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zepelin [54]
3 years ago
7

enton is shopping for clothes during a special event. He pays $24.99 for a pair of jeans and $5.25 for a clearance-priced shirt.

He also pays $10 for a belt. How much does Kenton pay for his clothes?
Mathematics
1 answer:
Marianna [84]3 years ago
7 0

Answer$18.12

Step-by-step explanation:

24.99+5.25-12.12=$18.12

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If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.
Snezhnost [94]

You can try to show this by induction:

• According to the given closed form, we have S_1=3\times2^{1-1}+2(-1)^1=3-2=1, which agrees with the initial value <em>S</em>₁ = 1.

• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. In particular, we assume

S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}

and

S_k=3\times2^{k-1}+2(-1)^k

We want to then use this assumption to show the closed form is correct for <em>n</em> = <em>k</em> + 1, or

S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}

From the given recurrence, we know

S_{k+1}=S_k+2S_{k-1}

so that

S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)

S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}

S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)

S_{k+1}=3\times2^k-2(-1)^k

S_{k+1}=3\times2^k+2(-1)(-1)^k

\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}

which is what we needed. QED

6 0
3 years ago
Will give Brainliest! if right!
Soloha48 [4]
D. 4/5. Just have to figure out what is left. so 5/5-1/5=4/5
7 0
3 years ago
The points (-1.6, 2.7) and (3.2, 7.98) are on the graph of a linear relationship between two variables, r and y.
Aleksandr [31]

Answer:

  y = 1.1x +4.46

  y = 129.86 for x = 114

Step-by-step explanation:

The two-point form of the the equation for a line is useful for this.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (7.98 -2.7)/(3.2 -(-1.6))(x -(-1.6)) + 2.7

  y = 5.28/4.8(x +1.6) + 2.7

  y = 1.1x +1.76 +2.7

  y = 1.1x +4.46

__

When x=114, the value of y is ...

  y = 1.1(114) +4.46

  y = 129.86

6 0
3 years ago
Select the correct answer.
Anastaziya [24]

Answer:

yo

Step-by-step explanation:

8 0
3 years ago
I know its summer and everyone done with school but someone help ​
Gemiola [76]

Answer:

1.55

Step-by-step explanation:

3750+900 = 4650

4650/3000 = 1.55

7 0
3 years ago
Read 2 more answers
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