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
Naddika [18.5K]
1 year ago
7

The dollar value v(t) of a certain car model that is t years old is given by the following exponential function. v(t)=29,900(0.7

8)^tFind the initial value of the car and the value after 12 years.

Mathematics
1 answer:
olga2289 [7]1 year ago
4 0

Answer:

(a)Initial Value: $29,900

(b)Value after 12 years: $1516.37

Explanation:

Given the dollar value v(t) of a certain car model that is t years old as:

v\mleft(t\mright)=29,900\mleft(0.78\mright)^t

(a)Initial Value

At initial value, that is, when the car was just purchased, t=0

\begin{gathered} v\mleft(t\mright)=29,900\mleft(0.78\mright)^t \\ \implies v\mleft(0\mright)=29,900\mleft(0.78\mright)^0=29,900\times1=29,900 \end{gathered}

The initial value of the car is $29,900.

(b)The value after 12 years.

When t=12

\begin{gathered} v\mleft(t\mright)=29,900\mleft(0.78\mright)^t \\ \implies v\mleft(12\mright)=29,900\mleft(0.78\mright)^{12}=\$1516.37 \end{gathered}

The value of the car after 12 years is $1516.37.

You might be interested in
A teacher and a doctor each have 45 books. If 4/5 f the teacher's books and 2/3 of the doctor's books are novels, how many more
Anarel [89]

Answer:

3/5

Step-by-step explanation:

8 0
3 years ago
What’s 3/4s of 300 million
Blababa [14]
It’s 225,000,000= 225 million
4 0
3 years ago
Read 2 more answers
How many terms are in the expression 4x -4 +3y?
horrorfan [7]

Answer:

three (3)

Step-by-step explanation:

4x is the first term

-4 is the second term

3y is the third term

7 0
3 years ago
Let B be the basis of P3 consisting of the Hermite polynomials in Exercise 21, and let p.t / D 7 ! 12t ! 8t 2 C 12t 3. Find the
Anastasy [175]

To calculate the relative vector of B we have to:

P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right]

The coordenates of:

p(t)= 12t^3-8t^2-12t+7, with respect to B satisfy:

C_1(1)+C_2(2t)+C_3(-2+4t^2)+C_4(-12t+8t^3)= 7-12t-8t^2+12t^3

Equating coefficients of like powers of t produces the system of equation:

\left \{ {C_1-2C_3=7} \atop {2C_2-12C_4=-12} \right. \\\left \{ {{4C_3=-8} \atop {8C_4=12}} \right.

After solving this system, we have to:

C_1=3\\C_2= 3\\C_3= -2\\C_4= \frac{3}{2}

And the result is:

P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right]

Learn more: brainly.com/question/16850761

4 0
3 years ago
Complete the point-slope equation of the line through (1,0) and (6,3). Use exact numbers. y-(-3)=
11111nata11111 [884]

Answer:

point-slope equation of the line through (1,0) and (6,-3). Use Exact Numbers

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • PLZ HELP<br><br> Factor:<br><br> x^9 - 9x + 20
    6·2 answers
  • Which choice describes a kite? A. a quadrilateral that is a parallelogram and has two pairs of congruent angles B. a quadrilater
    9·2 answers
  • TILE Mark is purchasing new tile for his bathrooms. The home improvement store charges $48 for each box of tiles when three or f
    6·1 answer
  • Quick anyone know the answer to this problem? Will give brainiest
    15·2 answers
  • A 16-mb flash drive was sold on sale for $18.50. If this sales price was 81% of the original price, what was the original price?
    13·1 answer
  • Find the Net Pay: $678 gross pay, Federal Withholding $132, FICA $51.87, State $43.15, Health $13.25?
    15·2 answers
  • What is the advantage of using exponential notation?
    14·2 answers
  • 433x3 how u start this off
    10·2 answers
  • Find the radius of a sphere with a volume of 972π cubic millimeters.
    13·2 answers
  • Help me pls this is hard
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!