Marci has taken out a loan of $5,000 for a term of 24 months (2 years) at an interest rate of 8.5%. Use the amortization table provided to complete the statement.
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
Marci’s monthly payment will be $------, and her total finance charge over the course of the loan will be $------- .
Answers
Answer:
Correct answers are Marci's monthly payment: $227.30, and total finance charge: $455.20.
Step-by-step explanation:
24 months (2 years)
$45.46 x 5 = $227.30
$227.30 x 24 = $5,455.20
$5,455.20 - $5,000 = $455.20
Related Questions
The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school: which of the choices below best describes how to measure the speed of these data? (hint: use the minimum and maximum values to check for outliers)
Answers
The college spread is best described by the IQR while the high school spread is best described by the standard deviation.
How to measure the spread of these data?In order to measure the spread of these data, we would use the minimum and maximum values to check for any outlier as follows:
For College, we have:
Q₁ - (1.5 × IQR)
7.5 - (1.5 × 7.5) = -3.75.
Q₃ + (1.5 × IQR)
15 + (1.5 × 7.5) = 26.25.
Therefore, the IQR is a better measure of the spread of these data.
For High school, we have:
Q₁ - (1.5 × IQR)
9.5 - (1.5 × 5) = 2.
Q₃ + (1.5 × IQR)
14.5 + (1.5 × 5) = 22.
Since there are no outliers, the standard deviation is a better measure of the spread of these data.
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Select all that apply.
Which symbols could be used to make the following statement true?
-15 ___ -19
≤
<
≥
=
≠
>
Answers
Answer:
>
Step-by-step explanation:
-19 is less than -15 so it will be >
Sammy wants to spend no more than $35 at the arcade. If he is playing games at the arcade that each cost $0.75, which inequality can be used to find g, the number of games that Sammy can play and stay within his goal
Answers
Answer:
0.75 g ≤ 35
Step-by-step explanation:
if each games costs $0.75, then the answer of g will be given by 35/0.75.
he can go up to exactly $35 but not over
so, the inequality is given by 0.75 g ≤ 35
GIFT SHOP A gift shop sells souvenir magnets. The store is selling 3 magnets for $10. At this price, how much will it cost to buy 8 magnets?
Answers
WILL GIVE BRAINLIEST!!
How do identify which side is the hypotenuse of a right triangle?
Answers
Build a decimal number with: 8 in hundredths place, 6 in ones place, 4 in tenths place.
Answers
Answer:
6.48
Step-by-step explanation:
6.48
For which of the following displays of data is it not possible to find the mean histogram frequency, table, stem, and leaf plot doc plot
Answers
The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.
A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.
A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.
A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.
A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.
In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
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Please help. I’ll mark you as brainliest if correct . I don’t understand this math problem. Thank you .
Answers
Answer:
That can be factored as
(x -1 (1/3) ) * ( x +3) * (x -4/5)
and the zeroes are located at:
x = 1.33333333... x = -3 and x = .8
Step-by-step explanation:
Answer:
\(\boxed{\sf \ \ \ f(x)=(x+3)(5x-4)(3x-4) \ \ \ }\)
Step-by-step explanation:
We need to factorise the following function
\(f(x)=15 x^3+13 x^2-80 x+48\)
-3 is a trivial solution, we can notice that f(-3)=0
so we can factorise by (x+3)
let s note a, b and c real and let s write
\(f(x)=15 x^3+13 x^2-80 x+48=(x+3)(ax^2+bx+c)\)
\((x+3)(ax^2+bx+c) = ax^3+bx^2+cx+3ax^2+3bx+3c=ax^3+(b+3a)x^2+(3b+c)x+3c\)
let s identify...
the terms in \(x^3\)
15 = a
the terms in \(x^2\)
13 = b + 3a
the terms in x
-80 = 3b+c
the constant terms
48 = 3c
so it comes, c=48/3=16, a = 15, b = 13-3*15=13-45=-32
so \(f(x)=(x+3)(15x^2-32x+16)\)
\(\Delta=32^2-4*15*16=64\)
so the roots of \((15x^2-32x+16)\) are
\(\dfrac{32-8}{15*2}=\dfrac{24}{30}=\dfrac{12}{15}=\dfrac{4}{5}\)
and
\(\dfrac{32+8}{15*2}=\dfrac{40}{30}=\dfrac{20}{15}=\dfrac{4}{3}\)
so \(f(x)=(x+3)(5x-4)(3x-4)\)
the zeros are -3, 4/5, 4/3
What’s the answer I need help with this last problem
Answers
Answer:
Hope the picture will help you
b. Does there appear to be any relationship between these two variables?
a. colder average low-temperature seems to lead to higher amounts of snowfall
b. there is no relationship
c. colder average low-temperature seems to lead to lower amounts of snowfall
c. Based on the scatter diagram, comment on any data points that seem to be unusual.
an average snowfall of nearly 100 inches.
a. no city has
b. only one city has
c. two cities have
d. three cities have
e. four cities have
f. more than four cities have
Answers
1. There is no relationship
2. Two cities have an average snowfall of nearly 100 inches.
What is the scatter plot?
A scatter plot, also known as a scatter diagram or scatter graph, displays the relationship between two variables. It is particularly beneficial for identifying any patterns or trends in the data and showing how one variable might be related to another.
In a scatter plot, each data point is represented on the graph by a dot or marker. The horizontal axis (x-axis) is frequently used to represent the independent variable or predictor, while the vertical axis (y-axis) is frequently used to represent the dependent variable or reaction. Each dot's locations on the graph correspond to the values of the two variables for that particular data point.
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In a line of boys,Peter is the 11th from either side of the line. how many boys are in the line 5pionts because its simple
Answers
Answer: 21
Step-by-step explanation:
A phone company charges a base fee of $12 per month plus an additional charge per minute.the monthly phone cost c can be represented by this equation: c=12+a •m, where a is the additional charge per minute, and m is the number of minutes used.
What equation can be used to find the number of minutes a customer used I we know a and c
Answers
Answer:
Hi there!
Your answer is
(C-12)/A = M
Step-by-step explanation
c=12+a * m
SOLVE FOR M!
C=12+AM
-12
C-12+AM
Divide out A to isolate M
(C-12)/A = M
The equation that can be used to find the number of minutes[m] a customer used is - m = (c - 12)/a
What is equation rearrangement?
Equation rearrangement is a process of arranging the equation parameters in terms of a specific parameter.
Given is a phone company that charges a base fee of $12 per month plus an additional charge per minute. The monthly phone charge cost [c] can be represented by the equation: c = 12 + a x m, where [a] is the additional charge per minute, and [m] is the number of minutes used.
The given equation is -
c = 12 + a x m
Since, we know the values of [a] and [c], we can solve for [m] as follows -
c = 12 + a x m
c - 12 = a x m
m = (c - 12)/a
Therefore, the equation that can be used to find the number of minutes[m] a customer used is -
m = (c - 12)/a
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let v be a real vector space. suppose that v1, v2, v3, v4 are vectors in v which are linearly independent. show that the vectors v1, v1 v2, v1 v2 v3, v1 v2 v3 v4 are also linearly independent.
Answers
given that v1,v2 ,v3,v4 is linearly independent vector so in order for a set of vectors to be linearly independent it must satisfy the below conditon:
\(x_1v1+x_2v2+x_3v3+x_4v4\) =0 --(i)
where \(x_1, x_2,x_3 ,x_4\) is some real numbers.
a) so in order to show that v1,v2+v4,v3 is linearly independent we have to
check if equations formed by these vectors can be transformed into some equation of equation (i) form.
so we have :
\(x_1v1+x_2(v2+v4) +x_3v3\) ---(ii)
where \(x_1, x_2,x_3\) is some real numbers.
after evaluating equation (ii) we have:
\(x_1v1+x_2v2+x_3v3+x_2v4\)
so the above equation is now transformed in the form of equation (i) where \(x_2 = x_4\)
and hence \(x_1v1+x_2v2+x_3v3+x_2v4\) =0 ----(iii)
equation (iii) shows that the set of given vectors are linearly independent.
b) so in order to show that v1 +v2, v3, v4 is linearly independent we have to check if equations formed by these vectors can be transformed into some equation of equation (i) form.
so we have this equation:
\(x_1(v1+v2)+ x_2v3 + x_3v4\) where \(x_1, x_2,x_3\) is some real numbers.
after evaluating equation (iv) we have:
\(x_1v1+x_1v2+x_2v3+x_3v4\)
so the above equation is now transformed in the form of equation (i) where the cofficient of v2 is also \(x_1\)
and hence \(x_1v1+x_1v2+x_2v3+x_3v4\) =0 ----(v)
equation (v) shows that the set of given vectors are linearly independent.
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Complete question :
let v be a real vector space. suppose that v1, v2, v3, v4 are vectors in v which are linearly independent. show that the vectors a) v1, v2+v4, v3 and b) v1 +v2, v3, v4 are also linearly independent.
The vectors v1, v1+v2, v1+v2+v3, v1+v2+v3+v4 are also linearly independent is hence proved.
let v be a real vector space.
The v1, v2, v3, v4 are vectors in v which are linearly independent.
V={v1, v2, v3, v4} then set V is called linearly independent if \(\forall \alpha_i \in F \\\).
∝1v1+∝2v2+∝3v3+..........+∝nvn=0
then, \(\forall \alpha_i =0 \\\) i=1,2,3......n.
let ∝1,∝2,∝3,∝4 ε F
∝1v1+∝2(v1+v2)+∝3(v1+v2+v3)+∝4(v1+v2+v3+v4)=0
v1(∝1+∝2+∝3+∝4)+v2(∝2+∝3+∝4)+v3(∝3+∝4)+v4.∝4=0
Since v1, v2, v3, v4 are linearly independent vectors.
So ∝1+∝2+∝3+∝4=0......(1)
∝2+∝3+∝4=0....(2)
∝3+∝4=0....(3)
∝4=0...(4)
Solving eq(1), (2), (3), (4)
we get ∝1=∝2=∝3=∝4=0
So according to definition of linearly independent vectors.
A set of vectors is called linearly independent if no vector in the set can be expressed as a linear combination of the other vectors in the set. If any of the vectors can be expressed as a linear combination of the others, then the set is said to be linearly dependent.
So v1, v1+v2, v1+v2+v3, v1+v2+v3+v4 are also linearly independent vectors hence proved.
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What is 5.5.5 written in exponential form?
A
25
B
53
с
15
D
55
Answers
Answer:
5^3
Step-by-step explanation:
5*5*5
5 multiplied 3 times is
5^3
Answer:
5 ^ 3
Step-by-step explanation:
perform the indicated operation 2 1/6+7 3/6
Answers
The solution to the indicated operation will be 9 and 2/3.
We have to find the sum of 2 and 1/6 and 7 and 3/6.
We can write the mixed fractions as:-
2 and 1/6 = 13/6
7 and 3/6 = 45/6
Adding the improper fractions, we get,
(13+45)/6 = 58/6 = 29/3
We can this improper fraction write it as :-
9 and 2/3
Mixed fraction
It is a form of a fraction which is defined as the ones having a fraction and a whole number.
2 and (1/7), where 2 is a whole number and 1/7 is a fraction.
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I have a problem what is 27 divided by 655
Answers
Answer:
0.04122137404 is the answer
Answer: 0.041221374
Step-by-step explanation: According to Bing, 0.041221374 is your answer.
each year america.edu ranks the best paying college degrees in america. the following data show the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the college degrees with the highest mid-career salary (america.edu website). click on the datafile logo to reference the data. degree starting salary mid-career salary % increase aerospace engineering 59,400 108,000 82 applied mathematics 56,400 101,000 79 biomedical engineering 54,800 101,000 84 chemical engineering 64,800 108,000 67 civil engineering 53,500 93,400 75 computer engineering 61,200 87,700 43 computer science 56,200 97,700 74 construction management 50,400 87,000 73 economics 48,800 97,800 100 electrical engineering 60,800 104,000 71 finance 47,500 91,500 93 government 41,500 88,300 113 information systems 49,300 87,100 77 management info. systems 50,900 90,300 77 mathematics 46,400 88,300 90 nuclear engineering 63,900 104,000 63 petroleum engineering 93,000 157,000 69 physics 50,700 99,600 96 software engineering 56,700 91,300 61 statistics 50,000 93,400 87
Answers
Construct the histogram for the percentage increase in the starting salary by using 10 as the class width.
Answer Output using MINITAB software is given below at the end of answer (bar graph)
Frequency:
The frequencies are calculated by using the tally mark and the range of the starting salary is grouped and the range is from 40 to 120. Here the number of times each percentage increase repeats is the frequency of that particular class.
The width of class is 10.
Make a tally mark for each value in the corresponding revenue class and continue for all values in the data.
The number of tally marks in each class represents the frequency, f of that class.
Similarly, the frequency of remaining classes for the percentage increase is given below at the end of the answer.
The data represents the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid-career salary.
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Determine a series of transformations that would map Figure G onto Figure H.
Answers
Answer:
steps below
Step-by-step explanation:
1. ABCD dilate from origin (0,0) with scale factor of 2/3 to A'B'C'D'
2. A'B'C'D' reflect about Y axis to be A''B''C''D''
An apple has 80 calories. This is 12 less than 1/4 the number of calories in a package of candy. How many calories are in the candy.
Pls helpp
Answers
Answer:
368 calories are in the candy.
Step-by-step explanation:
80 + 12 = 92.
92 x 4 = 368.
PLEASE HELP WILL GIVE BRAINLIEST
The number of automobiles in a certain town was 1,890 in 2015, and it was 2,420 in 2020. If we were to make a linear model that gives the number of automobiles in this town as a function of the number of years since 2015, what would be the y-intercept?
Answers
The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).
To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.
Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:
slope = (change in number of automobiles) / (change in number of years)
slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year
Now we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).
y - 1890 = 106(x - 2015)
To find the y-intercept, we can set x = 0:
y - 1890 = 106(0 - 2015)
y - 1890 = -213,290
y = 211,400
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55 POINTS QUICK PLS Your friend is able to invest $120 a month in a 401(k) with a predicted growth rate of 3%. Your friend's company will match 50% of your friend's contributions.
Answers
a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.
b. The total monthly contribution to the fund is $180.
The computation of FV in Excel is shown in the attachment below:
What is meant by growth rate?Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.
GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.
20 years is the age.
20 times 12 periods equals 240.
3% growth rate
The computation of FV in Excel is shown in the attachment below:
So, FV= $7,223,115.77
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Which type of function best models the data in the set of ordered pairs?
(-2, 16),(-1, 8), (0,4), (1, 2), (2,1)
Your answer:
A.Linear
B.Quadratic
C.Exponential
Answers
Answer:
C) Exponential
Step-by-step explanation:
If you divide the consecutive y-values, you'll get a consistent result of 2:
16/8 = 2
8/4 = 2
4/2 = 2
2/1 = 2
This type of pattern corresponds to an Exponential Function.
In a survey at a local university, 62% of students say that they get less than the recommended eight hours of sleep per night. In a grouo of 4300 students, how many would you expect get eight or more hours of sleep per night?
Answers
Answer:
Number Students= 1,634
Step-by-step explanation:
Giving the following information:
In a survey at a local university, 62% of students say that they get less than the recommended eight hours of sleep per night.
Group= 4,300 students
To calculate the number of students that sleeps at least 8 hours, we need to use the following formula:
Students= 4,300*(1-0.62)
Students= 4,300*0.38
Students= 1,634
Need help with the provided questions
Answers
In Math town,60% of the population are males and 30% of them have brown eyes. Of the total math town population 28 % have brown eyes. What percentage of the females in math town have brown eyes?
Answers
25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes
what is percent ?
A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".
In the given question,
Let's assume that there are 100 people in Math town.
60% of them are males, so there are 60 males and 40 females.
Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.
28% of the entire population have brown eyes, so there are 28 people with brown eyes.
To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:
28 - 18 = 10
So, there are 10 females with brown eyes.
Out of the 40 females in Math town, what percentage have brown eyes?
10 brown-eyed females out of 40 females is:
10/40 = 0.25 or 25%
Therefore, 25% of the females in Math town have brown eyes.
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Please help if you can, this is due tomorrow.
In the diagram below, $\angle BAC=24^\circ$ and $AB=AC$.
If $\angle ABC=y^\circ$, what is the value of $y$?
[asy]
size(4.25cm);
pair a=(0,cos(pi/15)); pair b=(-sin(pi/15),0); pair c=-b; pair d=c+(1,0);
dot(a); dot(b); dot(c);
draw(c--a--b--c);
draw((2*a+3*b)/5-0.05*(cos(pi/15),-sin(pi/15))--(2*a+3*b)/5+0.05*(cos(pi/15),-sin(pi/15)));
draw((2*a+3*c)/5-0.05*(cos(pi/15),sin(pi/15))--(2*a+3*c)/5+0.05*(cos(pi/15),sin(pi/15)));
label(scale(0.75)*"$24^\circ$",a-(0,0.3),S);
label("$A$",a,N);
label("$B$",b,SSW);
label("$C$",c,S);
label(scale(0.85)*"$y^\circ$",b,NE);
[/asy]
Answers
The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
What is equation?Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.
From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.
This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.
In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
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Answer:
78
Step-by-step explanation:
Roy used 1/4 of his money on 3 pens and 6 notebooks. The cost of each pen is 3 times the cost of each notebook. He bought some more pens with 2/3 of his remaining money. How many pens did Roy buy altogether?
Answers
=========================================================
Explanation:
Roy spends 1/4 of his money on 3 pens and 6 notebooks. That means 3/4 of it is leftover.
2/3 of 3/4 = (2/3)*(3/4) = 1/2 of his money is spent on buying some unknown number of additional pens. We'll come back to this later.
---------------
In terms of cost,
1 pen = 3 notebooks
which is another way of saying 1 pen is the same price as 3 notebooks.
Multiply both sides by 2 to get
2 pens = 6 notebooks
Therefore, saying "3 pens + 6 notebooks" is the same as "3 pens + 2 pens = 5 pens" when just thinking about costs.
---------------
In short, Roy buying 3 pens and 6 notebooks is the same as him buying 5 pens. He spends 1/4 = 25% of his money on getting these 5 pens.
Multiply those two values by 2 to find that 50% = 1/2 of his money would allow him to get 10 pens.
--------------
Recall that at the end of the first section, we concluded that Roy spent 1/2 of his money on buying those unknown additional number of pens. Then the previous section mentioned that 1/2 of his money gets him 10 pens. Therefore, he must have bought 10 additional pens on top of the original 3 mentioned in the instructions.
Overall, he purchased 3+10 = 13 pens
Answer:
13 pens
Step-by-step explanation:
If a pen costs 3 times the cost of a notebook, then the cost of 3 notebooks will equal the cost of a pen. The 6 notebooks that Roy bought are equivalent in cost to 2 pens, so 1/4 of Roy's money is the cost of 3+2 = 5 pens.
After the first purchase, Roy has (1 -1/4) = 3/4 of his money remaining. If he spends 2/3 of that on more pens, he will have spent ...
(2/3)(3/4) = 2/4
of his money on more pens. We've already seen that 1/4 of his money buys 5 pens, so 2/4 will buy 10 more pens.
Roy bought 3 +10 = 13 pens altogether.
What is the determinant of H=[0 2 3 -1 3 5 6 3 -2]
–58
–7
4
58
![What is the determinant of H=[0 2 3 -1 3 5 6 3 -2]587458](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/vlige4j1wRxxVZqQzEpxguGZujuCVQhe.png)
Answers
Answer:
-7
Step-by-step explanation:
right on edge 2021
The determinant of the provided matrix is -7 after opening the matrix option (B) -7 is correct.
What is the matrix?It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.
It is given that a matrix:
\(\rm H = \left[\begin{array}{ccc}0&2&3\\-1&3&5\\6&3&-2\end{array}\right]\)
As we know, the determinant in arithmetic is a real number that is a variable of the rows and columns of a square matrix. It lets specifying a few aspects of the matrix and the linear map that the matrix provides.
Open the above matrix to find the determinant:
|H| = 0[(-6 - 15)] - (-1)[-4 - 9] + 6[10 - 9]
|H| = 0[-21] - (-1)[-13] + 6[1]
|H| = 0 - 13 + 6
|H| = -7
Thus, the determinant of the provided matrix is -7 after opening the matrix option (B) -7 is correct.
Learn more about the matrix here:
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Find the equation of the line that goes through (2,9) and (-1,5) in point-slope form
Answers
Answer:
y-9=4/3(x-2)
Step-by-step explanation:
First, find your slope:
The formula for finding slope is \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\).
Our coordinate point for our x₁ and y₁ values will be (2,9) and our coordinate point for our x₂ and y₂ values will be (-1,5). Now, let's plug those into our formula:
\(m=\frac{5-9}{-1-2}=\frac{-4}{-3}=\frac{4}{3}\)
Your slope is 4/3.
Next, plug in your x₁ and y₁ values in for point-slope form. The equation in variable form is "y-y₁=m(x-x₁)". So, plugging in our point (2,9) for x₁ and y₁, we get:
y-9=4/3(x-2)
A used-car costs $5,000. You figure you can get 4 years out of it. You drive 10,000 miles per year. Your car insurance costs $1,200 per year. You figure you'll spend $400 per year on maintenance. Gas costs $3 per gallon, and the car gets 25 miles per gallon. What will your average cost (all costs included) per mile be over the 4 years?
Answers
Answer:
26,800
Step-by-step explanation:
Im not sure but thats what I got
Answer:
$0.405
I just took the test.