Respuesta :
Answer: $17,000 invested in bonds and $13,000 in certificate of deposit
Step-by-step explanation: let x = amount invested in bonds
y = amount invested in certificate of deposits.
According to the question, amount invested in bonds is $4000 more than the amount invested in certificate of deposits.
x = y + $4000 — (1)
Also from the question, the total money for investment is $30,000
x + y = $30,000 — (2)
By substituting eqn (1) into eqn (2), we have
y + 4000 + y = 30, 000
2y + 4000 = 30,000
2y = 30,000 - 4000
2y = 26,000
y = $ 13,000
But x + y = 30,000 where y = 13,000
x + 13, 000 = 30,000
x = 30,000 - 13,000
x = $17,000
Hence $17, 000 is invested in Bonds and $13, 000 in certificate of deposit
Answer: the amount invested in bonds $18500
the amount invested in certificates of deposits is $14500
Step-by-step explanation:
Let x represent the amount invested in bonds.
Let y represent the amount invested in certificates of deposits.
A total of $33000 is to be invested, some in bonds and some in certificates of deposit (CDs). This would be expressed as
x + y = 33000 - - - - - - - - - - - 1
If the amount invested in bonds is to exceed that in CDs by $4000, this would be expressed as
x = y + 4000
Substituting x = y + 4000 into equation 1, it becomes
y + 4000 + y = 33000
2y + 4000 = 33000
2y = 33000 - 4000
2y = 29000
y = 29000/2 = 14500
x = y + 4000 = 14500 + 4000
x = 18500
