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3 years ago

A sales manager has ieekends off and has 20 paid vacation days per year.

Mathematics

2 answers:

kondaur [170]3 years ago

6 0

256.44 (a day I believe is correct)

AleksandrR [38]3 years ago

5 0

Answer:

apex says its 390

Step-by-step explanation:

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a circle has a diameter of 10cm what is the best proximation of this area use 3.14 to approximate for pi

hammer [34]

Hello!

The answer would be $75.8^{cm2}$

Hope this helped!

4 0

3 years ago

Read 2 more answers

A 75-gallon tank is filled with brine (water nearly saturated with salt; used as a preservative) holding 11 pounds of salt in so

Debora [2.8K]

Let $A(t)$ = amount of salt (in pounds) in the tank at time $t$ (in minutes). Then $A(0) = 11$ .

Salt flows in at a rate

$\left(0.6\dfrac{\rm lb}{\rm gal}\right) \left(3\dfrac{\rm gal}{\rm min}\right) = \dfrac95 \dfrac{\rm lb}{\rm min}$

and flows out at a rate

$\left(\dfrac{A(t)\,\rm lb}{75\,\rm gal + \left(3\frac{\rm gal}{\rm min} - 3.25\frac{\rm gal}{\rm min}\right)t}\right) \left(3.25\dfrac{\rm gal}{\rm min}\right) = \dfrac{13A(t)}{300-t} \dfrac{\rm lb}{\rm min}$

where 4 quarts = 1 gallon so 13 quarts = 3.25 gallon.

Then the net rate of salt flow is given by the differential equation

$\dfrac{dA}{dt} = \dfrac95 - \dfrac{13A}{300-t}$

which I'll solve with the integrating factor method.

$\dfrac{dA}{dt} + \dfrac{13}{300-t} A = \dfrac95$

$-\dfrac1{(300-t)^{13}} \dfrac{dA}{dt} - \dfrac{13}{(300-t)^{14}} A = -\dfrac9{5(300-t)^{13}}$

$\dfrac d{dt} \left(-\dfrac1{(300-t)^{13}} A\right) = -\dfrac9{5(300-t)^{13}}$

Integrate both sides. By the fundamental theorem of calculus,

$\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac1{(300-t)^{13}} A\bigg|_{t=0} - \frac95 \int_0^t \frac{du}{(300-u)^{13}}$

$\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac{11}{300^{13}} - \frac95 \times \dfrac1{12} \left(\frac1{(300-t)^{12}} - \frac1{300^{12}}\right)$

$\displaystyle -\dfrac1{(300-t)^{13}} A = \dfrac{34}{300^{13}} - \frac3{20}\frac1{(300-t)^{12}}$

$\displaystyle A = \frac3{20} (300-t) - \dfrac{34}{300^{13}}(300-t)^{13}$

$\displaystyle A = 45 \left(1 - \frac t{300}\right) - 34 \left(1 - \frac t{300}\right)^{13}$

After 1 hour = 60 minutes, the tank will contain

$A(60) = 45 \left(1 - \dfrac {60}{300}\right) - 34 \left(1 - \dfrac {60}{300}\right)^{13} = 45\left(\dfrac45\right) - 34 \left(\dfrac45\right)^{13} \approx 34.131$

pounds of salt.

7 0

1 year ago

Lily has 642 stamps in total. She has 54 US stamps than foreign stamps. How many does she have each

maw [93]

Answer:

answer in photo

hope this helps :)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP!!!!!!!

umka2103 [35]

Answer:

dum there is part A prat B and C

Step-by-step explanation:

5 0

2 years ago

What is the word form of the number 602,107?

Nadusha1986 [10]

Answer
Six hundred and two thousand, one hundred and seven.

Explanation 
When writing numbers in words you consider the place value of the digits forming that number. A digit is defined by its place value.
In the questions above, 6 is in hundred thousands place, 0 in ten thousands place, 2 in thousands place, 1 in hundreds place, 0 in tens place and 7 in ones place.
So, the 602, 107 in words is Six hundred and two thousand, one hundred and seven.

3 0

3 years ago