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Alexandra [31]
3 years ago
8

The annual interest rate on a loan is 12% which can be represented using the expression 1.12t. Write an expression that represen

ts the 6 month interest rate. A) 1.058t B) 1.0582t C) 1.119t D) 1.1192t
Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer:

B) 1.0583^t

Step-by-step explanation:

The formula for the interest earned on an investment is

I = (1 + r)^t

Data:

I = 1.12

t = 2

Calculations:

1.12 = (1 + r)²

Take the square root of each side

1.058 30 = 1 + r

Then, the formula for the interest calculated on a six-month basis is

I = 1.0583^t

The option with the closest answer is B) 1.0582^t.

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Answer:

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Step-by-step explanation:

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3 years ago
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John accepted a reduction of 15% on his salary when his company was not doing well. Now his company's financial position has imp
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To reverse a percentage decrease you divide it by the decrease (+ 100%)
For example we will pick the number, 100, which is decreased by 15% to 85.

To make 85 back to 100 we divide it by the decrease (1-0.15):
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To find out how much 85 increased to get back to 100, we do:
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Because percentages stay the same, this is applicable to any numbers, from this, we know that whenever something is reduced by 15% - when restored to it's original is increased by %17.65

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3 years ago
Find the least common denominator for the group of fractions.<br> 5/12, 9/14, 2/5, 1/10
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9514 1404 393

Answer:

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Step-by-step explanation:

The prime factors of each denominator are ...

  12 = 2²×3

  14 = 2×7

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The unique factors are 2²×3×5×7 = 420.

The least common denominator of these fractions is 420.

_____

<em>Additional comment</em>

  • 5/12 = 175/420
  • 9/14 = 270/420
  • 2/5 = 168/420
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