Susie Q has dollars to invest. She invests some of the money at the Pretty Penny Bank, which compounds annually at a certain percent. She invests the rest of the money at the Five and Dime Bank, which compounds annually at another percent. After two years, Susie has a total of a certain amount. How much did Susie Q originally invest at the Pretty Penny Bank, in dollars?

To find out how much Susie originally invested at the Pretty Penny Bank, set up two equations using the compound interest formula and solve for x.

Explanation:

To solve this problem, we can set up two equations using the compound interest formula. Let's say Susie initially invests $x at the Pretty Penny Bank and $y at the Five and Dime Bank. After two years, the total amount she has is given as $z.

The compound interest formula is A = P(1 + r/n)^(nt), where A is the total amount after time t, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

Using this formula for the two banks, we get the equations:

x(1 + r1/100)^2 + y(1 + r2/100)^2 = z

From here, you can substitute the given values and solve for x to find out how much Susie originally invested at the Pretty Penny Bank.

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