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photoshop1234 [79]
3 years ago
13

What is 100 to the 20th power called?

Mathematics
2 answers:
dimulka [17.4K]3 years ago
8 0
I think it is
1,000 <span>quintillion</span>
VARVARA [1.3K]3 years ago
4 0
<span>100,000,000,000,000,000,000 100 quintillion</span>
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In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population
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The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

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y=a(1+r)^{t}

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<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of <em>r</em> as follows:

y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145

Now, compute the time it will take the population to grow to 800 insects as follows:

800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17

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