Answer:
To determine the maximum loan amount you can afford, you need to know the amount of your monthly payment and the annual percentage rate (APR) of the loan. The APR is the interest rate of the loan, expressed as a yearly rate. It takes into account not only the interest rate, but also any fees or other charges associated with the loan.
In this case, you know that you can make monthly payments of $450 and that the APR of the loan is 6.5%. To determine the maximum loan amount you can afford, you can use the following formula:
Maximum loan amount = (Monthly payment / (APR / 100 / 12)) * (1 - (1 + (APR / 100 / 12))^-n)
where n is the number of monthly payments. In this case, you are taking out a 5-year loan, which means you will make 60 monthly payments (5 years * 12 months/year = 60 months), so n = 60. Plugging these values into the formula, we have
Maximum loan amount = ($450 / (6.5% / 100 / 12)) * (1 - (1 + (6.5% / 100 / 12))^-60)
= ($450 / 0.00542) * (1 - (1 + 0.00542)^-60)
= $83,146.54
Therefore, the maximum loan amount you can afford is $83,146.54. This is the maximum amount you can borrow, assuming that you make monthly payments of $450 and the APR of the loan is 6.5%. You should carefully consider your ability to make these monthly payments before taking out a loan of this amount.
Step-by-step explanation:
Answer: Monthly Payment: $8.80
Total Interest Paid: $78.29
Total Paid: $528.29
Step-by-step explanation:
Solve the inequality
1. 2x
Answer:
where is the question
Step-by-step explanation:
Please you need to write the full question so it can be answered
thanks
Which of the tables is the appropriate table of conditional percents to discover if the type of student who takes a statistics class at different times of the day affects smoking status?
Three two-way tables are displayed. All three have Smoking (quit, never smoked, and smoker) in the rows and Time of Statistics Class (day, evening) in the columns. The last column in Table A also is a Total column. Table A has the following entries given row by row: quit, 16.7%, 83.3%, 100%; never smoked, 66.7%, 33.3%, 100%; smoker, 25.0%, 75%, 100%. The last row and the last column in Table B are Totals. Table B has the following entries given row by row: quit, 2.7%, 13.7%, 16.4%; never smoked, 52.1%, 26.0%, 78.1%; smoker 1.4%, 4.1%, 5.5%; Total, 56.2%, 43.8%, 100%. The last row in Table C is a Total row. Table C has the following entries given row by row: quit, 4.9%, 31.2%; never smoked, 92.7%, 59.4%; smoker, 2.4%, 9.4%; Total, 100%, 100%.
Table A
Table B
Table C
Aretha had $180 in her bank
account at the end of the week. She
wrote a check for $120, deposited
$250, and spent $75 on groceries
during the week. How much was
in her account at the start of the
week?
should be about $625
Just add all the number up and then subtract the answer you got with the same number except 180 since that's what she has left over. correct me if I'm wrong.
Help with this im being called a failure
Roaring Zoo has 76 different species of birds. Because of cold weather, only 32 species stayed at the zoo, while the others were transported to the barn until warmer weather returned.
Which equation shows how many species of birds were transported?
b − 32 = 76
b + 32 = 76
b − 76 = 32
b + 76 = 32
Answer:
b + 32 = 76
Step-by-step explanation:
Select all of the algebraic expressions that could represent the phrase below.
"nine more than the product of 5 times the number of tires t"
Answer:
a,b,d
Step-by-step explanation:
Answer:
Option A: 9 + 5t
Option B: 5 · t + 9
Option D: (5 × t) + 9
Step-by-step explanation:
Hope This Helped
find the slope of the line with y=7x+2/3
Answer:
slope is 7
Step-by-step explanation:
QUESTION 2
Consider the hyperbolic function (y + 2)(x − 4) = 3.
2.1 Write down the domain and range of the function.
Can someone pls help me with this I’ll mark brainliest
find the value of expression of 1/8 + 4 7/8
Answer:
Hope the picture will help you
Find the slope of the line that passes through (3, 14) and (8, 8).
Answer:
-6/5
Step-by-step explanation:
you would find the difference between the ys and the XS then divide the product of those by [tex]\frac{y}{x}[/tex].
The given point P is located on the unit circle, similar to what is seen in the image below, determine the sine and cos e(P is
not necessarily in Quadrant I).
(0,1)
(-1,0)
(0,-1)
(1,0)
PLS HELP ME ASAP
The sine and cosine of the angle of point P are sin θ = 143/145 and cos θ = -24/145 respectively. Option b. is the answer
How to determine the sine and cosine of the angle of point P?Given the coordinate of the point as P (-24/145, 143/145)
This implies x = -24/145 and y = 143/145
To determine the sine and cosine of the angle of point P, we can make a sketch using this information (see attached image).
opposite = 143/145, adjacent = -24/145
hypotenuse = √[(-24/145)² + (143/145)²] = √1 = 1
Using trigometric ratios:
sin θ = (143/145) / 1 = 143/145 [sin θ = opposite/ hypotenuse]
cos θ = (-24/145) / 1 = -24/145 [cos θ = adjacent/ hypotenuse]
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Car X travels miles in 3 hours. a. Write the equation of the line that describes the relationship between distance and time. Use x for the time in hours and y for the distance in miles. b. What is the graph that represents the relationship between distance and time for Car X? Explain. Question content area bottom Part 1
The required equation would be y = 48x which describes the relationship between distance and time, where x is for the time in hours and y is for the distance in miles.
Car X travels 144 miles in 3 hours.
X represents the time in hours and y represents the distance in miles.
Move 3 units to the right of the origin using the slope and
144 unit(s) up to locate the spot
(3,144), which may be used to plot the connection.
Let the required linear equation be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 0
x₂ = 3, y₂ = 144
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 0 = (144 - 0)/(3 -0 )[x -0]
⇒ y = (144/3)x
⇒ y = 48x
Midsegments of triangles.
Question: Find TV
Answer:
14
Step-by-step explanation:
Since line MU = line MV, therefore line UV = 2 line MU.
Since line UL = line LT, therefore line UT = 2 line LT.
Now we know triangle MUL and triangle VUT are similar using SAS by a scale factor of 2. Since line TV is double the length of line ML.
Line TV 12*2 = 14.
Therefore line TV = 14.
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Which of the following properly expresses the
verbal
statement "The square root of a number, x, is 5
less than
the sum of the number and 2" ?
F. √x = 5-(x + 2)
G√√√x = (x + 2)-5
Answer:F. √x = 5-(x + 2)
Step-by-step explanation:
Mi-Cha and her friends are going to a bounce music festival in New Orleans.
They decide to buy hoodies at the festival. A table showing the relationship between the number of hoodies and the total cost of the hoodies is shown.
The total cost is 16 times greater than the number of hoodies, hence option A is correct.
What is the average cost of an item?
The average price of products and services is the average cost. The average of these numbers will provide the average cost price when we have a number of nearly identical things to sell or purchase. It facilitates the purchasing and selling procedure for store owners.
The average cost is calculated as the sum of all product costs divided by the total number of goods. The word "average" is also used in math. The term "mean of data" refers to the average of any given set of data. The average, however, is thought to be the appropriate term in corporate contexts where profit and loss are crucial elements.
Given that,
1 hoodie costs $16
2 hoodies cost $32
3 hoodies cost $48
4 hoodies cost $64
5 hoodies cost $80
Thus, the relation between total cost and the number of hoodies can be found be dividing the cost upon the number of hoodies
∴ The relation = $80/5
Hence, cost of a hoodie is $16
We can say that option A, the total cost is 16 times greater than the number of hoodies.
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B is the midpoint of AC, where the coordinates of A are (2, 8) and the coordinates of B are (-2, 2). What are the coordinates of C
A) (-6,-4)
B) (0.5)
C) (0, 10)
D) (6, 14)
The coordinates of C are (-6, -4) if B is the midpoint of AC and the coordinates of A and B are (2, 8) and (-2, 2).
What is a mid-point in coordinate-geometry?The midpoint of the line segment is what the term "midpoint theorem" in coordinate geometry refers to. You can determine it by averaging the coordinates of the specified endpoints, which defines the coordinate locations of the line segment's midway. In order to get the intersection of the two provided points, the midpoint formula is employed.
Given,
B is the midpoint of AC.
The coordinates of A are (2, 8)
The coordinates of B are (-2, 2)
Here,
We have to find the coordinates of C
We need check the options of C and find the midpoint of A and C
If we get the midpoint same as the coordinates of BC
Then our answer is correct.
First we have to check option A:
A(2, 8) and C(-6, -4)
Midpoint of B(x, y)=((x₁+x₂)/2 , (y₁+y₂)/2)
B(x, y)=((2-6)/2 , (8-4)/2)
=(-2, 2)
So, the coordinates of B are (-2, 2)
So, our choice is correct.
Therefore, the coordinates of C are (-6, -4)
Hence, option A is correct.
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please help me with math i’ll give you brainlist
Answer:
Step-by-step explanation:
Domain = Range = (19,77,10,9\5,0,100)
write
equation parallel
through (4,9) (-3,6) and
passes (14,8)
The equation of the line is 3x - 7y + 51 = 0.
What are Parallel Lines ?
Coplanar, parallel lines that don't cross at any point are called parallel lines. Planes in the same three-dimensional space that never cross each other are said to be parallel.
Since the required line is parallel to the line that passes through (4,9) and (-3,6).
So, The slope will be equal to :
m = (y^2 - y^1) / (x^2 - x^1)
here, x^1 = 4, y^1 = 9, x^2 = -3 and y^2 = 6
∴ m = (6 - 9) / (-3 - 4)
= -3/-7
= 3/7.
We know that, The equation of a line is (y - y^1) = m (x - x^1)
∴ The equation of the required line will be :
y - 9 = 3/7 ( x - 4)
7y - 63 = 3x - 12
3x - 7y + 51 = 0.
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Thomas earned $46.50 in 4 hours at his job today. How much can he earn tomorrow if he works 10 hours at the same hourly rate? Do NOT include a dollar sign in your answer.
Answer:
116.25 0r 116.30
Step-by-step explanation:
To find the hourly rate, divide the pay by the number of hours
So 46.50/4 = 11.625
You should round that to 11.63
Then, multiply the hourly rate by the number of hours worked the next day.
So 11.63 x 10 = 116.30
As part of a survey, 200 boys were asked to name their favorite sport. The results showed that 120 of the boys names football as their favorite sport. What percentage of the boys in the survey named football as their favorite sport?
The percentage of the boys in the survey who named football as their favourite sport is 60%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given as part of a survey, 200 boys were asked to name their favourite sport. The results showed that 120 of the boys names football as their favourite sport.
The percentage of boys who like football as their favourite sport will be calculated as,
Percentage = 120 / 200
Percentage = 0.6 x 100
Percentage = 60%
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please help! I'm almost out of time on my assignment
please look at the picture and answer all the problems (I GIVE U LIKED AND POINTS!)
Answer:
Inequality
a. x<=5
b. x>12
c. x<=-4
d. x>-6
Word Problems
6. x>65
7. x<90
8. x>985
9. x>12
Step-by-step explanation:
Write an equation of a line passing through the point (-4, -11) and perpendicular to the line 4x + 5y = -45.
The required equation of the line is given as y = 5x -6.
To determine the equation of a line passing through the point (-4, -11) and perpendicular to the line 4x + 5y = -45.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the given line
4x + 5y = -45
y = -4/5 - 45
m = -4/5
The equation of the perpendicular line is given as,
y - y₁ = -1/m (x - x₁)
Substitute the value in the above equation,
y + 11 = -1 / -4/5 (x + 4)
y = 5/4(x + 4) - 11
y = 5x + 5 - 11
y = 5x -6
As a result, the needed equation for the line is y = 5x -6.
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y-5=1/2(x-4) what are the coordinates
Answer:
The ordered pair (3, 4) is found in the coordinate system when you move 3 steps to the right on the x-axis and 4 steps upwards on the y-axis.
Step-by-step explanation:
hope this helped:)
brainliest for the brains:)
a racing venue wants to make the charity race 5% longer. If the race was 25km, what is the new race length
The length of the racing venue after the increase of 5 % is 26.25 km
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the increased length of the racing venue be = A
Let the total length of the racing venue be = 25 km
The percentage increase in the length of the racing venue = 5 %
So , the equation will be
Increased length of the racing venue = total length of the racing venue + ( percentage increase in the length of the racing venue x total length )
Substituting the values in the equation , we get
Increased length of the racing venue = 25 + ( 5/100 ) x 25
Increased length of the racing venue = 25 + ( 5/4 )
Increased length of the racing venue = 25 + 1.25
Increased length of the racing venue = 26.25 km
Therefore , the value of A is 26.25 km
Hence ,
The length of the racing venue after the increase of 5 % is 26.25 km
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explain the pattern you found on the table
Picture 1 has 5 green squares. It is one square with a square coming out from each corner.
Describe the table pattern you noticed ? Picture 2 adds an additional square extending out from each corner square, making a total of 9 squares. This pattern continues, adding 4 green squares total each time. This means Picture 3 has 13 squares, Picture 4 has 17 squares, and Picture 5 will have 21 green squares.Picture one has 5 green squares. It is one square with a square coming out from each corner. Picture 2 adds an additional square extending out from each corner square, making a total of 9 squares. This pattern continues, adding 4 squares total each time. This means Picture 3 has 13 squares, Picture 4 has 17 squares, and Picture 5 will have 21 squares.To learn more about table pattern refer
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A metallurgist has one alloy containing 28% aluminum and another containing 59% aluminum. How many pounds of each alloy must he use to make 42 pounds of a third alloy containing 30%
The number of pounds from one alloy is 2.71.
The number of pounds from another alloy is 39.29.
What is an equation?An equation is a mathematical statement of two expressions connected by an equal sign.
We have,
x = pounds from one alloy
y = pounds from the second alloy
Two equation.
28% of x + 59% of y = 30% of 42
0.28x + 0.59y = 0.30 x 42 ______(1)
x + y = 42 _____(2)
Now,
x = 42 - y ________ (3)
Putting (3) in (2)
0.28(42 - y) + 0.59y = 0.30 x 42
11.76 - 0.28y + 0.59y = 12.6
11.76 + 0.31y = 12.6
0.31y = 12.6 - 11.76
0.31y = 0.84
y = 2.71
Now,
x = 42 - y
x = 42 - 2.71
x = 39.29
Thus,
The number of pounds of each alloy is 2.71 and 39.29.
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Rewrite 26/9 as a mixed number
please help I don't know what to do.
The following is a list of movie tickets sold each day for 10 days.
14, 35, 20, 23, 42, 87, 131, 125, 64, 92
Which of the following intervals are appropriate to use when creating a histogram of the data?
0 – 29, 30 – 59, 60 – 89, 90 – 119, 120 – 149
0 – 30, 30 – 55, 55 – 80, 80 – 105, 105 – 130
0 – 24, 25 – 49, 50 – 74, 75 – 99, 100 – 125
0 – 35, 35 – 70, 70 – 105, 105 – 140
The following class intervals should be utilized when making a histogram out of the data: 0 - 30, 30 - 55, 55 - 80, 80 - 105, and 105 - 130. B is the best choice.
What do histograms mean?To visually depict data, a histogram is utilized. The histogram is made up of rectangles with widths equal to the class interval and areas equal to the frequency of the data.
The intervals' widths must match. This implies that there must be an equal distance between the lower bound and the higher bound. Additionally, the lower bound of the subsequent interval's interval must match both its upper and lower bounds.
This means that the intervals must be overlapping. Of all the options, it is 0 – 30, 30 – 55, 55 – 80, 80 – 105, and 105 – 130 that satisfy both conditions.
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Answer:i do believe that it shall be D
Step-by-step explanation: 14 20 23 35 42 64 87 92 125 131 are the order so D can incase all of them
Given quadrilateral ABCD with A(-4,-2), B(-3,2), C(2,4) and D(4,-3). Find the area in square units.
The area of the quadrilateral ABCD, with the vertices coordinates A(-4, -2), B(-3, 2), C(2, 4), and D(4, -3), is 18 square units
What is a quadrilateral?A quadrilateral is a four sided polygon, that has a sum of the interior angles of 360°
The area of the quadrilateral can be calculated as comprising of the area of two triangles, with vertices; B(-3, 2), C(2, 4), D(4, -3), and B(-3, 2), C(2, 4), A(-4, -2)
The area of a triangle with known coordinates of the vertices is precented as follows;
Let (x₁, y₁), (x₂, y₂), (x₃, y₃) represent, the vertices of the triangle, we get;
A = 0.5×|x₁·y₂ - x₂·y₁ + x₂·y₃ - x₃·y₂ + x₃·y₁ - x₁·y₃|
Therefore;
The area, A₁ of the triangle ΔBCD with vertices at the coordinates (-3, 2), (2, 4), (4, -3), is found as follows;
A₁ = 0.5 × |(-3)×4 - 2×2 + 2 ×(-3) - 4 × 4 + 4×2 - (-3)×4| = 9
Similarly, the area, A₂, of the triangle, ΔBCA with vertices (-3, 2), (2, 4), (-4, -2), is found as follows;
A₂ = 0.5 × |(-3)×4 - 2×2 + 2 ×(-2) - (-4) × 4 + (-4)×2 - (-3)×(-2)| = 9
The area of the quadrilateral, A = A₁ + A₂, is therefore;
The area of the A = 9 + 9 = 18
The area of the quadrilateral ABCD is 18 square units
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