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sweet-ann [11.9K]
3 years ago
9

Caleb's goal is to find a job that provides an income of at least $70,000 a year. Vanessa's Furniture offers him a job paying a

base salary of $13,000 a year, plus a commission of 4% of his sales. Determine what Caleb's total sales will need to be for him to have a yearly income greater than or equal to $70,000. If Caleb takes the job with Vanessa's Furniture, he will need to have at least $ in total sales to have a yearly income greater than or equal to $70,000 per year
Mathematics
1 answer:
Lilit [14]3 years ago
5 0
70,000 - 13,000 = 57,000 commission money required
sales required = 57,000 / .04 = <span><span><span>$ 1,425,000 </span>

</span> </span>
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In how many ways can a subcommittee of 6 students be chosen from a committee which consists of 10 senior members and 12 junior m
givi [52]

Answer:

The number of ways is 13860 ways

Step-by-step explanation:

Given

Senior Members = 10

Junior Members = 12

Required

Number of ways of selecting 6 students students

The question lay emphasis on the keyword selection; this implies combination

From the question, we understand that

<em>4 students are to be selected from senior members while 2 from junior members;</em>

The number of ways is calculated as thus;

<em>Ways = Ways of Selecting Senior Members * Ways of Selecting Junior Members</em>

<em />Ways = ^{10}C_4 * ^{12}C2

Ways = \frac{10!}{(10-4)!4!)} * \frac{12!}{(12-2)!2!)}

Ways = \frac{10!}{(6)!4!)} * \frac{12!}{(10)!2!)}

Ways = \frac{10 * 9 * 8 * 7 *6!}{(6! * 4*3*2*1)} * \frac{12*11*10!}{(10!*2*1)}

Ways = \frac{10 * 9 * 8 * 7}{4*3*2*1} * \frac{12*11}{2*1}

Ways = \frac{5040}{24} * \frac{132}{2}

Ways = 210 * 66

Ways = 13860

<em>Hence, the number of ways is 13860 ways</em>

7 0
3 years ago
The graph shows the growth of a tree, with x representing the number of years since it was planted, and y representing the tree’
k0ka [10]

Answer:

The tree was 40 in tall when planted

The tree's growth rate is 10in per year

Ten years after Planting, it is 140 inches tall

Step-by-step explanation:

original(slope intercept form) : y = 10x + 40

y = 10(10) + 40

y = 100 + 40

y = 40

8 0
3 years ago
Read 2 more answers
Point H is the midpoint of FG. What is the value of y?
Delicious77 [7]

The value of y is 17/5.

<h3>What is Midpoint?</h3>

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,

M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Given that H is the midpoint of FG

G(4x, 6y + 6), H(4, 15)  and F(2y+2, 2x+4)

⇒ (4x+2y+2)/2 = 4  and (6y+6+2x+4)/2 = 15

⇒ (4x+2y+2) = 8  and (2x+6y+10) = 30

⇒ 4x+2y = 6  and 2x+6y = 20

⇒ 2x+y = 3  and x+3y = 10

⇒ x = 10 - 3y

Substitute the value of x into 2x+y = 3

⇒ 2(10 - 3y) +y = 3

⇒ 20 - 6y +y = 3

⇒ 5y = 17

⇒ y = 17/5

Learn more about the midpoint here :

brainly.com/question/5127660

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8 0
1 year ago
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So a man goes to sleep at 8 am and wakes up on the following day and wakes up at 1 am. can you tell me what happened?
Nata [24]

Answer:

He was on an airplane.

Step-by-step explanation:

Hope I helped!

Please mark Brainliest!!!

5 0
3 years ago
Plz answer quick ..........
ira [324]

Answer:

Shade the first row (the row of three) going down.

Step-by-step explanation:

There are 6 rows. One of six rows would be the first row.

5 0
3 years ago
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