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3 years ago

I need help with 3&4 ...

Mathematics

2 answers:

Montano1993 [528]3 years ago

8 0

2*5=10 is the answer

scZoUnD [109]3 years ago

6 0

General form for circle is
(x - a)^2 + (y - b)^2 = r^2

so if center is at (3,-2) we can plug in a and b:-

(x-3)^2 + (y+2)^2 = r^2

Now plug in x = 7 and y =1 (from the point R)

4^2 + 3^2 = r^2
r^2 = 25 making r = 5

so its diameter = 2*5 = 10

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Answer-

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

Solution-

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,

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

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emmasim [6.3K]

Answer:

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