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3 years ago

8

Our budget plan averages customer’s annual cost and gives them a monthly budget bill to reduce the high’s and low’s throughout t

he year. If a customer’s annual cost is $1,200, what would their monthly budget amount be?

1 answer:

Gemiola [76]3 years ago

5 0

Answer:

$ 100

Step-by-step explanation:

Annual budget is $ 1200

Monthly budget would be $ 1200/12= $ 100

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50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

C)

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0

3 years ago

Jaysonn buys a car and pays by installments. Each installment is $567 per month. After 48 months , Jayson owes $1,250. What was

pogonyaev

Multiply her monthly payment by the number of months she paid so far:

567 x 48 = 27,216 paid so far.

Now add the amount she still owes:

27,216 + 1,250 = $28,466 total price.

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3 years ago

40 percent of what number equals 19.2

worty [1.4K]

You can get the number by dividing 19.2 by 0.40

The number is 19.2/0.40 = 48

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3 years ago

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Graph this function:<br> y = 3x + 4

Zinaida [17]

Answer:

(0,−4)

Step-by-step explanation:

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3 years ago

Sarah put beans plants by a window with sunlight. She watered them every other day. Sarah measured the height of the plants afte

Dmitriy789 [7]

Centimeters because it's smaller

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3 years ago

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