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Butoxors [25]
2 years ago
13

A bank representative studies compound interest so she can better serve customers. She analyzes what happens when 2,000 earns se

veral ways at a rate of 4% for 3 years
Mathematics
1 answer:
Law Incorporation [45]2 years ago
3 0

Answer:

Final amount = 25,407.4

Step-by-step explanation:

A = P ( 1 + \frac{r}{t} )n^{}

A = final amount

P = initial principal balance

r = interest rate

t = number of times interest applied per time period

Here P = 2000

r = 4 %

n = 3 years

A = 2000( 1 + \frac{4}{3} )³

    = 2000( \frac{7}{3} )³

   = 2000 × \frac{343}{27}

   = 25,407 .4

Final amount = 25,407.4

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If your good in math please help me
Feliz [49]

Answer:

350.82

Step-by-step explanation:

To find the surface area, you must add up all of the areas of each shape of the prism in order to get the sum surface area.

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6 0
3 years ago
Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.58​, what is the
aliina [53]

Answer:

0.36% probability that fewer than half in your sample will watch news​ videos

Step-by-step explanation:

To solve this question, i am going to use the binomial approximation to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 250, p = 0.58

So

\mu = E(X) = 250*0.58 = 145

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.58*0.42} = 7.80

If the population proportion of adults who watch news videos is 0.58​, what is the probability that fewer than half in your sample will watch news​ videos

Half: 0.5*250 = 125

Less than half is 124 or less

So this is the pvalue of Z when X = 124

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

Z = \frac{124 - 145}{7.8}

Z = -2.69

Z = -2.69 has a pvalue of 0.0036

0.36% probability that fewer than half in your sample will watch news​ videos

8 0
3 years ago
Read 2 more answers
Please answer this correctly without making mistakes
victus00 [196]

Answer:

Question 2

Step-by-step explanation:

2) The time when she woke up was -  3° C

During nature walk, temperature got 3° C warmer than when she woke up.

So, temperature during nature walk = - 3 + 3 = 0° C

3 0
2 years ago
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