If your starting salary is $40,000 and you receive a 3% increase at the end of every year, what is the total amount, in dollars, you will earn over the first 16 years that you work? round your answer to the nearest whole dollar, and express your answer without using commas.

SEE BELOW      PLEASE GIVE BRAINLIEST

Step-by-step explanation:

YEAR 1:  40000 X .03 = 1200       40,000 + 1200 = 41200

YEAR 2: 41,200 X .03 = 1236        41,200 + 1236 = 42436

YEAR 3: 42436 X .03 = 1273.08    42436 + 1273.08 = 43709.08

YEAR 4: 43709.08 x .03 = 1311.27    43709.08 + 1311.27 = 45020.35

YEAR 5: 45020.35 X .03 = 1350.61    45020.35 + 1350.61 = 46370.96

YEAR 6: 46370.96 X .03 = 1391.13         46370.96 + 1391.13 = 47762.09

YEAR 7: 47762.09 X .03 = 1432.86       47762.09 + 1432.86 = 49194.95

YEAR 8: 49194.95 X .03 = 1475.85        49194.95 + 1475.85 = 50670.80

YEAR 9: 50670.80 X .03 =  1520.12         50670.80 + 1520.12 = 52190.92

YEAR 10: 52190.92 X .03 = 1565.73         52190.92 + 1565.73 = 53756.65

YEAR 11: 53756.65 X .03 = 1612.70             53756.65 + 1612.70 = 55369.35

YEAR 12: 55369.35 X .03 = 1661.08           55369.35 + 1661.08 = 57030.43

YEAR 13: 57030.43 X .03 = 1710.91            57030.43 + 1710.91 = 58741.34

YEAR 14: 58741.34 X .03 = 1762.24            58741.34 + 1762.24 = 60503.58

YEAR 15: 60503.58 X .03 = 1815.11           60503.58 + 1815.11 = 62318.69

YEAR 16: 62318.69 X .03 = 1869.56         62318.69 + 1869.56 = $64,188.25 = $64188

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i