a) The after-tax cost of the vehicle Rachel is buying is $29,368.70.
b) The part of the after-tax cost that Rachel will finance after making the down payment is $25,118.70.
c) The total payments after 5 years are $30,659.60.
d) The total interest Rachel paid is $1,290.90.
What is the interest payment?The interest payment represents the difference between the total monthly payments and the financing part of the after-tax cost of the vehicle.
The total monthly payments ($26,409.60) are obtained by multiplying the monthly payments ($440.16) by the number of payment periods (60).
Value of vehicle = $25,990
Harmonized sales tax (HST) = 13%
After-tax cost of the vehicle = $29,368.70 ($25,990 x 1.13)
Down payment = $4,250
Financing part = $25,118.70 ($29,368.70 - $4,250)
Monthly payments = $440.16
Financing period = 60 months (5 years x 12)
Total monthly payments = $26,409.60 ($440.16 x 60)
The total amount paid for the car = $30,659.60 ($26,409.60 + $4,250)
Total interest = $1,290.90 ($26,409.60 - $25,118.70)
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what is the coefficient of Q in the sum of
(2/3q - 3/4) and (-1/6q - 2)
please help me out
I need help because I don't understand and I need an explanation of how to do it, please.
Answer:
Step-by-step explanation:
a.we konw DC=2b and DO=OC, so the coordinate of D(-b, 0), C(b, 0)
b.we konw the height of rectangle is h, so the coordinate of A(-b, h), B(b, h).
an ore is 1 1/2% pure silver. how much ore is needed to obtain 30 kilograms of silver?
Proportionately, the quantity of ore required to obtain 30 kilograms of silver is 2,000 kilograms.
What is proportion?Proportion refers to two or more ratios equated to each other.
We can use decimals, fractions, or percentages to show the proportional value of one quantity or variable to another.
The quantity of ore that can produce 30 kilograms of silver, based on the given proportion, can be obtained by equating the ratio to the required silver quantity.
The percentage of ore that is pure silver = 1¹/₂% = (0.015)
The quantity of silver needed = 30 kilograms
The quantity of ore that can produce 30 kilograms of silver = 2,000 kilograms (30/0.015)
1¹/₂% = 30 kg
100% = 2,000 kg (30/1¹/₂%)
Thus, given the ratio or proportion of pure silver to ore, the quantity of ore needed to obtain 30 kilograms of silver is 2,000 kilograms.
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write the missing digits to make this addition correct
_2_+_2=200
Answer:
128 + 72 = 200
Step-by-step explanation:
Start from the ones. And go next to tens and last find the hundreds.
see image.
Please help will mark Brainly
Answer: A) solution is 1
Step-by-step explanation:
The question is in the photo attached
Answer: 10,000
Step-by-step explanation: here's how I got my answer:
Since we are finding the decrease from 2005-2015, we need to multiply 1/20 by 10, since the timespan is 10 years worth of decreasing.
So, 1/2 * 10 =1/2
So, since we have 1/2 as the overall decrease in the population within the 10 years, we divide 20,000 by 1/2 or 20,000 by 2, and we get 10,000. I hope this helps.
Here are two number machines that always give the same number for any input. Use the machines expressions to explain why both machines will produce the same outputs for any input.
Jesus wants to start saving for college. His parents started an account for him tht currently holds $325. Jesus adds $50 each week.
the image point using the translation (x,y) (x + 4, y -1) for the point (3,3) is?
The image of the point (3, 3) after a translation 4 units right and one unit down is (7, 2)
What is transformation?Transformation involves moving an object from its original position to a new position on the coordinate plane. This can be a translation, dilation.
Translation is the movement of a point either up, down, left or right in the coordinate plane. Translation is a rigid transformation that preserves the shape and size. Other types of rigid transformation are reflection, and rotation
The translation using the rule (x, y) ⇒ (x + 4, y -1) is a translation 4 units right and 1 unit down.
The image of the point (3, 3) using the rule (x, y) ⇒ (x + 4, y -1) is (7, 2)
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9789 dived by 11 that’s it
Answer: 889.909090909
Step-by-step explanation:
divide
Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.
3
16
0.85
100
0.425
0.375
3
4
0.316
0.38
40
김
20
0.1875
We have mapped the correct equivalent expressions.
3/16 ⇒ 0.1875
0.85 ⇒ 17/20.
3/8 ⇒ 0.375.
0.425 ⇒ 17/40.
What is the equivalent expression?
An equivalent expression is a mathematical expression that has the same value as another expression but is written differently. Equivalent expressions can be obtained by using the properties of arithmetic such as the commutative, associative, and distributive laws.
3/16 can be described as 0.1875
0.85 can be described as 17/20.
3/8 can be described as 0.375.
0.425 can be described as 17/40.
Hence, we have mapped the correct equivalent expressions.
3/16 ⇒ 0.1875
0.85 ⇒ 17/20.
3/8 ⇒ 0.375.
0.425 ⇒ 17/40.
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Lana wants to enclose a garden plot each side of the garden will be 9 feet what is the area of the garden
The area of garden will be 81 feet².
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Each side of the garden = 9 feet
We know that;
⇒ Area of square = Side²
Here, Each side of the garden = 9 feet
Hence, The area of garden = 9²
= 81 feet²
Thus, The area of garden = 81 feet²
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nts
Insurance companies are interested in the average health costs each year for their dients, so that they can
determine the costs of health insurance. Match the vocabulary word with its corresponding example.
All of the insurance company's dients
The cost each year for health care
The average health care cost each year for all of the insurance company's dients
The average health care cost each year for the 400 dients that the insurance company
included in this study
The 400 dients that the insurance company included in this study
The list of the 400 annual health care costs for the dients that the insurance company
indude in the study
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
of Variable
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
what is variable ?A variable in mathematics is a word or an alphabet that stands in for an unknowable quantity, value, or number. In the context of algebra or algebraic expression, the variables are employed specifically. Consider the linear equation x+9=4, which has 9 and 4 as constants and uses x as a variable. There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. The independent variable is often plotted on the x-axis whereas the dependent variable is typically plotted on the y-axis. The independent variable's value also determines
given
Information: The 400 clients' annual health care costs that the insurance provider included in the analysis.
-Variable: The expense of health care per year
400 clients were used as a sample in this study by the insurance business.
The insurance provider included 400 consumers in this survey, providing statistics on the average annual cost of health care for each of them.
-Parameter: The annual average cost of health care for all customers of the insurance provider.
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
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Please help will mark Brainly
Answer:
Y less than
Step-by-step explanation:
Identify the domain and range of the following relation.
x y
-2 -4
1 3
0 0
1 4
4 6
-1 -2
Answer:
domain = - 2, 1, 0, 1, 4, - 1
range = - 4, 3, 0, 4, 6, - 2
Step-by-step explanation:
x is domain
y is range
Rewrite 6 - 6 - 6 - 6 in exponential notation.
Rewriting 6-6-6-6 in exponential notation is -1.2×10¹
What is exponential notation?Exponential notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form.
When writing in exponential notation, it must be in standard l i.e writing in this format 3.577× 10⁴ not 35.77× 10³.
Though both of the expression are literally correct but 3.577× 10⁴ is the acceptable way of writing a scientific notation.
similarly 6-6-6-6 will give -12
writing -12 in exponential notation is -1.2×10¹
Therefore the exponential notation of 6-6-6-6 is -1.2×10¹.
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The sum of two angles is 85, one angle is five more than the measure of the other angle. Write the equation that represents this scenario and find the measure of each angle. Be sure to show your
work.
Therefore , the solution of the given problem of angles comes out to be equation : x+ y =85°.
'
An angle is what?In Euclidean geometry, an angle is a shape that is made up of two rays, known as the tone's flanks, that meet at a midpoint known as such angle's vertex. Two rays may combine to form an angle there in plane where they are positioned. When two planes collide, an angular is also generated. They are referred to as dihedral angles. An angle in plane geometry is the possible configuration of two rays of lines that share a termination. The origin of the English term "angle" is the Latin phrase "angulus," which meaning "horn." The vertex is the point in which the two vectors, also known as that of the faces of the angle, converge.
Here,
Given :
Let two angles be x and y is
=> x+ y =85°
So, the equation is represented as x+ y =85°.
Therefore , the solution of the given problem of angle comes out to be equation : x+ y =85°.
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XYZ Company
Balance Sheet
Assets
Cash
$45,000
Inventory $41,000
Property $134,000
Total Assets:
Liabilities
Notes
Wages
Equity
Stock
$55,000
$56,000
$50,000
Investment $59,000
Total Liabilities + Equity:
Using the balance
sheet, calculate XYZ
Company's total
assets - liabilities.
Total Assets - Liabilities = $ [?]
Enter
PH
Skip
On solving the provided question, we can say that - by formula of simple interest we have SI = [tex]2200 X 2 X 4/100 = > 17600/100 = > 176[/tex]
what is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
here
principal, p = 2200
rate, r = 2%
time, t = 4 rs,
so SI = P X R X T/100
SI -
[tex]2200 X 2 X 4/100\\17600/100\\176[/tex]
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a local zoo has 900 pounds of bamboo to feed the giant panda. Each day, the giant panda eats 30 pound of bamboo. An accident happens and 125 pounds of the bamboo cannot be fed to the giant panda Determine the range of the number of days the zoo has more than 500 pounds of bamboo left.
The range of days to have 500 pounds left is 30 - 17.5 days
What is range?The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
For example the range in the ages 10,15,11,12,18 of students in a class is 18-10 = 8
The maximum days to feed the giant panda if the giant panda feeds on 30pounds per day is 900/30 = 30days
but due to accident 125 pounds are not good
Therefore the new pound of bamboo = 900- 125 = 875 pounds
The range of pounds when the minimum pound is 500 = 875-500 = 375 pounds
therefore no of days on 375 pounds = 375/30 = 12.5
Therefore the range of days to have more thanq 500 pounds = 30-12.5 = 17.5 days
The range of days the zoo has more than 500 pounds of bamboo is 30 - 17.5days
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This is an unusual question it isn't school related but I'm trying to reverse engineer a formula for WAR ( Baseball statistic) using the variables of OBP (.340) SLG (.430) league average OBP (.324) league average SLG (.413) plate appearances (600) and games played (150) the WAR after all that is an even 2.0 so I'm wondering if anyone on here could reverse engineer an equation using those variables to get 2 as an answer please and thank you
Jocelyn has a collection of 100 coins. How many coins represent 25% of her collection?
25 coins represent 25 percent of Jocelyn's collection.
What is the percentage?A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals. The symbol "%" is frequently written after the number to indicate percentages.
given, Jocelyn has a collection of 100 coins.
100% of her collection represents = 100 coins
1 % of her collection represents = 100/100 coins
1% of her collection represents = 1 coin
thus,
25% of her collection represents = 1*25 coins
25% of her collection represents = 25 coins
therefore, 25 percent of the collection of Jocelyn represents 25 coins.
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You bought a new laptop and paid an initial payment of $150 you will make 12 payments of $69.50 how much would the computer cost if your state tried to 6% sales tax
The cost of the computer if the sales tax is 6% is 924.96 dollars.
How to find the cost of the computer after sales tax?You bought a new laptop and paid an initial payment of $150. You will make 12 payments of $69.50.
The amount the computer cost if the your state charge 6% sales tax can be calculated as follows;
Install mental payment = 12 × 69.50
Install mental payment = 834 dollars
You already made payment of 150 dollars.
Therefore,
total payment including sale tax = 150 + 834
total payment including sale tax = 984 dollars
Sales tax = 6% of 984
Sales tax = 6 / 100 × 984
Sales tax = 5904 / 100
Sales tax = 59.04 dollars
Therefore,
cost of the computer = 984 - 59.04
cost of the computer = 924.96 dollars
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Brielle entered a contest at work that awards prizes to individuals who walk 10,000 steps a day. On the first day of the contest, Brielle checks her Fitbit at 12:00 PM and sees that she has already completed of the goal. How many steps has Brielle already walked at 12:00 PM? 3/8
Answer:
3750
I wish you luck in your assignments.
The Science Club went on a two-day field trip. On the first day, the members paid $60 for transportation plus $15 per ticket to the planetarium. On the second day, they paid $95 for transportation plus $12 per ticket to the geology museum.
Write an expression to represent the total cost for two days for the ₙ members of the club.
Answer: Let n be the number of members in the Science Club.
On the first day, the total cost for transportation plus the cost of tickets is 60 + (15n) dollars.
On the second day, the total cost for transportation plus the cost of tickets is 95 + (12n) dollars.
So, the total cost for both days is (60 + 15n) + (95 + 12n) = 155 + 27n dollars.
The expression to represent the total cost for two days for the n members of the club is 155 + 27n dollars.
This equation represents the total cost for the transportation, planetarium and geology museum for 2 days for the n members in the club.
It should be noted that this is the monetary representation and it might vary depending on other factors, such as group discounts.
Step-by-step explanation:
Answer:
(n x 27)+155
Step-by-step explanation:
15 +12 = 27
Each member pays $27 for the tickets so we multiply it by the number of members.
95 + 60 = 155
The members pay $155 in total for transportation.
What is the image of the point (0,4) after a rotation of 180 degrees counterclockwise about the origin?
The image point of (0, 4) is (0, -4).
What is Cartesian plane?The intersection of the x- and y-axes creates the two-dimensional coordinate plane known as the cartesian plane. The origin is the point at where the x- and y-axes cross perpendicularly.
The Cartesian coordinate point (x, y) indicates that the distance from the origin is x in the horizontal direction and y in the vertical direction. The point is to the right of the origin if the sign of x is positive; otherwise, it is to the left.
Given points (0, 4)
to find image of the point (0,4) after a rotation of 180 degrees,
The initial coordinates (x, y) of a point become when we rotate it by 180 degrees around the origin (-x, -y).
So,
-0 is just 0 (since 0 is both negative and positive)
-(4) is -4
This makes our new point (0, -5).
Hence the image of point is (0, -4).
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what is m=5 n=3 mn+9
Answer: 24
Step-by-step explanation:
Given that m=5 and n=3, we can plug our values into the given expression to evaluate.
(5)(3)+9 [multiply]
15+9 [add]
24
The reason we multiplied before we added was due to the order of operations. Order of operations tells us to always multiply or divide first before we add or subtract. In this case, the multiplication happens to come first so we multiply, then add.
The legislature in a state has 50 seats. Apportion these seats to the five counties below using Lowndes' method.
County Population Seats Received
Adams 71,000
Grant 483,000
Colton 224,000
Davis 406,000
Hayes 444,000
Answer: hi
Step-by-step explanation:
To apportion the 50 seats using Lowndes' method, you will need to follow these steps:
Calculate the apportionment ratio for each county by dividing the population of the county by the total population of the state.
Multiply the apportionment ratio for each county by the number of seats to be apportioned. This will give you the initial allocation of seats for each county.
Distribute the remaining seats (if any) to the counties with the largest remainders (the difference between the initial allocation of seats and the whole number of seats). If there are multiple counties with the largest remainders, distribute the seats among these counties based on their remainders.
Here is the apportionment for the five counties using these steps:
County Population Apportionment Ratio Initial Allocation Seats Received
Adams 71,000 0.088 4.4 4
Grant 483,000 0.591 28.9 29
Colton 224,000 0.274 13.7 14
Davis 406,000 0.500 25.0 25
Hayes 444,000 0.547 27.4 27
Total 1,928,000 50 50
So using Lowndes' method, Adams County would receive 4 seats, Grant County would receive 29 seats, Colton County would receive 14 seats, Davis County would receive 25 seats, and Hayes County would receive 27 seats.
The Students' Union needs to order some pens and notebooks. How much does it cost to order 1000 pens and 2000 notebooks?
$
Pen
Quantity 100 250 500 1000 2500 5000
Price per pen (cents) 80c 72c 66c 60c 52c 45c
Notebook
Quantity 100 250 500 1000 2500 5000
Price per notebook (cents) 99c 86c 80c 76c 72c 70c
The cost to order 1, 000 pens and 2, 000 notebooks, by the Student Union, can be found to be
How to find the cost of ordering the pens and notebooks ?The cost of ordering 1, 000 pens is shown to be 60 cents per pen so the total cost would be :
= Number of pens x Cost per pen
= 1, 000 x 60 cents
= $ 600
The cost of ordering 2, 000 notebooks is 76 cents per notebook which comes to a total of :
= 2, 000 x 76 cents
= $ 1, 520
The total cost of ordering the pens and notebooks is:
= 600 + 1, 520
= $ 2, 120
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Bradenton Bakery is baking a cake for a customer's quinceañera. The cake mold is shaped like a cylinder with a diameter of 12 inches and height of 8 inches.
Which of the following shows a correct method to calculate the number of cubic units of cake batter needed to fill the mold? Approximate using pi equals 355 over 113.
V equals 355 over 113 times 12 squared times 8
V equals 355 over 113 times 6 squared times 8
V equals 355 over 113 times 8 squared times 6
V equals 355 over 113 times 8 squared times 12
Therefore , the solution of the given problem of volume comes out to be
V =355/113 * (5)² * 7 thus correct option is V equals 355 over 113 times 6 squared times 8.
Define volume.Volume, which is expressed in cubic units, is a unit of measurement for the 3-dimensional space occupied by matter or encircled by a surface. The SI unit of volume = area * height is the cubic metre (m3), which is a derived unit. A "litre" (L) is the name given to the cubic decimeter (dm3).
Here,
The volume of cylinder = πr²h
Given : Diameter = 12 inches
radius = 12/2 = 6 inches
Height = 8 inches
Thus ,
To find the volume we put the all the above values in the formula:
=> V = πr²h
=> V = 22/7 * 6² * 8
=> V =355/113 * (6)² * 8
Therefore , the solution of the given problem of volume comes out to be
V =355/113 * (5)² * 7 thus correct option is V equals 355 over 113 times 6 squared times 8.
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Answer:
V equals 355 over 113 times 6 squared times 8.
Step-by-step explanation:
A pilot must log at least 1100 hours to fly an aircraft. Jabari logged 300 hours. How many more hours must he log to qualify
Answer: 800 more hours is required to fly an aircraft
Step-by-step explanation: