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kramer
3 years ago
10

The Finest Hour department store wants to run a special ad this week in The Country Times. It wants to run a half-page ad on Fri

day, and a full-page ad on Saturday and Sunday. How much will it cost the Finest Hour for the ads?
Mathematics
1 answer:
sp2606 [1]3 years ago
3 0

Sorry this took awhile.

So for Friday, it would be $550

Saturday, $895

Sunday, 1,095

So the total is $2540 if you add the numbers up. Hope this helps!

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A rectangular tank that is 2048 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes
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Answer:

<em>16ft by 16ft by 8ft.</em>

Step-by-step explanation:

Let the total surface area of the rectangular tank be S = 2LW+2LH+2WH where;

L is the length of the box

W is the width of the box

H is the height of the box.

Since the box is openend at the top, S = lw + 2lh+ 2wh

If the base is a square base then, l = w

S = l(l) + 2wh+2wh

S = l²+4wh ............... 1

If volume = lwh

lwh = 2028 ft³

wh = 2048/l ................ 2

Substitute equation 2 into 1;

S = l²+4(2048/l)

S = l²+8192/l

dS/dl = 2l - 8192/l²

If dS/dl = 0 (since we are looking for dimensions of the tank with minimum weight.)

2l - 8192/l² = 0

2l = 8192/l²

2l³ = 8192

l³ = 8192/2

l³ = 4096

l =∛4096

l = 16 ft

Since the length is equal to the width, hence the width = 16ft (square based tank)

Given the volume V = lwh = 2048

lwh = 2048

16*16*h = 2048

256h = 2048

divide both sides by 256

256h/256 = 2048/256

h = 8ft

<em>Hence, the dimensions of the tank with minimum weight is 16ft by 16ft by 8ft.</em>

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3 years ago
Create a list of steps, in order, that will solve the following equation. 3(x+1)^2=108
lutik1710 [3]
I hope this helps :)

6 0
3 years ago
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zysi [14]

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2 years ago
Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh
svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e^{0.0205t}    (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 =  p = 130e^{0.0205(29)}

p = 130e^{0.5945}

p =130(1.81212465608)=235.57620529\approx236

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

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2.3077= e^{0.0205t} (Divide both sides by 130)

Taking Natural log on both sides,

\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}

t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41

Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

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A family of two adults and three children goes to a play admission costs eight dollars per adult and $5 per child. What expressi
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D = adult
c = child
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t = 8d + 5c

t = 8(2) + 5(3) = $31
5 0
4 years ago
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