What is 2(10) + 2(x – 4) simplified

An author receives a contract from a publisher, according to which she is to be paid a fixed sum of $20,000 plus $3.50 for each

Schach [20]

Answer:

The mean of the total payments she will receive is $79,500.

The standard deviation of the total payments she will receive is $14,000.

Step-by-step explanation:

Given : An author receives a contract from a publisher, according to which she is to be paid a fixed sum of $20,000 plus $3.50 for each copy of her book sold. The author judges that her uncertainty about total sales of the book can be represented by a random variable with a mean of 17,000 and a standard deviation of 4,000 books.

To find : The mean and standard deviation of the total payments she will receive ?

Solution :

Let 'x' represent total sales of the book.

Let 'y' represent the payment to the author.

According to question,

The mean of the total payments she will receive is given by,

$\mu_y=20,000+3.50\mu_x$

Where, $\mu_x=17,000$

Substitute in the equation,

$\mu_y=20000+3.50\times 17000$

$\mu_y=20000+59500$

$\mu_y=79500$

The mean of the total payments she will receive is $79,500.

The standard deviation of the total payments she will receive is given by,

$\sigma_y=|3.50|\sigma_x$

Where, $\sigma_x=4,000$

Substitute in the equation,

$\sigma_y=|3.50|\times 4000$

$\sigma_y=14000$

The standard deviation of the total payments she will receive is $14,000.

7 0

2 years ago

A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid

Feliz [49]

Answer:

She will be paid $1,350

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

y=mx+b, where m and b are constants.

The payments for a salesperson will be linearly modeled. There are two known points: When the sales were $16,000, the payment was $1,600. This makes the point (16,000;1,600).

We also know when the sales were $12,000, the payment was $1,400. The point is (12,000;1,400)

Let's use the points to find the values of m and b.

Using (16,000;1,600):

1,600=m*16,000+b

Using (12,000;1,400):

1,400=m*12,000+b

Subtracting both equations:

200=16,000m-12,000m

200=4,000m

Solving:

m=200/4,000=0.05

Using the first equation and the value of m:

1,600=0.05*16,000+b

1,600=800+b

Solving:

b=800

The equation is now complete:

y=0.05x+800

She sold $11,000 this month, so the payment is:

$y=0.05\cdot 11,000+800$

Y=550+800=1,350

She will be paid $1,350

3 0

3 years ago

Write a function rule for the area of a triangle whose base is 4 ft more than the height. What is the area of the triangle when

solong [7]

Answer:

A) Area as function of H ,

F'(a) = 2 +H

B) Area of triangle with height 6ft = 30 ft²

Step-by-step explanation:

Given as for a triangle ,

Let the height of triangle = H ft

And base = 4 ft + H ft

Now area of triangle = $\frac{1}{2}$ × height × base

F (a) = $\frac{1}{2}$ × H × ( 4ft + H ft)

Or, F (a) = $\frac{1}{2}$ × ( 4H + H² )

Now, here Area is function of height ,

So , F'(a) = $\frac{1}{2}$ (4 + 2H)

Hence Area as function of H ,

F'(a) = 2 +H

Now For height = 6 ft

Area of triangle = $\frac{1}{2}$ × height × base

= $\frac{1}{2}$ × H × ( 4ft + H ft)

= $\frac{1}{2}$ × ( 4H + H² )

= $\frac{1}{2}$ × ( 24 + 36 )

= $\frac{1}{2}$ × ( 60 )

= 30 ft²

Hence Area of triangle with height 6ft = 30 ft² Answer

6 0

3 years ago

Alonzo and miguel scored a total of 40 points in the basketball game.miguel scored four more points than twice alonzo's score .H

elena-14-01-66 [18.8K]

I can tell you that you have to multiply Alonzo score by 16

8 0

3 years ago

'Quiz: Math Review Quiz

pentagon [3]

Answer:

The tax rate is 4.3%

Step-by-step explanation:

First, we have to assume $2.79 is 100%. We know that x% equals 0.12 of the output value. Now we have two simple equations: 100%=2.79 and x%=0.12.

Then, 100%/x%=2.27/0.12 and that gives us 4.3%!

Hope this helps.

8 0

3 years ago