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Free_Kalibri [48]

3 years ago

5

Pears cost $0.92 per pound and apples cost $1.10 per pound. mr.Bonilla bought 3.75 pounds of pairs and 2.1 pounds of apples how

much did they pay for the pears and apples

1 answer:

eimsori [14]3 years ago

4 0

Answer:

$5.76

Step-by-step explanation:

Total price for 3.75 pounds of pears:

$0.92(3.75) = $3.45$

Total price for 2.10 pounds of pears:

$1.10(2.10) = $2.31$

Total Price:

$$2.31 + $3.45 = $5.76$

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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:

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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

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

which is what we needed. QED

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2 years ago

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8 0

3 years ago

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solong [7]

$2.50 was left for each person.

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3 years ago

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Answer:

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Here, a type I error involves declaring the water is safe when it is not safe. A test which ensures that this error is highly unlikely is desirable because this is a very serious error. We prefer that the most serious error be a type I error because it can be explicitly controlled.

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