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3 years ago

9

money is invested in a saving account at 12% simple interest.after one year there is $1680 in the account. how much was original

ly invested?

1 answer:

Alisiya [41]3 years ago

6 0

Answer:

it is eightyseven money

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How do you understand what happens on a fraction number line and how do you know where the fraction is. Tell me how we will be a

frozen [14]

9514 1404 393

Answer:

understand what the fraction means

Step-by-step explanation:

First of all, you need to <em>understand what 2/3 means</em>. It means 1 whole has been divided into 3 equal parts, and you're concerned with 2 of those parts.

In the number line in the first attachment, the space between 0 and 1 has been divided into 3 equal parts. The decimal value (rounded) is shown at each tick mark. The point marked "2/3" is located at the second of those divisions, counting from zero.

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The same fraction is located on the same number line in the second attachment. That number line is marked with divisions at intervals of 1/10, so there are 10 of them between 0 and 1. The value 2/3 is represented by the point that is (2/3)(10) = 6 2/3 of those intervals, so is between 0.6 and 0.7 on the number line.

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If the number line were divided into 12ths, then the fraction 2/3 would be located at the 8th tick mark, counting from 0. (2/3)(12) = 8 That is shown in the third attachment.

5 0

3 years ago

Babies born after 40 weeks gestation have a mean length of 52.2 centimeters (about 20.6 inches). Babies born one month early hav

Sveta_85 [38]

Answer:

a) $Z = -2.88$

b) $Z = -0.96$

c) 40 weeks gestation babies

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.

a. Find the standardized score (z-score), relative to all U.S. births, for a baby with a birth length of 45 cm.

Here, we use $\mu = 52.2, \sigma = 2.5$ . So

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

$Z = \frac{45 - 52.2}{2.5}$

$Z = -2.88$

b. Find the standardized score of a birth length of 45 cm. for babies born one month early, using 47.4 as the mean.

Here, we use $\mu = 47.4, \sigma = 2.5$ . So

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

$Z = \frac{45 - 47.4}{2.5}$

$Z = -0.96$

c. For which group is a birth length of 45 cm more common?

For each group, the probability is 1 subtracted by the pvalue of Z.

Z = -2.88 has a lower pvalue than Z = -0.96, so for Z = -2.88 the probability 1 - pvalue of Z will be greater. This means that for 40 weeks gestation babies a birth length of 45 cm is more common.

3 0

2 years ago

Calculate the angle of depression from the

Verizon [17]

Answer: $52.6^{\circ}$

Step-by-step explanation:

Let the angle of depression be x.

$\sin x=\frac{27}{34}\\\\x=\sin^{-1} \left(\frac{27}{34} \right) \approx 52.6^{\circ}$

7 0

2 years ago

Find the volume of rectangular box of length 4x, breath 6y power 2,height 2xy

Tanya [424]

Answer:

687

Step-by-step explanation:

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3 years ago

kiruha [24]

Answer:

39 tons

Step-by-step explanation:

35 + 4 = 39

6 0

3 years ago