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Jobisdone [24]
2 years ago
6

Ophelia spins each of the three shown spinners once. What is the probability that the first spinner will land on A, the second o

n 4, and the third on Green? Enter your answer as a fraction in simplest form. Use / to write your fraction.
Mathematics
1 answer:
loris [4]2 years ago
7 0

Answer:

1 /24

Step-by-step explanation:

Given the 3 spinners :

Probability = required outcome / Total possible outcomes

Probability that Spinner 1 lands on A :

P(spinner 1 lands on A) = 1/2

Probability that spinner 2 lands on 4 :

P(lands on 4) = 1 / 4

Probability that spinner 3 lands on green :

P(lands on green) = 1/3

Combined probability = 1/2 * 1/4 * 1/3 = 1 /24

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Omar wants to open an account for his grandchildren that he hopes will have
olga_2 [115]

Using compound interest, it is found that he must deposit $56,389.

Compound interest:

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

  • 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.  
  • t is the time in years for which the money is invested or borrowed.

In this problem:

  • Hopes to have $80,000 in 20 years, thus t = 20, A(t) = 80000.
  • Interest rate of 1.75%, thus r = 0.0175.
  • Compounding monthly, thus n = 12
  • The investment is of P, for which we have to solve.

Then:

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

80000 = P(1 + \frac{0.0175}{12})^{12(20)}

P = \frac{80000}{(1 + \frac{0.0175}{12})^{12(20)}}

P = 56389

He must deposit $56,389.

A similar problem is given at brainly.com/question/25263233

4 0
2 years ago
Help out a real dude
Verdich [7]
59.70 for 6 hours of mowing and 1 hour of babysitting !
7 0
3 years ago
Read 2 more answers
Tiana can clear a football feild of debris in 3 hours. Jacob can clear the same feild in 2 hours. If they decide to clear the fe
OleMash [197]

Answer:

1 hour

Step-by-step explanation:

3 hours subtract 2 hours

3 0
3 years ago
0.345 recurring as a fraction please - the 3 and 5 are recurring
Aneli [31]

Answer:

The decimal 0.345 expressed as a fraction is 69200 .

8 0
1 year ago
If a line has a midpoint at (2,5), and the endpoints are (0,0) and (4,y), what is the value of y? Please explain each step for a
Dovator [93]

Answer:

y = 10

Step-by-step explanation:

To find the y coordinate of the midpoint, take the y coordinates of the endpoints and average

(0+y)/2 = 5

Multiply each  die by 2

0+y = 10

y = 10

3 0
2 years ago
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