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3 years ago

Evaluate a b ÷ 2, if we know a = 3 and b = 6

Mathematics

2 answers:

ivolga24 [154]3 years ago

8 0

(ab)/2 = (3 * 6)/2 = 18/2 = 9

BlackZzzverrR [31]3 years ago

6 0

ab/2

Substitute a=3, & b=6

3*6/2 = 18/2 =9

So, 9 is your answer

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Anjali went to Citizens Bank and borrowed $7,000 at a rate of 8%. The date of the loan was September 20. Anjali hoped to repay t

Mkey [24]

From September 20 to January 20, there are 4 months only which is equivalent to 1/3 of a year. The interest earned by the investment, P, made is calculated
I = P x i x n
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3 years ago

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Answer:

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4 years ago

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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3 years ago

Hi! pls take some free points, just leave a happy note with yoilur reply! thanks have a nice day!

amm1812

thank u so much have a great day and i hope u do great in life <3

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3 years ago

which transformation causes the described change in the graph of the function y = cos x? the transformation results in a horizon

luda_lava [24]

The transformations that can occur to the graph of the function y = cos x that will exhibit changes would be changes to the angle, or changes to the coefficient. The transformations can be viewed as follows:

y = cos x transforms to y = cos (kx)

k > 1 ; a horizontal shrink occurs
0 < k < 1 ; a horizontal stretch occurs

y = cos x transforms to y = A cos x

|A| > 1 ; a vertical stretch occurs
|A| < 1 ; a vertical shrink occurs

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4 years ago