation 1/x = x+3/2x^2

Dimas [21]

Hello,

As you write 1/x, x must be different of 0.
$\dfrac{1}{x} = \dfrac{x+3}{2x^2} \\

==\textgreater\ 2x^2=x^2+3x \cross`\product \\

==\textgreater\ x^2-3x =0\\

==\textgreater\ x(x-3)=0 \\

==\textgreater\ x=0 (to exclude) or x=3\\

Answer\ x=3
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3 years ago

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After multiplying each side of the equation by the LCD and simplify , the resulting equation is

Orlov [11]

After multiplying each side of the equation by the LCD, the result will be
2(x² - x - 6) = x(x - 6) + 2x(2x + 12)

Then simplify and move all expression the the left of equal sign
2(x² - x - 6) = x(x - 6) + 2x(2x + 12)
2x² - 2x - 12 = x² - 6x + 4x² + 24x
2x² - x² - 4x² -2x + 6x - 24x - 12 = 0
-3x² -20x - 12 = 0

Multiply each side by -1
-3x² -20x - 12 = 0
3x² + 20x + 12 = 0

The answer is third option

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4 years ago