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fomenos
2 years ago
13

Amanda worked the entire summer before her freshman year of college. She saved $2000. She withdraws $150 per week for expenses.

She must have at least $200 in her account before the bank will fine her a fee. How many weeks will she be able to withdraw money before she is fine?
Mathematics
1 answer:
ivolga24 [154]2 years ago
3 0

Answer:

12 weeks.

Step-by-step explanation:

Amanda starts with $2000 and is getting $150 per week which means that we can make the expression:

2000-150n=200

The expression is equal to 200 because is the limit where we can arrive to avoid the fee, then the n is the number of weeks that we are looking for:

150n=2000-200\\n=\frac{1800}{200}\\n=12

n=12 weeks

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A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

A fair dice can have any value between 1 and 6 with equal probability. There are two fair dices, so we have the following possible outcomes.

Possible outcomes

(first rolling, second rolling)

(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)

(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)

(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)

(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)

(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)

(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

There are 36 possible outcomes.

Desired outcomes

Sum is 7, so

(1,6), (6,1), (5,2), (2,5), (3,4), (4,3).

There are 6 desired outcomes, that is, the number of outcomes in which the sum of the two dice is 7.

Answer

P(Sum of the two dice is 7) = 6/36

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