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2 years ago

Help please its my last one!

Mathematics

1 answer:

Elden [556K]2 years ago

5 0

Using compound interest, it is found that they must deposit $9,143.47 in order to have the desired amount.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

In which:

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

For this problem, the parameters are:

A(15) = 30000, r = 0.08, n = 4

Then we solve for P to find the initial deposit:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$30000 = P\left(1 + \frac{0.08}{4}\right)^{4 \times 15}$

$P = \frac{30000}{(1.02)^{60}}$

P = $9,143.47.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

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Answer: 5%

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3 years ago

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There is not sufficient evidence to support the claim.

Step-by-step explanation:

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<em>H₀</em>: The mean respiration rate of students is 32, i.e. <em>μ</em> = 32.

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3 years ago

Suppose that only 25% of all drivers come to a complete stop at an intersection having flashing red lights in all directions whe

Juliette [100K]

Answer:

$X \sim Binom(n=15, p=0.25)$

For this case we can use the probability mass function and we got:

$P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.25)$

For this case we can use the probability mass function and we got:

$P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165$

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3 years ago

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Answer:

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<h2>I hope this helps, and stay safe!! :)</h2>

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