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tia_tia [17]
3 years ago
9

Saul made some extra money last year from a part-time job. He invested part of the money at 2% with four times as much invested

at 3.25%. He made a total of $150.00 in interest. How much was invested at 3.25%?
Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer:

$4000

Step-by-step explanation:

Given that :

Total interest earned = $150

Let amount invested (p) at 2% = x

Amount invested (p) at 3.25% = 4x

Interest = principal * rate * time

At 2%:

(x * 0.02 * 1 ) + (4x * 0.0325 * 1) = 150

0.02x + 0.13x = 150

0.15x = 150

x = 150 / 0.15

x = 1000

Hence,

Amount invested at 2% = x = 1000

Amount invested at 3.25% = 4x = 4(1000) = 4000

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Write the rational number -1, in the form , where a and b are<br> integers.
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Answer:

2nd option

Step-by-step explanation:

- 5 = \frac{-5}{1} ← in the form \frac{a}{b}

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Suppose that a manager is interested in estimating the average amount of money customers spend in her store. After sampling 36 t
musickatia [10]

Answer:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

Step-by-step explanation:

Assuming this complete question: Which statement gives a valid interpretation of the interval?

The store manager is 90% confident that the average amount spent by the 36 sampled customers is between S38.01 and $44.29.

There is a 90% chance that the mean amount spent by all customers is between S38.01 and $44.29.

There is a 90% chance that a randomly selected customer will spend between S38.01 and $44.29.

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

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Answer:

120 ft. sq

Step-by-step explanation:

You use the equation length times width to find the area. 15 x 8 = 120. This equation works for any rectangle

3 0
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Alexxandr [17]

Answer:

see explanation

Step-by-step explanation:

The y- intercept is at (0, 6) ⇒ c = 6

The x- coordinate of the vertex is at the midpoint of the zeros, that is

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Hence

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Answer:

640

Step-by-step explanation:

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