The monthly payment is given as 11.95 0f the loan amount.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
The given problem can be solved by the loan formula as follows,
The expression for the loan formula is given as,
PM = A(r(1 + r)ⁿ)/((1 + r)ⁿ- 1)
Where A is the loan amount, r is the rate of interest and n is the time interval.
The corresponding values of r and n as per the question are 6% = 0.06 and 12 respectively.
Substitute these values in the above expression to get,
PM = A(0.06(1 + 0.06)ⁿ)/((1 + 0.06)ⁿ- 1)
= 0.119A
Which can be written in the form of percentage as,
PM = 0.119 × 100% of A
= 11.9% of A
Hence, the per month payment of the loan will be 11.9% of the loan amount.
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What are the coefficients in the polynomial 7x2 - 4x + 6?
a. -7,4
b. 7, 4, -6
c. 7. -4,6
d. 7. -4
if i could please get help thank you
Answer:
7 and -4
Step-by-step explanation:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
8.2 + x /2 x=6.2
giving brainliest ( ik it looks like a multiplication sign but it’s the letter x (algebraic)
Wildhorse Co. Had net income of $961200 for the year ending 12/31/2022. Depreciation expense for 2022 is $118800. During the year, accounts receivable and inventory increased $64800 and $172800, respectively. Prepaid expenses and accounts payable decreased $8640 and $17280, respectively. There was also a loss on the sale of equipment of $12960. How much cash was provided by operating activities in 2022?
Answer:
"$846720" is the right answer.
Step-by-step explanation:
The given values are:
Net income,
= $961200
Depreciation,
= $118800
Inventory increased,
= $172800
Accounts receivable,
= $64800
Prepaid expenses,
= $8640
Accounts payable decreased,
= $17280
Sale equipment's loss,
= $12960
Now,
The cash provided by operating activities will be:
= \(Net \ income + Depreciation + Sale \ equipment's \ loss + decrease \ in \ prepaid \ expenses - accounts \ receivable \ Increase - Inventory \ increase - decrease \ in \ accounts \ payable\)On substituting the given values, we get
= \(961,200 + 118,800 + 12,960 + 8,640 - 64,800 - 172,800 - 17,280\)
= \(846720\) ($)
Find a vector equation for the tangent line to the curve of intersection of the cylinders x^2 + y^2 = 25 and y^2 + z^2 = 20 at the point (3,4,2).
L(t) = (2/3)t + 3, (-1/2)t + 4, t + 2.
The curve of intersection of the cylinders x² + y² = 25 and y² + z² = 20 can be found by setting the two equations equal to each other:
x² + y² = y² + z² = 20
The intersection of the two cylinders is a circle.
To determine the radius of this circle, we use either of the two equations and solve for one variable in terms of the other two:
y² + z² = 20y²
= 20 - z²y
= ±sqrt(20 - z²)
If we substitute this expression for y into the equation x² + y² = 25, we can solve for x in terms of z:
x² + (20 - z²)
= 25x²
= 5 + z²x
= ±sqrt(5 + z²)
Thus, the curve of intersection can be expressed parametrically as follows:
r(t) = (x(t), y(t), z(t)) = (sqrt(5 + t²), sqrt(20 - t²), t)for -2sqrt(5) ≤ t ≤ 2sqrt(5)
At the point (3, 4, 2), t = 2.
To find the tangent vector to the curve at this point, we take the derivative of the position vector:
r'(t) = (x'(t), y'(t), z'(t)) = (t/sqrt(5 + t²), -t/sqrt(20 - t²), 1)
at t = 2:r'(2) = (2/sqrt(9), -2/sqrt(16), 1) = (2/3, -1/2, 1)
Finally, we obtain the vector equation of the tangent line by using the point-normal form of the equation of a line:
L(t) = r(2) + t r'(2)L(t)
= (3, 4, 2) + t (2/3, -1/2, 1)L(t)
= (2/3)t + 3, (-1/2)t + 4, t + 2
Therefore, a vector equation for the tangent line to the curve of intersection of the cylinders x² + y² = 25 and y² + z² = 20 at the point (3, 4, 2) is:
L(t) = (2/3)t + 3, (-1/2)t + 4, t + 2.
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Find an equation of the line perpendicular to the line 3x+6y=5 and passing through the point (1,3). Write the equation in the standard form.
The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)
To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:
1. Obtain the slope of the provided line.
To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):
6y = -3x + 5
y =\(-\frac{1}{2}x + \frac{5}{6}\)
The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).
2. Determine the slope of the line perpendicular to the provided line.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.
So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.
3. Use the slope and the provided point to obtain the equation of the perpendicular line.
We can use the point-slope form of a line to determine the equation:
y - y1 = m(x - x1)
where x1, y1 is the provided point and m is the slope.
Substituting the provided point (1, 3) and the slope 2 into the equation, we have:
y - 3 = 2(x - 1)
4. Convert the equation to standard form.
To convert the equation to standard form, we expand the expression:
y - 3 = 2x - 2
2x - y = -1
Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:
2x - y = -1
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johnny the gambler tosses 6 fair six-sided dice numbered 1 through 6. in order to win the jackpot, he needs a 5 or 6 on exactly 3 of the dice. what are johnny's chances to win?
The probability of Johnny winning is \(20 *(\frac{2^3}{3^6} )\).
Given data;
Johnny throws six equal dice with six sides and the numbers 1 through 6 on them. He needs a 5 or 6 on precisely 3 of the dice to take home the prize. What are Johnny's odds of winning?
The probability of 5 or 6 = 2/6
= 1/3
The probability of not 5 or 6 = 4/6
= 2/3
The total probability of getting in exactly 3 chances;
⇒ ⁶C₃ * (1/3)³ * (2/3)³
⇒ \(20 *(\frac{2^3}{3^6} )\)
Hence, the chances for Johnny to win are \(20 *(\frac{2^3}{3^6} )\).
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the manager of an ice cream shop found that the probability of a new customer ordering vanilla ice cream is . what are the odds against a new customer ordering vanilla ice cream?
I apologize, but there is some information missing from your question. The probability of a new customer ordering vanilla ice cream is not stated. Once that information is provided, I can help you calculate the odds against a new customer ordering vanilla ice cream.
To calculate the odds against a new customer ordering vanilla ice cream, you'll first need to determine the probability of not ordering vanilla ice cream.
1. Find the probability of not ordering vanilla ice cream: Since the probability of a new customer ordering vanilla ice cream is not given, let's denote it as P(vanilla). The probability of not ordering vanilla ice cream is then 1 - P(vanilla).
2. Calculate the odds against ordering vanilla ice cream: The odds against ordering vanilla ice cream can be expressed as the ratio of the probability of not ordering vanilla ice cream to the probability of ordering vanilla ice cream. In this case, the odds against are (1 - P(vanilla)) : P(vanilla).
Once you have the value of P(vanilla), you can plug it into the above formula to find the odds against a new customer ordering vanilla ice cream at the ice cream shop.
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Given A (-3,5) and B (6,7) find AB
Answer:2/9
Step-by-step explanation:
AB=\(\frac{7-5}{6+3}\)
=\(\frac{2}{9}\)
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HELP PLEASEE
The value of y varies directly with x. If
x = 5, then y = 40. What is the value of x
when y = 100?
A 2
B 12
C 800
D 8
Answer:
800
Step-by-step explanation:
100 * 40/5 = 800
basic conversion method
Together Charles, John, and Jerry received $50. Charles received $12, John received $24, and Jerry received $14. What per cent of the $50 did John receive?
Answer:
12 percent
Step-by-step explanation:
24 by 100 0f 50
24 ×50=1200
1200÷100 is 12
Sara started adding and subtracting the rational expressions . LCD = 2(3)(7)(g)(g)(g) Finish Sara's work. What is the resulting rational expression?
Answer: A
Step-by-step explanation: on Edge
Answer:
D
Step-by-step explanation:
Find the absolute maximum and absolute minimum values of f on the given interval. F(x) = x + 16 x , [0. 2, 16] absolute minimum value absolute maximum value.
The absolute minimum value is 3.4 and occurs at x = 0.2
The absolute maximum value is 272 and occurs at x = 16
To get the absolute maximum and minimum values of the function f(x) = x+16x= 17x in the given interval [0.2 , 16], we need to get the values of f(x) at the end points. The end points are 0.2 and 16
at x = 0.2
f(0.2) = 17*0.2
f(0.2) = 3.4
at the other end point i.e at x = 16;
f(16) = 17*16
f(16) = 272
The absolute minimum value is 3.4 and occurs at x = 0.2
The absolute maximum value is 272 and occurs at x = 16
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3. Use the diagram to answer the following questions.
a. Using parallel line relationships, find the value of x. Use the relationship between the two marked angles to set up your equation.
Show your work to support your answer.
b. Find the measure of each of the angles. Don’t forget to label your answer. (6 pts)
a = d =
b = e =
c = f =
Answer:
x = 5
and f = 14
B,C d and e are all 166 ( 180-14)
Step-by-step explanation:
4x - 6 and x + 9 are alternate interior angles which have the same measurement. Set them to equal and solve for x
4x - 6 = x + 9 Add 6 to both sides
4x = x + 15 Subtract x from both sides
3x = 15 Divide both sides by 3
x = 5
So the two angles have a measurement of 14
x + 9
5 + 9 = 14
4x - 6
4(5) - 6
20 - 6 = 14
joanne graphed a linear funtion with a slope of -4 passing through 0,-2 nick graphed the function y=-2x - 4
Answer:
Explanation:
The slope-intercept form of the equation of a line can be written as;
\(y=mx+b\)where m = slope of the line
b = y-intercept of the line
So if Joanne graphed a linear function with a slope(m) of -4 passing through (0, -2), let's go ahead and determine the y-intercept of the line as shown below;
\(\begin{gathered} -2=-4(0)+b \\ -2=b \\ b=-2 \end{gathered}\)Therefore, the equation of line will be y = -4x - 2 as graphed below;
Given Nick's function as y = -2x - 4, combining both graphs, we'll have the below;
The red line is Joanne's line while the blue line is Nick's line.
We can see from the above graph of both lines that Joanne's line intersects the y-axis above Nick's line's
You are graphing Square ABCD in the coordinate plane. The following are three of the vertices of the square. A4,-7), B(8,-7), and C(8, -3). What are the coordinates of point D?
factor the GCF from 16p^4+4p^3
Given the expression:
\(16p^4+4p^3\)The GCF of p^4 and p^3 = p^3
And the greatest common factor of 16 and 4 = 4
so,
\(\begin{gathered} \frac{16p^4}{4p^3}=4p \\ \\ \frac{4p^3}{4p^3}=1 \end{gathered}\)So, the factors of the given expression will be:
\(16p^4+4p^3=4p^3(4p+1)\)Distance between each pair of points (-6,-4.7) and (-6,4.1)
Answer:
8.8
Step-by-step explanation:
as X1=X2
we use | Y2-Y1 |
=| 4.1 -(-4.7) |
=| 8.8 |
=8.8
Select the correct answer from each drop-down menu. the cofactors of the first-row entries are . the cofactors of the second-row entries are . the cofactors of the third-row entries are .
The co factors of the given rows is:
First row. = -393 74 287
Second row = 471. 162 91
Third row =251 222 - 349
According to the statement
we have given that a matrix and we have to find the co-factors of data.
So, For this purpose, we know that the
A Co factor, is used to find the inverse of the matrix, adjoined.
So,
For the first row
Co factor of 12= (-8*15)-(21*13)
= -120-273
= -393
Co factor of 23 = (11*15)-(7*13)
= 165-91
= 74
Co factor of -6 = (11*21)-(-7*8)
= 231+56
= 287
For the second row
Co factor of 11 = (23*15)-(21*-6)
= 345+126
= 471
Co factor of -8 = (12*15)-(7*-6)
= 120 + 42
= 162
Co factor of 13 (12*21)-(23*7)
= 252-161
= 91
For third row
Co factor of 7= (23*13)-(-8*-6)
= 299-48
= 251
Co factor of 21 = (12*13)-(11*-6)
= 156+66
=222
Co factor of 15 = (12*-8)-(11*23)
= -96 - 253
=- 349
So, The co factors of the given rows is:
First row. = -393 74 287
Second row = 471. 162 91
Third row =251 222 - 349
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Question:
Select the correct answer from each drop-down menu.
the co factors of the first-row entries are .
the co factors of the second-row entries are .
the co factors of the third-row entries are .
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Answer:
Step-by-step explanation:
Simplify:2(2x+4y-y)
Answer is ?
Answer:
4x+6y
Step-by-step explanation:
distribute and add like terms
Answer:
\(4x + 6y\)
Step-by-step explanation:
Collect like terms:
\(2(2x + 3y)\)
Distribute 2 through the parentheses:
\(4x + 6y\)
Therefore, the answer will be 4x + 6y.
The recipe called for a ratio of sugar and flour to be 2 lbs to 9 lbs. If the chef used 18 lbs. of flour, how many pounds of sugar are needed?
Answer:
3/8 lb or 6 oz
Step-by-step explanation:
The first thing I did was to be a part of 55
Answer:
55? What does that mean? Math 55?
Step-by-step explanation:
Answer: I’m sorry, but what is this? What’s the question?
Step-by-step explanation: Thank You! :)
I need help answering b
The diagram should help
Suppose the following expression is given: P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1). a) Write down the "realization" of the stochastic process implied by the above expression, and explain what it means.
The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.
The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.
If the process is discrete, then the function is a sequence of values at discrete points in time.
A stochastic process is one that evolves over time and the outcomes are uncertain.
The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.
To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.
The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.
The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.
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HELPPP IT IS MATH AGIAN NOOO
Answer:
9 is 8 hours and 10 is 10 hours
Answer:
9. 8 Hours
10. 10 hours
Step-by-step explanation:
48 ÷ 4 = 12 The unit rate is 12 per hour
12x = 96 Divide both sides by 12
x = 8
54 ÷ 6 = 9 The unit rate is 9 per hour
9x = 90 Divide both sides by 9
x = 10
Ali, ben and Cathy share an amount of money in ratio 6:9:10 what fraction of the money does ben get?
Answer:
Step-by-step explanation:
Let's do an example.
60:90:100
100 plus 90 plus 60 is 250
ben gets 90 of that 250
or 9/25.
Someone please help me with this! It’s urgent
Answer:
measurement of each interior angle of a regular hexagon is 120°
sum of the numbered angles is 720°
Step-by-step explanation:
m<1 = 120°
m<2 = 120°
m<3 = 120°
the sum of the all the numbered six interior angles of a regular hexagon = 720°
Look at the table on texts assigned to students. A 4-column table with 3 rows titled texts assigned to students. The first column is blank with entries fiction, non-fiction, total. The second column is labeled poetry with entries 0. 2, a, 0. 18. The third column is labeled prose with entries 0. 8, 0. 9, 0. 82. The fourth column is labeled total with entries 1. 0, 1. 0, 1. 0. Which value for a completes the conditional relative frequency table by row? 0. 01 0. 02 0. 1 0. 2.
Answer:maybe 9 but if not is 8 and the seond is 321
Step-by-step explanation:
MATH HELP ASAP PLSSSS
Answer:
(30,0)
Step-by-step explanation:
y=0
-2/5 *x +12=0
2x/5=12
2x=12*5
2x=60
x=60/2
x=30
Hey there! :)
Answer:
(30, 0).
Step-by-step explanation:
Solve for the x-intercept, or zero of the equation by setting the equation equal to 0:
y = -2/5x + 12 becomes:
0 = -2/5x + 12
Subtract both sides by 12:
-12 = -2/5x
Divide both sides by -2/5:
-12 (-5/2) = -2/5x (-5/2)
30 = x.
Therefore, the x-intercept is at (30, 0).
convert 500 minutes to hours
Answer:
8.33
Step-by-step explanation:
1hr=60 minutes
?hr = 500 minutes
To find how many hours, divide 500 by 60
500/60 = 8.33
500 minutes = 8.33 hours