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zaharov [31]
3 years ago
15

Brent purchased a used vehicle that depreciates under a straight-line method. The initial value of the car is $7500, and the sal

vage value is $500. If the car is expected to have a useful life of another 7 years, how much will it depreciate each year?
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0
Let the value of the vehicle be described by the equation
V = a + bx
where x =  number of years since purchase
a,b are constants.

When x = 0, V = $7500. Therefore
a + b*0 = 7500
a = 7500

When x = 7, V = $500. Therefore
7500 + 7b = 500
7b = 500 -7500 = -7000
b = -7000/7 = -1000

The equation is
V = 7500 - 1000x

The slope of this equation is the depreciation rate, and it is -$1000 per year.

Answer: $1000 depreciation per year.

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mojhsa [17]

Answer:

(- 7, - 2 ) , (9.5, 0.75 )

Step-by-step explanation:

Given the equations

x - 6y = 5 ( add 6y to both sides )

x = 5 + 6y → (1)

xy - 2y² = 6 → (2)

Substitute x = 5 + 6y into (2)

(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side

5y + 6y² - 2y² = 6

4y² + 5y = 6 ( subtract 6 from both sides )

4y² + 5y - 6 = 0 ← in standard form

(y + 2)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y + 2 = 0 ⇒ y = - 2

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = \frac{3}{4} = 0.75

Substitute these values into (1) for corresponding values of x

y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )

y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )

7 0
2 years ago
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State the domain &amp; range!
Simora [160]

Answer:

Domain=x:x is a natural number less than 6: x≠4

Range= x:x is a natural number, 3>=x<=1

8 0
3 years ago
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I need help!!!!<br> [1 -4]<br> +[-2 6]<br> [3 5] [-2 4]
zimovet [89]
[ 1 - 4] 
= 1- 4
= 1 + - 4
= - 3

+ [ - 2 6]
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[ 3 5][ - 2 4]
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4 0
3 years ago
*PLEASE HELP ANSWER* <br> * I WILL GIVE BRAINLIEST *
AlladinOne [14]

Answer:

Union

Step-by-step explanation:

None of the terms in each inequality intersect.

so its not intersection

Its two inequalities put together so its union

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3 years ago
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In 1 1/2 hours, Sebastian can walk 4 1/2 miles.<br> What is his average speed in hours per mile?
jeka94

Answer:

The average speed of Sebastian is 3 miles per hour.

<u>Solution:</u>

Given, In 1 \frac{1}{2} hours, Sebastian can walk 4 1/2 miles.  

we have to find What is his average speed in hours per mile

We know that, average speed =\frac{\text {total distance walked}}{\text {total time taken}}

In our problem, total distance travelled = 4 \frac{1}{2} \text { miles }=\frac{4 \times 2+1}{2} \text { miles }=\frac{9}{2} \text { miles. }

\text { And, total time taken }=1 \frac{1}{2} \text { hours }=\frac{1 \times 2+1}{2} \text { hours }=\frac{3}{2} \text { miles. }

Now, average speed of Sebastian =\frac{\frac{9}{2}}{\frac{3}{2}}=\frac{9}{2} \times \frac{2}{3}=\frac{9}{3}=3

Hence, the average speed of Sebastian is 3 miles per hour.

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3 years ago
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