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kupik [55]
3 years ago
12

The best player on a basketball team makes 95​% of all free throws. The​ second-best player makes 90​% of all free throws. The​

third-best player makes 80​% of all free throws. Based on their experimental​ probabilities, estimate the number of free throws each player will make in his or her next 40 attempts. Explain.
Mathematics
1 answer:
pentagon [3]3 years ago
8 0

Answer: See explanation

Step-by-step explanation:

The best player on a basketball team makes 95​% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:

= 95% × 40

= 95/100 × 40

= 0.95 × 40

= 38

The​ second-best player makes 90​% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:

= 90% × 40

= 90/100 × 40

= 0.90 × 40

= 36

The​ third-best player makes 80​% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:

= 80% × 40

= 80/100 × 40

= 0.80 × 40

= 32

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Michelle's investment balance after 8 years is $10,790.48.

Kristen's investment balance after 8 years is $3,770.55.

Gabriella's investment balance after 8 years is $24,780.42.

Judy's investment balance after 8 years is $3618.62.

The person with the highest amount of money at the end of the 8 years is Gabriella. If I were to choose one of the investment options, I would choose Gabriella's option.

<h3>What are the formulas that can be used to determine the balance of the sisters?</h3>

The formula that can be used to determine the future value of the investment with compounding is:

FV = P (1 + r)^nm

Where:

  • FV = Future value
  • P = Present value
  • R = interest rate / number of compounding
  • m = number of compounding
  • N = number of years

Future value with continuous compounding =  : A x e^r x N

Where:

  • A= amount
  • e = 2.7182818
  • N = number of years
  • r = interest rate

<h3>What is Michelle's balance after 8 years?</h3>

Future value with monthly compounding = $2000 x ( 1 + 0.035/12)^(12 x 8) = $2645.18

Future value with continuous compounding: 1000 x e^0.018 x 8 = $8,145.30

Total = $8,145.30 + $2645.18 = $10,790.48

<h3>What is Kristen's balance after 8 years?</h3>

Future value with quarterly compounding = 2500 x (1 + 0.012 / 4)^(4 x 8) = $2,751.50

Future value with quarterly compounding = 500 (1 .0225)^(8x4) = $1019.05

Total = $3,770.55

<h3>What is Gabriella's balance after 8 years?</h3>

$3000 x e^0.032 x 8 = $24,780.42

<h3>What is Judy's balance after 8 years?</h3>

Future value with exponential increase = 1050 x (1.015)^8 = $1,182.82

Future value with biannual compounding = 1950 x (1 + 0.028/2)^(8 x 2) = $2435.80

Total = $3618.62

To learn more about future value, please check: brainly.com/question/18760477

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Answer: subtract 2 and then multiply 2 then spuare root both sides then subtract  5

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The information's given in the question are of vital importance. These information's should be very useful while getting to the desired answer of the given question.Let us now concentrate on the problem that needs to be solved.
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Answer:

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