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klio [65]
2 years ago
12

If the rate of inflation is 3.7% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following

exponential function, where t is the number of years from today.
p(t)=2000(1.037)^t
current price?
price 9 years from today?​
Mathematics
1 answer:
larisa86 [58]2 years ago
8 0

Answer:

50000000

Step-by-step explanation:

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Calculate the value of 3x + 4y when x = -6 and y = 5.
MArishka [77]

Answer:

x = -6

-18+4y=0 => 4y=18 =>y=18/4=9/2

Y=5

3x+20=0 => x=3x= -20=> x= -20/3

Step-by-step explanation:

5 0
3 years ago
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What is the location of the point on the number line that is of the way from
Sidana [21]

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c i think

Step-by-step explanation:

not sure

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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
2 years ago
Please help me idk this
Elodia [21]
Factors are: 0, 1, 2, 4, 8, 16
6 0
3 years ago
Read 2 more answers
How many times do 4896 go into 48?
EleoNora [17]
If you are asking how many times 48 goes into 4896 it is 102

4896÷48= 102

hopefully it helps ;)
4 0
3 years ago
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