Sally makes deposits into a retirement account every year from the age of 30 until she retires at age 65. a) sally deposits $1250 per year and the account earns interest at a rate of 7% per year, compounded annually, how much does she have in the account when she retires? b) how much of that total amount is from sally's deposits? how much is interest? a) sally will have in the account when she retires, (round to the nearest cont as needed.)

a) $13345.73

b) $ 12095.73

Step-by-step explanation:

a) Formula for compound interest: A = P(1 + r/n)^n*t

Step 1: Write the data

Principal = P = 1250

rate = r = 7% = 7/100 = 0.07

Time = retirement age - starting age = 65 - 30 = 35

n = number of periods = 1 (compounded annually)

Amount = A = ?

Step 2: Apply the data in the formula

A = P(1 + r/n)^n*t

A = 1250 (1 + 0.07/1)^1*35

A = 13345.73

Sally will have $13345.73 in the account when she retires.

b) The total amount from Sally's deposit can be derived by subtracting the total amount found in part a by the amount deposited.

Amount - Sally's deposit = x

x = 13345.73 - 1250

x = 12095.73

The total amount from Sally's deposit is $12095.73. Therefore, the interest given to Sally on her deposit is $12095.73.

!!

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

a

step-by-step explanation:

the answer is a