Answered

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Andy and Rachel each opened a savings account on the same day. Andy started by putting $400 in his account, and he will deposit an additional $10 each week. Rachel made an initial deposit of $250, and she will add $40 more each week.

Sagot :

Based on the amount that both of them are depositing as well as their beginning balance, they will have the same amount after 5 weeks.

The formula to find out Andy's account after n weeks is:

= Beginning amount + Number of weeks x Amount deposited per week

= 400 + 10n

For Rachel it would be:

= 250 + 40n

Equate both of these to find the week they will be equal:

400 + 10n = 250 + 40n

400 - 250 = 40n - 10n

150 = 30n

n = 150/30

n = 5 weeks  

In conclusion, it will take 5 weeks for their balances to be equal.

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