2 years ago

Need help ASAP !!!!!!!!!!!!!!!!

Mathematics

1 answer:

klemol [59]2 years ago

3 0

Answer:

it blury put a better one pls

Step-by-step explanation:

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Write the exponential equation for this scenario. Mike buys a car for $45,000.00. The cars value depreciates (loses value) at a

gladu [14]

Answer:

$A=45000(0.82)^t$

Step-by-step explanation:

Given data

P= 45,000

rate= 18%

Recall the expression for the compound interest

$A=P(1+r)^t$

Since we are talking of depreciation

$A=P(1-r)^t$

Substitute

$A=45000(1-0.18)^t\\\\A=45000(0.82)^t$

Hence the exponential function is

$A=45000(0.82)^t$

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2 years ago

Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector

Feliz [49]

$f(x,y,z)=2z^2x+y^3$

$f$ has gradient

$\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k$

which at the point (-1, 4, 3) has a value of

$\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k$

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say $\vec u=15\,\vec\imath+25\,\vec\jmath$ , in which case we have

$\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}$

Then the derivative of $f$ at (-1, 4, 3) in the direction of $\vec u$ is

$D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}$

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2 years ago

Lalo has 1500 minutes per month on his cell phone plan. How many more minutes can he use if he has already talked for 785 minute

SVEN [57.7K]

1500 - 785 = 715
number of minutes per month - number of minutes used = number of minutes left.

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2 years ago

Someone helpppppppppppppp..... Worth 20 pointsssssss it's the last question and I've been confused for the past 2 hours Write yo

Vera_Pavlovna [14]

This is so easy dud. help is on the way

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2 years ago

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Which expression is equivalent to the following complex fraction? StartFraction 2 Over x EndFraction minus StartFraction 4 Over

aliina [53]

Answer:

its A

Step-by-step explanation:

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2 years ago