1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mamaluj [8]
3 years ago
15

Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per​ month, whe

re t is time in months and​ S(t) is the number of computers sold each month.
S'(t)= -30t^(2/3)

The company plans to stop manufacturing this computer when monthly sales reach 1,000 computers. If monthly sales now ​(t=​0) are 2,440 computers, find​ S(t). How long will the company continue to manufacture this​ computer?
Mathematics
1 answer:
Len [333]3 years ago
6 0

Answer:

S(t) = -18t^\frac{5}{3}+2440

Company will take approximately 14 months

Step-by-step explanation:

Given function that shows the change rate of computers,

S'(t)=-30 t^{\frac{2}{3}}

Where,

t = number of months

On integrating,

\int S'(t) = -30\int t^{\frac{2}{3}} dt

S(t) = -30(\frac{t^{\frac{2}{3}+1}}{\frac{2}{3}+1})+C

S(t) = -30 (\frac{t^{\frac{2+3}{3}}}{\frac{2+3}{3}})+C

S(t) = -30(\frac{t^\frac{5}{3}}{\frac{5}{3}})+C

S(t) = -30(\frac{3t^\frac{5}{3}}{5})+C

S(t) =-18t^\frac{5}{3}+C

According to the question,

S(0) = 2,440,

\implies -18(0)^\frac{5}{3}+C=2440\implies C = 2440

Hence, the required function,

S(t) = -18t^\frac{5}{3}+2440

If S(t) = 1,000,

-18t^\frac{5}{3}+2440=1000

-18t^\frac{5}{3}=-1440

t^\frac{5}{3}=80

t = (80)^\frac{3}{5}\approx 13.86

You might be interested in
Convert 86 to a z-score
Semmy [17]

Answer:

Step-by-step explanation:--0.9

5 0
2 years ago
NEED HELP ASP!!
balu736 [363]
D) 34/5 because 6(5) = 30 30+4=34 , so its 34/5
7 0
3 years ago
Read 2 more answers
It is in the attachment.
Setler79 [48]

Answer:

you would have to pay $43.20

Step-by-step explanation:

15+32.50=47.50

47.50x.08=3.80

47-3.80=43.20

3 0
2 years ago
A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. What is
Otrada [13]

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

7 0
2 years ago
I need help on this question plz
Kitty [74]
The correct answer will be 3.

Why?

If v = m + 3 what is m?

Well it's says that D = m/v and D = 3/6.

So if M is 3, what number can you add my 3 that is gonna equal to V (6).

3 + 3 = 6 and that's how I got my answer.


6 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me with this question
    7·1 answer
  • An army base in the desert is located at the origin, O of an x-y coordinate system. A soldier at point P needs to determine his
    8·1 answer
  • Cody was 165\,\text{cm}165cm165, start text, c, m, end text tall on the first day of school this year, which was 10\%10%10, perc
    8·1 answer
  • What is the constant in the expression?
    13·2 answers
  • Can u pls help me with this question asap ​
    14·1 answer
  • Helpppp Please it’s supposed to be in squared units
    13·2 answers
  • An aquarium can hold 3744 cubic inches of water. Ben fills the aquarium 9/10 full of water. Water weighs about 0.036 pound per c
    11·1 answer
  • 1a. Alex skateboards at a constant speed from his house to school 4 miles away. It takes him 15 minutes. What fraction represent
    13·1 answer
  • What is the answer for 2+3n, if the n equals 1/2
    15·1 answer
  • FREEEEEEE POINTSSSSSSSSFREEEEEEE POINTSSSSSSSSFREEEEEEE POINTSSSSSSSSFREEEEEEE POINTSSSSSSSSFREEEEEEE POINTSSSSSSSSFREEEEEEE POI
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!