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julia-pushkina [17]
3 years ago
15

PLEASE HELP THIS IS DUE ASAP!!!!!!!!!!

Mathematics
1 answer:
Effectus [21]3 years ago
3 0

Answer:

1/36

Step-by-step explanation:

When you roll a die the possible outcomes are 1,2,3,4,5,6

P(1) = number of outcomes that are 1 / total outcomes

       =1/6

The events are independent so we can multiply the probabilities

P(1,1) = 1/6*1/6 = 1/36

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EastWind [94]

Given:

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Solution:

In 37.5 months, the account balances in both accounts will be equal.

This balance will be equal to $750 in both account A and B.

Calculation:

Let x be the number of months where both the accounts have equal balance.

So, at the end of x months, 16x is the amount of money that will be added to account A (since $16 is added every month).

And the total amount at the end of x months will therefore be $(150+16x)

Similarly, at the end of x months, 12x is the amount of money that will be added to account B (since $12 will be added every month).

And the total amount at the end of x months will therefore be $(300+12x)

By our assumption, x is the number of months it will take for both the accont balances will be equal. Therefore, we have the equation

150+16x=300+12x\\4x=150\\x=37.5

Therefore, in 37.5 months, the account balances in both accounts will be equal.

This balance will be equal to 150+16(37.5)=750 i.e. $750 will be the balance in both account A and B.

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