compund interest, depreciation,expressions,equations, inequalities, right angle trigonometry,polygon Flashcards

(27 cards)

1
Q

What is the formula for compound interest?

A

A = P(1 + r/n)^(nt)

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2
Q

In the compound interest formula, what does ‘P’ represent?

A

The principal amount (the initial amount of money)

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3
Q

True or False: Compound interest is calculated on the initial principal only.

A

False

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4
Q

What does ‘r’ represent in the compound interest formula?

A

The annual interest rate (decimal)

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5
Q

In the context of depreciation, what is the straight-line method?

A

A method where an equal amount is deducted from the value of an asset each year.

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6
Q

Fill in the blank: The formula for calculating depreciation using the straight-line method is _____.

A

Depreciation Expense = (Cost - Salvage Value) / Useful Life

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7
Q

What is an expression in mathematics?

A

A combination of numbers, variables, and operators without an equality sign.

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8
Q

True or False: An equation must have an equality sign.

A

True

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9
Q

What is the difference between an equation and an inequality?

A

An equation states that two expressions are equal, while an inequality indicates that one expression is greater than or less than another.

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10
Q

Which of the following is an example of an inequality? A) x + 2 = 5 B) x - 3 > 2

A

B) x - 3 > 2

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11
Q

Define a right angle in trigonometry.

A

An angle that measures 90 degrees.

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12
Q

What is the Pythagorean theorem?

A

a² + b² = c², where c is the hypotenuse of a right triangle.

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13
Q

Fill in the blank: The sum of the interior angles of a polygon with n sides is _____.

A

(n - 2) × 180 degrees

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14
Q

How many sides does a hexagon have?

A

6 sides

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15
Q

True or False: A triangle is a polygon.

A

True

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16
Q

What is the area formula for a triangle?

A

Area = 1/2 × base × height

17
Q

What does ‘n’ represent in the compound interest formula?

A

The number of times interest is compounded per year

18
Q

What is the formula for calculating the future value of an investment using compound interest?

A

Future Value = Present Value × (1 + r)^t

19
Q

What is a regular polygon?

A

A polygon with all sides and angles equal.

20
Q

What is the formula for the perimeter of a regular polygon?

A

Perimeter = number of sides × length of one side

21
Q

True or False: The exterior angle of a polygon is equal to the sum of the interior angles.

22
Q

How do you find the length of the hypotenuse in a right triangle?

A

Use the Pythagorean theorem: c = √(a² + b²)

23
Q

What is the sine function in a right triangle?

A

Sine = opposite side / hypotenuse

24
Q

What is the cosine function in a right triangle?

A

Cosine = adjacent side / hypotenuse

25
What is the tangent function in a right triangle?
Tangent = opposite side / adjacent side
26
What is the formula for the volume of a rectangular prism?
Volume = length × width × height
27
In the context of inequalities, what does '≥' signify?
Greater than or equal to