Ask question

Ask question

All categories

3 years ago

14

An SUV costs $25,535 and costs an average of $0.18 per mile to maintain. A hybrid model of the SUV costs $32,395 and costs an av

erage of $0.13 per mile to maintain. After how many miles will the cost of the gas-only SUV exceed the cost of the hybrid?

1 answer:

andrezito [222]3 years ago

4 0

Answer:

<h2> 137200 miles</h2>

Step-by-step explanation:

let x be the no of miles

and y be the cost

cost of the first SUV

y=25535+0.18x-----1

cost of the second SUV

y=32395+0.13x------2

let us solve for x in equation 1 and 2

y=25535+0.18x-----1

y=32395+0.13x------2

subtraction 1 from

-y=-25535-0.18x

y=32395+0.13x

0=6860-0.05x

6860=0.05x

divide both sides by x

6860/0.05=x

x= 137200 miles

You might be interested in

The question is in the picture.

dangina [55]

<h2><u>Part A:</u></h2>

Let's denote no of seats in first row with r1 , second row with r2.....and so on.

r1=5

Since next row will have 10 additional row each time when we move to next row,

So,

r2=5+10=15

r3=15+10=25

<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>

r1=5=5+0=5+0×10=5+(1-1)×10

r2=15=5+10=5+(2-1)×10

r3=25=5+20=5+(3-1)×10

<u>So for nth row,</u>

rn=5+(n-1)×10

Since 5=r1 and 10=common difference (d)

rn=r1+(n-1)d

Since 'a' is a convention term for 1st term,

<h3><u>⇒</u><u>rn=a+(n-1)d</u></h3>

which is an explicit formula to find no of seats in any given row.

<h2><u>Part B:</u></h2>

Using above explicit formula, we can calculate no of seats in 7th row,

r7=5+(7-1)×10

r7=5+(7-1)×10 =5+6×10

r7=5+(7-1)×10 =5+6×10 =65

which is the no of seats in 7th row.

8 0

3 years ago

Which of the following equations is equivalent to 3x + 4y =15

slavikrds [6]

Answer:

x= −4 /3 y+5

Step-by-step explanation:

5 0

3 years ago

Plsssss helps 50 points

lutik1710 [3]

Here's the solution,

volume of cylinder :

=》

$\pi r {}^{2} h$

where,

r = radius
h = height

now, let's solve

=》

$3.14 \times 7 \times 7 \times 13$

=》

$2000.18$

So, volume = 2000.2 cm³

3 0

3 years ago

Read 2 more answers

What is the mean, median, mode, and range of this data set, 2,3,2,4,3,3,3,4,2,3,4,2,4,4,9,3,4,4

slava [35]

Answer:

Mean: 3.5

Median: 3

Mode: 4

Range: 7

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Given a function <img src="https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4-5x%5E2%2B2x-3" id="TexFormula1" title="f(x)=3x^4-5x^2+2x-3"

Levart [38]

Answer:

$\huge\boxed{f(-1) = -7}$

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

$f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3$

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

$3(-1)^4 = 3$

<u><em>WAIT</em></u><em>!</em><em> How is this possible? </em> $-1^4 = -1$ (according to my calculator), and $3 \cdot -1 = -3$ , not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use $-2^2$ as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than being <em>"-2 squared"</em> - it's <em>"the negative of of 2 squared."</em>

Tying this back into our problem, the squared method would only be true if it looks like $-1^4$ . However, since we're substituting in -1, it looks like $(-1)^4$ , so the expression reads out as "<u><em>-1 to the fourth.</em></u>"

MULTIPLYING -1 by itself 4 times results in $-1\cdot-1\cdot-1\cdot-1=1$ .

Applying this logic to our original term, $3(-1)^4$ :

$3(-1\cdot-1\cdot-1\cdot-1)$
$3(1)$
$3$

Therefore, our first term is 3.

Let's move on to our second and third terms.

Second term: $-5x^2$

$-5(-1)^2$

Applying the same logic from our first term:

$-5(-1 \cdot -1)$
$-5(1)$
$-5$

Third term: $2x$

$2(-1) = -2$

-3 is just -3, no influence of x.

Combining our terms, we have $3-5-2-3$ .

This comes out to be -7, hence, the value of $f(-1)$ for our function $f(x)=3x^4-5x^2+2x-3$ is <u>-7</u>.

Hope this helped!

4 0

3 years ago

Read 2 more answers