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
Nookie1986 [14]
3 years ago
6

A store had 150 laptops in the month of January. Every month, 20% of the laptops were sold and 10 new laptops were stocked in th

e store. Which recursive function best represents the number of laptops in the store f(n) after n months? f(n) = 150 − 0.8 x f(n − 1) + 10, f(0) = 150, n > 0 f(n) = 0.2 x f(n − 1) + 10, f(0) = 150, n > 0 f(n) = 0.8 x f(n − 1) + 10, f(0) = 150, n > 0 f(n) = 150 + 0.8 x f(n − 1) + 10, f(0) = 150, n > 0
Mathematics
2 answers:
masha68 [24]3 years ago
6 0

Answer:

f(n) =  0.8 × f(n -1) + 10, n > 0

Step-by-step explanation:

Given,

Original number of laptops, f(0) = 150, ( where, f(n) represents the number of laptops after n months )

∵ Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.

After 1 month,

The number of laptops, f(1) = original laptops - 20% of the original laptops + 10

= 150 - 20% of 150 + 10

= (100 - 20)% of 150 + 10

= 80% of 150 + 10

= 0.8 × f(0) + 10

Similarly, After 2 months,

The number of laptops, f(2) = 0.8 × f(1) + 10,

After 3 months, number of laptops, f(3) = 0.8 × f(2) + 10,

........ so, on

Thus, by following the pattern,

The number of laptops after n months,

f(n) =  0.8 × f(n -1) + 10, n > 0

Softa [21]3 years ago
3 0

<u>Answer-</u>

\boxed{\boxed{f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0}}

<u>Solution-</u>

Here, n represents the number of months and f(n) represents the number of laptops in the store after n months.

As the store had 150 laptops in the month of January or at the beginning.

So f(0)=150

Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.

As 20% of laptops were sold, so 80% were in the store.

So, after one month total number of laptops in the store,

\Rightarrow f(1)=0.8(150)+10

\Rightarrow f(1)=0.8(f(0))+10     (\because f(0)=150)

Again after one month total number of laptops in the store,

\Rightarrow f(2)=0.8\times (0.8(150)+10)+10

\Rightarrow f(2)=0.8(f(1))+10     (\because f(1)=0.8(150)+10)

Analyzing the pattern, the recursive function f(n) will be,

f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0


You might be interested in
What is the volume of a sphere with a diameter of 9.3 m, rounded to the nearest
Troyanec [42]

Answer:

Step-by-step explanation:

about 17

4 0
2 years ago
What is 1178 divided by what equalls 19
MA_775_DIABLO [31]
22382. You just multiply 1178 and 19 :-)

5 0
3 years ago
Read 2 more answers
At a New Car Dealership, a particular model comes in 3 different trim levels (CX, DX,
xxMikexx [17]

Answer:

B. 48

Step-by-step explanation:

Multiply all the numbers of choices together.

trim levels: 3

colors: 4

interior: 4

number of combinations = 3 * 4 * 4 = 48

7 0
3 years ago
Read 2 more answers
70 divided by 10 - 3 + 1 = 11 where to put parentheses
Aleonysh [2.5K]

Answer:

70/(10-3)+1=11

Step-by-step explanation:

simplify

70/(7)+1=11

10+1=11

11=11

6 0
2 years ago
Read 2 more answers
2x^2 +7x +3÷x^3 - x^2 +3x-10​
krek1111 [17]
You’re welcome slime

3 0
3 years ago
Other questions:
  • In playing a card game, i am dealt 6 cards, how many possibilities are there for my hand?
    7·2 answers
  • There are 50 students in the fifth grade at clark school one day 20% of them were absent how many fifth graders were in school t
    7·2 answers
  • A boat traveled 27 miles in 2 hours. at this rate, how many miles will the boat travel in 1 2 hour
    5·1 answer
  • Joe is thinking of an integer. The opposite of his number is greater than the number itself. What is true about Joe's number?
    15·2 answers
  • What fraction is in between 2/3 and 3/3?
    6·2 answers
  • Jeff saved $500 from his summer job so he would have spending money during the school year. He withdraws $12 from his account ea
    12·1 answer
  • Mrs. Dodson is shopping for school supplies with her children. Vivian selected 2 one-inch binders and 1 two-inch binder, which c
    13·1 answer
  • Need help on this question
    8·1 answer
  • What is the surface area. please help​
    7·2 answers
  • For f(x) = 2x-1 and g(x)= x+3, find f(g(x))
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!