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
musickatia [10]
3 years ago
6

Every year, a car loses 15% of the value it had the year before. If the car's initial value is $ 24,000, then how long will it t

ake for the car to be worth half of its value?
Mathematics
1 answer:
ella [17]3 years ago
8 0

Answer:

4.62 years

Step-by-step explanation:

Half the car's value =>$24,000/2 = $12,000

The formula for exponential decrease =

y = a(1 - r)^t

y = Initial value = $24,000

a = Value after time t = $12,000

r = Decrease rate = 15% = 0.15

t = time in years =??

Hence,

24,000 = 12000 ( 1 - 0.15)^t

Divide both sides by 12000

24000/12000 = 12000 ( 0.85)^t/ 12000

2 = 0.85^t

We take the logarithm of both sides

log 2 = log (0.85)^t

log 2 = t log 0.85

Divide both sides by log 0.85

t = log 2/log 0.85

t = 4.62098120373 years

Approximately = 4.62 years

It would take 4.62 years to be worth half the initial price

You might be interested in
Paulo is creating a confidence interval based on sample data for the percentage of Americans that own a dog. His work is shown b
Gekata [30.6K]

Answer:

Checked on edg. , the answer is A. Thanks!

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Use two different methods to find an explain the formula for the area of a trapezoid that has parallel sides of length a and B a
evablogger [386]

Answer:

Formula of Trapezoid:

A = (a + b) × h / 2

The formula can be derived in different ways. for now, we have discussed two ways:

1. By using the formula of a triangle

2. By dividing into different sections

Step-by-step explanation:

1. By using the formula of a triangle

One of the ways to explain a formula for an area of a trapezoid using a formula for a triangle can be as follows.

Assume a trapezoid PQRS with lower base SR and upper base PQ (they are parallel) and sides PS and QR.

The image is attached below.

Connect vertices P and R with a diagonal.

Consider triangle ΔPQR as having a base PQ and an altitude from vertex R down to point M on base PQ (RM⊥PQ).

Its area is

S1=\frac{1}{2} *PQ*RM

Consider triangle ΔPRS as having a base SR and an altitude from vertex P up to point N on-base SR (PN⊥SR).

Its area is

S2=\frac{1}{2} *SR*PN

Altitudes RM and PN are equal and constitute the distance between two parallel bases PQ and SR.

They both are equal to the altitude of the trapezoid h.

Therefore, we can represent areas of our two triangles as

S1=\frac{1}{2}*PQ*h

S2=\frac{1}{2}*SR*h

Adding them together, we get the area of the whole trapezoid:

S=S1+S2=\frac{1}{2} (PQ+SR)h,

which is usually represented in words as "half-sum of the bases times the altitude".

2. By dividing into different sections

Trapezoid PQRS is shown below, with PQ parallel to RS.

Figure 1 - Trapezoid PQRS with PQ parallel to RS(image is attached below.)

We are going to derive the area of a trapezoid by dividing it into different sections.

If we drop another line from Q, then we will have two altitudes namely PT and QU.

Figure 2 - Trapezoid PQRS divided into two triangles and a rectangle. (image is attached below.)

From Figure 2, it is clear that Area of PQRS = Area of PST + Area of PQUT + Area of QRU. We have learned that the area of a triangle is the product of its base and altitude divided by 2, and the area of a rectangle is the product of its length and width. Hence, we can easily compute the area of PQRS. It is clear that

=> A_{PQRS} = (\frac{ah}{2}) + b_{1}h + \frac{ch}{2}

Simplifying, we have

=>A= \frac{ah+2b_{1+C} }{2}

Factoring we have,

=> A_{PQRS} = (a+ 2b_{1} + c)\frac{h}{2}  \\= > {(a+ b_{1} + c) + b_{1} }\frac{h}{2}

 But, a+ b_{1} + c  is equal to b_{2}, the longer base of our trapezoid.

Hence, A_{PQRS}= (b_{1} + b_{2} )\frac{h}{2}

We have discussed two ways by which we can derive area of a trapezoid.

Read to know more about Trapezoid

brainly.com/question/4758162?referrer=searchResults

#SPJ10

5 0
1 year ago
A town doubles its size every 26 years. If the population is currently 10,000, what will the population be in 52 years?
Sergio039 [100]
40,000 you’re welcome. Bye
5 0
3 years ago
Read 2 more answers
1. What is the theoretical probability that the family has two dogs or two cats?
gogolik [260]

let dogs be heads. Let cats be tails. A coin has two sides, in which you are flipping two of them. Note that there can be the possible outcomes  

h-h, h-t, t-h, t-t.  

How this affects the possibility of two dogs & two cats. Note that there are 1/2 a chance of getting those two (with the others being one of each), which means that out of 4 chances, 2 are allowed.  

2/4 = 1/2  

50% is your answer

Heads represents cats and tails represents dogs. There is two coins because we are checking the probability of two pets. You have to do the experiment to get your set of data, once you get your set of data, you will be able to divide it into the probability for cats or dogs. To change the simulation to generate data for 3 pets, simply add a new coin and category for the new pet.

Hope this helps you out!

4 0
3 years ago
ARE YOU GOOD AT GEOMETRY?? WILLING TO HELP SOMEONE OUT?? NEED EASY POINTS AND BRAINLIEST?? COME RIGHT THIS WAY ALL HELP IS APPRE
BlackZzzverrR [31]

Answer:

C: (-8,3) R:5

Step-by-step explanation:

The equation of a circle can be written as:

(x-h)^2+(y-k)^2=r^2

where (h,k) is the center, and r is the radius

We have the equation:

(x+8)^2+(y-3)^2=25

Center:

The center is (-8,3)

(x+8)^2--> (x-h)^2

Therefore the x coordinate of the center is -8

(y-3)^2-->(y-k)^2

Therefore the y coordinate of the center is 3

Radius

r^2=25

Take the square root of both sides

\sqrt{r^2}=\sqrt{25}

r=5

4 0
3 years ago
Read 2 more answers
Other questions:
  • Jake and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
    14·1 answer
  • What are the partial quotients of 68 divided by 456
    10·1 answer
  • In quadrilateral PQRS, PQ= 4x-15, QR=4x+20, RS=3x+5 and SP=6x-20. What vale of x verifies that quadrilateral PQRS is a parallelo
    15·1 answer
  • Vlad tried to solve an equation step by step.
    14·2 answers
  • Enter the mixed number as an improper fraction.<br><br> 2 <br> 2<br> 5<br> =
    7·2 answers
  • Fine the perimeter of this rectangle
    5·1 answer
  • What is the awnser to this equation
    6·1 answer
  • If f(-7)=7 what is the corresponding order pair solution?
    13·1 answer
  • Angle of elevation<br> neither<br> angle of depression?
    13·1 answer
  • What is slope of the line?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!