When information is being gathered about a group, the entire group of objects, individuals or events is called the....

Mathematics

1 answer:

jenyasd209 [6]2 years ago

7 0

Answer:

so hard

Step-by-step explanation:

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A container in the shape of this cuboid holds 2 litres of water.

zysi [14]

Given:

Volume of cuboid container = 2 litres

The container has a square base.

Its height is double the length of each edge on its base.

To find:

The height of the container.

Solution:

We know that,

1 litre = 1000 cubic cm

2 litre = 2000 cubic cm

Let x be the length of each edge on its base. Then the height of the container is:

$h=2x$

The volume of a cuboid is:

$V=l\times w\times h$

Where, l is length, w is width and h is height.

Putting $V=2000,\ l=x,\ w=x,\ h=2x$ , we get

$2000=x\times x\times 2x$

$2000=2x^3$

Divide both sides by 2.

$1000=x^3$

Taking cube root on both sides.

$\sqrt[3]{1000}=x$

$10=x$

Now, the height of the container is:

$h=2x$

$h=2(10)$

$h=20$

Therefore, the height of the container is 20 cm.

8 0

3 years ago

You invest $300 at 4% interest, compounded every year. What will your balance be after 5 years? (Remember, the formula is A = P(

Stells [14]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill\\ P=\textit{original amount deposited}\to &\$300\\ r=rate\to 4\%\to \frac{4}{100}\to &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{every year, once} \end{array}\to &1\\ t=years\to &5 \end{cases} \\\\\\ A=300\left(1+\frac{0.04}{1}\right)^{1\cdot 5}\implies A=300(1.04)^5\implies A\approx 364.996$