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3 years ago

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Use synthetic division to divide (x3 + x2 – 40x – 4) ÷ (x – 6). A. x2 + 7x + 2 R 8 B. x2 + 5x – 2 R 6 C. x3 + 6x – 1 R 2 D. x2 –

7x + 3 R 5

1 answer:

alex41 [277]3 years ago

4 0

Your answer is option A.

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s344n2d4d5 [400]

formula is $A=P(1-\frac{r}{n})^{nt}$

where A=final amount

P=principal

r=interest rate in decimal

n=number of times per year it is compounded

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A=2P

and P=5745

and r=6.5%=0.065

n=monthly=12

remember that $ln(x^a)=a(ln(x))$

also that $(a^b)^c=a^{bc}$

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divide both sides by 5745 to simplify things a bit

$2=(1+\frac{0.065}{12})^{12t}$ I'd rather not simplify this because it give us a decimals and those aren't exact, if we combine, we get 12.065/12 for inside parenthases

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take ln of both sides

$ln(2)=ln((\frac{12.065}{12})^{12t})$

$ln(2)=(12t)ln(\frac{12.065}{12})$

divide both sides by $12ln(\frac{12.065}{12})$

$\frac{ln(2)}{12ln(\frac{12.065}{12})}=t$

using our calculator, t≈10.6927

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Step-by-step explanation:

<h3><em><u>Given</u></em><em><u>:</u></em></h3>

Length of the rectangle = 6.5 m

Width of the rectangule = 7.3 m

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<u>First</u><u> </u><u>case</u><u>,</u>

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= length × width

= 6.5 m × 7.3 m

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<u>Second</u><u> </u><u>case</u><u>,</u>

Perimeter of the rectangle

= 2(length + width)

= 2(6.5 + 7.3)m

= 2 × 13.8 m

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