3 years ago

Please help me out!!!!

Mathematics

1 answer:

atroni [7]3 years ago

7 0

Answer:

Step-by-step explanation:

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The cost of a High Definition television now averages $700, but the cost is decreasing about 15% per year. In how many years wil

Roman55 [17]

Answer: 7.7 years

Step-by-step explanation:

Given

The cost of HD TV is $700 and it is decreasing at the rate of 15% per year

After one year it becomes

$\Rightarrow 700-700\times 15\%\\\Rightarrow 700(1-0.15)$

after 2 year it becomes

$\Rightarrow 700(1-0.15)-700(1-0.15)\times 15\%\\\Rightarrow 700(1-0.15)(1-0.15)\\\Rightarrow 700(1-0.15)^2$

Suppose, after x years it becomes $200

$\Rightarrow 200=700(1-0.15)^x\\\\\Rightarrow \dfrac{2}{7}=0.85^x\\\\\text{Taking log both sides}\\\\\Rightarrow x=\dfrac{\ln (\frac{2}{7})}{\ln (0.85)}\\\\\Rightarrow x=7.7\ \text{years}$

Thus, it takes 7.7 years for the cost to come under $200.

3 0

3 years ago

Lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100

krok68 [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

8+4=8<br> 6+5=30<br> 4+3=12<br> THEN 10+ 6 =?

kari74 [83]

Answer:

this is a trick question. the answer is most likely just 16 lol

3 0

2 years ago

Read 2 more answers

Plz awnser :) but explain i actually wanna know how to do this. long division, 1300÷15=?

chubhunter [2.5K]

(Divide) 1,300÷15=86.6666666667

6 0

4 years ago

Let f(x) = 8x3 - 28x + 61 and g(x) = 2x + 5. Find f(x) / g(x)

LiRa [457]

This is a division of polynomials

   8x^3 - 28x + 61 | 2x + 5
      -----------------------
- 8x^3 - 20x^2 4x^2 - 10x + 11x
---------------------------------
0     - 20x^2 - 28x + 61
   +20x^2 +50x
   ------------------------
   0    +22x +61
   -22x -55
----------------
    6

Then, the division is not exact and the result is 4x^2 - 10x + 11x with remainder 6, or:

4x^2 - 10x + 11x + [ 6/ ( 2x + 5)

8 0

3 years ago

Read 2 more answers