PLEASE HELP ME!!!!<br> I need help with number 14.

A salesperson makes a base salary of $15,000 per year plus a 8% commission on total sales for the year. The yearly salary can be

allochka39001 [22]

The salary of the salesperson can be represented as "y" and the number of sales for the year will be represnted as "x". With this in mind the salary will be the fixed part (15000) plus the number of sales per year multiplied by 8 percent. With this in mind we have:

$\begin{gathered} y(x)=15000+8\text{\%}\cdot x \\ y(x)=15000+\frac{8}{100}\cdot x \\ y(x)=15000+0.08\cdot x \end{gathered}$

The function that represents his yearly salary is "y(x)=15000+0.08*x".

To find his salary when he sells $500,000 in a year we need to make x equal to that value. Therefore:

$\begin{gathered} y(500000)=15000+0.08\cdot500000 \\ y(500000)=15000+40000 \\ y(500000)=55000 \end{gathered}$

His salary will be $55,000 for that year.

4 0

1 year ago

If (1, -3) is on the graph of F(x), which point must be on the graph of the inverse function F -1(x)?

Anni [7]

If (1, -3) is the point of the function, then the point of the inverse function would be (-3, 1).

Firstly, the notation being used above with the negative 1 denotes that it is an inverse function. Secondly, all inverse functions are just the ordered pairs of the original function in reverse. So, since we had -3 for x and 1 for y, we change it to 1 for x and -3 for y.

3 0

3 years ago

Read 2 more answers

PLEASE HELP 20 POINTS One day, River writes down the numbers $1,$ $2,$ $\dots,$ $999.$ What is the sum of all the digits that Ri

Temka [501]

Answer:

LOL this is from AOPS

Step-by-step explanation:

LOL tryna cheat out here

6 0

3 years ago

Solve for the function X(s) in the Laplace domain by taking the Laplace transform of the following differential equations with g

Sedaia [141]

Answer:

X(s) = 2/[s³(s + 9)]

Step-by-step explanation:

Here is the complete question

Solve for the function X(s) in the Laplace domain by taking the Laplace transform of the following differential equations with given initial conditions.

dx/dt + 9x = 16t² x(0) = 0 and dx(0)/dt = 5

Solution

dx/dt + 9x = 16t²

Taking the Laplace transform of the differential equation, we have

L{dx/dt + 9x} = L{16t²}

L{dx/dt} + L{9x} = L{16t²}

L{dx/dt} + 9L{x} = 16L{t²}

sL{x} - x(0) + 9L{x} = 16L{t²}

L{x} = X(s)

L{t²} = 2!/s³

Substituting X(s) and L{t²} into the equation above, we have

sX(s) - x(0) + 9X(s) = 2!/s³

Substituting x(0) = 0 into the equation above, we have

sX(s) - x(0) + 9X(s) = 2!/s³

sX(s) - 0 + 9X(s) = 2!/s³

sX(s) + 9X(s) = 2!/s³

Factorizing X(s), we have

(s + 9)X(s) = 2!/s³

X(s) = 2/[s³(s + 9)]

So X(s) in the Laplace domain is

X(s) = 2/[s³(s + 9)]

3 0

3 years ago

Erin already has 7 plants in her backyard, and she can also grow 2 plants with every seed

Reil [10]

The answer is p=2s+7. Two plants can be grown from each seed packet, and Erin already has seven plants so you add that to the equation as well.

8 0

3 years ago

PLEASE HELP ME!!!! I need help with number 14.