A couple decides on the following savings plan for their child’s college education. When the child is 6 months old, and every 6 months thereafter, they will deposit $300 into a savings account earning 9% semi-annually. After their child’s tenth birthday, having made 20 such payments, they will stop making deposits and let the accumulated money earn interest, at the same rate, for 8 more years, until their
child is 18 years old and ready for college. How much will be in the account when the child is ready for college?

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graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.