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3 years ago

Suppose the cost function for the production of a new item is given by the equation

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

8 0

Answer:

x=80

Step-by-step explanation:

Take the derivative of C(x) using the power rule

C'(x)=4x-320

Set this equal to 0 and solve for x

4x=320

x=80.

Sign analysis shows this to be a minimum because for values larger than 80 C'(x)>0 and for values less than 80 C'(x)<0

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2. Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Write an exponential model for t

Gala2k [10]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}$

$A=10000\left(1+\frac{0.085}{12}\right)^{12\cdot 15}\implies A=10000\left( \frac{2417}{2400} \right)^{180}\implies A\approx 35626.53$

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3 years ago

| Juan wants to put carpeting in his living

Citrus2011 [14]

Answer: a

Step-by-step explanation:

15.00x13.00=195

3x15.00=45.00

15x10.00=150.00

150.00+45.00=195.00

7 0

3 years ago

Find y when x=4 and z=15; if y varies jointly as x and z y=5 when z=8 and x=10

Law Incorporation [45]

I think the answer to y when x=4 and z=15; if y varies jointly as x and z y=5 when z=8 and x=10 is B. Y=1/2. Y•15; 12/4.

3 0

3 years ago

Help me solve this question

anygoal [31]

Answer:

The answer is D

Step-by-step explanation:

<4 connects the light house and the boat

Hope This Helps! Have A Nice Day!!

6 0

3 years ago

A scuba diver descends farther down into the ocean from an initial depth of 14.7 feet below sea level. The scuba diver descends

uranmaximum [27]

The maximum rate, r, that the scuba diver may descend is r≤ 11.2

Given the following parameters:

Initial length = 14.7feet

Time = 4.5 minutes

Rate = distance/time

If the scuba diver reaches a depth no more than 65.1 feet below sea level, then;

r ≤ (65.1 - 14.7)/4.5

r≤ 50.4/4.5

r≤ 11.2

Hence the maximum rate, r, that the scuba diver may descend is r≤ 11.2

Learn more on rate here: brainly.com/question/11408596

8 0

3 years ago