An initial investment of $480 earns interezt for 7 years in an account that earns 13% interest, compounded quarterly. find the amount of money in the account at the end of the 7 year period

$1,175.34

Step-by-step explanation:

To solve for the total amount after 7 years. We need to use the formula:

Let's first break down all the variables that we have.

P = 480

r = 13% or 0.13

n = 4 (Quarterly)

t = 7 years

Now we simply substitute the values into the formula.

The account will have $1,175.34 after the 7 year period.

2,600 divided by 80 = 32.5

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