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Inga [223]
3 years ago
13

What are the first four solutions to the sequence: f(1) = 4 and f(n) = 2*f(n-1)+3

Mathematics
1 answer:
Marrrta [24]3 years ago
8 0
F(1) = 4 is given


f(2) = 2*f(2-1)+3
= 2*f(1)+3
= 2*4+3
= 8+3
= 11
f(3) = 2*f(3-1)+3
= 2*f(2)+3
= 2*11+3
= 22+3
= 25
f(4) = 2*f(4-1)+3
= 2*f(3)+3
= 2*25+3
= 50+3
= 53
f(5) = 2*f(5-1)+3
= 2*f(4)+3
= 2*53+3
= 106+3
= 109

f(1) = 4
f(2) = 11
f(3) = 25
f(4) = 53
f(5) = 109
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A circle had a sector with area 33pi and central angle of 11/6pi radians
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Answer:

The area of the circle is 36\pi\ units^{2}

Step-by-step explanation:

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6 (x-6) = -3 (-x + 3)
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You have to distribute!
6(x) = 6x and 6(-6)=-36
So now you have 6x-36=-3(-x+3)
Now do the same on the other side.
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Combine the like terms:
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6x-3x=3x
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5 0
4 years ago
If the sales tax rate is $8.25 per $100.00.What is the sales tax if the sale amount is $54.80?
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Answer: $4.52

Step-by-step explanation:

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Step 2: write the equation as;

8.25 = $100

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Step 3: determine the sales tax on $1 item, that is if sales tax $1 item = $0.0825

Sales tax for $54.80 item will be 0.0825 x 54.80

= $4.52

7 0
3 years ago
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