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Thepotemich [5.8K]
3 years ago
15

Write the rule for this pattern:2,4,7,14,17,34

Mathematics
1 answer:
Masja [62]3 years ago
6 0

Answer:

The rule is x₁ = 2   x₂ = x₁ * 2    x₃ = x₂ + 3    x₄ = x₃ * 2    x₅ = x₄ + 3 ...

Step-by-step explanation:

Unable to use a single equation to define this sequence

The rule is x₁ = 2   x₂ = x₁ * 2    x₃ = x₂ + 3    x₄ = x₃ * 2    x₅ = x₄ + 3 ...

Multiply 2 then Plus 3 then multiply 2 then plus 3 ......

2,4,7,14,17,34, 37, 74, 77, 154....

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Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value
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Answer:

Minimum value of function C=x+10y is 63 occurs at point (3,6).

Step-by-step explanation:

To minimize :

                                   C=x+10y

Subject to constraints:

                                   x\leq 3---(1)\\y\leq 9---(2)\\x+y\geq 9----(3)\\x\geq 0\\y\geq 0

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line

Eq (2) is in green in figure attached and region satisfying (2) is below the green line

Considering x+y\geq 9, corresponding coordinates point to draw line are (0,9) and (9,0).

Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line

Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)

Now calculate the value of function to be minimized at each of these points.

                                    C=x+10y

at A(0,9)

                                     C=0+10(9)\\C=90

at B(3,9)

                                     C=3+10(9)\\C=93

at C(3,6)

                                     C=3+10(6)\\C=63

Minimum value of function C=x+10y is 63 occurs at point C (3,6).

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We know that there are 4 quarters in 1 year.

So to find that equivalent quarterly we will divide given yearly rate by number of quarters.

That means divide 7% by 4.

which gives 1.75%.

But that is different than Chan's though of 2% quarterly interest.

Hence Chan is wrong.

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