A jar containing only nickels and dimes contains a total of 60 coins, The value of all the coins in the jar is $4.45. Write a system of equations to find the number of nickels and dimes in the jar. Use x for the number of nickels and y for the number of dimes.

You just purchased two coins at a price of $670 each. because one of the coins is more collectible, you believe that its value will increase at a rate of 7.1 percent per year, while you believe the second coin will only increase at 6.5 percent per year. if you are correct, how much more will the first coin be worth in 15 years?