Leroy invested 12,000 into two different bank accounts. one account (x) gives leroy 1.5% interest yearly and the other account (y) give leroy 3% interest yearly. at the end of one year leroy had earned $300 in interest. which system of equations could be used to solve for how much money leroy invested in the two accounts?

The system of equations is,

Step-by-step explanation:

For first account,

Investment = x,

Annual rate of interest = 1.5 %

Time = 1 year

Thus, the total interest by one account,

Now, for second account,

Investment = y

Annual rate of interest = 1.5%

Time = 1,

Hence, the interest by the second account,

Thus, the total interest,

According to the question,

Now,  total investment = 12000,

⇒ x + y = 12000

Hence, the required system of equations, to solve for how much money Leroy invested in the two accounts is,

,

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hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb