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Virty [35]
2 years ago
15

Some jobs pay a commission plus a bonus at the end of the year. The bonus may be a percent of the salesperson's total commission

for the year. a. Madelyn Carr is a sales representative. She receives 7 percent commission on all sales. At the end of the year, she receives a bonus of 5 percent of her commission. What is her total pay for a year in which she had sales totaling $412,454? b. What would Carr's total pay be if her sales were $316,250?​
Mathematics
1 answer:
Zarrin [17]2 years ago
5 0

Answer:

Step-by-step explanation:

commision the end of the year is;

7

------- × 412454

100

= $28871.78

bonus is ;

5

--------- × 28871.78

100

= 1443.589

total pay is 1443.589 + 28871.78

= $30315.369.

(b)

5

----------- × 316250

100

= $15812.5

total pay is = 15812.5 + 316250

= $332062.5

You might be interested in
the ratio of the lenghts of corresponding parts in two smillar solids is 4.1 what is the ratio of their surface areas?
victus00 [196]

Answer:

16:1

Step-by-step explanation:

The ratio of the surface areas of the similar solids is the square of the lengths.

(4:1)²

4²:1²

⇒ 16:1

5 0
3 years ago
Use the Fundamental Theorem for Line Integrals to find Z C y cos(xy)dx + (x cos(xy) − zeyz)dy − yeyzdz, where C is the curve giv
Harrizon [31]

Answer:

The Line integral is π/2.

Step-by-step explanation:

We have to find a funtion f such that its gradient is (ycos(xy), x(cos(xy)-ze^(yz), -ye^(yz)). In other words:

f_x = ycos(xy)

f_y = xcos(xy) - ze^{yz}

f_z = -ye^{yz}

we can find the value of f using integration over each separate, variable. For example, if we integrate ycos(x,y) over the x variable (assuming y and z as constants), we should obtain any function like f plus a function h(y,z). We will use the substitution method. We call u(x) = xy. The derivate of u (in respect to x) is y, hence

\int{ycos(xy)} \, dx = \int cos(u) \, du = sen(u) + C = sen(xy) + C(y,z)  

(Remember that c is treated like a constant just for the x-variable).

This means that f(x,y,z) = sen(x,y)+C(y,z). The derivate of f respect to the y-variable is xcos(xy) + d/dy (C(y,z)) = xcos(x,y) - ye^{yz}. Then, the derivate of C respect to y is -ze^{yz}. To obtain C, we can integrate that expression over the y-variable using again the substitution method, this time calling u(y) = yz, and du = zdy.

\int {-ye^{yz}} \, dy = \int {-e^{u} \, dy} = -e^u +K = -e^{yz} + K(z)

Where, again, the constant of integration depends on Z.

As a result,

f(x,y,z) = cos(xy) - e^{yz} + K(z)

if we derivate f over z, we obtain

f_z(x,y,z) = -ye^{yz} + d/dz K(z)

That should be equal to -ye^(yz), hence the derivate of K(z) is 0 and, as a consecuence, K can be any constant. We can take K = 0. We obtain, therefore, that f(x,y,z) = cos(xy) - e^(yz)

The endpoints of the curve are r(0) = (0,0,1) and r(1) = (1,π/2,0). FOr the Fundamental Theorem for Line integrals, the integral of the gradient of f over C is f(c(1)) - f(c(0)) = f((0,0,1)) - f((1,π/2,0)) = (cos(0)-0e^(0))-(cos(π/2)-π/2e⁰) = 0-(-π/2) = π/2.

3 0
3 years ago
The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.
Scrat [10]

Just did a specific one of these; let's do the general case.


The point nearest the origin is (a,b).


The line from the origin through the point is


bx - ay = 0


The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):


ax + by = a^2 + b^2


ax + by -( a^2 + b^2) = 0


That's standard form; let's plug in the numbers:


4 x - 4 y - 32 = 0


x - y - 8 = 0



5 0
3 years ago
Solve the equation.<br><br> -1 2/7 ÷ 1 13/14 =
sergeinik [125]

Answer:

-4/13

Step-by-step explanation:

just using your calculator and you can get the answer.

5 0
3 years ago
Read 2 more answers
Email used a total of 7 1half
Gala2k [10]
13 - 5 5/6
= 12 6/6 - 5 5/6
= 7 1/6

hope it helps
7 0
3 years ago
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