Question

Connor has $100,000 and wants to get an 8% return total at the end of the year. He can invest in two different stocks. One of the stocks will yield a 6% return per year and the second will yield a 8.5% return per year.
Which of the following system of equations correctly describes this situation if x represents the amount invested in the 6% stock, and y represents the amount invested in the 8.5% stock?

a) 0.6x+0.085y=0.08(100000)
x+y=100000

b) 0.085x+0.06y=100000
x+y=0.08(100000)

c) 0.06x+0.085y=100000
x+y=0.08(100000)

d)0.085x+0.06y=0.08(100000)
x+y=100000

Answer 1

Answer:

The system is given by the two equations:

x + y = 100000

0.06*x + 0.085*y = 0.08*(100000)

Step-by-step explanation:

The total money Connor has is $100,000. He wants to split it between two accounts, therefore the money that he'll apply on one account "x" plus the money that he'll apply on the other account "y" must be equal to the total he has. The first equation of the system, must be:

x + y = 100000

Since the first account gives a return of 6% and the second account gives a return of 8.5%, then the first account will give a return of 0.06*x and the second account will give a return of 0.085*y. The sum of this values must be equal to what he desires to recieve, therefore:

0.06*x + 0.085*y = 0.08*(100000)

The system is given by the two equations:

x + y = 100000

0.06*x + 0.085*y = 0.08*(100000)