SOLUTION: Two investments totaling $15,500 produce an annual income of $1450. One investment yields 10% per year, while the other yields 5% per year. How much is invested at each rate?

Question 1153890: Two investments totaling $15,500 produce an annual income of $1450. One investment yields 10% per year, while the other yields 5% per year. How much is invested at each rate?
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
10% rate:
Principal = p
Rate = 0.10
Interest = 0.10p

5% rate:
Principal = 15500 - p
Rate = 0.05
Interest = 0.05(15500 - p) = 775 - 0.05p

0.10p + (775 - 0.05p) = 1450

0.05p + 775 = 1450

0.05p = 675

p = 13500

10% rate:
Principal = p = $13,500

5% rate:
Principal = 15500 - p = 15500 - 13500 = $2000
RELATED QUESTIONS
Two investments totaling $47,500 produce an annual income of $3000. One investment... (answered by josgarithmetic)

Two investments totaling $41,500 produce an annual income of $2895. One investment... (answered by josgarithmetic)

Two investments totaling $56,500 produce an annual income of $1835. One investment... (answered by ikleyn,greenestamps)

Two investments totaling $31,000 produce an annual income of $2635. One investment yields (answered by addingup)

Two investments totaling $38,500 produce an annual income of $2590. One investment... (answered by addingup)

Two investments totaling $56,500 produce an annual income of $2480. One investment... (answered by richwmiller)

Two investments totaling $38,500 produce an annual income of $2805. One investment... (answered by richwmiller)

Two investments totaling $36000 produce an annual income of $2715. one investment yields... (answered by richwmiller)

Two investments totaling $61,000 produce an annual income of $2375. One investment... (answered by stanbon)