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2 years ago

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Alan invests some of his retirement savings in a fund earning 4% simple interest and invests twice as much in a fund earning 6%

simple interest. If he earns $304 combined interest on the accounts, how much does he have in the 4% account?

1 answer:

Natalija [7]2 years ago

6 0

Answer:

ok

Step-by-step explanation:

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Last year, a construction worker had a gross income of 29,700 of which he contributed 7% to his 401 (k) plan. If he got paid mon

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0.07(29700)/12 = 173.25

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Triangle ABC has the following coordinates: A(4 , 5), B(5 , 3), and C(2 , 3). Part A: If triangle ABC is dilated by a scale fact

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The new coordinates of A'B'C' creates a triangle that is larger than ABC.

<h3>Transformation</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, reflection, rotation and dilation.</em>

If a point A(x, y) is dilated by a scale factor k, the new point is at A'(kx, ky).

Given that:

Triangle ABC has the following coordinates: A(4 , 5), B(5 , 3), and C(2 , 3)

If it is dilated by a scale factor of 3, the new point is at:

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Find out more on dilation at: brainly.com/question/10253650

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2 years ago

Find the mean, the median, and all modes for the data in the given frequency distribution. (Round your answers to one decimal pl

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Answer: Mean = 7.8

Median = 9

Mode = 2,9

Step-by-step explanation: <u>Mean</u> is the average value of a data set. Mean from a frequency table is calculated as:

$E(X)=\frac{2(10)+3(9)+9(10)+11(7)+12(3)+15(4)+16(3)}{10+9+10+7+3+4+3}$

E(X) = 7.8

Mean for the given frequency distribtuion is 7.8.

<u>Median</u> is the central term of a set of numbers. Median in a frequency table is calculated as:

1) Find total number, n:

n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46

2) Find position, using: $\frac{n+1}{2}$

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Median is in the 23.5th position.

3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9

Median for this frequency distribution is 9.

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In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.

Mode for this distribution is 2 and 9.

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