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NeTakaya
3 years ago
5

On September 4, Nita Darmati signed a $5,350 promissory note to purchase furniture for her home office. The note had a simple in

terest rate of 8.5% for 120 days. What was the maturity value of the note? Round to the nearest cent. Assume ordinary interest.
Mathematics
1 answer:
snow_lady [41]3 years ago
3 0
The maturity value is the principal value together with interest due.
.. mv = P +Prt
.. = 5350*(1 +0.085*120/360) . . . . . . year is 360 days for "ordinary interest"
.. ≈ 5501.58

The maturity value is $5501.58.
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Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t
baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

5% of calculators coming out of the production lines have a defect.

This means that p = 0.05

Fifty calculators are randomly selected from the production line and tested for defects.

This means that n = 50

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

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

P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611

0.2611 = 26.11% probability that exactly 2 calculators are defective.

3 0
2 years ago
In the diagram, if KL=10, and MK=2, and JM=6 determine the value of MN. Show your work or explain how you arrived at your answer
kodGreya [7K]

Answer:

6

Step-by-step explanation:

JM is 6 riiite

and JMN should be an equilateral triangle so

4 0
3 years ago
Stacia bought an unlocked iPhone for $289. The tax was 8.5%. What was the total cost of the phone? How did you arrive at your an
Ivan
The answer is 313.56 because 289 + (8.5%=24.65)=313.56
7 0
3 years ago
Find the smallest integer value of X that satisfies the inequality of 6X>7
Nastasia [14]

Answer:

  x = 2

Step-by-step explanation:

The solution set can be found by dividing the inequality by the coefficient of x.

  6x > 7

  x > 7/6

The smallest integer greater than 7/6 is 12/6 = 2.

The smallest integer solution is x = 2.

5 0
2 years ago
when derek planted a tree it was 36 inches tall. the tree grew 1 1/4 inches per year the tree is now 44 3/4 inches tall. how man
mafiozo [28]
Derek would have planted the tree 7 years ago. You subtract 36 from 44.75 and get 8.75. This is how much the tree grew since he planted it. Then, you'll divide 8.75 by 1.25 (1 1/4) which tells you how many years it has been since he planted the tree. The final answer is 7 years. Hope this helps!
8 0
3 years ago
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