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Dominik [7]
2 years ago
10

Angle ABD measures (4x + 10)o. Angle ACD measures (5x − 2)o.

Mathematics
2 answers:
melamori03 [73]2 years ago
7 0

Answer:

96°

Step-by-step explanation:

natta225 [31]2 years ago
4 0

Answer: 116°

Step-by-step explanation:

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A mountain climber took 2 minutes to rappel down 60 feet. Which equation shows the correct calculation to show his movement per
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Eli invested $ 330 $330 in an account in the year 1999, and the value has been growing exponentially at a constant rate. The val
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Answer:

The value of the account in the year 2009 will be $682.

Step-by-step explanation:

The acount's balance, in t years after 1999, can be modeled by the following equation.

A(t) = Pe^{rt}

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$330 in an account in the year 1999

This means that P = 330

$590 in the year 2007

2007 is 8 years after 1999, so P(8) = 590.

We use this to find r.

A(t) = Pe^{rt}

590 = 330e^{8r}

e^{8r} = \frac{590}{330}

e^{8r} = 1.79

Applying ln to both sides:

\ln{e^{8r}} = \ln{1.79}

8r = \ln{1.79}

r = \frac{\ln{1.79}}{8}

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Determine the value of the account, to the nearest dollar, in the year 2009.

2009 is 10 years after 1999, so this is A(10).

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A(10) = 330e^{0.0726*10} = 682

The value of the account in the year 2009 will be $682.

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2 years ago
Vijay has an annual salary of 47,000, and his company pays him twice a month. What is the gross income in each paycheck that Vij
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Alright, so he has an <em>annual </em>salary of 47,000 dollars. Which means that he is paid 47,000 dollars in 12 months. You'll first have to calculate the pay Vijay receives <em>each month</em>, which is \frac{47,000}{12 months}, or about $3,916.67 (I'll round up to 3917 for simplicity). 

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Kelly asked some of her classmates how many hours of sleep they get on school nights. Here are the results:
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All three are equal to 8

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