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
notsponge [240]
2 years ago
7

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

l the cost be under $200?
Mathematics
1 answer:
Roman55 [17]2 years ago
3 0

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.

You might be interested in
I need help with any of these thank you
otez555 [7]

Answer:

the answer for 12 is 2.1

13 is 4/13

14 is 95/11 or 8 7/11

4 0
2 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST I NEED HELP
Evgen [1.6K]

Answer:

c

Step-by-step explanation:

5 0
2 years ago
What is 17,574 in expanded form?
NikAS [45]

Answer:

10,000 + 7,000 + 500 + 70 +4

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Choose one of the fractions models in Part A. Explain how to use mulitplactacion or division to check the equivalent fraction. W
kkurt [141]

Answer:

It has become a cliché to describe the watch business in America

as a game of musical chairs, yet no other seems quite as

relevant.

Source: New York Times

O chord

O reinforcement

ооо

O metaphor

appendix

Step-by-step explanation:

just use ģooglr

4 0
2 years ago
Read 2 more answers
1 1/2 x ^ 3 * 8/15 * the power of 2
Mnenie [13.5K]

Your drawing was much more helpful and informative than your statements in words and symbols.

I see that you want to evaluate (3/2)^2 times (8/15)^2.

You could combine these two expressions into one, as follows:

3*8

( ----------- )^2

2*15

This, in turn, can be simplified by reduction:


( 4/5 )^2. Expanded, this result gives us 16/25.


Next problem

----------------------------

( 9/4 )^4 * ( 4/3 )^3

9^4 4^3

First, focus on ( ------- ) * ( ----------- )

4^4 3^3

Now reduce 4^3 / 4^4: The end result is 1/4.

Reduce 9^4 / 3^3. To do this, rewrite that 9 as (3^2), resulting in:

3^8 / 3^3. The end result is 3^5.

Putting this expression back together, we get 3^5 / 4 (answer)

4 0
3 years ago
Read 2 more answers
Other questions:
  • If you reflect triangle MOV across the y-axis, what is the coordinate of V' in the image?
    14·2 answers
  • Find the area of a segment formed by a chord 8" long in a circle with radius of 8"
    15·1 answer
  • 2<br> (m-n) <br> Answer this question knowwwww
    9·1 answer
  • What is the value of x?<br>​
    12·2 answers
  • Use the function below to find F(4).
    9·2 answers
  • PLEASE HELPPPPPPPPPPPPP
    14·2 answers
  • Find the distance (-1,-2) and (3,-1)
    14·1 answer
  • Graph the line.<br><br> y= -3x-1
    10·1 answer
  • What's the distance of (-2, 0), (3, -5) plz help thank you
    13·2 answers
  • What fraction is equivalent to six tenths and has a denominator of 100?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!