Last year, manuel saved $50 per month . this year, he increases his monthly savings by 25%. he plans to buy a smart phone for $375. at this rate, how long will it take him to save enough money to buy the smart phone if he starts saving for it this year?

Final answer:

The probability in the game show 'Spinning for Luck!' depends on the sector division of each wheel and the range of dollar amounts and multipliers. To calculate, find combinations resulting in the desired outcomes and divide by total combinations.

Explanation:

The subject of this question is probability. It's difficult to answer directly since we do not have enough data. However, let's take an example. If each wheel has 10 sectors with equal chance of landing, and let's suppose the dollar amounts are from $10 to $100(increment of $10) and multipliers are from -2 to 8. To win $100 or more, in this setup, the first wheel needs to land on a $50 (and multiplier 2), a $20 with multiplier of 5, and so on. The amount of combinations resulting in $100 or above would need to be calculated and divided by the total amount of combinations (100).

Also, to owe $100 or more, we need  to be unlucky enough to land on -2 multiplier, and amount more than $50. Again, we calculate combinations and divide by total combinations.

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Answer a ) 25%

Answer b ) 8.33%

The following formula can be used to determine the likelihood of both winning and owing $100 or more:

a. ) Chance of winning at least $100:

On the first wheel, there is a 2/6 = 1/3 chance of landing in a sector that equates to $100 or more.

On the second wheel, there is a 3/4 chance of landing on a multiplier other than -2.

The odds of both happening are (1/3) * (3/4) = 1/4 or 0.25.

The likelihood of earning $100 or more is thus 0.25, or 25%.

b. ) Likelihood of having at least $100 in debt:

The odds of landing on a sector with a value on the first wheel that is less than or equal to -$50 are 2/6 = 1/3.

A landing on a -2 multiplier on the second wheel has a 1/4 chance of happening.

1/12, or 0.08333, is the likelihood that both occurrences will occur (1/3) * (1/4).

Thus, the likelihood of owing $100 or more is 0.08333, or around 8.33%.

Therefore the final answer is 25% and 8.33%.

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Answer:

The two actors will have the same amount of money in 5 days.

Step-by-step explanation:

Answer:

B. 0.72

Step-by-step explanation:

In order to find the answer we need to use the following formula:

where:

a, b, c are the length of the sides and the angle, so:

In conclusion, , so the answer is B.

Answer:

Tyra earns $1016.5 .

Option (c) is correct .

Step-by-step explanation:

As given

Tyra makes $21.40 per hour at her job for the first 40 hours and $32.10 for anything over 40 hours.

If Tyra typically works 45 hours per week .

Tyra work over 40 hours =  45 -40

                                         = 5 hours

Amount Tyra earns for first 40 hours = 40 × 21.40

                                                              = $ 856

Amount Tyra earns for over 40 hours = 5 × 32.10

                                                              = $160.5

Total amount Tyra earns = Amount Tyra earns for first 40 hours + Amount Tyra earns for over 40 hours .

Putting the values in the above

Total amount Tyra earns = $856 + $160.5

                                         = $1016.5

Therefore  the Tyra earns $1016.5 .

Option (c) is correct.