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Korvikt [17]
3 years ago
13

An initial amount of 180 grows at a rate of 22% every month. Write an exponential equation for the amount y after x months

Mathematics
1 answer:
il63 [147K]3 years ago
6 0

Answer:

An initial amount of 180 grows at a rate of 22% every month.

=> The equation for the amount y after x months:

y = 180 x (1 + 22/100)^x

 

Hope this helps!

:)

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When 8 is subtracted from Ollie’s age, the result is the same as subtracting 16 from 3 times his age.
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X - Ollie's age

8 is subtracted from Ollie's age = x-8
the result is the same as
subtracting 16 from 3 times his age = 3x-16

x-8=3x-16 \\
x-3x=-16+8 \\
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x=4

Ollie is 4 years old.
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What is the product of 4/10 and 2/3?
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4/10 multiplied to 2/3 is 4/15.
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the conference room of a hotel measures 40 ft by 50 ft has a 12-foot ceiling what is the area of the walls​
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5 0
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evaluate the line integral ∫cf⋅dr, where f(x,y,z)=5xi−yj+zk and c is given by the vector function r(t)=⟨sint,cost,t⟩, 0≤t≤3π/2.
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We have

\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} \vec f(\vec r(t)) \cdot \dfrac{d\vec r}{dt} \, dt

and

\vec f(\vec r(t)) = 5\sin(t) \, \vec\imath - \cos(t) \, \vec\jmath + t \, \vec k

\vec r(t) = \sin(t)\,\vec\imath + \cos(t)\,\vec\jmath + t\,\vec k \implies \dfrac{d\vec r}{dt} = \cos(t) \, \vec\imath - \sin(t) \, \vec\jmath + \vec k

so the line integral is equilvalent to

\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (5\sin(t) \cos(t) + \sin(t)\cos(t) + t) \, dt

\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (6\sin(t) \cos(t) + t) \, dt

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7 0
2 years ago
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