SOLUTION: a mother invest $13,000.00 for her son's future education she invests a portion of the money in a bank certificate of deposit (cd account) which earns 4% and the remainder in a sav

Algebra.Com
Question 895619: a mother invest $13,000.00 for her son's future education she invests a portion of the money in a bank certificate of deposit (cd account) which earns 4% and the remainder in a savings bond that earns 7%. if the total interest after one year is $780.00, how much money was invested in the cd account.
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
x+y=13000,
0.04*x+0.07*y=780
x=13000-y
0.04*(13000-y)+0.07*y=780
520-0.04y+0.07*y=780
0.03*y=260
y=8666.66667 at 7%
x=13000-y
x=4333.33333 at 4%
check
0.04*4333.33333+0.07*8666.66667=780
173.333333+606.666667=780
780.0=780
ok

RELATED QUESTIONS

A mother wants to invest $6,000.00 for her son's future education. She invests a portion (answered by mananth)
A mother wants to invest $11,000 for her son's future education. She invests a portion of (answered by scott8148)
A mother wants to invest $11,000.00 for her son's future education. She invests a portion (answered by mananth)
A mother wants to invest $10,000 for her son's future education. She invests a portion of (answered by Boreal)
A mother wants to invest $9,000.00 for her son's future education. She invests a portion... (answered by Boreal,josmiceli)
A mother wants to invest ​$9,000 for her​ son's future education. She invests a... (answered by greenestamps)
A mother wants to invest 12,000.00 for her son's future education. She invests a portion... (answered by jorel1380)
can you please help me solve this word problem: A mother wants to invest $7,000.00 for... (answered by MathTherapy)
A mother wants to invest​ $10,000.00 for her​ son's future education. She... (answered by jorel1380)