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bogdanovich [222]
2 years ago
8

As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1. 12.

If the cans are currently 12 cm tall, 6 cm in diameter, and have a volume of 339. 12 cm3, how much more will the new cans hold? Use 3. 14 for π and round your answer to the nearest hundredth. 476. 44 cm3 137. 32 cm3 815. 56 cm3 379. 81 cm3.
Mathematics
1 answer:
SashulF [63]2 years ago
7 0

Answer:

  (b)  137.32 cm³

Step-by-step explanation:

The volume of the larger similar container will be the cube of the scale factor times the volume of the original container. That is, the new container will have a volume that is 1.12³ = 1.404928 times the volume of the original.

The amount of increase will be 0.404928 times the original volume, or ...

  0.404928 × 339.12 cm³ = 137.32 cm³

The new cans will hold 137.32 cm³ more.

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$800 is deposited in an account that pays 9% annual interest compounded annually. Find the balance after four years
tester [92]

Answer:

<h2>$1,129.27</h2>

Step-by-step explanation:

Compounded interest formula is

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

Where A is the final amount, P is the principal, r is the anual interest in decimal, n is the numer of compounded periods in one year and t is the time in years.

P=\$800\\r=0.09\\n=1\\t=4

Notice that n=1, because the interest is compounded anually, if the interest is compounded, then n=12, because there would be 12 compound periods in one year.

Then, we replace all these vaules in the formula

A=P(1+\frac{r}{n})^{nt}\\A=800(1+\frac{0.09}{1})^{1(4)}=800(1.09)^{4}\\ A=1,129.26

Therefore, after 4 years, the amount would be $1,129.27.

7 0
3 years ago
1) At a store, 40% of all the refrigerators are silver. There are 50 silver
Rina8888 [55]

Answer:

ABCDEFGHIJKLMNOPQRSTUVWXYZ

4 0
3 years ago
Suponhamos que temos x casos confirmados de coronavírus e y casos suspeitos. A - Se triplicar os casos confirmados e cair a meta
aleksandr82 [10.1K]

Answer:

[3x + (y/2)]

Step-by-step explanation:

English Translation

Suppose we have x confirmed cases of coronavirus and y suspected cases. A - If the confirmed cases triple and half of the suspects fall, we will have the following expression to represent the total number of cases:

Solution

Number of confirmed cases = x

Number of suspected cases = y

Number of confirmed cases triples and becomes 3x

Half of the suspected cases fall and becomes (y/2)

Total number of cases then becomes

[3x + (y/2)]

In Portugese/Em português

Número de casos confirmados = x

Número de casos suspeitos = y

O número de casos confirmados triplica e se torna 3x

Metade dos casos suspeitos cai e se torna (y / 2)

O número total de casos passa a ser

[3x + (y / 2)]

Hope this Helps!!!

Espero que isto ajude!!!

8 0
3 years ago
If it takes 10 seconds for 10 printers to print out 10 pages of paper, how many seconds will it take 50 printers to print out 50
Fed [463]

Lets use the formula RWT=J to solve this, where,

  • R is the rate
  • W is the number of workers/things
  • T is time
  • J is number of jobs/things

<em><u>"If it takes 10 seconds for 10 printers to print out 10 pages of paper"</u></em> - here -

W is 10 printers, T is 10 seconds,  and J is 10 pages. We can write:

R(10)(10)=10\\R(100)=10\\R=\frac{10}{100}\\R=0.1


<u><em>"how many seconds will it take 50 printers to print out 50 pages of paper"</em></u><em> - here we use R=0.1 (previously found) to figure out T.</em>

<em>RWT=J\\(0.1)(50)T=50\\5T=50\\T=\frac{50}{5}\\T=10</em>

So it will take 10 seconds for 50 printers to print 50 pages.


ANSWER: 10 seconds

4 0
3 years ago
Read 2 more answers
the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.
wel

Answer:

\sqrt{14}

Step-by-step explanation:

In any square with side length s, the diagonal of the square is equal to s\sqrt{2}. Since the side length of this square is \sqrt{7}, the diagonal is equal to \sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}.

Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states a^2+b^2=c^2, where c is the hypotenuse of the triangle, and a and b are the two legs of the triangle.

In this question, both legs are equal to \sqrt{7}, and we're solving for the diagonal, which is the hypotenuse in this case:

\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}

4 0
3 years ago
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