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2 years ago

How does the value of 874.12 change if the decimal point is moved two places to the left?

Mathematics

2 answers:

BARSIC [14]2 years ago

5 0

I believe that the answer has to be b

Rashid [163]2 years ago

3 0

Answer:

Step-by-step explanation:

When you move the decimal either to the right or the left, you change the value. To divide any number by 10, move the decimal point one place to the left. For example:

0.7

700

7,000

So, for any decimal, when you move the decimal point one place to the right, you multiply that number by 10.

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Marginal cost At a certain factory the marginal cost is 3(q-4)^2 dollars per unit when the level of production is q units.

viktelen [127]

Answer:

a.) C(q) = -(1/4)*q^3 + 3q^2 - 12q + OH b.) $170

Step-by-step explanation:

(a) Marginal cost is defined as the decrease or increase in total production cost if output is increased by one more unit. Mathematically:

Marginal cost (MC) = change in total cost/change in quantity

Therefore, to derive the equation for total production cost, we need to integrate the equation of marginal cost with respect to quantity. Thus:

Total cost (C) = Integral [3(q-4)^2] dq = -(1/4)*(q-4)^3 + k

where k is a constant.

The overhead (OH) = C(0) = -(1/4)*(0-4)^3 + k = -16 + k

C(q) = -(1/4)*(q^3 - 12q^2 + 48q - 64) + k = -(1/4)*q^3 + 3q^2 - 12q -16 + k

Thus:

C(q) = -(1/4)*q^3 + 3q^2 - 12q + OH

(b) C(14) = -(1/4)*14^3 + 3*14^2 - 12*14 + 436 = -686 + 588 - 168 + 436 = $170

7 0

1 year ago

A given set of values is found to be a normal distribution with a mean of 140 and a standard deviation of 18.0. Find the value t

Alisiya [41]

Answer:

The value that is greater than 45% of the data values is approximately 137.84.

Step-by-step explanation:

The key is transforming values from this distribution to a z-score range and finding the corresponding value using a z-score table.

We are looking for a value x which attains a critical z-score that corresponds to the (100-45)%=55-th percentile:

$z_{0.55} = \frac{x-\mu}{\sigma}=\frac{x-140}{18}\implies x = 18\cdot z_{0.55}+140$

The critical z value (from z-score table, online) is: -0.12, so:

$x = 18\cdot z_{0.55}+140=18\cdot(-0.12)+140\approx137.84$

The value that is greater than 45% of the data values is approximately 137.84.

5 0

2 years ago

Read 2 more answers

John took all his money from his savings account. He spent $110 on a radio and 4/11 of what was left on presents for his friend

svp [43]

Answer:

$1210

Step-by-step explanation:

Let x be total amount

First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

$\frac{7}{11}(x-110)=\frac{7}{11}x-70$

Then he put 2/5 of his remaining money into a checking account

$\frac{3}{5}\left(\frac{7}{11}x-70\right)$

Rest he donated to charity

$420=\frac{3}{5}\left(\frac{7}{11}x-70\right)\\\Rightarrow \left(\frac{7}{11}x-70\right)=\frac{2100}{3}\\\Rightarrow \frac{7}{11}x-70=700\\\Rightarrow \frac{7}{11}x=770\\\Rightarrow x=1210$

Hence total amount of money John originally had was $1210

8 0

1 year ago

A bag contains one red pen, four black pens, and three blue pens. two pens are randomly chosen from the bag and are not replaced

bagirrra123 [75]

8 total pens....4 are black

first pick, probability of being black is 4/8
2nd pick. without replacing, probability is 3/7

probability of a black pen picked first and then another black pen picked again is : 4/8 * 3/7 = 12/56 = 0.21

8 0

2 years ago

Read 2 more answers

What is the true solution to In 20+In 5= 2 In x?<br><br>#31<br>

Neko [114]

Answer:

ln20+ln5=2lnx

ln(20x5)=lnx^2

ln100=1nx^2

100=x^2

square root

x=10

Hope This Helps!

5 0

2 years ago