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FrozenT [24]
3 years ago
11

Question #1: You are planning to install new carpet in the master bedroom and the master closet. The price of the carpet is $1.3

4 per square foot. Determine the price you’ll need to pay for the carpet.
The total area of the bedroom & closet:


The total cost of the carpet: $


Question #2: The kitchen and the dining room need new tile. The cost of the tile is $2.87 per square foot. Calculate the total cost of the tile. (Helpful hint: To find the area of a circle, you multiply x radius x radius. A semicircle is half of a circle)

( = 3.14)


Total area of the kitchen and dining room:


Total cost of the tile: $




Question #3: You are going to convert bedroom 2 into your new office. You would like to install hardwood floors. The cost of the hardwood is $3.05 per square foot. Calculate the total cost of the bedroom (not the closet).


Total area of the bedroom:


Total cost of the hardwood: $




Question #4: The floors in the family room and entry need to be professionally cleaned. The cleaning company you hired charges $0.52 per square foot. Calculate the total cost to clean the floors.


Total area of the family room and entry:


Total cost of the cleaning: $

Mathematics
1 answer:
poizon [28]3 years ago
3 0
Hence one by Oct July June USA act has
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During the national day celebrations.Asha decorates her balcony with serial lights of red,green and white colours.The red light
expeople1 [14]

If all three coloured lights blink together at 8:49 pm, they will blink together at 8:50 pm

<u>Solution:</u>

Given that the red light blinks at intervals of 4 seconds, the green at 5 seconds and the white at 6 seconds.

If all three colored lights blink together at 8:49 pm,

We have to find when will they blink together again?

First let us know, at what intervals they all together blink.

For that we have to find the lcm of 4, 5, 6.

L.C.M (4, 5, 6) = 2 x L.C.M(2, 5, 3)

As 2,3,5 are primes, we can’t take common further, so multiply all  

= 2 x 2 x 5 x 3

= 4 x 15  = 60

So, after every 60 seconds = 1 minute they will blink.

Then, after 8 : 49 pm, they will blink at 8 : 49 + 1 = 8 : 50 pm.

Hence, they all blink at 8 : 50 pm.

6 0
3 years ago
Griffin's Goat Farm, Inc., has sales of $671,000, costs of $333,000, depreciation expense of $77,000, interest expense of $48,50
Alchen [17]

Net income for the firm = $161,500

Step-by-step explanation:

Step 1 :

Total sales of the goat farm = $671,000

Cost incurred = $333,000

Depreciation expense = $77,000

Interest expense = $48,500

We need to compute the net income of the firm

Step 2 :

The profit before tax can be computed by subtracting all the expenses from the sale.

Total expenses of the firm = 333,000 + 77,000+ 48,500 = $458,500

Profit before tax = 671,000 - 458,500 = $212,500

Step 3 :

Percentage of tax for the firm = 24%

Amount of tax for the firm = 24% of 212500 = 51000

Net income = Total profit after tax = 212500 - 51000 = 161,500

Step 4 :

Answer :

Net income for the firm = $161,500

3 0
4 years ago
If 9100 dollars is invested at an interest rate of 8 percent per year, find the value of the investment at the end of 5 years fo
lubasha [3.4K]

Step-by-step explanation:

$9100x(1+8%)*5-9100

=$4270.885

=$4271 (cor. to the nearest integer)

The interest is $4271 while the amount is 13371

7 0
3 years ago
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 8 k
denpristay [2]

Answer:

The answer is 10kg

Step-by-step explanation:

First use the formula weight=mass*acceleration of free fall(g), to find the g first and use back the formula to find the mass off the object.

4 0
3 years ago
Find x,y,z : 4x^2+2y^2+2z^2-4xy-4xz+2yz-2y+6z+10=0
xenn [34]

<em>I hope this helps.</em>

<em>Answer:-</em>

<em>    ∴x−3y−4z=0</em>

<em />

<em>Explanation:</em>

<em />

<em>First we rearrange the equation of the surface into the form f(x,y,z)=0</em>

<em />

<em>    x2+2z2=y2</em>

<em>    ∴x2−y2+2z2=0</em>

<em />

<em>And so we have our function:</em>

<em />

<em>    f(x,y,z)=x2−y2+2z2</em>

<em />

<em>In order to find the normal at any particular point in vector space we use the Del, or gradient operator:</em>

<em />

<em>    ∇f(x,y,z)=∂f∂xˆi+∂f∂yˆj+∂f∂zˆk</em>

<em />

<em>remember when partially differentiating that we differentiate wrt the variable in question whilst treating the other variables as constant. And so:</em>

<em />

<em>    ∇f=(∂∂x(x2−y2+2z2))ˆi+</em>

<em>                     (∂∂y(x2−y2+2z2))ˆj+</em>

<em>                     (∂∂z(x2−y2+2z2))ˆk</em>

<em>       =2xˆi−2yˆj+4zˆk</em>

<em />

<em>So for the particular point (1,3,−2) the normal vector to the surface is given by:</em>

<em />

<em>    ∇f(1,3,−2)=2ˆi−6ˆj−8ˆk</em>

<em />

<em>So the tangent plane to the surface x2+2z2=y2 has this normal vector and it also passes though the point (1,3,−2). It will therefore have a vector equation of the form:</em>

<em />

<em>    →r⋅→n=→a⋅→n</em>

<em />

<em>Where →r=⎛⎜⎝xyz⎞⎟⎠; →n=⎛⎜⎝2−6−8⎞⎟⎠, is the normal vector and a is any point in the plane</em>

<em />

<em>Hence, the tangent plane equation is:</em>

<em />

<em>    ⎛⎜⎝xyz⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠=⎛⎜⎝13−2⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠</em>

<em>    ∴(x)(2)+(y)(−6)+(z)(−2)=(1)(2)+(3)(−6)+(−2)(−8)</em>

<em>    ∴2x−6y−8z=2−18+16</em>

<em>    ∴2x−6y−8z=0</em>

<em>    ∴x−3y−4z=0</em>

8 0
3 years ago
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