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victus00 [196]
3 years ago
9

Marco located the falllow points on a number line which point is not corrtly placed on the number line

Mathematics
1 answer:
mario62 [17]3 years ago
7 0

Question:

Marco plotted the following points on the number line.

Point A: 0.3 Point B:  3/4 Point C: 11/4 Point D: 0.7

Which point did he plot incorrectly?

Answer:

Point D

Step-by-step explanation:

Given

Point\ A= 0.3

Point\ B= \frac{3}{4}

Point\ C= \frac{11}{4}

Point\ D= 0.7

Required

The incorrectly plotted point

Number plotted on a number line increases from left to right. This implies that:

A < B < C < D

Substitute the values for the given points

0.3 < \frac{3}{4} < \frac{11}{4} < 0.7

Express as fractions

0.3 < 0.75 < 2.75 < 0.7

Up till 2.75, the order of the numbers is correct.

However, 0.7 is less than 0.75 and 2.75

So, 0.7 is not placed correctly.

<em>This implies that point D is not correctly placed</em>

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Answer:

There will be $5624.32 in the account after 3 years if the interest is compounded annually.

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There will be $5636.359 in the account after 3 years if the interest is compounded monthly

Step-by-step explanation:

Tamira invests $5,000 in an account

Rate of interest = 4%

Time = 3 years

Case 1:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 1

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There will be $5624.32 in the account after 3 years if the interest is compounded annually.

Case 2:

Principal = 5000

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Time = 3 years

No. of compounds per year = 2

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A=5000(1+\frac{0.04}{2})^{2 \times 3}

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There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.

Case 3:

Principal = 5000

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Time = 3 years

No. of compounds per year = 4

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There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.

Case 4:

Principal = 5000

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No. of compounds per year = 4

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A=5000(1+\frac{0.04}{12})^{12 \times 3}

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There will be $5636.359 in the account after 3 years if the interest is compounded monthly

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Answer:

<u></u>

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The diagram attached sketches the situtation.

Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.

Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:

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