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maks197457 [2]
2 years ago
11

A robotics company sells robot vacuum cleaners. Since the newest model was introduced a

Mathematics
1 answer:
Svetach [21]2 years ago
4 0
Answer : 2,881.2 vacuum cleaners will be sold three months from now.

Steps:
8400*0.7=5880 -> 1 month from now (It’s 0.7 because it decreases by 30% so 70% will remain)
5880*0.7= 4116 -> 2 months from now
4116*0.7= 2881.2 -> 3 months from now


*note that this solution is based on the assumption that the 30% refers to it decreases by 30% of the previous months amount of vacuum cleaners sold, and not the amount of vacuum cleaners sold this month. If it were based on the amount of vacuum cleaners sold this month, the answer would be 840. (8400*0.1)



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Find the first four terms of the sequence given by the following.<br> aₙ=43-3(n-1) n=1,2,3. . .
Serggg [28]

Given :-

  • The general term of a sequence is given by aₙ=43-3(n-1) .

To Find :-

  • The first four terms of the sequence.

Solution :-

The given expression is /

→ aₙ=43-3(n-1)

where n > 0

<u>Finding</u><u> the</u><u> </u><u>first </u><u>term </u><u>:</u>

Substituting n = 1 , we have ,

→ T1 = 43 - 3(1-1)

→ T1 = 43 - 3*0

→ T1 = 43 - 0 = 43

<u>Finding</u><u> the</u><u> </u><u>second</u><u> </u><u>term </u><u>:</u>

Substituting n = 2 , we have,

→ T2 = 43 -3(2-1)

→ T2 = 43 -3*1

→ T2 = 43 -3 = 40

<u>Finding</u><u> </u><u>the </u><u>third </u><u>term</u><u> </u><u>:</u>

Substituting n = 3 , we have,

→ T3 = 43 -3(3-1)

→ T3 = 43 -3*2

→ T3 = 43 -6 = 37

<u>Finding</u><u> the</u><u> </u><u>fourth</u><u> </u><u>term </u><u>:</u>

→ T4 = 43 -3(4-1)

→ T4 = 43 -3*3

→ T4 = 43-9 = 34

<u>Hence</u><u> the</u><u> </u><u>first</u><u> </u><u>four</u><u> terms</u><u> of</u><u> </u><u>the</u><u> </u><u>sequence</u><u> </u><u>are </u><u>4</u><u>3</u><u> </u><u>,</u><u> </u><u>4</u><u>0</u><u> </u><u>,</u><u> </u><u>37</u><u> </u><u>and </u><u>34</u><u> </u><u>.</u>

<em>I </em><em>hope</em><em> this</em><em> helps</em><em> </em><em>.</em><em> </em><em>Let </em><em>me</em><em> know</em><em> if</em><em> you</em><em> </em><em>need </em><em>further</em><em> </em><em>clarification</em><em> </em><em>.</em>

7 0
2 years ago
Hey, could someone please help me with this? Thanks.
Novosadov [1.4K]

Answer:

Part A: 1. (1, 0.5) 2. (2, 1) 3. (3, 1.5) 4. (4, 2) 5. (5, 2.5) 6. (6, 3)

Part B: Yes, this relation is in fact a function.

Part C: No, it would not be a function.

Step-by-step explanation:

Part A: Well, you start at 1 hr. right? yes. So then, at the very beginning at the problem, it says the candle burns at the rate of 0.5 in. per hour. So for 1 hour, the candle will burn .5 inches. At 2 hours, it will burn off 1 whole inch.

Part B:  1 hr. = .5 in. burn,  2 hrs. = 1 in. burns,  3 hrs. = 1.5 in. burns,  4 hrs. = 2 in. burns,  5 hrs.= 2.5 in. burns, 6 hrs. = 3  in. burns.

Part C:  1 hr.= .45 in. burn, 2 hrs. = .9 in burn,  3 hrs. = 1.35 in. burns, 4 hrs. = 1.8 in. burns, 5 hrs. = 2.25 in. burns, 6 hrs. = 2.7 in. burns.    It does not go at a constant rate. The number of inches are all over the place.

Hope this helps you out!! (:

4 0
3 years ago
ILL MARK BRAINIEST IF YOU CAN HELP!!!
Norma-Jean [14]
The one that you have marked in the picture is right because you are taking away two hours and dividing 400 by s
3 0
3 years ago
I have no idea what im doing
omeli [17]

Answer:

  • x = - 6

Step-by-step explanation:

A hole is an input value that makes both numerator and denominator equal to zero.

<u>Let's factorize the numerator and denominator:</u>

  • 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
  • x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)

<u>We have same factor of x + 6:</u>

  • x + 6 = 0
  • x = - 6 is a hole
8 0
2 years ago
Emma and Kyle combine their eamings to pay their
guapka [62]
<h2>Hello!</h2>

The answer is:

The second option,

b.) C(x)=40.60x+201

<h2>Why?</h2>

We are given the functions E(x) and K(x), since they both are function of the same variable, we need to add them in order to find the correct option.

From the statement we know the functions:

E(x)=22.75x+74

and

K(x)=17.85x+127

So, adding the functions we have:

C(x)=E(x)+F(x)

C(x)=(22.75x+74)+(17.85x+127)

C(x)=22.75x+17.85x+74+127

C(x)=40.60x+201

Hence, the answer is the second option,

b.) C(x)=40.60x+201

Have a nice day!

6 0
3 years ago
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