As a salesperson at Trading Cards Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sells $500 worth of merchandise in one month, he is paid $410. If he sells $900 of merchandise in one month, he is paid $498.​

Justin's salary will be $1048 when he sells $3400 worth of merchandise.

Step-by-step explanation:

If the salesperson receives a monthly base pay and the commission on the sales expression that represents his monthly pay,

y = B + C(x)

Here y = Monthly pay

B = Base pay

C = percentage of commission

x = Amount of sales done

If he sells $500 worth of merchandise in a month, he earns $410,

410 = B + C(500) -----(1)

If he sells $900 worth of merchandise in a month, he earns $498,

498 = B + C(900) ------(2)

By subtracting equation (1) from equation (2),

498 - 410 = 900C - 500C

88 = 400C

C =

C = 0.22

From equation (1),

410 = B + 0.22(500)

B = 410 - 110

B = $300

Therefore, expression for the monthly earning will be,

y = 300 + 0.22(x)

Justin's salary when he sells $3400 worth of merchandise in a month,

y = 300 + 0.22(3400)

y = 300 + 748

y = $1048

Therefore, Justin's salary will be $1048.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

translate k to n and reflect across the line containing jk.