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gregori [183]
3 years ago
10

game room has a floor that is 225 feet by 20 feet. A scale drawing of the floor on grid paper uses a scale of 2 units:5 feet. Wh

at are the dimensions of the scale drawing? Enter your answer as length by width. The scale drawing is units by unit
Mathematics
1 answer:
Allushta [10]3 years ago
8 0

Answer:

90 unit by 8 unit

Step-by-step explanation:

divide 225 by 5, which equals 45, then multiply by 2, which equals 9

divide 20 by 5, which equals 4, then multiply by 2, which equals 8

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The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,
Stella [2.4K]

Answer:

P_4 = 7604.08

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

P_1 = P_0 + 0.04P_0

Where P_0 is the initial population and P_n is the population in year n

In year 2

P_2 = P_1 + 0.04P_1

It can also be written as:

P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)

Taking out common factor P_0

P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)

Taking out common factor (1 + 0.04)

P_2 = (1 + 0.04) (P_0 + 0.04P_0)

Taking out again common factor P_0

P_2 = (1 + 0.04) (1 + 0.04) P_0

Simplifying

P_2 = P_0 (1 + 0.04) ^ 2


So

P_n = P_0 (1 + 0.04) ^ n

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08

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3 years ago
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Answer: huh ?

Step-by-step explanation:

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3 years ago
Consuelo deposited an amount of money in a saving account tha earned 6.3% simple interest. After 20 years, she earned $5,922 in
julia-pushkina [17]

Answer:

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

Step-by-step explanation:

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3 years ago
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Vesnalui [34]
The answer is d

Domain is just all x values
5 0
3 years ago
Z^2 + 11z+ 28 find the factor of polynomial
Firdavs [7]

Answer:

(z+7)*(z+4)

Step-by-step explanation:

The first term is,  z2  its coefficient is  1 .

The middle term is,  +11z  its coefficient is  11 .

The last term, "the constant", is  +28

Step-1 : Multiply the coefficient of the first term by the constant   1 • 28 = 28

Step-2 : Find two factors of  28  whose sum equals the coefficient of the middle term, which is   11 .

     -28    +    -1    =    -29

     -14    +    -2    =    -16

     -7    +    -4    =    -11

     -4    +    -7    =    -11

     -2    +    -14    =    -16

     -1    +    -28    =    -29

     1    +    28    =    29

     2    +    14    =    16

     4    +    7    =    11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  4  and  7

                    z2 + 4z + 7z + 28

Step-4 : Add up the first 2 terms, pulling out like factors :

                   z • (z+4)

             Add up the last 2 terms, pulling out common factors :

                   7 • (z+4)

Step-5 : Add up the four terms of step 4 :

                   (z+7)  •  (z+4)

            Which is the desired factorization

4 0
2 years ago
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