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never [62]
2 years ago
11

Sam opened a restaurant. On the first day he had 100 customers. On the fourth day he had 160 customers. If the number of custome

rs per day grew linearly, what was the number of customers on the second day?
Mathematics
1 answer:
IRISSAK [1]2 years ago
3 0

Answer:

120 customers on the 2nd day

Step-by-step explanation:

100/1ST DAY

120/2nd day

140/3rd day

160/ 4TH DAY

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200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?
ziro4ka [17]

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

#SPJ4

6 0
1 year ago
A bike was recently marked down $200.00 from its initial price. if you have a coupon for an additional 30% off after the markdow
love history [14]
Should be 525$ if I'm correct
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2 years ago
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Avani is building a rectangular play area. The length of the play area is 7.5 meters. The width of the play area is 5.3 meters.
Sidana [21]

area = L x W

 area = 7.5 x 5.3 = 39.75 square feet of foam

 

4 0
3 years ago
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What is 22 lb day in oz h?
yarga [219]
One pound is 16 oz. just multiply 22 by 16 and boom, there's your answer
3 0
2 years ago
A road is made in such a way that the center of the road is higher off the ground than the sides of the road, in order to allow
Jet001 [13]

Remark.

The problem is a bit indistinct. Where exactly are the two edges of the road? I'm going to say that they are the x intercepts, but that may not be true. Certainly it does not have to be true at all.


Graph.

A graph has been made for you. The maximum is marked for you. It is an approximation The actual height can be more accurately found.


Height

y = (-1/200)(x - 16)(x + 16)

y = (-1/200)*(x^2 - 256)


The maximum height for this graph only is when x = 0.Other graphs require completing the square.


y = (-1/200) * (-256)

y = 1.28 exactly. I thought the graph might be rounding the answer. It is not.

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3 years ago
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