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otez555 [7]
3 years ago
13

Manny is an online student who currently owns an older car that is fully paid for. He drives, on average, 110 miles per week to

commute to work. With gas prices currently at $2.65 per gallon, he is considering buying a more fuel-efficient car, and wants to know if it would be a good financial decision. The old car Manny owns currently gets 16 miles per gallon for average fuel efficiency. It has been a great vehicle, but with its age, it needs repairs and maintenance that average $740 per year (as long as nothing serious goes wrong). The newer, more fuel-efficient car that he is looking at to purchase will cost a total of $6,500 over a three-year loan process. This car gets 28 miles per gallon and would only require an average of $10 per month for general maintenance. To help make a decision, Manny wants to calculate the total cost for each scenario over three years. He decides to use the quantitative reasoning process to do this.
Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

Answer:

The new car costs more

Old car = $5062.125

New car = $7161.357

Step-by-step explanation:

Manny drives an average of 110 miles per week with his old car. The old car gets 16 miles per gallon. The cost per gallon is $2.65 repair and Maintainance costs an average of $740 per year.

For the old car, to find the amount spent on the car we have

110/16 * 2.65 = $18.21875 / week

There are 52 weeks in a year. We have

10.21875*52 = $ 947.375

947.375 + 740

= $1687.375

= 1687.357 * 3

= $5062.125

The new car cost $6500 over a three year loan process.

The car gets 28 miles per gallon. It requires a maintenance f $10 per month. For the new car to find the amount, we have

110*28 * 2.65 *52 = $541.357

541.357 + 10(12) + 6500

= $7161.357

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out of 125 children at summer camp 45 signed up for swimming 38 for arts and crafts if a child is randomly selected what is the
anzhelika [568]
P(s) = 45/125 = 0.360
P(A&C) = 38/125 = 0.304
Probability that one is not in Arts and Crafts = 1- P(A&C) = 1-0.304 = 0.696

Therefore,
Probability that the child selected is in swimming when its known they didn't sign for Arts and craft = Probability they signed for swimming * Probability that they didn't sign for Arts and Crafts = 0.360*0.696 = 0.25056
3 0
4 years ago
Read 2 more answers
Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary and
maria [59]

Answer:

See Step by step explanation

Step-by-step explanation:

Objective Function:  z

x =  number of contemporary style

y = number of farmhouse style

Costs

Carpentry costs:

15*2*x  +  15*2,5*y    =  30*x  +  37,5*y

Painting costs

12*1,5*x  +  12*1*y      =  18*x  +  12*y

Finishing costs

18*1,3*x  +  18*1,2*y    = 23,4*x  + 21,6*y

Total costs:

30*x  + 37,5*y + 18*x  + 12*y  + 23,4*x  + 21,6*y

71,4*x  +  71,1*y

z  =  90*x  +  85*y - ( 71,4*x  +  71,1*y )   to maximize

z  = 18,6*x  +  13,9*y  to maximize

Subject to:

First constraint:

Hours available in carpentry    3000

2*x  +  2,5*y ≤  3000

Second constraint

Hours available in painting  1500

1,5*x  +  1*y  ≤   1500

Third constraint

Hours available in finishing  1500

1,3*x  +  1,2*y  ≤ 1500

Fourth constraint

Minimum quantity of contemporary style  500

x ≥  500

Fifth constraint

Minimum quantity of farmhouse style   650

y  ≥  650

General constraints:

x  ≥  0     y  ≥  0   x , y  integers

Model:

z   =   90*x  +  85*y - ( 71,4*x  +  71,1*y )   to maximize

Subject to:

2*x  +  2,5*y ≤  3000

1,5*x  +  1*y  ≤   1500

1,3*x  +  1,2*y  ≤ 1500

x ≥  500

y  ≥  650

x  ≥  0     y  ≥  0   x , y  integers

8 0
3 years ago
Mrs. Henderson wants to put wallpaper border around her living room the room is 18 ft by 22 ft. How many feet of border are need
irga5000 [103]
If I am understanding the question, and assuming the living room is a rectangle, then the border should be 80 ft
8 0
4 years ago
Jeremy drew a polygon with four right angles and four sides with the same length name all the polygons that he could have drawn
jeka94
Square is the only possible answer
7 0
3 years ago
Read 2 more answers
3. Give the domain of y= √6-X using set builder notation.​
Molodets [167]

Answer:

{x | x ≤ 6}

Step-by-step explanation:

Given

y = √(6 - x)

Required

Determine the domain

We start by setting 6 - x to ≥ 0.

i.e.

6 - x ≥ 0

Add x to both sides

6 - x + x ≥ 0 + x

6 ≥ x

This can be rewritten as

x ≤ 6

Using set builder, the above van be represented as: {x | x ≤ 6}

8 0
3 years ago
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