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Svetach [21]
4 years ago
5

The volume of a rectangular box is 330 cubic inches. The length on one side of the top is 11 inches, and the height of the box i

s 3 inches. What is the area of the top of the box.
Mathematics
1 answer:
Fiesta28 [93]4 years ago
5 0

Answer: 110 square inches.

Step-by-step explanation:

The volume of a rectangular box would be:

V=length*width*height

In this case, we know the volume, the length and the height, and we don't know the width, so we're going to isolate it:

width=\frac{V}{length*height}

Substituting the data:

width=\frac{330}{11*3} =10in

This width is also the width of the top of the box, so the area of the top would be:

A=length*width\\A=11*10\\A=110in^{2}

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14. The property tax on a medical center is 1 mill or no of a cent ($0.001)
mezya [45]

Answer:

a) $235.65

b) $57,499.58

Step-by-step explanation:

Tax rate is 1 mill or $0.001 on every $1 of appraised value. This means the tax rate is:

Tax rate = $0.001 per $1 = \frac{0.001}{1} \times 100\%=0.1\%

Part a)

Appraised value of medical center = $ 235,654

Tax rate = 0.1%

Tax Amount due = 0.1% of $ 235,65 = \frac{0.1}{100} \times 235,654= \$ 235.654

Thus, the tax due for 1 mill is $235.65 rounded to nearest cent.

Part b)

New Tax rate = 244 mills = \$ \frac{244}{1000} =$0.244

Tax rate is 1 mill or $0.001 on every $1 of appraised value. This means the tax rate is:

Tax rate = $0.244 per $1 = \frac{0.244}{1} \times 100\%=24.4\%

Tax Amount due = 24.4% of $ 235,65 = \frac{24.4}{100} \times 235,654= \$ 57499.576

Thus, the tax due for 244 mills is $57,499.58 rounded to nearest cent.

5 0
4 years ago
Help!! For this question I got 254.34 as my final answer but when I checked my answer it told me I was wrong?
Ugo [173]

Answer:

a = 254.5 mm² ( if using accurate value of π)

a = 254.4 mm² (if using 3.14 as approximate value of π)

Step-by-step explanation:

a = πr²

a = π * 9²

a = π * 81

(note using π = 3.1415926536)

a = 254.4690049408

Rounded

a = 254.5 mm²

(a = 254.4 If using π = 3.14)

5 0
3 years ago
Factorise (3a - b)(a + b) - (3a - b)²
vredina [299]

Answer:

−6a^2+8ab−2b^2

Hope this helps

Pls give brainliest

Have a nice day :D

5 0
3 years ago
Read 2 more answers
Pls help I've gotten every question wrong
Jlenok [28]
4 pack: 13/4=3.25
5 pack: 16/5=3.2
8 pack: 28/8= 3.5

the 5 pack is the cheapest per bulb so it has the best value
3 0
3 years ago
Finally, he believes that the correlation between imports and exports will be -0.63. Define the trade balance as exports minus i
Evgen [1.6K]

Question;

In the next year, an economist in a particular nation believes that exports will have a mean of 295 and a standard deviation of 12 (in millions of dollars). In addition, he believes that imports will have a mean of 70 and a standard deviation of 14 (in millions of dollars). Finally, he believes that the correlation between imports and exports will be -0.63. Define the trade balance as exports minus imports. Find the mean and the standard deviation of the trade balance (in millions of dollars) ROUND YOUR ANSWERS TO TWO DECIMAL PLACES

Answer:

Mean = mean exports - mean imports = 295 - 70 = 225.00

Standard deviation = 12 - 14 = -2( in million dollars)

6 0
4 years ago
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