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Triss [41]
2 years ago
10

What is the rate of change of y=-4/9x+5

Mathematics
1 answer:
WARRIOR [948]2 years ago
8 0

Answer:

Rate of change of y is -  \frac{4}{9}

Step-by-step explanation:

y =  -  \frac{4}{9} x + 5 \\  \\ differentiating \: with \: respect \: to \: x \\  \\  \frac{dy}{dx}  =  -  \frac{4}{9} \frac{d}{dx} x +  \frac{d}{dx} 5 \\  \\  \frac{dy}{dx}  =  -  \frac{4}{9} .1 +  0 \\  \\  \huge \red{\frac{dy}{dx}  =  -  \frac{4}{9} } \\  \\ rate \: of \: change \: of \: y =-  \frac{4}{9}

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Answer:

Step-by-step explanation:

-4 is negative 4 witch is less then 4. -4 +4 =0

4 0
3 years ago
Read 2 more answers
Desmond deposits $50 into a savings account every month at an annual interest rate of
joja [24]

Given:

Desmond deposits $ 50 monthly.

Yearly he deposits = $50×12 = $ 600

Rate of interest compounded monthly = 4.7%

To find the amount he will receive after 10 years and the rate of change the value of his account after 10 years.

Formula

A = P(1+\frac{r}{(n)(100)} )^{nt}

where,

A be the final amount

P be the principal

r be the rate of interest

t be the time and

n be the number of times the interest is compounded.

Now,

Taking,

P = 600, r = 4.7, n = 12, t = 10 we get,

A = 600(1+\frac{4.7}{(12)(100)}) ^{(12)(10)}

or, A = 600(1.0039)^{120}

or, A = 959.1

Now,

At starting he has $ 600

At the end of 10 years he will be having $ 959.1

So,

The amount of change in his account = $ (959.1-600) = $ 359.1

Therefore the rate of change = (\frac{359.1}{600} )(100) %

= 59.85%

Hence,

a) His account will contain $ 959.1 after 10 years.

b) The rate of change in his account is 59.85% after 10 years.

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3 years ago
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masya89 [10]
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The attached image shows an obtuse-angled triangle. We can note that measure ∠B is greater than 90°

Hope this helps :)

7 0
3 years ago
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