A principal of $835 is invested in an account at 2% per quarter simple interest. Which of the following sequences describes the dollar amount of
principal in the account at quarterly intervals?
A. 66.80, 133.60, 200.40, 267.20, 334.00, ...
B. 835.00, 851.70, 868.40,885.10, 901.80, ...
C. 835.00, 901.80, 968.60, 1,035.40, 1,102.20, ...
D. 16.70, 33.40, 50.10, 66.80, 83.50,...
E. 835.00, 851.70, 868.73, 886.11, 903.83, ...

Answer E

Step-by-step explanation: The first number is 835 as this is how much you have in the bank to begin with. Work out 2% of 835.

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3