All categories

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.

You might be interested in

Tamira invests $5,000 in an account that pays 4% annual interest. How much will there be in the account after 3 years if the int

Talja [164]

Answer:

There will be $5624.32 in the account after 3 years if the interest is compounded annually.

There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.

There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.

There will be $5636.359 in the account after 3 years if the interest is compounded monthly

Step-by-step explanation:

Tamira invests $5,000 in an account

Rate of interest = 4%

Time = 3 years

Case 1:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 1

Formula : $A=P(1+r)^t$

$A=5000(1+0.04)^3$

A=5624.32

There will be $5624.32 in the account after 3 years if the interest is compounded annually.

Case 2:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 2

Formula : $A=P(1+\frac{r}{n})^{nt}$

$A=5000(1+\frac{0.04}{2})^{2 \times 3}$

A=5630.812

There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.

Case 3:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 4

Formula : $A=P(1+\frac{r}{n})^{nt}$

$A=5000(1+\frac{0.04}{4})^{4 \times 3}$

A=5634.125

There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.

Case 4:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 4

Formula : $A=P(1+\frac{r}{n})^{nt}$

$A=5000(1+\frac{0.04}{12})^{12 \times 3}$

A=5636.359

There will be $5636.359 in the account after 3 years if the interest is compounded monthly

8 0

3 years ago

Martha buys a surfboard that cost $405 for 40% off. How much money does she save?

alukav5142 [94]

Answer:

$162

Step-by-step explanation:

Discount = percentage discount ÷ 100 × original cost

Discount = $\frac{40}{100}$ × $405 = $162

7 0

2 years ago

What are the 3 characteristics of a polygon

Bingel [31]

Answer: The number of sides of the shape.

The angles between the sides of the shape.

The length of the sides of the shape.

Step-by-step explanation:

7 0

2 years ago

Alfonso bought 1/2 pound of raisins, 2/5 pound of walnuts, and 1/3 pound of almonds. Write a comparison statement comparing the

elixir [45]

2/5 lbs walnuts > 1/3 lbs almonds
Hope this helped ;)

5 0

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

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

3 0

3 years ago