Kristen started the year with 635 in the bank and is saving $35 a week. Casey started the year with $835 and is spending $15 a week What’s kristen’s equation?

What’s Casey’s equation?

when will they have the same amount of money in the bank?

Given :

Kristen started the year with $635 in the bank and is saving $35 a week.

Casey started the year with $835 and is spending $15 a week.

To Find :

Kristen’s equation.

Casey’s equation.

When will they have the same amount of money in the bank.

Solution :

Since, Kristen is saving $35 every month, price increase in x months :

Also, Casey is spending $15 month.

Now, let after n months both have same amount of money in the bank :

So,

Therefore, they have same amount of money after 4 months.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.