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3 years ago

10

Lucy invested $19,000 in an account paying an interest rate of 3% compounded annually. Assuming no deposits or withdrawals are m

ade, how much money, to the nearest hundred dollars, would be in the account after 8 years?

1 answer:

Paraphin [41]3 years ago

5 0

23560
3% of 19k is 570
570*8=4560
4560+19000=23560
(I hope this is right)

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Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court

Ksju [112]

Answer:

$(a)\dfrac{92}{117}$

$(b)\dfrac{8}{39}$

$(c)\dfrac{25}{117}$

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

$P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}$

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed) $=P(MW)+P(WM)$

$=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}$

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.
Two women are appointed

P(at least one woman is appointed) $=P(MW)+P(WM)+P(WW)$

$P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}$

In Part B, $P(MW)+P(WM)=\frac{8}{39}$

Therefore:

$P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}$

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3 years ago

What values of x makes the expression (x-6)(x+3) positive?

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Answer:

This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6

Step-by-step explanation:

Step 1

Given the equation;

(x-6)(x+3)

Step 2

To determine the values of x that make the equation positive, the equation can be expressed as;

(x-6)(x+3)>0

x-6>0/(x+3)

x-6>0

x>0+6

x>6

This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6

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3 years ago

Which of these functions has a y-intercept of (0, 7)? Select all that apply

Anton [14]

Answer:

(0,7)

Step-by-step explanation:

there is no problem work shown.

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The answer to your question is 7.375

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Determine the line described by the given point and slope (0,0) and 2/3

AlekseyPX

Answer:

The line is $y=\frac{2}{3} x$ .

Step-by-step explanation:

Given:

Point and slope (0,0) and 2/3.

Now, to determine the line.

Here the point is:

$(x_{1},y_{1}) =(0,0)$

And the slope is:

$m=\frac{2}{3}$

Now, putting the formula and substituting the value from above to determine the line:

$y-y_{1} = m(x-x_{1})$

$y-0=\frac{2}{3}(x-0)$

$y=\frac{2}{3} x$

Therefore, the line is $y=\frac{2}{3} x$ .

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3 years ago