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Ira Lisetskai [31]
2 years ago
6

$10,000 compounded every 2 years with a 10% interest rate. How much will this be worth in 10 years

Mathematics
1 answer:
Anon25 [30]2 years ago
8 0

$110,000

I got this answer from multiplying 10,000 by 10 then adding 10% of 10,000 (which is one thousand) 10 times, which got me an additional 10,000, and that's how I got my answer. Please comment on this answer and tell me if it is wrong, I really hope it isn't wrong. I also hope this helps you on your way, have a great day!

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The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard
dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 104, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2

What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

This is the pvalue of Z when X = 106.8. So

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

By the Central Limit Theorem

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

Z = \frac{106.8 - 104}{2}

Z = 1.4

Z = 1.4 has a pvalue of 0.9192

0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

8 0
3 years ago
Simplify. 6 to the power of 2+3 to the power of 2.<br><br><br> Thanks!
aleksandrvk [35]

Answer:

45

Step-by-step explanation:

6 to the power of 2 + 3 to the power of 2

6² + 3²

(6 × 6) + (3 × 3)

36 + 9

45

4 0
2 years ago
What is the highest form of chinese painting? ​
miskamm [114]

I think Landscape painting

Landscape painting was regarded as the highest form of Chinese painting, and generally still is. The time from the Five Dynasties period to the Northern Song period (907–1127) is known as the "Great age of Chinese landscape".

5 0
2 years ago
Read 2 more answers
728 increased by 30% ?
aliina [53]

Answer:

Number 728 increased by 30% (30 percent) of its value (percentage increase) and calculated absolute change (actual difference)

Increase the number 728 by 30% of its value

Step-by-step explanation:

6 0
3 years ago
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4 corners again<br> -9a + 3b - a + 7b - 13 + a - 10<br> Sorry for the questions pls help
eimsori [14]

Answer:−9a+10b−23

Step-by-step explanation:−9a+3b−a+7b−13+a−10

Combine −9a and −a to get −10a.

−10a+3b+7b−13+a−10

Combine 3b and 7b to get 10b.

−10a+10b−13+a−10

Combine −10a and a to get −9a.

−9a+10b−13−10

Subtract 10 from −13 to get −23.

−9a+10b−23

8 0
2 years ago
Read 2 more answers
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