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.
Lines m and n are parallel 70° a с d n Find the missing angle measures Enter your answers in the boxes
can someone please help.....
Enter an equation in point-slope form
The slope of the line is 2/5, and it contains the point: (−2, 7).
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
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!
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
the point Z(3, -3) is rotated 180 degrees counterclockwise around the origin. what are the coordinates of the resulting point, Z’?
Answer: -3 , 3
Step-by-step explanation:
thank me later;)
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?
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
Need help with this pls
Answer:
hi
Step-by-step explanation:
hi
Find the unit rate. Round to the nearest hundredth, if necessary.
$4.99 for 18 lb
The unit rate is $ ? /lb.
Answer:
4.99 divided by 18
0.277222222
Rounded to $0.28
write 9/20 as a decimal
Answer:
0.45
Step-by-step explanation:
Divide 9 by 20.
n-3/4 = 2 3/4
(Change mixed number into a improper fraction)
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!
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?
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.
Plzz help me (sovle all question in the image)
Will give brainliest
Answer:
Y= -1/3x + 8/3
Step-by-step explanation:
find y when y = 3x^2 -2x+5 and x = -1
Answer:
the answer is y=10
James runs 8 laps in 14 minutes. How many laps can he run in one hour and ten minutes?
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
hii i need help on another question!
find the total cost to the nearest cent.
$24 shirt; 6% tax
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:
$25.44Step-by-step explanation:
total cost of shirt = $24 x 1.06
= $25.44
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)
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
What is the constant of proportionality?
Answer:
4 dollars per week
Step-by-step explanation:
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.
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
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.
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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Solve for x. 2/3(x−7)= −2
Enter your answer on the line.
x = __
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 sum of 4 consecutive even numbers is 364 A. 91 B. 65 C. 89.5 D. 182
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?
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?
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
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
PLEASE HELP ILL MARK YOU BRAINLIEST
Answer:
C
Step-by-step explanation:
Answer:
C i think
Step-by-step explanation:
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.
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.
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?
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.
Ricardo bought 3 pounds of gummy bears for $7.77. What is price per pound for the gummy bears?
Answer:
2.59
Step-by-step explanation:
Order the numbers from least to greatest.
Put the lowest number on the left.
1.001 1.101 0.113
Answer:
I think this is answer:
0.113-1.001-1.101
Step-by-step explanation:
PLEASE HELP!! 15 POINTS AND BRAINLIEST !!
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