How many years (approximately) will it take $6,000 to amount $8,000 if it is invested at an annual rate of 9.0% compounded continuously

3.2 years.

Step-by-step explanation:

We are asked to find the number of years it will take an amount of $6,000 to be $8,000 compounded continuously at an annual rate of 9%.

We will use continuous compound interest formula to solve our given problem.

, where,

A = Amount after t years,

P = Principal amount,

e = Mathematical constant,

r = Interest rate in decimal form,

t = Time in years.

Switch the sides:

Now, we will take natural log of both sides.

Therefore, it take approximately 3.2 years for the amount of $6,000 to be $8,000.

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

it is 570

step-by-step explanation: