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svet-max [94.6K]
3 years ago
6

A couple took out a $5,000 loan from the bank. The loan had a simple interest rate of 7.5% per year. By the end of the loan, the

couple had paid $2,250
interest.
What was the length of the couple's loan?
Mathematics
2 answers:
Sholpan [36]3 years ago
8 0

Answer:

6 years

Step-by-step explanation:

t=2250/375

t=6

Hence time of the loan will be 6 years

galben [10]3 years ago
4 0

Answer:

6 years

Step-by-step explanation:

5000 x 0.075 = 375

2250/375 = 6

therfore it is 6 years worth of interest

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Read 2 more answers
One day, thirteen babies are born at a hospital. assuming each baby has an equal chance of being a boy or girl, what is the prob
Nadya [2.5K]

Using the binomial distribution, there is a 0.9983 = 99.83% probability that at most eleven of the thirteen babies are girls.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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.
  • p is the probability of a success on a single trial.

For this problem, the values of the parameters are:

p = 0.5, n = 13

The probability that at most eleven of the thirteen babies are girls is:

P(X \leq 11) = 1 - P(X > 11)

In which

P(X > 11) = P(X = 12) + P(X = 13)

Then:

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

P(X = 12) = C_{13,12}.(0.5)^{12}.(0.5)^{1} = 0.0016

P(X = 13) = C_{13,13}.(0.5)^{13}.(0.5)^{0} = 0.0001

So:

P(X > 11) = P(X = 12) + P(X = 13) = 0.0016 + 0.0001 = 0.0017

P(X \leq 11) = 1 - P(X > 11) = 1 - 0.0017 = 0.9983

0.9983 = 99.83% probability that at most eleven of the thirteen babies are girls.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

8 0
2 years ago
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