SOLUTION: You invested a total of 40,000 at 3% and 4 1/2% simple interest. During one year, the two accounts earned $1575. How much did you invest in each account

Question 988537: You invested a total of 40,000 at 3% and 4 1/2% simple interest. During one year, the two accounts earned $1575. How much did you invest in each account
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
T=amount at 3%; F=amount at 4.5%
.
T+F=$40000
T=40000-F Use to substitute for T.
.
0.03T+0.045F=$1575 Substitute for T.
0.03($40000-F)+0.045F=$1575
$1200-0.03F+0.045F=$1575
0.015F=$375
F=$25000 ANSWER 1: $25000 was invested at 4.5%.
T=$40000-F=$40000-$25000=%15000 ANSWER 2: $15000 was invested at 3%.
.
CHECK:
.
0.03T+0.045F=$1575
0.03($15000)+0.045($25000)=$1575
$450+$1125=$1575
$1575=$1575

RELATED QUESTIONS
You invested a total of $20,000 at 3% and 4 1/2% simple interest. During one year, the... (answered by ewatrrr)

you invested a total of $25000 at 3% and 4 1/2% simple interest. During one year, the... (answered by vleith,macston)

You invested a total of $35,000 at 3% and 4.5% simple interest. During one year, the... (answered by richwmiller)

You invested a total of $15,000 at 3% and 4.5% simple interest. During one year, the... (answered by josmiceli)

You invested a total of $12,000 at 4 1/ 2 % and 5% simple interest. During one year, the... (answered by fractalier)

Please help me solve this problem: You invested a total of $10,000 at 4 1/2% and 5%... (answered by Boreal)

You invested a total of $6,000 at 4 1/2 % and 5% simple interest. During one year, the... (answered by solver91311)

you invested a total of php 10,000 at 4 1/2 percent and 5 1/2 percent simple interest.... (answered by richwmiller)

You invested a total of $25,000 at 3% and 4 1/2% simple interest. During one year, the... (answered by richwmiller)