Question 661041
The goal is $2440.

From the first account, she makes $34,000*4% = $1360

The amount she still needs is: $2440-1360 = $1080


Now, how much does she need to invest to have $1080 at the end of the year if the interest is at 9%?

The number 1080 is the amount invested plus the amount of the interest earned. 

if x is the amount invested:
x + x*9% = 1080
1x + x*9% = 1080
x(1 + 9%) = 1080
x(1+.09) = 1080
x(1.09) = 1080
x(1.09)*1/1.09 = 1080*1/1.09
x = 1080/1.09
x = $990.83