I need help on Question 5.

Mathematics

1 answer:

Lynna [10]3 years ago

4 0

I think It might be number C.

If it's not I'm sorry.

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20.25 is the length of each side

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Makoto and his friends rolled 2 fair number cubes 500 times & recorded the sum of the numbers shown on the cubes each time.

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The correct answer is this one: "b.) 1/12." <span>Makoto and his friends rolled 2 fair number cubes 500 times & recorded the sum of the numbers shown on the cubes each time.
</span>
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solve the problem related to population growth.A city had a population of 23,900 in 2007 and a population of 25,100 in 2012.(a)

Finger [1]

Solution

To find the exponential growth function, we apply the exponential growth formula which is

$N(t)=a(1+k)^t$

Where

$\begin{gathered} a\text{ is the }initial\text{ population} \\ k\text{ is the growth rate} \\ t\text{ is the number of time intervals} \end{gathered}$

Given that

$\begin{gathered} a=23,900 \\ N(5)=25,100 \\ t=2012-2007=5 \end{gathered}$

Substitute the variables into the exponential growth formula

$\begin{gathered} 25100=23900(1+k)^5 \\ \text{Divide both sides by 23,900} \\ \frac{25100}{23900}=\frac{23900(1+k)^5}{23900} \\ 1.05021=(1+k)^5^{} \\ \sqrt[5]{1.05021}=1+k \\ 1.00984=1+k \\ \text{Collect like terms} \\ k=1.00984-1 \\ k=0.00984 \end{gathered}$

Hence, the exponential growth function is