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3 years ago

Solve the following by factoring. 12x^2 -7x -12 = 0

Mathematics

1 answer:

nirvana33 [79]3 years ago

7 0

Solution:

The given equation is

$12x^2 -7x -12 = 0$

Now we will factor the middle term as per the ac-method because the given equation is a quadratic equation.

$12x^2 -7x -12 = 0\\\\12x^2-16x+9x-12=0\\\\4x(3x-4)+3(3x-4)=0\\\\(3x-4)(4x+3)=0\\\\3x-4=0,or, 4x+3=0\\\\x=\frac{4}{3},x=\frac{-3}{4}\\$

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Answer:

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d) Effective annual rate: 20.44%

Step-by-step explanation:

The effective annual interest rate, if it is not compounded continuously, is given by the formula

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r = nominal interest per year

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In the special case the interest rate is compounded continuously, the interest is given by

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$I=C(1+\frac{0.186}{1})-C=C(1.186)-C=C(1.186-1)=C(0.186)$

The effective annual rate is 18.6%

(b) Monthly

There are 12 months in a year

$I=C(1+\frac{0.186}{12})^{12}-C=C(1.2027)-C=C(0.2027)$

The effective annual rate is 20.27%

(c) Daily

There are 365 days in a year

$I=C(1+\frac{0.186}{365})^{365}-C=C(1.2043)-C=C(0.2043)$

The effective annual rate is 20.43%

(d) Continuously

$I=Ce^{0.186}-C=C(1.2044)-C=C(0.2044)$

The effective annual rate is 20.44%

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