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2 years ago

12. Currently, there are 350 students in the seventh grade at Winchester

Mathematics

1 answer:

sweet [91]2 years ago

5 0

Answer:

Winchester Heights Middle School plan to have 385 students in the upcoming school year.

Step-by-step explanation:

Total number of students in the seventh grade at Winchester Heights Middle School = 350

For the upcoming school year, they are planning to increase the number of seventh graders by 10%.

Rate of increase = r = 10% = 0.1

Formula : $N(t)=N_0(1+r)^t$

Where $N_0$ = initial population = 350

r = rate of increase =0.1

N(t)=Population after t years

t = time in years

So, Population after 1 year = $350(1+0.1)^1 =385$

Hence Winchester Heights Middle School plan to have 385 students in the upcoming school year.

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Answer:

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Step-by-step explanation:

Tamira invests $5,000 in an account

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Time = 3 years

Case 1:

Principal = 5000

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Time = 3 years

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Case 2:

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Case 3:

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Time = 3 years

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Case 4:

Principal = 5000

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3 years ago

Read 2 more answers

Could someone help me, please?

k0ka [10]

We can rewrite the expression under the radical as

$\dfrac{81}{16}a^8b^{12}c^{16}=\left(\dfrac32a^2b^3c^4\right)^4$

then taking the fourth root, we get

$\sqrt[4]{\left(\dfrac32a^2b^3c^4\right)^4}=\left|\dfrac32a^2b^3c^4\right|$

Why the absolute value? It's for the same reason that

$\sqrt{x^2}=|x|$

since both $(-x)^2$ and $x^2$ return the same number $x^2$ , and $|x|$ captures both possibilities. From here, we have

The absolute values disappear on all but the $b$ term because all of $\dfrac32$ , $a^2$ and $c^4$ are positive, while $b^3$ could potentially be negative. So we end up with

$\dfrac32a^2\left|b^3\right|c^4=\dfrac32a^2|b|^3c^4$

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3 years ago