Monica invest a total of $ 17,000 in two accounts. The first account earned a rate of return of 14% (after a year). However, the second account suffered a 9% loss in the same time period. At the end of one year, the total amount of money gained was $ 540.00. How much was invested into each account?

The money invested in the account of gain was x = $ 9,000

The money invested in the account of loss was y = $ 8,000

Step-by-step explanation:

Solution:-

- Monica invested a total T = $ 17,000 in two of her accounts.

- Take the money invested in account A today = x

- Take the money invested in account B today = y

- The total money invested today is:

                      x + y = 17,000   ... Eq1

- After one year, the amount in each categorized by the following statement:

    " The first account earned a rate of return of 14% (after a year) "

- The amount in account A after a year would be = ( 1 + gain/100 )*x

                                                                                 = ( 1 + 14/100)*x

                                                                                 = ( 1 + 0.14 )*x

                                                                                 = 1.14x

The account B:

    " the second account suffered a 9% loss in the same time period "

- The amount in account B after a year would be = ( 1 - loss/100 )*y

                                                                                 = ( 1 - 9/100)*y

                                                                                 = ( 1 - 0.09 )*y

                                                                                 = 0.91*y

- The total amount of money in two accounts after one year would be:

                Total money after a year = 1.14x + 0.91*y

- Given that the gain in one year was G = $540

               G = Total money after one year - Total invested

               540 =  [ 1.14x + 0.91*y ] - 17,000

               17,540 =  1.14x + 0.91*y   Eq 2

- Solve the two equations Eq1 and Eq2 simultaneously:

                x + y = 17,000

               1.14x + 0.91*y = 17,540

             x = $ 9,000 , y = $ 8,000

- The money invested in the account of gain was x = $ 9,000

- The money invested in the account of loss was y = $ 8,000

1 is c

2 is a

3 is a

step-by-step explanation:

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.