Juan borrows a total of $78,000 to pay for medical school. He borrows part of the money from the school whereby he will pay 4.6% simple interest. He borrows the rest of the money through a government grant that will charge him 6.5% interest. In both cases, he is not required to pay off the principal or interest during his 4 years of medical school. However, at the end of 4 years, he will owe a total of $16,062 for the interest from both loans. How much did he borrow from each source?​

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d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

the diameter is 16 cm. are you a teacher?

step-by-step explanation: