Express the amount that results from 100 dollars invested at 5 percent compounded continuously after a period of 2 years.

9514 1404 393

  $110.52

Step-by-step explanation:

The formula for the amount resulting from continuous compounding is ...

  A = P·e^(rt) . . . . . principal P compounded continuously at annual rate r for t years

Using your values, we have ...

  A = 100·e^(0.05·2) = 100e^0.1 = 110.52

The resulting amount is $110.52.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18