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3 years ago

11

Sam opened a money-market account that pays 3% simple interest. He started the account with $7,000 and made no further deposits.

When he closed the account, he had earned $1,050 in interest. How long did he keep his account open?

1 answer:

Verizon [17]3 years ago

6 0

He hold account for 5 years or 5 months. Depending on 3% per year or 3% per month

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Every day, Luann walks to the bus stop and the amount of time she will have to wait for the bus is between 0 and 12 minutes, wit

Nana76 [90]

Answer:

a. 341.902.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n instances of a normal variable:

For n instances of a normal variable, the mean is $n\mu$ and the standard deviation is $s = \sigma\sqrt{n}$

60 days, for each day, mean 6, variance of 12.

So

$\mu = 60*6 = 360$

$s = \sqrt{12}\sqrt{60} = 26.8328$

What is the 25th percentile of her total wait time over the course of 60 days?

X when Z has a p-value of 0.25, so X when Z = -0.675.

$Z = \frac{X - \mu}{s}$

$-0.675 = \frac{X - 360}{26.8328}$

$X - 360 = -0.675*26.8328$

$X = 341.902$

Thus, the correct answer is given by option A.

3 0

2 years ago

If a = 0.6 repeating and b = 0.75, then a x b = blank and a/b = blank

atroni [7]

Answer:

a*b = 1/2

a/ b = 8/9

Step-by-step explanation:

a = 0.66666 and b = 0.75

To multiply it we write the decimal numbers in fraction form

a= 0.666666...

Multiply by 10 on both sides

10 a = 6.66666...

a = 0.66666...

Subtract the second equation

9a = 6

divide by 9 on both sides

$a=\frac{6}{9}=\frac{2}{3}$

so 0.6666 = 2/3

Now we convert 0.75 into fraction form

$0.75=\frac{0.75}{1}$

Multiply top and bottom by 100 to remove decimal

$\frac{75}{100} = \frac{3}{4}$

so 0.75 is 3/4

a= 2/3 and b = 3/4

$a*b = \frac{2}{3} * \frac{3}{4} = \frac{6}{12} = \frac{1}{2}$

$\frac{a}{b} = \frac{\frac{2}{3}}{\frac{3}{4}} = \frac{2}{3} * \frac{4}{3} =\frac{8}{9}$

8 0

3 years ago

Write an equation of the circle with center (2,-3) and radius 8.

Paul [167]

Answer:

(x-2)^2+ (y+3)^2 = 64

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2+ (y-k)^2 = r^2

Where (h,k) is the center and r is the radius

(x-2)^2+ (y- -3)^2 = 8^2

(x-2)^2+ (y+3)^2 = 8^2

(x-2)^2+ (y+3)^2 = 64

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2 years ago

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Select the two statements that are true about the equation y - 5= 12(x – 4).

AnnZ [28]

Answer:

fssrtddfxxsrtdtdyukvvvdsthcg nnjnhdddyuj

6 0

3 years ago

Find the y-intercept and x-intercept of the line.

Ad libitum [116K]

Y-intercept: (0, -6)

X-intercept: (9, 0)

3 0

2 years ago

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