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3 years ago

6

Round 4,386 to the nearest hundred

2 answers:

Aleksandr [31]3 years ago

8 0

Answer and Step-by-step explanation:

Anytime that you are rounding a number, there is a rule that you should follow:

"Anything 1 - 4 is closest to the number before, or the lower side. Anything 5 - 9 is closest to the higher side of whatever round you are trying to get to."

If that doesn't make sense, let me explain.

In this case, we need to look at the hundreds placement, which is the 3 in this situation. But we can't look at that, because then we would be rounding to the nearest thousand.

(Important:) So, we need to look at the number behind it, which is 8. Eight is on the higher side of 5 - 9, which means that it grants us permission to round to the next hundred.

The is: 4,400.

I hope this helps.

professor190 [17]3 years ago

6 0

Answer:

4,400 :)

Step-by-step explanation:

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The total cost (in dollars) of producing x food processors is C(x) = 2500 + 50x -0.28.

Darya [45]

Answer:

The exact cost of producing the 21st food processor is $38.52.

The marginal cost to approximate the cost of producing the 21st food processor is $38.24

Step-by-step explanation:

Consider the provided function.

$C(x) = 2500 + 50x -0.28x^2$

(A) Find the exact cost of producing the 21st food processor

The exact cost producing 21st food processor is C(21)-C(20)

Substitute x=21 in above function.

$C(x) = 2500 + 50(21) -0.28(21)^2$

$C(x) = 2500 +1050 -123.48$

$C(x) = 3426.52$

Substitute x=20 in above function.

$C(x) = 2500 + 50(20) -0.28(20)^2$

$C(x) = 2500 +1000-112$

$C(x) = 3388$

The exact cost producing is:

$C(21)-C(20)=3426.52-3388=38.52$

Hence, the exact cost of producing the 21st food processor is $38.52.

Part (B) Use the marginal cost to approximate the cost of producing the 21st food processor,

To find the marginal cost first differentiate the function with respect to x.

$C(x) = 2500 + 50x -0.28x^2$

$C'(x) =50-0.56x$

Now substitute x=21 in above function.

$C'(x) =50-0.56(21)$

$C'(x) =50-11.76$

$C'(x) =38.24$

The marginal cost to approximate the cost of producing the 21st food processor is $38.24

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