The total amount John has to pay in repaying the loan and interest is $18,600
What makes up the total amount John has to pay?
The total amount that John has to pay comprises of the loan principal of $15,000 and the interest on the loan which is computed at the simple interest rate of 6% for the loan duration of 4 years
I=PRT
I=interest for 4 years=unknown
P=loan principal=$15,000
R=interest rate=6%
T=number of years of loan=4
I=$15,000*6%*4
I=$3,600
A=P+I
A=$15,000+$3,600
A=$18,600
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if a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function.
It is true that if a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function.
What do you mean by the term matrix?Without further explanation, matrices represent linear maps and enable explicit computations in linear algebra. In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or a property of such an object. As a result, a significant portion of linear algebra involves the study of matrices, and the majority of the characteristics and operations of abstract linear algebra may be described in terms of matrices. The composition of linear maps, for instance, is represented by matrix multiplication.
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A line passes through point (6, -6) and has a slope of -4/3
Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.
-
Answer:
4x + 3y = 6
A = 4
B = 3
C = 6
Step-by-step explanation:
A line have a function:
y = ax + b
Because the line has a slope of - 4/3
=> a = - 4/3
=> y = - 4/3 x + b
Because the line go through point (6; - 6)
=> - 6 = - 4/3 .6 + b
=> b - 8 = - 6
=> b = 2
=> The function of the line
y = - 4/3 x + 6
=> 3y = - 4x + 6
=> 4x + 3y = 6
HELPPPPPPPPPPPPPPP ILL MARK AS BRAINLIST HELPP
The graphs of the equations can be obtained by finding the intercepts, and drawing a line through the intercepts.
1. Please find attached the graph of 2•x - y - 6 = 0
2. Please find attached the graph of 4•x + 2•y + 8 = 0
How can a graph be drawn using the intercepts?The graph of the linear equations using the x and y intercepts are found as follows;
1. 2•x - y - 6 = 0
Therefore;
2•x - y - 6 = 0
y = 2•x - 6
The y-intercept is given by the point where x = 0
The y-intercept is therefore;
y = 2×0 - 6 = -6
The y-intercept is y = -6The x-intercept is given by the point where y = 0
Therefore;
0 = 2•x - 6
x = 6/2 = 3
The x-intercept is at x = 3Please find attached the graph of 2•x - y - 6 = 0, created using the x and y-intercept.
2. 4•x + 2•y + 8 = 0
Therefore;
4•x + 2•y + 8 = 0
y = -(4•x + 8)/2 = -2•x - 4
y = -2•x - 4
The y-intercept is therefore;
y = -2×0 - 4 = -4
The y-intercept is y = -4
The x-intercept is therefore;
0 = -2•x - 4
x = -4/2 = -2
The x-intercept is at x = -2
Please find attached the graph of 4•x + 2•y + 8 = 0, created using the x and y-intercept.
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Solve for n.
-3=18m+6n
Answer: n= -1/2 -3m
Step-by-step explanation:
HELPPP 25 pointssss MATH
Answer: [tex]\frac{3}{4s}[/tex]
Step-by-step explanation:
3s^2 / 4(s)^3=
3s^2 / 4s^3=
3/4 * s^2/s^3=
3/4 * s^(2-3)=
3/4 * s^(-1)=
3/4 * 1/s=
3*1 / 4s=3/(4s)
1. A parabola has an axis of symmetry y =3 and passes through the point (2, 1). Find
another point that lies on the graph of the parabola. Explain your reasoning.
A parabola has an axis of symmetry y =3 and passes through the point (2, 1), another point that lies on the graph of the parabola is (2,5).
Axis of symmetry:
Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.
Given,
Axis of Symmetry y = 3.
One point = (2,1)
Here we need to find the another point that lies on the graph of the parabola.
Use the axis of symmetry.
Point given (2,1) is 2 units away from that axis, lower.
=> 1 + 2 = 3
Take two units higher,
=> 3 + 2 = 5
and is the another point (2,5), on the same parabola.
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The cross country team left school and trotted to the duck pond at 3mph then ran back to the school at 7mph if the total trip took ten hours how far was the duck pond
Answer:
hey thank you it's I don't know lol thanks
please help need the answer fast
Answer:
n=7
Step-by-step explanation:
identify the meanings of the varibles in the point-slope form of a line
The variables in the point-slope form of a line (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.
Given that the variables in the point-slope form of a line.
The general form of the equation of a line is y - y₁ = m (x-x₁) where m is the slope of line, y₁ and x₁ is any point on the line
It is an equation of degree one x and y represent the coordinate of the point on the line represented in the coordinate plane
m = slope of the line
The general equation of a line is y = mx + c where
m = slope of line
(x₁ , y₁) = it is the given point on the line as data points are represented as (x₁,y₁) , (x₂,y₂) , (x₃,y₃) and so on
(x ,y) = it is any point line where x is any point on the x-axis and y is any point on y-axis
Hence, the variables in the point-slope form of a line where (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.
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Can you help me solve for x in these 3
Find a vector function that represents the curve of intersection of the two surfaces. the cylinder x 2 y 2 = 4 and the surface z = xy. r(t) = 2cos(t) i j k
Let [tex]x=2\cos(t)[/tex] and [tex]y=2\sin(t)[/tex], so that
[tex]x^2 + y^2 = 4\cos^2(t) + 4\sin^2(t) = 4[/tex]
is preserved. Then from the surface equation, we get
[tex]z = xy = 4\cos(t)\sin(t) = 2\sin(2t)[/tex]
The curve of intersection is then given by the vector function
[tex]\vec r(t) = 2\cos(t) \, \vec\imath + 2\sin(t)\,\vec\jmath + 2\sin(2t)\,\vec k[/tex]
True or False? If a grapefruit cost
$0.32 in 1984 and $0.64 in 2006,
then it must have cost $0.48 in
1995.
Answer:
False
Step-by-step explanation:
Without a graph, figure, or any other context the cost of grapefruit in 1995 in not related to the other years by any other facts or figures.
to find the ratio of 7
Answer:
Ratios compare two numbers, usually by dividing them If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10
Step-by-step explanation:
hope this helps u :) have a good day! ^-^
I dont get it pls helpppp ihave ten min left it a test HELP
Answer:
d. p+1
a negative 1 point something decimal plus one negative decimal.
gl sh awty
What is the five number summary for this data set 9,14,15,18,20,22,29,36,36,42,45,51
Answer:
Min = 0
Max = 51
M = 25.5
Q1 = 16.5
Q3 = 39
Hope this helps! <3
5. in an experiment that tested how adding variable quantities of sugar to flowers in a vase made the flowers last longer, the dependent variable would be the
To maintain a healthy weight a dog requires 30 calories of food per pound of body weight. if a certain dog weighs 38.45 ibs how many calories would they require
Step-by-step explanation:
30 cal for 1 lb
x cal for 38.45 lbs
x = 38.45lbs × 30 cals
x = 1153.5 cals
X g(x)
10 -16
11 -17
12-18
13 -19
We get the equation for the points of the data as x y + 6 = 0
We are given the data as:
X g(x)
10 - 16
11 - 17
12 - 18
13 - 19
We need to find the equation for the data.
Slope = ( - 17 + 16 ) / ( 11 - 10)
m = - 1 / 1 = - 1
Now, the equation will be:
y - y₁ = m (x - x₁)
Substituting the values, we get that:
y + 16 = - 1( x - 10)
y + 16 = - x + 10
x + y + 16 - 10 = 0
x + y + 6 = 0
Therefore, we get the equation for the points of the data as x y + 6 = 0
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A car salesman earns 1/36 in commission. If he sold a car for $43,000, how much did he earn in commission?
Answer:
1194 ....................... is the answer
Laura runs during her lunch break.
The average speed S, in kilometers per hour, at which Laura runs depends on the temperature t, in degrees Celsius (°C), at the start of her run and can be modeled by the function S(t) = 6 + 0.2(25 - t).
The distance, D, in kilometers, that she can run in 30 minutes given that her average speed is a kilometers per hour can be modeled by the function D(x) = 0.5x.
Which expression models the distance that Laura runs in 30 minutes given that it is t°C outside at the start of her run?
A. 5.5 - 0.2t
B. 11 - 0.1t
C. 11 - 0.5t
D. 5.5 - 0.1t
Using composite functions, the expression that models the distance that she runs is:
D. 5.5 - 0.1t.
What is the composite function of f(x) and g(x)?The composite function of f(x) and g(x) is given by:
(f ∘ g)(x) = f(g(x)).
In this problem, we have that:
The velocity as a function of the temperature is: S(t) = 6 + 0.2(25 - t) = 11 - 0.2t.The distance as a function of the velocity is: D(x) = 0.5x.Hence the distance as a function of the temperature is given as follows:
(D ∘ S)(t) = D(S(t)) = 0.5(11 - 0.2t) = 5.5 - 0.1t.
Which means that option D is correct.
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Simplify
(2m^3n^2)^5
[tex] \large \bf \implies{32 {m}^{15} {n}^{10} }[/tex]
Step-by-step explanation:[tex]\bf \longrightarrow{(2m^{3}n^{2})^{5} } \\ \\ \bf \longrightarrow {2}^{5} \times ( {m}^{3})^{5} \times ( {n}^{2})^{5} \\ \\ \bf \longrightarrow32( {m}^{3})^{5}( {n}^{2})^{5} \\ \\ \bf \longrightarrow32 {m}^{15} {n}^{10} [/tex]
Note : We have used the two exponent rules:
[tex](1) \: \: \large \bf \boxed{ \bf \green{(ab)^{n} = {a}^{n} \times {b}^{n} }}[/tex]
[tex](2) \: \: \large \bf \boxed{ \bf \green{(a^{n})^{m} = {a}^{nm} }}[/tex]
Round this number to the
nearest hundredth.
0.7456
Answer:
0.75
Step-by-step explanation:
it goes tenths hundredths thousandths....
Answer:
0.75
Step-by-step explanation:
4 is the hundredth in this number. The number after 4 is 5. The rule is if its 5 and over you round up and if not, you round down. In this case the number is 5 so we round up. So the number becomes 0.75 instead of 0.74
You start at (1, 3). You move up 2 units and left 6 units. Where do you end?
Answer:
(-5,5)
Step-by-step explanation:
Question 5 pls help Pre algebra explain your answer
Answer: -6.62 x 10^-8
Step-by-step explanation:
solve the equation 3x = 21
Answer:
x = 7
Step-by-step explanation:
3x = 21 ( isolate x by dividing both sides by 3 )
x = 7
Which expression is equivalent to this
expression?
√2³
1
2 12
Answer:
calculators are available
Step-by-step explanation:
HELP URGENTLY PLEASE
here's the coordinates
b'= (4,5)
c'= (5,3)
which inquality best represents the domain of the function shown on the graph?G, 3
Which flaw most accurately illustrates the graphed function's domain?
The inequality most accurately depicts the part's intended domain, which should be -9<x ≤2.
Domain here refers to the x change. The values of with regard to function should be the domain in this case. Additionally, we need to pay attention to the blank line that starts at -9 to 2 in x values.
Since 9 should not be filled however 2 should be.
Therefore, The inequality most accurately depicts the part's intended domain, which should be -9<x ≤2.
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Help anyone with both
The word phrases given can be written in algebraic expressions as:
1. B. 4g
2. B. 6/(x + y).
How to Write an Algebraic Expression?"Product" means multiplication.
"The product of g and 4" can be written as an algebraic expression as: 4 × g = 4g.
"Quotient" means the result you get by dividing a number by another number.
"Sum" means addition, or what you get by adding two quantities together.
Therefore, "the sum of x and y" is written in algebraic expression as: x + y.
Thus, the quotient of 6 and (x + y) would be written in algebraic expression as: 6/(x + y).
Therefore, the word phrases given can be written in algebraic expressions as:
1. B. 4g
2. B. 6/(x + y).
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Aileen is a salesperson at Lopez Sporting Goods. She is paid a monthly commission on all Little League uniforms she sells. She receives 10% of her first $2,000 in sales and 12% of the balance of her sales. Last week she earned $231.20. What was the total value of the uniforms she sold?
The total value of the uniform Aileen sold is x= 2260 on monthly Commission sells.
Given,
Let us assume the all little League uniform = x
Aileen first commission 10% of 2000$ in sales.
Aileen Second Commission 12% of (x-2000)$
Total Commission Aileen Earner = 10% ×2000 + 12% × (x-2000)
231.2 = 0.1× 2000 + 0.12× (x-2000)
231.2 = 200 + (0.12x - 240 )
231.2 = 200 + 0.12x - 240
After Transformation, we get
0.12x = 231.2 - 200 +240
0.12x = 271.2
x = 271.2/.12
x = 2260
Aileen Sell the total value of Lopez Sporting Goods Uniform is 2260.
So the final Answer is x = 2260$.
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