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hoa [83]
3 years ago
9

Prove lines AI and GJ are parallel.

Mathematics
1 answer:
Vanyuwa [196]3 years ago
6 0

Answer:

Step-by-step explanation:

Because line FE creates the same angle (a) when intersecting AI and GJ

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4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take
Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

A(t)=P(1+r)^t

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t.  Filling in:

33800=4400(1+.075)^t and

33800=4400(1.075)^t

Begin by dividing both sides by 4400 to get

7.681818182=1.075^t

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

ln(7.6181818182=ln(1.075)^t

The power rule of natural logs says we can move that exponent down in front, giving us:

ln(7.681818182)=t*ln(1.075)

Divide both sides by ln(1.075) to get

\frac{ln(7.61818182)}{ln(1.075)} =t

Do this division on your calculator to get

t = 28.2 years

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Step-by-step explanation:

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Which is not a true statement about the transformation shown below?
IrinaVladis [17]

Answer: C: The orientation of the figure stayed the same

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Everything else is true

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B. The pre-image does start in the top left which is quadrant 1

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