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3 years ago

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A store had 50 bottles of olive oil. Each week, 40% of the olive oil bottles were sold and 20 new bottles arrived in shipments.

Which recursive function best represents the number of bottles in the store, given that f(0) = 50?
f(n) = f(n − 1) ⋅ 0.6 + 20, n > 0

f(n) = 50 − f(n − 1) ⋅ 0.6 + 20, n > 0

f(n) = 50 − f(n − 1) ⋅ 0.4 + 20, n > 0

f(n) = f(n − 1) ⋅ 0.4 + 20, n > 0

2 answers:

Wittaler [7]3 years ago

8 0

Answer:

f(n) = f(n − 1) ⋅ 0.6 + 20, n > 0

Step-by-step explanation:

Each week 40% of the olive oil bottles were sold. This means, each week 60% of the bottles were left. In addition to these, 20 new bottles arrived in shipments.

So, every week the number of shipments was:

60% of the shipments of previous week + 20

In equation form this can written as:

Shipments in a week = 60% of shipments of previous week + 20

For, nth week we can re-write this equation as:

f(n) = 60% of f(n - 1) + 20

or

f(n) = f(n - 1) ⋅ 0.60 + 20

For example for first week, replace n by 1 to find the number of shipments in week 1 and same goes for next weeks.

Anton [14]3 years ago

7 0

Answer:

A

Step-by-step explanation:

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Answer:

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<u>Define the variable</u>

Let x be the actual age of Zeba (in years).

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To find Zeba's age now, <u>solve the equation for x</u>.

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Subtract 11 from both sides:

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To factor a quadratic in the form $ax^2+bx+c$ <em>, </em>find two numbers that multiply to $ac$ and sum to $b$ , then rewrite $b$ as the sum of these two numbers:

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Factor the first two terms and the last two terms separately:

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Factor out the common term (x - 14):

$\implies (x-1)(x-14)=0$

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Therefore, Zeba's age now is either 1 or 14 years.

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<u>Check</u>

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Learn more about quadratic equations here:

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1 year ago

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The coordinates of the image of line segment RT are R’(-2, -4) and T’(4, 4). The image was produced by a dilation with a scale f

lukranit [14]

Answer:

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3 years ago

What is the slope of the linear equation y=x+10

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Step-by-step explanation:

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2 years ago

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dlinn [17]

Answer:

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Step-by-step explanation:

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