mr cadwell wants to purchase a motorcycle. he has financing options a and b to chose from, as shown below.
Option A-
Down Payment: $1,000
Monthly payment for 3 years: $85

Option B-
Down payment: $1,200
Monthly Payment for 3 years: $85

The purchase of the motorcycle is $3,500, including tax. Based on the info provided in the table, which statement is true?

Option B is better
Option A is better

Answers

Answer 1

Answer:

Option A is better.

Step-by-step explanation:

We will observe both plans one by one to determine which one is better i.e. which one will has less interest to pay.

So,

Option A:

Down Payment: $1,000

Monthly payment for 3 years: $85

The total amount in installments will be:

[tex]=Amount\ per\ month * months\\= 85*36\\=3060[/tex]

The total price of bike will be:

[tex]Total\ price = Downpayment +Installments\\= 1000+3060\\= 4060\\Interest = Total\ price - Purchase \\= 4060-3500\\=560[/tex]

Option B:

Down Payment: $1,200

Monthly payment for 3 years: $85

The total amount in installments will be:

[tex]=Amount\ per\ month * months\\= 85*36\\=3060[/tex]

The total price of bike will be:

[tex]Total\ price = Downpayment +Installments\\= 1200+3060\\= 4260\\Interest = Total\ price - Purchase \\= 4260-3500\\=760[/tex]

We can see that interest in Option A is less than interest in Option B that means Mr. Cardwell will have to pay less amount in Option A.

Hence,

Option A is better.


Related Questions

The sum of 4 consecutive even numbers is 364 A. 91 B. 65 C. 89.5 D. 182​

Answers

Answer:

91

Step-by-step explanation:

Sum of the middle two numbers is ''182'' for 4 consecutive even number.

What is Addition?

The process of combining or adding two or more numbers is called the Addition.

We have to given that;

Sum of 4 consecutive even numbers = 364

Let 4 consecutive even numbers are,

⇒ (x - 2), x, (x + 2), (x + 4)

So, We can formulate;

⇒ (x - 2) + x + (x + 2) + (x + 4) = 364

Solve for x;

⇒ 4x + 4 = 364

⇒ 4x = 364 - 4

⇒ 4x = 360

⇒ x = 90

Hence, The two middle numbers are,

⇒ (x) = 90

           

⇒ (x + 2) = 90 + 2

              = 92

So, Sum of two middle numbers = 90 + 92

                                                  = 182

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The complete question is this,

The sum of 4 consecutive even numbers is 364. What is the sum of the middle two numbers?

Lines m and n are parallel 70° a с d n Find the missing angle measures Enter your answers in the boxes ​

Answers

A is 110, B is 70, C is 110, D is 70, G is 110, E is 110, and F is 70

Will give brainliest

Answers

Answer:

Y= -1/3x + 8/3

Step-by-step explanation:

In the activity, Heavy Flying, we looked at constraints for transporting packages from Careful Calculators and Charlie's
Chicken Feed
• Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume.
• Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume.
On Monday, the pilot transferred containers that totaled 30,000 pounds and 1,600 cubic feet in volume.
1. Write a system of equations to model this situation.
2. Write a matrix equation to model this situation.
3. Solve. How many of each container was transported?
Show your work by uploading a picture or typing in the text box.

Answers

Answer: 500 chicken feed and 200 careful calculators

Step-by-step explanation:

2x+3y=1,600

40x+50y=30,000

those are your first two equations

your first matrix equation for A is 2, 3,40,50 and B is 1,600 and 30,000 when you enter those in your calculator and 500 and 200 should be your result.

a) The system of equations are 2x + 3y = 1600 and 40x + 50y = 30000

b) The matrix equations are solved

c) The solution to the system of equations is

The number of chicken feed = 500

The number of careful calculators = 200

What is multiplication of matrices?

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

Let the number of chicken feed be represented as x

Let the number of careful calculators be y

Now , the equation will be

Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume

And , Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume

Substituting the values in the matrices , we get

[tex]\left[\begin{array}{ccc}2 &3 \\ 40 &50 \\\end{array}\right] * \left[\begin{array}{ccc}x\\y\\\end{array}\right]= \left[\begin{array}{ccc}1600\\30000\\\end{array}\right][/tex]

On simplifying the matrix equation , we get

2x + 3y = 1600   be equation (1)

40x + 50y = 30000   be equation (2)

Now , multiply equation (1) by 20 , we get

40x + 60y = 32000   be equation (3)

Subtracting equation (2) from equation (3) , we get

10y = 2000

Divide by 10 on both sides of the equation , we get

y = 200 careful calculators

Substituting the value of y in equation (1) , we get

2x + 3 ( 200 ) = 1600

2x + 600 = 1600

Subtracting 600 on both sides of the equation , we get

2x = 1000

Divide by 2 on both sides of the equation , we get

x = 500 chicken feeds

Therefore , the value of x and y are 500 and 200 respectively

Hence , the system of matrix equations are solved

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can someone please help.....​

Answers

1/3 is smaller than 1/2, therefore it already indicates the number line is drawn incorrectly, since 1/2 should be in front of 1/3 not behind & 1/12 should be in front, next to 0, since it is the smallest fraction and 1/6 right next to it, then 1/3, then 1/2 & 5/12 then 1/4.

hii i need help on another question!
find the total cost to the nearest cent.
$24 shirt; 6% tax

Answers

The answer is $25.44. You need to add the cost of the shirt and the tax together for the answer. The cost of the shirt is $24 and the tax of it is $1.44. So $24 + $1.44 = $25.44.

Answer:

$25.44

Step-by-step explanation:

total cost of shirt = $24 x 1.06

                            = $25.44

Ricardo bought 3 pounds of gummy bears for $7.77. What is price per pound for the gummy bears?

Answers

Answer: To find the price per pound we must divide 7.77 by 3, 7.77/3=2.59. So the price per pound for the gummy bears is 2.59$.

Answer:

2.59

Step-by-step explanation:

Will give 25 points! Please Explain! Im so confused! Big test on friday!

Write the slope-intercept form of an equation that passes through the given point and is perpendicular to the graph of the equation
(5,2), y=x-5

a. y=-x+7
b. y=3x+1
c. y=x+7
d. y=x+ 12/5

Please Dont forget to Also Explain! Thank You!

Answers

Answer:

a. y = -x + 7

Step-by-step explanation:

The line with equation y = x - 5 has slope = 1.

A perpendicular to a line has the opposite reciprocal slope of the line, so a perpendicular to the given line has slope -1.

y = -x + b

To find the value of b, we plug in the given point for x and y and solve for b.

y = -x + b

2 = -5 + b

b = 7

y = -x + 7

Answer: a. y = -x + 7

PLEASE HELP!! 15 POINTS AND BRAINLIEST !!

Answers

Answer:

40 degrees

Step-by-step explanation:

We need to find angle 3

Since angle 2 and angle 4 are vertical angles, they will be congruent

To solve for x we can make the following equation:

x+70=2x

x=70

In this problem angles 2 and 3 are supplementary (they add to 180)

Angle 2 is 140 degrees

We can now make the following equation to find angle 3 using measures addition postulate

let angle 3 be x

180-140=x

The 140 is angle 2

x=40

Markups The depth of water in a pond increases by 3% after a heavy rain. If the average depth of the water was 8.3 feet, what is the new depth?​

Answers

Answer: 8.55 feet

Step-by-step explanation:

We should equal the average depth to 1, so if it raises 3%, it raises 0.03. Simply add the original (1) plus what it rose (0.03) and multiply the original by that, so 8.3 × 1.03 = new depth. The result is 8.549 feets.

n-3/4 = 2 3/4
(Change mixed number into a improper fraction)

Answers

Here’s the answer :)

Answer:

2 3/4 = 11/4 :)

Step-by-step explanation:

Whole number times denominator then add the numerator!

Hope this helps, marks as brainliest please!

the point Z(3, -3) is rotated 180 degrees counterclockwise around the origin. what are the coordinates of the resulting point, Z’?

Answers

Answer: -3 , 3

Step-by-step explanation:

thank me later;)

A relay race is 1 3 4 miles long. Each relay team has 4 runners. If each runner runs the same distance in the race, how far will each runner run? Choose the correct answer.

Answers

Answer: 7/16

Step-by-step explanation:

Distance of the relay race = 1 3/4 miles

Number of runners for the relay team = 4 runners

Distance to be run by each runner will be:

= Distance of the relay race / Number of runners

= 1 3/4 ÷ 4

= 7/4 ÷ 4

= 7/4 × 1/4

= 7/16

Each runner will run 7/16 miles

PLEASE HELP ILL MARK YOU BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

Answer:

C i think

Step-by-step explanation:

What is the constant of proportionality?

Answers

Answer:

4 dollars per week

Step-by-step explanation:

Find the unit rate. Round to the nearest hundredth, if necessary.

$4.99 for 18 lb

The unit rate is $ ? /lb.

Answers

Answer:

4.99 divided by 18

0.277222222

Rounded to $0.28

Need help with this pls

Answers

Answer:

hi

Step-by-step explanation:

hi

The line segment joining the points ( 3,-4) and (1,2) is trisected at the points P and Q . If the coordinates of P and Q are (p , -2 ) and ( 5/3 , q ) respectively, find the values of p and q.

Answers

Answer:

P = 7/3 and q = 0

Step-by-step explanation:

The given parameters are;

The endpoints of the segment are, (3, -4) and (1, 2)

The points that trisect the given points are P and Q with coordinates (p, -2) and (5/3, q) respectively

Therefore, we have;

The first point of the trisection cuts 1/3 of the length from one point and the second point of the trisection cuts 2/3 of the length from the same point

The coordinates of P or Q = (3 - (3 - 1)/3, -4 - (-4 - 2)/3) = (7/3 , -2)

Therefore, given that the y-coordinate value of the derived point coincides with the y-coordinate value of the point P, (p, -2) and there is only one point with x = -2 on the line, we have that the coordinate of the point P is (p, -2) = (7/3 , -2)

∴ P = 7/3

Similarly we have the second point of the trisection, Q, given as follows;

We are already given the x-coordinate value of the point Q as the 5/3 in (5/3, q)

Point Q = (5/3, q) = (3 - 2×(3 - 1)/3, -4 - 2×(-4 - 2)/3) = (5/3 , 0)

Point Q = (5/3, q) = (5/3 , 0)

∴ q = 0.

Plzz help me (sovle all question in the image)

Answers

9 is congruent by the lines on each side which match to be congruent lines

find y when y = 3x^2 -2x+5 and x = -1

Answers

Answer:

the answer is y=10

Order the numbers from least to greatest.
Put the lowest number on the left.

1.001 1.101 0.113

Answers

0.113,1.001,1.101 This is the right answer

Answer:

I think this is answer:

0.113-1.001-1.101

Step-by-step explanation:

Which equation has exactly one solution?.
A. – 4 + 2x = 6x – 4
B. 3x + 5 = 2x – 6
C. 2(4x + 5) = 8x + 10
D. 4x – 8 = 4(x – 4)

Answers

Answer: A( – 4 + 2x = 6x – 4= x=0

Step-by-step explanation:  Solve  :    -4x = 0  

Multiply both sides of the equation by (-1) :  4x = 0

Divide both sides of the equation by 4:

                    x = 0

Sarah was sitting in a seat at a baseball game when another ticket holder showed her she was in the wrong seat. The other ticket holder kindly told Sarah she needed to go 5 rows down and 3 seats to the right. Which rule describes the translation needed to put Sarah in the correct seat?

Answers

Answer:  [tex](x,y) \to (x+3, y-5)[/tex]

The x turning into x+3 means she moves 3 seats to the right

The y turning into y-5 means she moves 5 rows down.

write 9/20 as a decimal

Answers

Answer:

0.45

Step-by-step explanation:

Divide 9 by 20.

monique gave half of her necklace to her younger sisters. then she bought 4 new ones. if she now has 18, now many did she have originally

Answers

Answer:

She originally had 7 necklaces.

Step-by-step explanation:

She now has 18 necklaces. She bought four more. That would be 18 - 4 = 14. She gave half of them to her sisters. 14 divided 2 is 7.

Answer:

i think 28 possibly

Step-by-step explanation:

because she bought 4 new ones so 18-4 =14x2 =28?

i don't know if im right but hopefully this helped

Enter an equation in point-slope form

The slope of the line is 2/5, and it contains the point: (−2, 7).

Answers

Answer:

y = 2/5x + 39/5

Step-by-step explanation:

point slope form is y = mx + b

so far we have y = 2/5x + b

m is slope which is given. We need to find b which is y-intercept.

They give us the point (-2,7). We can plug this into the equation to find b.

7 = 2/5(-2) + b

7 = -4/5 + b

b = 39/5

The equation now looks like y = 2/5x + 39/5

James runs 8 laps in 14 minutes. How many laps can he run in one hour and ten minutes?

Answers

Answer: Don't come at me if I'm wrong, but I believe it's 40 laps.

Step-by-step explanation:

First, you need to figure out how many laps James runs in 1 minute and you can do this by dividing the number of laps and minutes (8 laps/14 minutes). This should give you 4/7 laps/minute.

Next, you figure out how many minutes 1 hour and 10 minutes is (just to make things easier) 1 hour and 10 minutes = 70 minutes

Then, you multiple 4/7 and 70 and you get 40 laps.

Answer:

40 laps

Step-by-step explanation:

I just put this into a proportion

so basically i just did 8/14 = ?/70

Then i just worked it like any other problem

8 x 70 then divide 14 and i got 40.

so James ran 40 laps in one hour and tens minutes

NOTE that i turned one hour and ten minutes into minutes

pls mark brainleist

Kole and his sister ordered ice cream. He spent $6.50 for his sundae. She ordered the same sundae with sprinkles, which were an extra $0.40. Kole pays for his ice cream and half of his sisters with $10. How much change will he get back?

Answers

Answer:

$0.05

Step-by-step explanation:

because he payed half of his sisters and it was $3.45 and plus his was $9.95 so he  got $0.05 back

Solve for x. 2/3(x−7)= −2
Enter your answer on the line.
x = __

Answers

Answer: easy x=4

Step-by-step explanation:

have a great thanksgiving

Answer:

The answer will be X=4

Step-by-step explanation: I know this because I just got done learning this stuff.

The Wells family goes out to eat dinner every Saturday night. Last Saturday was the 100th time the family had eaten at Happy Joe's Pizza House. The owner of Happy Joe's gave the family a 20% discount for customer loyalty. The bill was $27.50 before the discount. What was their bill after the discount?

Answers

33 dollars because 27.50 times .20 is equal to 5.5 so you add 27.50 plus 5.5 equal to 33 dollars
Other Questions
Michelle Duncan wants to know her affordable home purchase price. Her annual gross income is $49,800. She has $820 per month of other debt and expects her property taxes and homeowners insurance to cost $270 per month. She knows she can get a 8.50%, 30-year mortgage so that her mortgage payment factor is $7.69. She expects to make a 25% down payment. What is Michelle's affordable home purchase price? (Round your answer to the nearest dollar amount.)a) $21,110b) $253,316c) $63,329d) $84,439e) $48,710 40 POINTS!!As part of an adventure challenge, you find yourself dropped into a unknown place. There are birds and wolves. The air iscold, and the ground is very hard. What biome have you landed in? A student is preparing for the titration of 20.0 mL of an approximately 0.3 M solution of NH3 using HCl . She has a 50.0 mL buret and four possible HCl solutions to fill it with. Which solution would be best for use in her titration?a. 6.00 M HCI(aq) b. 0.3 M HCI(aq) c. 0.200 M HCI(aq) d. 0.100 M HCl(aq) Prefieres vivir en la ciudad o en el campo? Por qu? Why did they agree to not tell the Italians where they came from?Because they would be thrown back in the volcanoBecause the Italians would have thought they were demonsBecause they didnt want to scare the ItaliansBecause they knew that the whole story was so fantastic no one would believe it right away. In triangle PQR m angle P=60, and m angle Q=30, and m angle R=90. Which of the following statements about triangle PQR are true? Check all that apply. theory of production 3. What is the name of the first known African civilization? Please help with the problem in the picture ^ Ill give brainliest if you give me a small explanation! :) slope if (5,6) and (-7,5) How is the age distribution pattern of the Hawaiian Islands - Emperor Seamount chain explained by the position of the Hawaiian hotspot? Explain using evidence and reasoning. From one run of the proposed electron transport chain, how many ATP equivalents in energy could theoretically be generated?a) 3 b) 4 c) 5 d) 6 e) 7 SOMEONE PLEASE HELP ME I REPOSTED THIS 3 time and no ONE HAD HELPED ME Why are bubbles round? (A serious physics question) Describe and give an example of mutualism. Describe and give an example of commensalism. Describe and give an example of parasitism.Describe and give an example of competition. Describe and give an example of predation. True or False: F double sharp and A double flat is the same sound This part of the respiratory system prevents food from entering your trachea.A. MouthB. EpiglottisC. BronchiolesD. Nose How much 1.50M KBr can be made from 15.6 mL of concentrated KBr with a molarity of 9.65 M? Which best explains why a patient who had a myocardial infarction will never fully recover, in spite of all the drugs prescribed to him? The drugs are only effective for extremely active, healthy individuals. The drugs cannot rebuild the cells that died, but they can limit the death of more. The drugs restore blood flow to some of the arteries, but not arteries in the legs. The drugs prevent another heart attack, but other damage has already occurred. The revolt at Anahuac ended with _____________. a. the return of Stephen F. Austin b. the outbreak of malaria c. the surrender of Captain Tenorio's forces d. the surrender of William B. Travis