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
Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros -4,-2,5. write the functio
OLga [1]

Answer:

Step-by-step explanation:

This is a third degree polynomial since we have 3 zeros.  We find these zeros by factoring the given polynomial.  The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0).  If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4.  If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2.  Same for the 5.  The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out.  That means that we need to find the product of

(x + 4)(x + 2)(x - 5).  Do the first 2 terms, then multiply in the third.

(x+4)(x+2)=x^2+2x+4x+8, which simplifies to

x^2+6x+8

No we multiply in the final factor of (x - 5):

(x^2+6x+8)(x-5)=x^3+6x^2+8x-5x^2-30x-40 which simplifies to

f(x)=x^3+x^2-22x-40

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5.  If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.

3 0
3 years ago
What is the domain of y= tan(x)?
Anika [276]

Answer:

Step-by-step explanation:

The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the tangent function is all real numbers.

3 0
3 years ago
Terry sees this offer. 35% off refurbished phone, now only £78. What was the orginal price?
KengaRu [80]
35% off means that now it costs 100%-35%=65% of the original price

<span>£78 ---- 65%
x------100%

x=78*100/65=120</span>£<span>

or 
part/whole=0.65
78/whole=0.65
whole =78/0.65 =120 </span>£ 
8 0
3 years ago
How to find the area of a regular hexagon with a radius of 12 inches? Please help
Volgvan
\begin{gathered} In\text{ this case, as a regular hexagon} \\ \text{radius = side} \\ Area\text{ =}3\cdot\frac{\sqrt[]{3}side^2}{2} \\ \text{side}=12in \\ side^2=144in^2 \\ Area\text{ =}3\cdot\frac{\sqrt[]{3}\cdot(144in^2)}{2} \\  \\ \text{Area}=374.1in^2 \\ \text{The regular hexagon's area is }374.1in^2 \end{gathered}

8 0
1 year ago
Please help I don’t know how to do this
Dafna1 [17]

Answer:

12. 7

13. 6

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • Graph help please?
    11·2 answers
  • Mr. Smith has a maximum of $50 to spend at a museum. A ticket costs $7. he can spend x dollars to buy other things at the museum
    12·1 answer
  • 33 folders cost $ 2.91 $2.91dollar sign, 2, point, 91. Which equation would help determine the cost of 2 22 folders? Choose 1 an
    15·2 answers
  • What is the value of Negative 3 StartAbsoluteValue 15 minus 2 EndAbsoluteValue + 2 s cubed when s = negative 3?
    12·2 answers
  • Answer <br> If 1+4=5 and 2+5=12 and 3+6=21 how much does 5+8=
    10·2 answers
  • GUYS I NEED AN EXPLANATION RIGHT NOW!!!!!!!!!!!!<br> I'm scared, look at his explanation
    12·2 answers
  • A bubble may be enclosed in a square whose side
    15·1 answer
  • Solve the system by substitution <br> y = 6x -24<br> y = -2x
    7·2 answers
  • What is an equation of the line that passes through the points (6,2) and
    15·1 answer
  • Which decimal is equivalent to 2/9?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!