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
Svetach [21]
3 years ago
8

A new car is purchased for $49,000 and over time its value depreciates by one half every 5 years. What is the value of the car 2

1 years after it was purchased, to the nearest hundred dollars?
Mathematics
1 answer:
vovikov84 [41]3 years ago
4 0

Principal: $49,000

Depreciation Rate: 50%

Depreciation Time: 5 years

Exponential Function: y = 49,000 (0.50)^x

Plug it in: y = 49,000 (0.50)^4

0.5^4= 0.0625

0.0625 x 49,000 = 3062.5

Value of Car after 20 years: 3062.5

Now, we need to find out how much the car decreases in ONE year.

Half of 3062.5 = 1531.25

1531.25/5 = 306.25

3062.5 - 306.25 = 2756.25

Value of car after 21 years: $2756 ---> 2800 (nearest hundred dollars my bad)

Hope this helps! Have a great day!

You might be interested in
the functions f and g are defined as follows f(x)=-5x+2 g(x)=3x^2-3x find f(g) and g(-2) simplify your answer as much as possibl
daser333 [38]

Answer:

f(g) = -15x^2 + 15x + 2.

g(-2) = 18.

Step-by-step explanation:

f(g) = -5(3x^2 - 3x) + 2

= -15x^2 + 15x + 2.

g(-2) = 3(-2)^2 - 3(-2)

= 12 + 6

= 18.

8 0
2 years ago
Solve for x*<br> 55°<br> x + 74<br> I<br> 54°
tiny-mole [99]

The Answer Is 180. :)

8 0
3 years ago
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let
sergiy2304 [10]

Answer:

(a) P(X=3) = 0.093

(b) P(X≤3) = 0.966

(c) P(X≥4) = 0.034

(d) P(1≤X≤3) = 0.688

(e) The probability that none of the 25 boards is defective is 0.277.

(f) The expected value and standard deviation of X is 1.25 and 1.089 respectively.

Step-by-step explanation:

We are given that when circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%.

Let X = <em>the number of defective boards in a random sample of size, n = 25</em>

So, X ∼ Bin(25,0.05)

The probability distribution for the binomial distribution is given by;

P(X=r)= \binom{n}{r} \times p^{r}\times (1-p)^{n-r}  ; x = 0,1,2,......

where, n = number of trials (samples) taken = 25

            r = number of success

            p = probability of success which in our question is percentage

                   of defectivs, i.e. 5%

(a) P(X = 3) =  \binom{25}{3} \times 0.05^{3}\times (1-0.05)^{25-3}

                   =  2300 \times 0.05^{3}\times 0.95^{22}

                   =  <u>0.093</u>

(b) P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= \binom{25}{0} \times 0.05^{0}\times (1-0.05)^{25-0}+\binom{25}{1} \times 0.05^{1}\times (1-0.05)^{25-1}+\binom{25}{2} \times 0.05^{2}\times (1-0.05)^{25-2}+\binom{25}{3} \times 0.05^{3}\times (1-0.05)^{25-3}

=  1 \times 1 \times 0.95^{25}+25 \times 0.05^{1}\times 0.95^{24}+300 \times 0.05^{2}\times 0.95^{23}+2300 \times 0.05^{3}\times 0.95^{22}

=  <u>0.966</u>

(c) P(X \geq 4) = 1 - P(X < 4) = 1 - P(X \leq 3)

                    =  1 - 0.966

                    =  <u>0.034</u>

<u></u>

(d) P(1 ≤ X ≤ 3) =  P(X = 1) + P(X = 2) + P(X = 3)

=  \binom{25}{1} \times 0.05^{1}\times (1-0.05)^{25-1}+\binom{25}{2} \times 0.05^{2}\times (1-0.05)^{25-2}+\binom{25}{3} \times 0.05^{3}\times (1-0.05)^{25-3}

=  25 \times 0.05^{1}\times 0.95^{24}+300 \times 0.05^{2}\times 0.95^{23}+2300 \times 0.05^{3}\times 0.95^{22}

=  <u>0.688</u>

(e) The probability that none of the 25 boards is defective is given by = P(X = 0)

     P(X = 0) =  \binom{25}{0} \times 0.05^{0}\times (1-0.05)^{25-0}

                   =  1 \times 1\times 0.95^{25}

                   =  <u>0.277</u>

(f) The expected value of X is given by;

       E(X)  =  n \times p

                =  25 \times 0.05  = 1.25

The standard deviation of X is given by;

        S.D.(X)  =  \sqrt{n \times p \times (1-p)}

                     =  \sqrt{25 \times 0.05 \times (1-0.05)}

                     =  <u>1.089</u>

8 0
2 years ago
Which of the following shows the function f (x) being translated 4 units up?
Shtirlitz [24]

Answer:

where is the following

Step-by-step explanation:

b i can teve n tse the following answers

3 0
3 years ago
There goes my hopes for Virtuoso rank....
Tpy6a [65]
Y = x^2 + 10x - 171
y = (x - 9)(x + 19)

x - 9= 0 x + 19 = 0
x = 9 x = -19

Answer B covers all requirements... the factored form is
y= (x + 19)(x - 9)
and the zeros are -19 and 9
3 0
3 years ago
Other questions:
  • Question down below thxx!!!!
    13·1 answer
  • The sum of three consecutive odd numbers is 171 what is the smallest odd number
    12·1 answer
  • How many 6 ounce cups can be filled from 4 gallons of juice
    7·2 answers
  • Anna types 160 words in 2 minutes. How many words does Anna type in 1 hour at this rate?
    11·2 answers
  • Justin is at the amusement park for 7 hours. the number of rides he goes on depends on how long the line is for each ride. is th
    6·1 answer
  • What is 10 less than 812
    8·2 answers
  • You walk 30 m to the north, then turn 90 degrees to your left and walk another 80 m. How far are you from where you originally s
    14·2 answers
  • Write a number that has a 2 with a value 100 times less than the value of the 2 in the number 42,845
    9·1 answer
  • What is the solution for -3x ≥ 36?
    13·2 answers
  • 25<br> Find the value of<br> 20
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!