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kirill [66]
3 years ago
9

What is the difference between the exact simple interest and the ordinary simple interest on a 200-day loan of 5,000 at 12%

Mathematics
1 answer:
77julia77 [94]3 years ago
6 0

Answer:

  4.56

Step-by-step explanation:

"Ordinary" interest will be more than "exact" interest because the number of days in a year is a smaller value. The difference will be ...

  Io = Prt = 5000(0.12)(200/360) = 333.33

  Ie = Prt = 5000(0.12)(200/365) = 328.77

The difference is ...

  333.33 -328.77 = 4.56 . . . the difference in interest values

_____

<em>Additional comment</em>

The question asks for the difference between exact and ordinary interest, so the result is technically negative:

  328.77 -333.33 = -4.56

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Step-by-step explanation:

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Answer:

<h3>Given</h3>
  • m∠REG = 78°
  • mAR = 46°
  • ER ≅ GA
<h3>Solution</h3>
  • m∠GAR = 180° - m∠REG = 180° - 78° = 102° (supplementary angles sum to 180°)
  • m∠TAR = 1/2mAR = 1/2(46°) = 23°   (tangent chord angle is half the size of intercepted arc)
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Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.
klasskru [66]

Answer:

See the explanation

Step-by-step explanation:

We know that

f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x

Lets calculate the derivatives:

f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)

f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x

Similarly:

f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x

f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x

Rearrange:

f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24

f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x

Rearrange:

f''''(x) = 720x² + (24/x⁵) - 16sin2x +72

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