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SOVA2 [1]
3 years ago
9

Ari and his 3 brothers want to take a school trip to Washington, D.C. They have $320 saved. Each of them will save $18 a week un

til they have at least $647 to pay for the trip. How much money will they save after 4 weeks? Will they have enough money to pay for the trip?
Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

Answer:

$392.  No they don't have enough money to pay for the trip.

They need $255 more dollars, which would take 14 weeks and 2 days.

Step-by-step explanation:

18 x 4 = 72

320 + 72 = 392

647 - 392 = 255

255/18 = 14.2

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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
3 years ago
The cost price of bicycle a is $620. The shopkeeper sells it and makes a profit of
Romashka [77]

Answer:

$341 the selling price

Step-by-step explanation:

Cost $620

$620-45% ($279 profit)

$620-$279=$341 should be the selling price

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Answer: I had this question on test I put D

I haven’t gotten it graded

Step-by-step explanation:

7 0
3 years ago
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Answer:

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