Elena always puts 5/12 of the money she makes at work in her savings account. If she made $192 at work, how much money did she put in her savings account?

Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.

It says that three-fourth of the total weight is metal and says to find the weight of wooden part.

We can find the weight of metal part and then subtract it from the total weight to calculate the answer.

Total weight = 14.9 kilograms.

Metal part = three-fourth of total weight = [tex] \frac{3}{4} *14.9=\frac{44.7}{4} =11.175 \;kilograms [/tex]

Wooden part = 14.9 - 11.175 = 3.725 kilograms.

Hence, the wooden part is 3.725 kilograms.

3.725 kilograms or ¹/₄ part

Given:

An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms.

Question:

How much does the wood part of the sculpture weighs?

The Process:

From the information above, we make a diagram that matches the composition of the sculpture material.

[tex]\boxed{metal}\boxed{metal}\boxed{metal}\boxed{wood} = 14.9 \ kilograms[/tex]

And now, let us calculate the wood part of the sculpture weighs.

[tex]\boxed{ \ = \frac{1}{4} \times 14.9 \ kilograms \ }[/tex]

Both 4 and 14.9 are multiplied by 10.

[tex]\boxed{ \ = \frac{1}{40} \times 149 \ kilograms \ }[/tex]

[tex]\boxed{ \ = \frac{149}{40}  \ kilograms \ }[/tex]

Both the numerator and denominator are divided by 4.

[tex]\boxed{ \ = \frac{37.25}{10}  \ kilograms \ }[/tex]

[tex]\boxed{ \ = \frac{3,725}{1,000}  \ kilograms \ }[/tex]

[tex]\boxed{\boxed{ \ 3.725 \ kilograms \ }}[/tex]

Thus, the wood part of the sculpture weighs is 3.725 kilograms or ¹/₄ part.

Keywords: an artist, builds a sculpture, out of metal and wood, that weighs 14.9 kilograms, 3/4, metal, the rest is wood, how much, the wood part, of the sculpture weighs

Answer:

1.29 x 10^7 people

Step-by-step explanation:

1.29 x 10^7 people

All figures are in 3-D form. But the base of each polygonal prism is different.

One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.

A prism is a solid form that is enclosed by plane faces on all of its sides. A prism has two different kinds of faces. Bases refer to identical top and bottom faces. The name "prism" refers to the form of these bases.

All figures are in 3-D form. And all the figures are polygonal prism.

But the base of each polygonal prism is different.

More about the geometry link is given below.

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Answer:

n=21

Step-by-step explanation:

Ik im late but hopefully it can help other people :)

The equation is :

4(9+n)=120

n+9=120/4

n+9=30

n+9-9=30-9

n=21

Please rate... Thankyou :)

Answer: $2875

Step-by-step explanation:

The formula to calculate the simple interest is given by :-

[tex]S.I.=P\times r\times t[/tex], where P is the principal amount , r is the rate of interest and t is the time period.

Given: Principal amount = $2500

Rate of interest = 15%=0.15

Time period = 1 year

Now, the simple interest gained by Darrel after 1 year will be :-

[tex]S.I.=2500\times 0.15\times 1=\$375[/tex]

Now, the total amount his friend owed altogether= [tex]P+I=2500+375=\$2875[/tex]

The value of Terrence's car after x years is

A = 20,000 ( [tex]1-0.15)^x[/tex]

Subtract the asset's salvage value (what you expect it to be worth at the end of its useful life) from its cost to calculate depreciation using the straight-line technique. The depreciable basis, or the amount that can be depreciated, is the result. Divide this figure by the number of years the asset will be useful.

Depreciation is the rate at which an object's value declines over time.

it is given by the formula,

A = P [tex](1-r)^t[/tex]

where A is the value of object after x period of time, P is the principal amount, r is the rate of depreciation, and t is the for the time period.

Given:

Terrence buys a new car for $20,000,

rate of depreciation = 15%,

We know the formula of the rate of depreciation,

A = P [tex](1-r)^t[/tex]

Here A= $20, 000

r = 15% = 0.15

So, the value of Terrence's car is A = 20,000 ( [tex]1-0.15)^x[/tex].

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Answer:

65 meters off the ground.

Step-by-step explanation:

The height of the monument is 9.80 m

To find the height of the monument, we can use the Pythagorean theorem. The rectangle on the pedestal forms a right triangle with the longest side of the monument being the hypotenuse. Let's call the height of the monument 'h'. Using the Pythagorean theorem, we have:

[tex]h^2 = (11^2) - (5^2)[/tex]

[tex]h^2 = 121 - 25[/tex]

[tex]h^2 = 96[/tex]

[tex]h = \sqrt{96[/tex]

h ≈ 9.80 meters

Answer:

the answer is 189

Answer:

Option E - Box plot E

Step-by-step explanation:

Given : Data,

67, 66, 64, 62, 60, 56, 54, 50, 46, 42, 41, 40, 40, 38, 35, 21, 19

To find : Which choice below is a boxplot for the following distribution?

Solution :

Step 1- Arranging the data from lowest to highest,

{19,21,35,38,40,40,41,42,46,50,54,56,60,62,64,66,67}  

Step 2 - Find the median of the data  

As the data is odd numbers so the median is [tex]\frac{n+1}{2}[/tex] th term.

[tex]\frac{n+1}{2}=\frac{17+1}{2}=9th[/tex] term.

9th term is 46

∴ [tex]Q_2=46[/tex]  

Step 3 - To find Upper quartile and lower quartile  

Lower quartile data set is the median of the upper terms from median

{19,21,35,38,40,40,41,42}

Median of the set is [tex]M=\frac{38+40}{2}=39[/tex]

∴ [tex]Q_1=39[/tex]  

Upper quartile data set is the median of the lower terms from median

{ 50,54,56,60,62,64,66,67}

Median of the set is [tex]M=\frac{60+62}{2}=61[/tex]

∴ [tex]Q_3=61[/tex]  

We have plot the box plot attached below.

Our box plot is matched with Box plot E.

Therefore, Option E is correct.

Answer: Box plot E

Step-by-step explanation:

A P E X

The exact surface area of the cylinder with a radius of 30 ft and height of 19 ft is calculated using the formula 2πr(h + r), resulting in an area of 2940π ft², which matches option D.

To find the exact surface area of a cylinder, we use the formula that states the surface area (SA) is SA = 2πr(h + r), where r is the radius and h is the height of the cylinder. Given that the radius (r) is 30 ft and the height (h) is 19 ft, we plug these values into the formula:

SA = 2π(30)(19 + 30)

SA = 2π30(49)

SA = 60π(49)

SA = 2940π ft²

Therefore, the exact surface area of the cylinder is 2940π square feet, which corresponds to option D.

1,289,845 rounded to the nearest ten thousand is 1,290,000.

To round 1,289,845 to the nearest ten thousand, we need to look at the digit in the ten thousandth place, which is the 8 in this case. If the digit is 5 or greater, we round up, and if it is less than 5, we round down. Since the 8 is greater than 5, we round up. To do this, we keep the digit in the ten thousandth place as it is and change all the digits to the right of it to zeros. Therefore, 1,289,845 rounded to the nearest ten thousand is 1,290,000.

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