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2 years ago

Poppy bought a new bed for $142. The tax is 7%. How much did she spend in taxes only?

Mathematics

2 answers:

Leni [432]2 years ago

5 0

Answer:

9.94

Step-by-step explanation:

Convert 7% into decimal form, 0.07 because it is 7% of 100. Then multiply 0.07 with 142 to find 7% of 142.

RUDIKE [14]2 years ago

5 0

Answer:

$9.94

Step-by-step explanation:

The net price is $142 and the sales tax (7%) is $9.94. The total price would be $151.94.

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Vera is an ecologist who studies the change in the bear population of Siberia over time. The relationship between the elapsed ti

rewona [7]

Answer:

Every year, the bear population shrinks by a factor of 2/3 .

Explanation:

The concrete question and the function or data were omitted.

I found the complete question on the internet. Please, find attached the picture with the complete question

You must complete the sentence about the yearly rate of change of the bear population, telling whether it grows or shrinks and by what factor.

Thus, the goal is to interpret the rate of change in an exponential model.

The exponential model is:

$N(t)=2187\cdot \bigg(\dfrac{2}{3}\bigg)^t$

Let's analyze that function.

When t = 0, (2/3)⁰ = 1 and N(0) = 2,187 × 1 = 2,187

Thus, the population of bears starts with 2,187 individuals.

For t = 1, the population will be N(1) = 2,187 × (2/3).

For t = 2, the population will be N(2) = 2,187 × (2/3)²

And so on, every year the population of bears is multiplied by a factor of 2/3.

Since, 2/3 is less than 1, every year the population will be decreasing (decaying), by a factor of 2/3.

Thus, the answer, i.e. the complete sentence, is:

Every year, the bear population shrinks by a factor of 2/3 .

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3 years ago

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the grade 6 class harvested 3 1/4 kg tomatoes, 5 3/4 kg of eggplant and 2 1/2 kg of green pepper from their "gulsyan sa paaralan

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3 1/4 + 5 3/4 + 2 1/2 = x
Convert 2 1/2 to a fraction over 4

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3 years ago

Which is the graph of y ≤ 1 – 3x?

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It’s the first one because when you have a line under the inequality it’s always going to be a solid line and since it’s negative it’s shaded below.

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The crew worked 2 1/5 days. If they built 3 3/4 kilometers of road each day, what is the length of the road

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The answer to the question is: The road is 8 1/4

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3 years ago

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alekssr [168]

The similarity ratio of ΔABC to ΔDEF = 2 : 1.

Solution:

The image attached below.

Given ΔABC to ΔDEF are similar.

To find the ratio of similarity triangle ABC and triangle DEF.

In ΔABC: AC = 4 and CB = 5

In ΔDEF: DF = 2, EF = ?

Let us first find the length of EF.

We know that, If two triangles are similar, then the corresponding sides are proportional.

⇒ $\frac{AC}{DF} =\frac{BC}{EF}$

⇒ $\frac{4}{2} =\frac{5}{EF}$

⇒ $4EF=5\times2$

⇒ $EF=\frac{5\times 2}{4}$

⇒ $EF=\frac{5}{2}$

Ratio of ΔABC to ΔDEF = $\frac{AC}{DF} =\frac{4}{2}=\frac{2}{1}$

Similarly, ratio of ΔABC to ΔDEF = $\frac{BC}{EF} =\frac{5}{\frac{5}{2}}=\frac{2}{1}$

Hence, the similarity ratio of ΔABC to ΔDEF = 2 : 1.

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2 years ago