DaBoss13
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Murray’s father deposited $6,000 of his savings into two accounts. One account earns 1.5 percent interest, and the other account earns 2.5 percent interest. At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account. Which system represents the amounts of money, x and y, that was put into each account?

Respuesta :

Answer:

It's C., x+y=6,000

0.025x-0.015y=110

I just did the test.

Step-by-step explanation:

JeanaShupp

Answer:

[tex]x+y=6000\\\\0.025x-0.015y=110[/tex]

Step-by-step explanation:

Let x represents the amount money deposited in one account and y represents the amount of money deposited in other account.

Given : Murray’s father deposited $6,000 of his savings into two accounts.

i.e. x+y=6,000                                              (1)

One account earns 1.5 percent interest, and the other account earns 2.5 percent interest.

We know that  Interest = Deposited amount x Interest x Time

Interest earned by account 1 = 0.015x  

Interest earned by account 2 =0.025y

At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account.

i.e.Interest earned by account 2 - Interest earned by account 1 = $110.00

i.e.          0.025x-0.015y=110                 (2)

From (1) and (2) , the system represents the amounts of money, x and y, that was put into each account :-

[tex]x+y=6000\\\\0.025x-0.015y=110[/tex]

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