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3 years ago

Which pair of expressions is equivalent using the Associative Property of Multiplication?

1 answer:

7 0

Answer is 5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4 (second one) ...this one is using Associative Property of Multiplication

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Your service contract for washer repair maintenance is offered at $48 per year. If a customer wants to pay it off in equal month

Anna35 [415]

Answer:

$4.72 per month

Step-by-step explanation:

The true interest rate is how much more he has to give with interest.

Let's find the interest on $48 first.

Let's convert 18% to decimal, that is:

18/100 = 0.18

Now, to find 18% of $48, we multiply, so,

Interest = $48 * 0.18 = $8.64

In total, he has to pay:

48 + 8.64 = $56.64

This is spread over 12 months (since he has to pay in 1 year), so each month payment would be:

56.64/12 = $4.72 per month

7 0

3 years ago

A group of hikers walks 3 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final des

geniusboy [140]

Answer:

The vector that describes their hike from their starting position to their final destination is $\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]$ .

Step-by-step explanation:

In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:

(i) A group of hikers walks 3 miles east and then 1 mile north:

$\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi]$

(ii) After taking a break, they then hike 4 miles east to their final destination:

$\vec r_{B} = 4\,\hat{i}\,\,\,[mi]$

The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:

$\vec r = \vec r_{A}+\vec r_{B}$ (1)

$\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi]$

$\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]$

The vector that describes their hike from their starting position to their final destination is $\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]$ .

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3 years ago

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Reptile [31]

Answer:

Step-by-step explanation: A

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Answer:

Presents

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Sonja [21]

Answer:

90 km an hour.

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