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In-s [12.5K]
3 years ago
5

SQUARE If PR = 4x+15 and SQ =47, find the value of x. Р Q T S R

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
7 0

Answer:

  x = 8

Step-by-step explanation:

The diagonals of a square (or any rectangle) are the same length.

  PR = SQ

  4x +15 = 47

  4x = 32 . . . . . . subtract 15

  x = 8 . . . . . . . divide by 4

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Step-by-step explanation:

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3 years ago
7. Find the amount of money accumulated if you invest $10,000 at 3% interest compounded continuously for 2 years. Round your
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Answer:

$10618.37

Step-by-step explanation:

Use the formula for compound interest:

P(t) = P_0e^(rt)

You can look the formula up online to find what each variable represents.

First, our principal amount (P) is 10,000. Our interest rate (r) is 3% and our time (t) is 2. Substitute these into the equations in each variables' place. The equation will look like this:

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Note that e is approximately 2.7183 .

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3 years ago
Item 12
svet-max [94.6K]
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PART A:

Scientific notation is given by A×10ⁿ where A is any number in a unit and 'n' is an integer.

0.000025 = 2.5×10⁻⁵

PART B:

Diameter of grain of sand ÷ Diameter of human body average cell
(2×10⁻⁴) ÷ (1×10⁻⁵) 
(2÷1) × (10⁻⁴÷10⁻⁵)
2 × (10⁻⁴ ⁻ ⁻⁵) = 2 × 10⁽⁻⁴⁺⁵⁾ = 2 × 10¹ = 20 times bigger

PART C:

The diameter of human body's average cell in nanometer
1 × 10⁻⁵ metre = 1 × 10⁻⁵ × 10⁹ = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ nanometer

PART D:

Smallest bacteria = 300 nanometer
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PART E:

Laws of exponents that are applied in scientific notation is 

xᵇ × xᵃ = x⁽ᵇ⁺ᵃ⁾
xᵇ ÷ xᵃ = x⁽ᵇ⁻ᵃ⁾

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3 years ago
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