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son4ous [18]
3 years ago
15

Light yogurt sales in the United States have been declining eight percent per year since 2016 due to younger consumers choosing

to switch to Greek yogurt. In 2016, distributors had $1.2 billion in light yogurt sales. Which equation could be used to represent light yogurt sales (in billions of dollars) in the U.S. 't' years after 2016? *
a. y= 1.2(0.92)^t

b. y= 1.2 (8)^t

c y= 1.2(0.08)^t

d. y=1.2(1.08)^t
Mathematics
1 answer:
qaws [65]3 years ago
5 0
Answer is a:y=1.2(0.92)^t
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Vesnalui [34]

Step-by-step explanation:

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Write in terms of sine and cosine.

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1 / [cos x + (sin²x / cos x)]

Multiply top and bottom by cos x.

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3 0
3 years ago
Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha
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Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

a = 20 --- tree distance from north gate

b =14 --- movement from south gate

c = 1775 --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

\triangle ADE \sim \triangle ACB --- similar triangles

So, we have the following equivalent ratios

AE:DE = AB:CB

Where:

AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775

Substitute these in the above equation

20:x/2 = 20 + x + 14: 1775

20:x/2 = x + 34: 1775

Express as fraction

\frac{20}{x/2} = \frac{x + 34}{1775}

\frac{40}{x} = \frac{x + 34}{1775}

Cross multiply

x *(x + 34) = 1775 * 40

Open bracket

x^2 + 34x = 71000

Rewrite as:

x^2 + 34x - 71000 = 0

Expand

x^2 + 284x -250x - 71000 = 0

Factorize

x(x + 284) -250(x + 284)= 0

Factor out x + 284

(x - 250)(x + 284)= 0

Split

x - 250 = 0 \ or\ x + 284= 0

Solve for x

x = 250 \ or\ x =- 284

x can't be negative;

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x = 250

6 0
3 years ago
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Murrr4er [49]

Answer:

they would eat 3500 pounds of food in 1 week

Step-by-step explanation:

its simple math just multiply 500 by 7 and you would get 3500

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2 years ago
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4vir4ik [10]

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Step-by-step explanation:

7 0
3 years ago
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