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Karolina [17]
3 years ago
9

Truck A costs $600 more that Truck B. However, it burns 0.06 gallon/mile compared to 0.07 gallon/mile for truck B. Both trucks h

ave a useful life of 10 years. Salvage value of Truck B is $200 less than Truck A’s. The cost of fuel is $2.25/gallon. If the value of $ remains the same in 10 years, what is the number of miles driven per year (X) beyond which Truck A is a better option than Truck B?
Mathematics
1 answer:
qwelly [4]3 years ago
5 0

Answer:

  1,778

Step-by-step explanation:

Let C and S represent the cost and salvage value of Truck B, respectively. Let X represent the number of miles per year that answers the question.

Truck A's cost for 10 years is ...

  A = C+600 +(0.06)(2.25)(10X) -(S+200)

Truck B's cost for 10 years is ...

  B = C +(0.07)(2.25)(10X) -S

We want to find X such that Truck A's cost is lower, so ...

  C -S +1.35X +400 < C -S +1.575X

  400 < 0.225X

  1777 7/9 < X

1778 miles driven per year (or more) makes Truck A a better option.

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In a bag of apples there are 4 green apples and 2 red apples. Bethany takes a green apple out of the bag and does not replace it
Aneli [31]

Answer:2/5 = 40%

Step-by-step explanation:

Bethany already one green apple out, and we have 3 green apples and 2 red ones, so, if we want to know what is the probability that the second apple is red we will apply the follow formula: x/n, being X the favorable cases and n the total of cases, in this problem X is 2, because we want to now the RED apples, and N is the total of apples, being n = 2 red apples + 3 green apples = 5, the formula now looks like this: 2/5=? , we resolve it by doing the division and multiplying for 100, (2/5)100 =40 and now we add a % symbol, (2/5)100=40%, and that´s the answer!

3 0
4 years ago
Which is a solution to the equation?
zavuch27 [327]

Answer:

ox=-7

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x

=

4

,

−

7

4 0
3 years ago
=
Darina [25.2K]

Answer:

Different ways to solve a system of linear equations:

isolate one variable in one equation and replace it in the other equation

multiply/divide one equation by a constant and then add/subtract it to the other one, so that only one variable remains

graph the equation and look at the intersection point

If you graph the system:

there is only one solution if the lines intersects at only one point

there is no solution if the lines don't intersect each other (they are parallel)

there are infinitely many solutions if the lines overlap each other (they are the same equation multiplied by some constant)

Step-by-step explanation:

1st system

y = -x – 7  

y = 4/3 x – 7  

solution: x= 0, y = 7

2nd system

y = -3x – 5  

y = x + 3  

solution: x = -2, y = 1

3rd system

y = -2x + 5  

y = 1/3 x – 2

solution:  x = 3, y = -1

4th system

3x + 2y = 2  

x + 2y = -2  

solution: x = 2, y = -2

5th system

x + 3y = -9  

2x – y = -4

solution:  x = -3, y = -2

6th system

x – 2y = 2

-x + 4y = -8

solution:  x = -4, y = -3

7th system

5x + y = -2  

x + y = 2

solution: x = -1, y = -3

6 0
3 years ago
Calculate the area of a circle with the radius of 2cm. Pie=3
Fofino [41]

Answer:

12

Step-by-step explanation:

The formula to find the area of a circle is:

\pir^{2}

Where "r" is the radius of the circle.

In this case, the radius is 2, and as per what is given in this problem (what the problem asks one to use), pi is rounded down to 3.

The equation will be:

3 * 2^2

Simplify, remember the order of operations:

3 * 4

12

6 0
3 years ago
Read 2 more answers
12w + 40 /3 = -6<br><br> What is the value of 'w'?
Lisa [10]
12w + 13¹/₃ = -6
<u>         - 13¹/₃   - 13¹/₃
</u>            <u>12w</u> = <u>-19¹/₃
</u>             12        12<u>
</u>                w = -1¹¹/₁₈
3 0
3 years ago
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