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3 years ago

Enter an algebraic expression to model the given context. Give your answer in simplest form.

1 answer:

4 0

8% sales tax is 8% of the sales price = 8% of 's'
8% of 's' = 0.08 × s = 0.08s

The total price = s + 0.08s ⇒ this is the expression

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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.

Wittaler [7]

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

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.

8 0

3 years ago

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The average smoker typically pays 15% higher life insurance costs than the average non-smoker. If the monthly cost to a non-smok

Licemer1 [7]

C the is the correct answer

5 0

3 years ago

Find the x value for point C such that AC and BC form a 2:3 ratio.

Veronika [31]

The answer is B.-0.6

6 0

4 years ago

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What is the volume of the oblique cube

serious [3.7K]

Answer:

$\large\boxed{V=\dfrac{1600\pi}{3}\ cm^3}$

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 10cm and H = 16cm. Substitute:

$V=\dfrac{1}{3}\pi(10^2)(16)=\dfrac{1}{3}\pi(100)(16)=\dfrac{1600\pi}{3}\ cm^3$

6 0

3 years ago

Kerrie uses the work shown below to determine 35% of 280.

lys-0071 [83]

For this case we must find 35% of 280.

Kerrie gets 10% and then 25%. So:

10% of 280:

280 ------------> 100%

x -----------------> 10%

Where "x" represents the amount given by 10% of 280.

$x = \frac {10 * 280} {100}\\x = 28$

Thus, 10% of 280 is 28.

Now, we find 25% of 280:

280 ------------> 100%

x -----------------> 25%

Where "x" represents the amount given by 25% of 280.

$x = \frac {25 * 280} {100}\\x = 70$

Thus, 25% of 280 is 70.

So we have that 35% of 280 is given by:

$28 + 70 = 98$

So, Kerrie's solution is correct.

Answer:

Option A

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3 years ago

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