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Fiesta28 [93]
3 years ago
13

The table below shows the sale, in dollars, at Jacobs store over a period of five months:

Mathematics
2 answers:
Afina-wow [57]3 years ago
7 0

Solution:

The table which is depiction of monthly sale in Dollars over a period of 5 months:

1. 1,000------(1)

2. 1,050--------(2)

3. 1,102.50-----(3)

4. 1,157.63--------(4)

5. 1,215.51----------(5)

As we know slope of line joining two points (p,q) and (a,b) is :

   \frac{b-q}{a-p}

Slope between point 1 and point 2 is = 50-------a

Slope between point 2 and point 3 is = 52.50-------b

Slope between point 3 and point 4 is = 55.13---------c

Slope between point 4 and point 5 is = 57.88----------d

b= a + 2.50, c= b+2.63, d=c+2.75

% between two months =\frac{\text{Coming  month-Previous month}}{Previous Month} \times100

% increase between first two months=5%

% increase between Second and third month =5%

% increase between third and fourth month =Less than 5%

As you can see from above observation , first three options A,B,C are incorrect.

Option (D) Exponentially, table shows and increase in sales for an equal increase in months, Satisfies the above condition.



lozanna [386]3 years ago
4 0
The answer is B) Exponentially, shows a constant percentage in sales per month
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Drupady [299]
Where S is sales price,
S = .75d

You said which expression CANNOT be used, but I assume you mean can. Let me know if you didn’t.
3 0
3 years ago
72
Zigmanuir [339]

Answer:

Ai. Arithmetic sequence

Aii. Tn = 5 + 7n

Bi. Geometric

Bii. Tn = 8 × 2ⁿ¯¹

Step-by-step explanation:

To successfully answer the questions given above, note the following:

1. If the sequence is Arithmetic, then:

2nd – 1st = 3rd – 2nd = common difference (d)

2. If the sequence is geometric, then,

2nd / 1st = 3rd / 2nd = common ratio (r)

3. A sequence can not be arithmetic geometric at the same time.

4. The nth term of arithmetic sequence is:

Tn = a + (n – 1)d

5. The nth term of geometric sequence is:

Tn = arⁿ¯¹

A. Sequence => 12, 19, 26

i. Determination of the type of sequence.

We'll begin by calculating the common difference

1st term = 12

2nd term = 19

3rd term = 26

Common difference (d) = 2nd – 1st

d = 19 – 12 = 7

OR

d = 3rd – 2nd

d = 26 – 19 = 7

Since a common difference exist in the sequence, the sequence is arithmetic sequence.

ii. Determination of the nth term.

Common difference (d) = 7

1st term (a) = 12

nth term (Tn) =?

Tn = a + (n – 1)d

Tn = 12 + (n – 1)7

Tn = 12 + 7n – 7

Tn = 5 + 7n

B. Sequence => 8, 16, 32

Bi. Determination of the type of sequence.

Let us begin by calculating the common ratio.

1st term = 8

2nd term = 16

3rd term = 32

Common ratio (r) = 2nd / 1st

r = 16 / 8

r = 2

OR

r = 3rd / 2nd

r = 32 / 16

r = 2

Since a common ratio exist in the sequence, the sequence is geometric.

Bii. Determination of the nth term.

Common ratio(r) = 2

1st term (a) = 8

nth term =?

Tn = arⁿ¯¹

Tn = 8 × 2ⁿ¯¹

8 0
2 years ago
A transformation T: (x, y) (x + 3, y + 1). For the ordered pair (4, 3), enter its preimage point. (-1, 2) (1, 2) (7, 4)
Aleksandr-060686 [28]

Answer:

(1,2)

Step-by-step explanation:

we know that

The rule of the transformation is equal to

(x, y)  ------> (x + 3, y + 1)

Pre-image -----> Image

(x, y)  ------> (4, 3)

so

x+3=4 ----> x=4-3=1

y+1=3 ---> y=3-1=2

therefore

The pre-image is the point (1,2)

6 0
3 years ago
PLS HELP: A box is 9 inches wide, 3 inches long, and 12 inches high. It is completely filled with blocks that are each 1 cubie i
LekaFEV [45]

Answer: 304

Step-by-step explanation: first you multiply 9, 3, and 12 which equals 324. Then you subtract 20 from 324 and you get 304.

3 0
3 years ago
Is the function Quadratic?<br> x 1 2 3 4 5<br> y 0 3 8 15 24<br><br> No<br><br> Yes
nevsk [136]
The answer is No.................
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