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SSSSS [86.1K]
3 years ago
9

A cereal company is creating new boxes for its product. In order to display the boxes, the stores they sell to require that the

boxes
be 10.3 inches high and no longer than 8.2 inches.
The printing department requires exactly 228.12 square inches of space in order to use the planned design that covers the box. If
the company wishes to maximize the length of the box, then what should be the width of the box?
A.
0.8 inches
B.
10.3 inches
C.
1.6 inches
D.
8.2 inches
Mathematics
1 answer:
user100 [1]3 years ago
3 0

Answer:

C.  1.6 inches

Step-by-step explanation:

Width (W)

Surface area = 2wl + 2lh + 2hw

228.12 = 2 x (10.3 x W + 8.2 x W + 10.3 x 8.2)

228.12 = 2 x (18.5W + 84.46)

114.06 = 18.5W + 84.46

W = (114.06 - 84.46) / 18.5

W = 1.6 inches

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alexgriva [62]
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3 0
3 years ago
Please help with 11c!?
Contact [7]

Answer:

"To the nearest year, it would be about 9 years"

Step-by-step explanation:

11c)

This is compound growth problem. It goes by the formula:

F=P(1+r)^t

Where

F is the future amount

P is the present (initial) amount

r is the rate of growth, in decimal

t is the time in years

Given,

P = 20,000

r = 8% = 8/100 = 0.08

F = double of initial amount = 2 * 20,000 = 40,000

We need to find t:

F=P(1+r)^t\\40,000=20,000(1+0.08)^t\\2=(1.08)^t

To solve exponentials, we can take Natural Log (Ln) of both sides:

2=(1.08)^t\\Ln(2)=Ln((1.08)^t)

Using the rule shown below we can simplify and solve:

Ln(a^b)=bLn(a)

We can write:

Ln(2)=Ln((1.08)^t)\\Ln(2)=tLn(1.08)\\t=\frac{Ln(2)}{Ln(1.08)}\\t=9.0064

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5 0
3 years ago
The answer below thanks
Greeley [361]

Answer:

The equation of the circle having centre (-5,-9) and radius r=3  is

x² + 10 x +y² + 14 y + 65 = 0

Step-by-step explanation:

<u>Explanation</u>:-

From graph  The centre of the circle  C( -5 , -7)

The radius of the circle r = 3cm from the centre of the given circle

The equation of the circle



From graph the centre ( h, k) = ( -5,-7) and r = 3cm

                 (x-(-5))^2+(y-(-7))^2 = 3^2

                x² + 10 x +25 +y² + 14 y + 49 =9

              x² + 10 x +25 +y² + 14 y + 49 -9=0

 The equation of the circle

                x² + 10 x  +y² + 14 y + 65 = 0  

 



                     

8 0
3 years ago
I need help on this one
Stella [2.4K]

Answer:

With what? I don't see the question.....

4 0
3 years ago
Determine whether the polynomial is a difference of squares and if it is, factor it. y^2 – 196
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