What is 150% of 60? Select one: 90 30 9 40

(a) What is the actual cost incurred in producing the 1051st and the 2191st disc? (Round your answers to the nearest cent.)

Evgen [1.6K]

This question is incomplete, the complete question is;

The total weekly cost (in dollars) incurred by Lincoln Records in pressing x compact discs is given by the following function;

C(x) = 2000 + 2x -0.0001x² (0 ≤ x ≤ 6000) .

(a) What is the actual cost incurred in producing the 1051st and the 2191st disc? (Round your answers to the nearest cent.)

(b) What is the marginal cost when x = 1050 and 2190? (Round your answers to the nearest cent.)

Answer:

a)

Actual cost for 1051st disc is $1.79

Actual cost for 2191st disc is $1.56

b)

the marginal cost are;

C'(1050) = $1.79

C'(2190) = $1.56

Step-by-step explanation:

Given the data in the question;

C(x) = 2000 + 2x -0.0001x²

a)

What is the actual cost incurred in producing the 1051st and the 2191st disc? (Round your answers to the nearest cent.)

Actual cost for 1051st disc will be;

⇒ C(1051) - C(1050)

= [ 2000 + 2(1051) - 0.0001×(1051)²] - [ 2000 + 2(1050) - 0.0001×(1050)² ]

= [ 2000 + 2102 - 110.4601 ] - [ 2000 + 2100 - 110.25 =

= 3991.5399 - 3989.75

= $ 1.7899 ≈ $1.79

Actual cost for 2191st disc will be;

⇒ C(2191) - C(2190)

= [ 2000 + 2(2191) - 0.0001×(2191)²] - [ 2000 + 2(2190) - 0.0001×(2190)² ]

= [ 2000 + 4382 - 480.0481 ] - [ 2000 + 4380 - 479.61 ]

= 5901.9519 - 5900.39

= $ 1.5619 ≈ $1.56

Therefore,

Actual cost for 1051st disc is $1.79

Actual cost for 2191st disc is $1.56

b)

What is the marginal cost when x = 1050 and 2190? (Round your answers to the nearest cent.)

Marginal cost is; C'(x) = 2 - 0.0002x

so;

C'(1050) = 2 - 0.0002(1050) = 2 - 0.21 = $1.79

C'(2190) = 2 - 0.0002(2190) = 2 - 0.438 = $1.562 ≈ $1.56

Therefore; the marginal cost is;

C'(1050) = $1.79

C'(2190) = $1.56

3 0

3 years ago

Which is the correct simplified form of the expression ? (Will give brainiest)

andrey2020 [161]

Answer:

C

Step-by-step explanation:

6 0

3 years ago

A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation

Reika [66]

Answer:

0.8919 = 89.19% probability of filling a cup between 33 and 35 ounces.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces.

This means that $\mu = 29, \sigma = 4$

What is the probability of filling a cup between 33 and 35 ounces?

This is the p-value of Z when X = 35 subtracted by the p-value of Z when X = 33.

X = 35

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{35 - 29}{4}$

$Z = 1.5$

$Z = 1.5$ has a p-value of 0.9332.

X = 33

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{33 - 29}{4}$

$Z = 1$

$Z = 1$ has a p-value of 0.0413.

0.9332 - 0.0413 = 0.8919

0.8919 = 89.19% probability of filling a cup between 33 and 35 ounces.

6 0

3 years ago

To go to a beach party 600 yd away, you kayak against the ocean current for 2 h. The trip back takes 1 h. Write and solve a syst

Mice21 [21]

Answer: the paddling speed is 450 yards per hour.

The speed of the ocean current is 150 yards per hour.

Step-by-step explanation:

Let x represent the paddling speed.

Let y represent the speed of the ocean current.

To go to a beach party 600 yd away, you kayak against the ocean current for 2 h. This means that the total speed at which you kayaked is (x - y) yards per hour.

Distance = speed × time.

Distance travelled while going to the party is expressed as

600 = 2(x - y)

Dividing through by 2, it becomes

300 = x - y - - - - - - - - - - -1

The trip back takes 1 h. Assuming you traveled with the ocean current. The total speed at which you returned is (x + y) yards per hour. Distance travelled while going to the party is expressed as

600 = 1(x + y)

600 = x + y - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

900 = 2x

x = 900/2

x = 450 yards per hour

Substituting x = 450 into equation 2, it becomes

600 = 450 + y

y = 600 - 450

y = 150 yards per hour

8 0

3 years ago

PLS HELP PLSSS ILL GIVE 10 POINTS

ankoles [38]

A is 2 and B is 24 bc 12/6 =2 and 6x4=24

5 0

3 years ago

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