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Ugo [173]
3 years ago
8

Sam Sounds received a $290 discount loan to purchase a stereo. The loan was offered at 16% for 90 days. Find the interest in dol

lars and the proceeds for the following problem.
Mathematics
2 answers:
garri49 [273]3 years ago
6 0
I = Adt; where p = $290 is the Amount of the loan, d = 16% = 0.16 is the discount rate and t = 90days = 90/365 = 18/73 is the period.

I = 290 x 0.16 x 18/73 = 11.44
Interest = $11.44

Proceed = Amount - Interest = 290 - 11.44 = $278.56
avanturin [10]3 years ago
3 0

Answer:

Interest = $11.414

Proceed = $278.586

Step-by-step explanation:

Given : Sam Sounds received a $290 discount loan to purchase a stereo. The loan was offered at 16% for 90 days.

To find : The interest in dollars and the proceeds for the following problem.

Solution :

The amount of loan A = $290

The discount rate = 16%=0.16

Time = 90 days

Convert into year,

1 year = 365 days

1 day = \frac{1}{365} year

90 days = \frac{90}{365}=0.246 year

The formula of interest is

Interest = Amount × Discount rate × Time

Interest = 290 × 0.16 × 0.246

Interest = $11.414

Proceed = Amount - Interest

Proceed = $290 - $11.414

Proceed = $278.586

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Step-by-step explanation:

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As reported in Trends in Television, the proportion of US households who have at least one VCR is 0.535. If 14 households are se
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Using the binomial distribution, it is found that there is a 0.5601 = 56.01% probability that the number having at least one VCR is no more than 8 but at least 6.00.

For each household, there are only two possible outcomes. Either it has at least one VCR, or it does not. The probability of a household having at least one VCR is independent of any other household, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
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In this problem:

  • 14 households, hence n = 14.
  • 0.535 probability of having at least one VCR, hence p = 0.535.

The probability of <u>at least 6 and no more than 8</u> is:

P(6 \leq X \leq 8) = P(X = 6) + P(X = 7) + P(X = 8)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{14,6}.(0.535)^{6}.(0.465)^{8} = 0.1539

P(X = 7) = C_{14,7}.(0.535)^{7}.(0.465)^{7} = 0.2024

P(X = 8) = C_{14,8}.(0.535)^{8}.(0.465)^{6} = 0.2038

Then:

P(6 \leq X \leq 8) = P(X = 6) + P(X = 7) + P(X = 8) = 0.1539 + 0.2024 + 0.2038 = 0.5601

0.5601 = 56.01% probability that the number having at least one VCR is no more than 8 but at least 6.00.

A similar problem is given at brainly.com/question/24863377

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2 years ago
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Answer:

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Step-by-step explanation:

Given the following :

Taking CITY STREET:

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Taking FREEWAY:

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Since distance is the same :

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In this case, through the assets, one will be able to know that they're wealthy. The debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. This is the money that they owe.

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