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
Grace [21]
3 years ago
6

An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r =

rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%. Approximately how old is the car?
Mathematics
2 answers:
lesya692 [45]3 years ago
7 0

Answer:

The car is 6.5 years old

Step-by-step explanation:

An equation for the depreciation of a car is given by y = A(1 - r)^t

y = current value of the car

A = original cost

r = rate of depreciation

t = time in years

The value of a car is half what it originally cost

So, y = \frac{A}{2}

The rate of depreciation is 10% = 0.1 =r

Substitute the values in equation

\frac{A}{2} = A(1 - 0.1)^t

\frac{1}{2} =(1 - 0.1)^t

\frac{1}{2} =(0.9)^t

0.5=0.9^t

t=6.57

Hence The car is 6.5 years old

Mamont248 [21]3 years ago
3 0
<h2>The car is about 6.6 years old.</h2>

Step-by-step explanation:

Given : An equation for the depreciation of a car is given by y = A(1-r)^t, where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%.

To find : Approximately how old is the car?

Solution :

The value of a car is half what it originally cost i.e. y=\frac{1}{2} A

The rate of depreciation is 10% i.e. r=10%=0.1

Substitute in the equation, y = A(1-r)^t

\frac{1}{2} A= A(1-0.1)^t

\frac{1}{2}= (0.9)^t

Taking log both side,

\log(\frac{1}{2})=t\log (0.9)

t=\frac{\log(\frac{1}{2})}{\log (0.9)}

t=6.57

t\approx 6.6

Therefore, the car is about 6.6 years old.

You might be interested in
-5×3+7×4-54÷9+2 ( step by step explanation pls do fast...)​
Nana76 [90]

Answer:

9

Step-by-step explanation:

-5×3+7×4-54÷9+2

-5×3+7×4-6+2

-15+28-6+2

-15-6+28+2

-21+30

9

6 0
2 years ago
*URGENT* I NEED HELP WITH THIS QUICK
Georgia [21]
The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x * 0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was 89.

Hope this helps!
Have a nice day :)
4 0
2 years ago
A store sells two different types of coffee beans; the more expensive one sells for $8 per pound, and the cheaper one sells for
dangina [55]
All u need to do is give branliest then i will answer your question
3 0
3 years ago
Wha is the greatest common factor of 1 and 27
Sauron [17]
1. 1’s only factor IS 1, so it’s kind of your only choice.
3 0
3 years ago
a movie theater sells ticket for 16 each. the theater also sell beverages for 3. the theater needs to make 1900 in all oreder to
lesya692 [45]

Answer:

let t be tickets and b be beverages


Step-by-step explanation:

16t + 3b = 1900

6 0
3 years ago
Other questions:
  • Please put the fraction in lowest terms 26/30 i am her little bro btw my sis said u guys would some how help
    6·2 answers
  • Is 0.44 rational or irrational
    11·2 answers
  • Simplify square root of 2 over cube root of 2.
    11·2 answers
  • If the area of a circle is 43 cm2, how much is the radius?
    5·1 answer
  • PLEASE HELP ILL GIVE BRANLIEST!!! ( and 50 points! )
    11·1 answer
  • Please help
    8·2 answers
  • PLEASE HELP NEED THIS DONE
    13·1 answer
  • Solve this expression:-4x\15=9
    9·1 answer
  • Solve the equation: -6=b/18 What is b?
    15·2 answers
  • BC = x + 14, AB = x + 10, AC = 22
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!