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chubhunter [2.5K]
2 years ago
15

⚠️ HELP ⚠️

Mathematics
2 answers:
Alona [7]2 years ago
8 0
<h2>A = 63 degrees</h2><h2>B = 36 degrees</h2><h3></h3><h3>Since angle <em>a</em> is supplementary to the 117 degree angle, we subtract 117 from 180.</h3><h3></h3><h3>180 - 117 = <u>63</u></h3><h3><u></u></h3><h3>We use that information to calculate angle <em>b. </em>Since all angles in a triangle add up to 180 degrees, we add 81 and 63, and then subtract that sum from 180.</h3><h3></h3><h3>81 + 63 = 144</h3><h3>180 - 144 = <u>36</u></h3><h3><u></u></h3><h3><em>Please let me know if I am wrong.</em></h3>
Cloud [144]2 years ago
7 0

a=180-117=63

b=180-81-63=36

so angle a is 63, and angle b is 36

please mark brainliest

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how long will it take an investment of $300 to triple, if the interest rate is 3.5% per year, compounded continuously?
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Answer:

31 years to triple the investment

Step-by-step explanation:

Initial investment = 300

Triple amount that is final amount = 300*3= 900

rate of interest = 3.5 % = 0.035

we need to find out number of years (t)

for compounded continuously we use formula

A= Pe^{rt}

A is the final amount

P is the initial amount

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900 = 300e^{0.035*t}

Divide both sides by 300

3 =e^{0.035*t}

take 'ln' on both sides

ln(3) =ln(e^{0.035*t})

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ln(e)= 1

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t= 31.3889

Round to nearest whole number

t= 31 years


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