Steve deposited $5,000 in a saving account that pays 4% interest compounded annually. Which equation could be used to find the value of the account after 3 years

A = P(1+r/n)^(nt)

A = 5000(1.04)^(t)

Future value A = $5,624.32

Step-by-step explanation:

The standard formula for compound interest is given as;

A = P(1+r/n)^(nt) 1

Where;

A = final amount/value

P = initial amount/value (principal)

r = rate yearly

n = number of times compounded yearly.

t = time of investment in years

For this case;

Since we want to determine the value that will be equivalent to $5,000 in 3years.

P = $5,000

t = 3years

n = 1

r = 4% = 0.04

Substituting into equation 1;

A = 5000(1.04)^(t)

A = 5000(1+0.04/1)^(1×3)

A = $5624.32

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be