trisha standford earns $300 a week plus a 15% commission only on sales she makes after her first $1,000 in sales if ms standfords sales for one week are $2,500 what is her gross pay for that week

Answers

Answer 1
Answer:

Answer:

Her gross pay for that week=$525

Step-by-step explanation:

Step 1: Express the gross pay

The gross pay can be expressed as follows;

A=F+(R×T)

where;

A=the gross pay per week

F=fixed income per week

R=commission rate

T=total commission sales

In our case;

F=$300 a week

R=15%=15/100=0.15

T=(2,500-1,000)=$1,500

replacing;

A=300+(15% of 1,500)

A=300+(0.15×1,500)

A=300+225=525

A=$525

Her gross pay for that week=$525


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Yancey collects plastic banks .He has three different banks: a pig, a cow, and a horse. How many ways can Yancey arrange his banks on a shelf.

Answers


let h = horse, let c = cow, let p = pig

so,

hcp

hpc

cph

chp

phc

pch

so, that is 6 different ways she can arrange it.  

pig, cow, horse

pig, horse, cow

horse, pig, cow

horse, cow, pig

cow, pig, horse

cow, horse, pig

there are three people who work full-time and are to work together on a project but their total time on the project is to be equivalent to that of only one person working full-time if one of the people is budgeted for one-half of his time to the project and a second person for one third of her time what part of the third workers time should be budgeted to this project

Answers

This would be:
1 - (1)/(2) - (1)/(3)

Using common denominator of 6:
(6)/(6)- (3)/(6)- (2)/(6) = (1)/(6)

They should use (1)/(6) of their time.  

a rectangular lawn has a perimeter of 36 meters and a circular exercise run has a circumference of 36 meters which shape will give rico´s dog more area to run?

Answers

The shape is a rectangle lawn

Final answer:

The circular exercise run provides more area for Rico's dog to run than the rectangular lawn. This is determined by calculating the maximum possible area for a rectangle with a perimeter of 36 meters and a circle with a circumference of 36 meters.

Explanation:

To answer which shape will give Rico's dog more area to run, we need to calculate the areas of the given shapes - a rectangle and a circle - using their respective perimeters/circumferences.

For a rectangle with a perimeter of 36 meters, one plausible dimension could be a rectangle with a length of 10 meters and a width of 8 meters, giving an area of 80 square meters assuming the shape is a square. (This gives the maximum area for a given perimeter).

The circumference of a circle is given by the formula 2πr, where r is the radius of the circle. If the circumference is 36 meters, then the radius would be 36/(2π) ≈ 5.73 meters. The area of this circle would then be πr², approximately 103.07 square meters.

In conclusion, the circle will offer more area for Rico's dog to run, despite the rectangular lawn and circular exercise run having the same perimeter and circumference lengths respectively.

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What is the first step when rewriting y = –4x2 + 2x – 7 in the form y = a(x – h)2 + k?A.2 must be factored from 2x – 7

B.–4 must be factored from –4x2 + 2x

C.x must be factored from –4x2 + 2x

D.–4 must be factored from –4x2 – 7

Answers

complete the square

first, the coeieicne infront of x^2 term musbe 1
so if you have
y=ax^2+bx+c
isolate x terms and undistribute a
y=a(x^2+(b/a)x)+c

B is answer

Answer:

B

Step-by-step explanation:

Right on Edge

For a standard normal distribution, which of the following expressions must always be equal to 1?A) P(z≤-a)-P(-a≤z≤a)+P(z≥a)
B) P(z≤-a)-P(-a≤z≤a)+P(z≥a)
C) P(z≤-a)+P(-a≤z≤a)-P(z≥a)
D) P(z≤-a)+P(-a≤z≤a)+P(Z≥a)

Answers

P(z ≤ -a) + P(-a ≤ z ≤ a) + P(z ≥ a) = 1 - P(z ≤ a) + [P(z ≤ a) - P(z ≤ -a)] + 1 - P(z ≤ a) = 2 - 2P(z ≤ a) + P(z ≤ a) - [1 - P(z ≤ a)] = 2 - P(z ≤ a) - 1 + P(z ≤ a) = 1

Therefore, option D is the correct answer.

Answer:

D. P(z\le -a)+P(-a\le z\le a)+P(z\ge a)

Step-by-step explanation:

Properties of normal distribution-

  1. The normal curve is symmetrical about the mean (μ).
  2. The mean is at the middle of the graph and it divides the area into two equal halves.
  3. The total area under the curve is equal to 1.

The total area under the curve can be divided into parts like,

  1. area below -a, i.e z\le -a,
  2. area between -a to a, i.e -a\le z\le a
  3. area above a, i.e z\ge a

Therefore, P(z\le -a)+P(-a\le z\le a)+P(z\ge a)=1

An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How long would it take the apprentice working alone?

Answers

We are required to calculate the number of days it would take the apprentice working alone

The number of days it takes the apprentice working alone is 6 days

let

Number of days taken for the carpenter to work alone = x

Number of days taken by the apprentice to work alone = 2x

Number of days taken to work together = 2 days

Work done per day Carpenter = 1/x

work done per day apprentice = 1/2x

work done per day together = 1/2

So,

work done per day together = Work done per day Carpenter + work done per day apprentice

1/2 = 1/x + 1/2x

1/2 = (2 + 1) / 2x

1/2 = 3/2x

cross product

1(2x) = 2(3)

2x = 6

x = 6/2

x = 3 days

Therefore,

Number of days taken by the apprentice to work alone = 2x

= 2(3)

= 6 days

Read more:

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Answer:

6 days

Step-by-step explanation:

Let the time taken by Carpenter working alone = C days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2C days

Time taken working together = 2 days

Work done in one day working together = (1)/(2)

Work done in one day by Carpenter working alone = (1)/(C)

Work done in one day by apprentice working alone = (1)/(2C)

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =  (1)/(C)+(1)/(2C) = Work done in one day working together = (1)/(2)

(1)/(C)+(1)/(2C)=(1)/(2)\n\Rightarrow (2+1)/(2C)=(1)/(2)\n\Rightarrow C = 3\ days

Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 * 2= 6 days