Larry invests $7,000 in an account that earns 6% interest compounded continuously. How much will Larry have in 7 years?

9940

Step-by-step explanation:

its easy please give brainlist

~10525.41 after 7 years

Step-by-step explanation:

y=a(1+r)^x

That's the equation for exponential growth

a= the starting amount

r= the rate at which it is growing

x=years

with that information

a=7000

r=6% or 0.06

so y=7000(1+0.06)^x -> y=7000(1.06)^x

x=7

y=7000(1.06)^7

y~10525.41

(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