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vova2212 [387]
3 years ago
9

The management of the unico department store has decided to enclose an 833 ft2 area outside the building for displaying potted p

lants and flowers. one side will be formed by the external wall of the store, two sides will be constructed of pine boards, and the fourth side will be made of galvanized steel fencing. if the pine board fencing costs $6/running foot and the steel fencing costs $2/running foot, determine the dimensions of the enclosure that can be erected at minimum cost. (round your answers to one decimal place.)
Mathematics
1 answer:
joja [24]3 years ago
6 0
The dimensions would be 28.9 for the steel length and 28.8 for the pine boards, for a total cost of $403.40.

To maximize area and minimize perimeter, you want a figure that is as close to equilateral as you can get.  Therefore we take the square root of our area:

√833 = 28.9.

Dividing 833/28.9 we get 28.8.

We want to use the shorter side, 28.8, for the pine boards, as they cost more.  28.8*2*6 = 345.60.

The cost of the steel side is given by 28.9*2 = 57.80.

Together it costs 345.60+57.80 = 403.40.
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Given the sequence 7, 12, 17, 22, ...
abruzzese [7]

Answer:

option D is true.

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, ...

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

Computing the differences of all the adjacent terms

12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5

The difference between all the adjacent terms is the same

so

d=5

as

a_1=7

Thus, the nth term of the arithmetic sequence will be:

a_n=5\left(n-1\right)+7

a_n=5n+2

Therefore, option D is true.

7 0
3 years ago
You borrow $3,000 from the bank to buy your first car. The interest rate is 5%. How much money will you owe the bank at the end
melamori03 [73]

Answer: 3000 multiplied by 0.05

and u get  you get the 0.05 by dividing 5 by 100.

Step-by-step explanation:

8 0
3 years ago
Charlie Carr has a sheet of brass that is 33 inches wide and cuts two pieces that are each 8
denis-greek [22]

Answer: The width of the leftover brass is 17 inches.

Step-by-step explanation:

Hi, to answer this question, first, we have to add the width of the pieces cut.  

Mathematically speaking:

8 in +8 in = 16 in

Now, we have to subtract that result to the width of the sheet of brass.

33 in -16 in = 17 in

The width of the leftover brass is 17 inches.

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
Last Year, a state university received 3,560 applications from boys. Of those applications, 35 Percent were from boys who lived
Rom4ik [11]

Answer:

a)10%=3560/100=356

5%=356/2=178

30%=356X3=1068

35%=1068+178=1246

b)10% of 40%=3560/4=890

100%890x10=8900(answer)

hope this helps


5 0
3 years ago
Azul spun a tri-color spinner twice. What is the probability that the spinner landed on the colors blue and green in any order?
guapka [62]

Answer:

The Probability that the spinner landed on the colors blue and green in any order = 2/9

Step-by-step explanation:

Given - Azul spun a tri-color spinner twice.

To find - What is the probability that the spinner landed on the colors blue and green in any order?

Solution -

Given that,

A tri-color spinner spun twice

So,

The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}

⇒n(S) = 9

Now,

Let A be an event that the spinner landed on the colors blue and green

So,

A = {BG, GB}

⇒n(A) = 2

Now,

Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)

         = 2 ÷ 9

∴ we get

The Probability that the spinner landed on the colors blue and green in any order = 2/9

8 0
3 years ago
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