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pychu [463]
1 year ago
15

The equation V = 16300 (0.94)^t represents the value (in dollars) of a car t years after its purchase. Use this equation to comp

lete the statements below.

Mathematics
1 answer:
Dafna1 [17]1 year ago
5 0

Solution:

Given:

V=16300(0.94)^t

The value of a car after t - years will depreciate.

Hence, the equation given represents the value after depreciation over t-years.

To get the rate, we compare the equation with the depreciation formula.

\begin{gathered} A=P(1-r)^t \\ \text{where;} \\ P\text{ is the original value} \\ r\text{ is the rate} \\ t\text{ is the time } \end{gathered}

Hence,

\begin{gathered} V=16300(0.94)^t \\ A=P(1-r)^t \\  \\ \text{Comparing both equations,} \\ P=16300 \\ 1-r=0.94 \\ 1-0.94=r \\ r=0.06 \\ To\text{ percentage,} \\ r=0.06\times100=6\text{ \%} \\  \\ \text{Hence, } \\ P\text{ is the purchase price} \\ r\text{ is the rate} \end{gathered}

Therefore, the value of this car is decreasing at a rate of 6%. The purchase price of the car was $16,300.

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Alecsey [184]

Step-by-step explanation:

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5 0
3 years ago
What is the value of (−12)3? Question 1 options: 16 −16 18 −18<br>PLZ ANSWER ASAP
Lisa [10]

The value of (-12)3 is -36

5 0
3 years ago
[x] [y]
julsineya [31]

Answer:

B) x = 1, y = 46/3

Step-by-step explanation:

The general equation for a straight line is

y = mx + b

Step 1. Find the <em>slope of the line </em>

The slope m is

m =(y₂ -y₁)/(x₂/x₁)

Two of your points are (0, 2) and (3, 7).

m = (7 – 2)/(3 – 0)

m  = 5/3

Step 2. Find the <em>equation of the line</em>

Use point (0, 2).

2 = ⁵/₃ × 0 + b

2 = 0 + b

b = 2

The equation of the line is

y = ⁵/₃x + 2

===============

Step 3.Find the coordinates of the <em>first missing point</em>.

(x, 11/3)

11/3 = ⁵/₃x + 2     Multiply each side by 3

  11 = 5x + 6       Subtract 6 from each side

  5 = 5x              Divide each side by 5

  x = 1

The missing value is x = 1.

===============

Step 4. Find the coordinates of the <em>second missing point </em>

(8, y)

  y = ⁵/₃ × 8 + 2   Multiply each side by 3

3y  = 40 + 6        Combine like terms

3y = 46               Divide each side by 3

y = 46/3

The missing value is y = 46/3.

Your three known points give the green line in the graph below.

The orange dot represents the first missing point at (1, 11/3).

The red dot represents the second missing point at (8, 46/3).

5 0
3 years ago
Read 2 more answers
Greg drove 660 miles in 12 hours. At the same rate, how long would it take him to drive 495 miles?
Slav-nsk [51]

This one has two parts, first we have to find out the speed to drive 660 miles in 12 hours.  Divide 660 by 12 to get the speed of 55 miles per hour, that is your rate for the next part.

Next we need to find out how long it will take to drive 495 miles at the same pace of 55 mph.

Do the same thing 495/55.  That will give you your final answer.

495/55= 9

It will take him 9 hours to drive 495 miles at a rate of 55 mph.

3 0
3 years ago
Factor x^4+xy^3+x^3+y^3 out completely. Hint: first factor out a monomial.
adelina 88 [10]

Answer:

(x + y)(x² - xy + y²)(x + 1)

Step-by-step explanation:

Given

x^{4} + xy³ + x³ + y³ ( factor out x from the first 2 terms )

= x(x³ + y³) + 1(x³ + y³) ← factor out (x³ + y³) from each term

= (x³ + y³)(x + 1)

x³ + y³ is a sum of cubes and factors as (x + y)(x² - xy + y²)

Thus

x^{4} + xy³ + x³ + y³ = (x + y)(x² - xy + y²)(x + 1)

3 0
3 years ago
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