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Alexxandr [17]
3 years ago
5

The table below shows the amount of money, in hundreds of dollars, Cora has saved after different numbers of years:

Mathematics
2 answers:
Natalija [7]3 years ago
5 0
D. y = 10x, in 8 years she will have saved $8,000.
Since every year Cora saves $1,000. So $1,000 × 8 = $8,000.
Tasya [4]3 years ago
4 0

Answer:

Hence, option (d) is correct.

Step-by-step explanation:

We are given a table for the amount of money, in hundreds of dollars,

Cora has saved after different numbers of years:

       <u> Years(x)</u>                     <u>Money(y)(hundreds of dollars)</u>

            1                                 10

            2                                20

            3                                30

            4                                40

            5                                50

            6                                 60

Clearly from the set of values in the table we see that the money is a function of years as: y=10x.

Hence Cora's savings and the amount that Cora will have saved in 8 years is given by the function y=10x and hence she will have saved $8,000.

Hence, option (d) is correct.


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After substituting, what is the first step when evaluating 4y+9/7 when y=8
kenny6666 [7]

Answer:

  multiply 4 and 8 to get 32

Step-by-step explanation:

After substituting, the expression is ...

  4·8 +9/7

The order of operations tells you to do multiplication and division before addition and subtraction. You do them left-to-right. The multiplication on the left is 4·8, so you do that first. The result is ...

  32 + 9/7

Now, you can do the division:

  32 + (1 2/7)

And, finally, the addition:

  33 2/7

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Or, you could skip the division and go straight to adding a whole number and a fraction:

  (32·7 +9)/7 = (224+9)/7 = 233/7

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3 years ago
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4 0
2 years ago
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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
The graph below shows the solution to a system of inequalities: Solid line joining ordered pairs 0, 3.75 and 15, 0. Shade the po
algol [13]
(0,3.75)(15,0)
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y = mx + b
slope(m) = -1/4
(15,0)...x = 15 and y = 0
now we sub
0 = -1/4(15) + b
0 = -15/4 + b
15/4 = b

y = -1/4x + 15/4
1/4x + y = 15/4....multiply by 4
x + 4y = 15.....and since it is a solid line, it contains an equal sign...and since it is shaded above the line, it is greater.
so ur inequality is : x + 4y > = 15 (thats greater then or equal)
4 0
3 years ago
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