Since 2008, the net sales S of a coffee company have grown exponentially at the rate of 46.3% per year. This growth can be modeled by dSdt=0.463S, and the function S satisfying this equation is S=500000e0.463t. How many years will it take for the net sales to double? (Round to three decimal places, and don't include units)

1.497

Step-by-step explanation:

If net sales are given by the function:

The initial net sales, at t = 0 are:

In order for sales to double, then S(t) must be equal to 1,000,000. The time 't', in years, required for sales to double is:

It will take 1.497 years for net sales to double.

1.497 years

Step-by-step explanation:

In 2008, t = 0

When sales are doubled, S = 1000000

Therefore, sales will double in 1.497 years

answer: what

step-by-step explanation:

(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