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4 years ago

You are planning to invest $500 at 12% compounded annually. How much money would you have after 10,20 and 30 years?

Mathematics

1 answer:

weqwewe [10]4 years ago

8 0

Problem

If you deposit $500 into an account paying 12% annual interest compounded yearly , how much money will be in the account after 10 years?

Result

The amount is $1552.92 and the interest is $1052.92.

Problem

If you deposit $500 into an account paying 12% annual interest compounded yearly , how much money will be in the account after 20 years?

Result

The amount is $4823.15 and the interest is $4323.15.

Problem

If you deposit $500 into an account paying 12% annual interest compounded yearly , how much money will be in the account after 30 years?

Result

The amount is $14979.96 and the interest is $14479.96.

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A basketball coach kept stats for his team in free throw percentage and steals (among others). At the last game, Erin's free thr

Setler79 [48]

Answer:

Due to the higher z-score, she did better in the free throw category.

Step-by-step explanation:

Z-score:

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.

In this question:

She did better in the category that she had the higher z-score:

Free-throws:

Her free throw percentage was 79%, which means that $X = 79$

The team averaged 87% from the free throw line with a standard deviation of 12, which means that $\mu = 87, \sigma = 12$ . So

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

$Z = \frac{79 - 87}{12}$

$Z = -0.67$

Steals:

She had 4 steals, which means that $X = 4$

Averaged 7 steals with a standard deviation of 3, which means that $\mu = 7, \sigma = 3$ . So

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

$Z = \frac{4 - 7}{3}$

$Z = -1$

Due to the higher z-score, she did better in the free throw category.

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3 years ago

On Monday,it took Helen 3 hours to do a page of science homework exercises.The next day she did the same number of exercises in

Blababa [14]

Answer:

It's 3/2p!

Step-by-step explanation:

Because Helen do the same number of exercises on 2 days, the time to do and the average rate are inversely proportional!

So, if on Monday, Helen's average rate is p then on the next day, her average rate is:

p × 3 ÷ 2 = $\frac{3p}{2}$

=3/2p

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3 years ago

Paul needs to buy 5/8 pound of peanuts. The scale at the store measures parts of a pound in sixteenths. Which measure is equival

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10/16 because you multiply 8x2 to get sixteen, the denominator you need. So whatever you do to the denominator, you do to the numerator. So 5x2 is 10. 10/16

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4 years ago

What is (5×2) ÷ 6×0

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(5x2) / 6x0
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