Answer:
$1,127.86
Step-by-step explanation:
Step-by-step explanation:
The amortization formula is ...
A = Pr/(1 -(1+r)^-n)
where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.
Here, we have P=$16,231, r=0.051/4=0.01275, n=4·4=16.
So, the payment is ...
A = $16,231·0.01275/(1 -1.01275^-16) = $1,127.86
The quarterly payment amount is $1,127.86.
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Answer:
Answer is B
Step-by-step explanation:
told me on EDGE
Find the value of the expression 8x↑3 if: x=3
Answer:
216
Step-by-step explanation:
8x³
Put x as 3 in the expression.
8(3)³
Solve the power.
8(27)
Multiply.
= 216
Find the difference
[tex]( - {3x}^{3} - {7x}^{2} + 5x - 4) - ( {6x}^{2} - 8)[/tex]
Answer:
Step-by-step explanation:
Identify examples and non examples of the standard form of a linear expression
Answer: see attachment
Step-by-step explanation:
The standard form of a linear equation is: Ax + By = C
where A, B, and C are INTEGERS.
The 1st, 3rd, & 4th equations are in the form Ax + By = C
The 2nd, 5th, & 6th equations are NOT in standard form.
Josephine bought a sweater for $9.99 and a skirt for $21.50. She gave the clerk $50. How much change did she receive
Answer: $18.51
Step-by-step explanation:
She paid $50
Her total purchases
$9.99 + $21.50 = 31.49
Change = (50 - 31.49) = 18.51
How do I do this? Not entirely sure.
Answer:
-1, 0, 3, 80
Step-by-step explanation:
so replace the n it would be
[tex]1^{2} - 2[/tex] x 1
1-2
-1
[tex]2^{2} - 2[/tex] x 2
4-4
0
[tex]3^{2} - 2[/tex] x 3
9-6
3
[tex]10^{2} - 2[/tex] x 10
100 - 20
80
Solve the equation. 1.25 =0.75+r
Answer:
0.50
Step-by-step explanation:
Do the opposite of addition
So 1.25 - 0.75
The solution to the equation 1.25 = 0.75 + r for r is r = 0.5
How to determine the solution to the equation for rFrom the question, we have the following parameters that can be used in our computation:
1.25 = 0.75 + r
Add -0.75 to both sides of the equation
so, we have the following representation
-0.75 + 1.25 = 0.75 + r + -0.75
Evaluate the like terms on the right hand side
This gives
-0.75 + 1.25 = r
Evaluate the like terms on the left hand side
This gives
0.5 = r
Rewrite as
r = 0.5
Hence. the solution is 0.5
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At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of factor
(x-5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis
(x+2)^2 has the power of 2 which is an EVEN number. An Even power means that the graph will touch the x-axis
To find where it will touch the axis set the factor equal to zero and solve .
(x + 2) = 0
Subtract 2 from both sides
x=-2
ANSWER ASAP :D +Brainliest if correct!
Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer. What is Jo’s error? (picture below) Jo should have rounded the dividend to –40. Jo should have rounded the divisor to –6. Jo should have divided –7 by –42. Jo should have divided –7 by –7.
Answer:
Jo should have rounded the divisor to -6.
Explanation:
When rounding, a number with a decimal value below 0.5 rounds down and a number with a decimal value of 0.5 and greater gets rounded up. 0.3 is less than 0.5 which means -6.03 is closer to -6 than -7 and should have been rounded to -6 instead.
Answer:
B!
Step-by-step explanation:
simple division :)))
share £12 in the ratio of 3:2:1
Identify examples and non-examples of the standard form of a linear function.
5x - 3y = 9
y = 1/2x - 3
2x + 3y = 0
x + y = 1
x = 6y
y = x - 2
Which are examples and which are non- examples?
Answer:
5x - 3y = 9 (Example) y = 1/2x - 3 (Non-Example) 2x + 3y = 0 (Example) x + y = 1 (Example) x = 6y (Non-Example) y = x - 2 (Non-example)Step-by-step explanation:
Standard form of the equation is given by:
Ax + By = C
Where
x and y are variablesA, B and C are constants which must be Integers. A should always be positive.Considering the definition, we can identify the examples and non-examples of standard from of a linear equation.
5x - 3y = 9In a form of Ax + By = CA,B and C are constantsA=5 is positiveIt is an EXAMPLE of standard form of linear function
y = 1/2x - 3Not in the form of Ax + By =CNON-EXAMPLE
2x + 3y = 0In a form of Ax + By = CA,B and C are constantsA=5 is positiveIt is an EXAMPLE of standard form of linear function
x + y = 1In a form of Ax + By = CA,B and C are constantsA=5 is positiveIt is an EXAMPLE of standard form of linear function
x = 6yNot in the form of Ax + By =CNON-EXAMPLE
y = x - 2Not in the form of Ax + By =CNON-EXAMPLE
Answer:
answer in the picture
Step-by-step explanation:
There are 32 students in a class. They are taking either biology or chemistry or both. The
number of students taking biology is three times as many as the number of students
taking chemistry. If 4 students are taking both biology and chemistry, how many
students are in biology?
Answer:
27
Step-by-step explanation:
Let's call the number of students taking chemistry x which makes the biology students 3x. Since the overlap is 4 the amount of students who take chemistry only or biology only is x - 4 and 3x - 4 respectively therefore we can write:
x - 4 + 3x - 4 + 4 = 32
4x - 4 = 32
4x = 36
x = 9
Since x = 9, the amount of biology students is 3x which is 3 * 9 = 27.
Answer:
27
Step-by-step explanation:
Factor completely 3x2 − x + 5.
Prime
(3x + 1)(x − 5)
(3x − 1)(x + 5)
(x + 1)(3x − 5)
Answer:
Prime
Step-by-step explanation:
When faced with these equations, if you cant divide each term by the same GCF you multiply the like variable, exponent, or variable aka 3 here times the last term aka 5 here. So 3 times 5 is 15.
neither or these equations equal one when added or subtracted so the answer is prime.
15
1*15
3*5
The quadratic equation is not factorized completely. The given factors are prime factors. Option A is correct.
What is prime factorization ?A mathematical quantity is factorized when it is expressed as multiples of smaller units of closely related quantities.
Factorization is the breakdown of an integer into smaller numbers that, when multiplied together, yield the original, considered number. Factors of those regarded as integers are those who make up an integer.
When all those factors are prime numbers, this is known as prime factorization. In other words, prime factorization expresses an integer in terms of prime multiples.
Given equation;
⇒3x²-x+5
The above quadratic equation is not factorized completely. The given factors are prime factors.
Hence option A is correct.
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What is one difference in midsegments for triangles versus midsegments for trapezoids?
Answer:
Step-by-step explanation:
Midsegments of a triangle and a trapezoid are alike, because their endpoints, are the midpoints of the sides they touch. ... whereas, the length of a midsegment of a triangle is base/2.
The one difference in midsegments for triangles versus midsegments for trapezoids Midsegments of triangles and trapezoids are different because we can draw 3 of them in triangles, but only one in trapezoids.
What are triangles and trapezoids?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.
If a line through the midpoint of a leg of a trapezoid is parallel to its bases, then the line passes through the midpoint of the other leg.
The midsegment of a trapezoid is half the length of the two parallel sides.
The midsegment theorem states that a line segment connecting the midpoints of any two sides of a triangle is parallel to the third side of a triangle and is half of it.
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The vertex of this parabola is at (4,-3). Which of the following could be its
equation?
A. x==3(y - 3)2 + 4
B. X=-3(+4)2-3
C. X=-3(-4) 2-3
D. X=-3(y + 3) - 4
Answer:
Option D.
Step-by-step explanation:
From the given graph it is clear that it is a parabola along to the x-axis.
Vertex form of a parabola along the x-axis is
[tex]x=a(y-k)^2+h[/tex]
where, (h,k) is vertex.
From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.
[tex]x=a(y-(-3))^2+(4)[/tex]
[tex]x=a(y+3)^2+4[/tex] ...(1)
The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.
[tex]1=a(-2+3)^2+4[/tex]
[tex]1-4=a(1)^2[/tex]
[tex]-3=a(1)^2[/tex]
Substitute a=-3 in equation (1).
[tex]x=-3(y+3)^2+4[/tex]
Therefore, the correct option is D.
HELP PLEAASEEE QUICK
Choose the correct graph of the following condition.
{(x, y) : x≥2}∩{(x, y) : y≥2}
Answer:
see below
Step-by-step explanation:
{(x, y) : x≥2}∩{(x, y) : y≥2}
First {(x, y) : x≥2}
A solid line at x =2 and shaded to the right
(x, y) : y≥2
A solid line at y =2 and shaded above
∩ means intersection or where they overlap
The green area is where they over lap
These are the equations
Here clearly the lines lie in Q1 and 2 units away from both the axis
B is most suitable because it's intersection means their common or overlapping areaWhich of the following is a triangle congruence theorem?
A) SAS
B) AS
C) SSA
D) AAA
Answer:
Sas
Step-by-step explanation:
Please help me ASAP!!!
Answer:
E.
Step-by-step explanation:
There are 12 balloons in each package. Multiply this by the number of packages to get the number of balloons.
Answer:
E. 12p
Step-by-step explanation:
Multiply 12 by the number of packages to get the total number of ballons.
Ex.
If P is 7 :
12 x 7 = 84
84 ballons in total.
For the following questions answer independent, dependent, or both. a) This probability causes you to subtract one from the total on the second draw because you don't replace. b) This probability causes you to multiply the probability of the first event by the probability of the second event. c) This probability causes you to leave the total the same on the second draw because you replace.
Answer:
(a)Dependent
(b)Both
(c)Independent
Step-by-step explanation:
a) When selections are made without replacement, the second(next) outcome is dependent of the first(previous) outcome. Therefore, we subtract one from the draw on the total.
Dependent(b)The probability of Event A and Event B is the multiplication of the probability of event A and the probability of event B. Events A and B can either be dependent or independent.
Both(c)When selections are made with replacement, the next outcome is independent of the previous outcome. Therefore, we say that the two events are independent.
Independentplease help with this
Answer:
1. 18x^11
2. 3n^7
3. x^9
4.-2s^9
5. 6v^14
6.-3p^6
7. 8b^10
can i get brainliest for this pls :)
Which function is illustrated by the following graph?
A curve curves up through (0, 0) to a point, curves down through the x-axis, and curves up to the point.
a.
cosine function
c.
Tangent function
b.
Sine function
d.
Arc tangent function
Answer:
cosine function:
Answer:
yes its cosine
Step-by-step explanation:
Which statement about the function is true?
O The function is positive for all real values of x where
The function is negative for all real values of x where
-6exs-2.
O The function is positive for all real values of x where
X-6 orr-3
O The function is negative for all real values of x where
x<-2
Answer:
Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.
Step-by-step explanation:
As given in the graph,
Given function is a quadratic function, f(x) = (x + 2)(x + 6)
With x-intercepts of the function, x = -6 and -2
Graph below the x-axis represents the negative values of the function.
Graph above the x-axis represents the positive values of the function.
Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.
Please help me. Multiply. (x−5)(3x+6) Express the answer in standard form. Enter your answer in the box.
Answer:
3x² - 9x - 30
Step-by-step explanation:
We use FOIL to multiply (First, Outside, Inside, Last)
Step 1: F
3x²
Step 2: O
6x
Step 3: I
-15x
Step 4: L
-30
Step 5: Rewrite
3x² + 6x - 15x - 30
Step 6: Combine like terms
3x² - 9x - 30
Answer:
[tex]3x^2-9x-30[/tex]
Step-by-step explanation:
Use the FOIL method to solve:
First: [tex]x*3x=3x^2[/tex]
Outer: [tex]x*6=6x[/tex]
Inner: [tex]-5*3x=-15x[/tex]
Last: [tex]-5*6=-30[/tex]
Combining them all, we get:
[tex]3x^2+6x-15x-30=\\3x^2-9x-30[/tex]
Louis was saving money to purchase a remote-controlled model airplane. The plane cost $48. His grandfather gave him $6 and his mother gave him an allowance of $5 per week. If he saved all of his money, he would have 6+5x dollars after x weeks. How much money would Louis have after 8 weeks, and would it be enough?
Answer:
$ 46 and it's not enough
Step-by-step explanation:
6 + 5x
x = weeks
so after 8 weeks, his money should be
6 + 5(8) = 6 + 40 = $ 46
Not enough for buying RC model airplane
The money for Louis have after 8 week will be $46.
And, It is not enough.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The plane cost $48. His grandfather gave him $6 and his mother gave him an allowance of $5 per week.
And, He would have 6+5x dollars after x weeks.
Now,
The money after 8 week = 6 + 5 × 8
= 6 + 40
= $46
Thus, The money for Louis have after 8 week will be $46.
Since, The plane cost $48.
Hence, It is not enough.
Therefore, The money for Louis have after 8 week will be $46.
And, It is not enough.
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Video games sold: x
Revenue function: R(x) = 60x
Cost function: C(x) = 12 + 7x
Profit function: Px) =
Answer:
Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.
Step-by-step explanation:
In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x for the sale of x video games
As we know profit = sale price - cost price
Therefore P(x) = R(x) - C(x)
Or P(x) = (R-C)x = 60x - (12+7x)
P(x) = 60x -12 - 7x
P(x) = 53x -12
Now the profit on selling 20 video games will be
P(20) = 53×20 -12 = 1060 -12 = 1048.
use the greatest common factor and the distributive property to find the sum of 36 and 8. The Greatest common factor is 16
Answer:
44
Step-by-step explanation:
Greatest common factor is 4
36 = 4*9
8 = 4*2
36+8 = 4*9 + 4*2
= 4(9+2)
= 4(11)
= 44
Hope it helps ...
Same question need help asap!
Answer:
Nico's method is correct
Step-by-step explanation:
Lauren carelessly forgot to add the negative sign
[tex]-\frac{4}{5} = \frac{-4}{-5}[/tex]
Ms. Eskew's class had a class average of 89 % on their Math test. How would this be written as a ratio? A. 11:100 B. 89:100 C. 78:100 D. 100:89
Answer: 89:100
Step-by-step explanation:
89% out of a possible 100%
So, ratio will be 89:100
3. What is the value of x + y?
Answer:
y = 50 x = 10.
Step-by-step explanation:
Let's solve for y first.
We know the line angle 80 and angle 2y-5 is on a 180 degree line.
Now we can do our work:
180 - 85 = 95
2y - 5 = 95
95 + 5 = 100
100 ÷ 2 = 50
2(50) - 5 = 95?
The equation is correct, therefore y = 50.
No we do the same thing for the other angles, 90 and 3x + 55.
Again, 180 line.
180 - 95 = 85
3x + 55 = 85
85 - 55 = 30
30 ÷ 3 = 10
3(10) + 55 = 85?
The equation is correct therefore x = 10.
Thus, y = 50 and x = 10.
Please complete the attachment attached below
Answer:
The mode is 7 , median is 7 and the range of data is 2.8
Step-by-step explanation:
Stem leaf diagram :
5 | 7 7 9
6 | 5 6 8 8 9
7 | 0 0 0 2 5 5 7 8
8 | 4 4 5
Key : 5|7 means 5.7 cm
So, Data : 5.7,5.7,5.9,6.5,6.6,6.8,6.8,6.9,7.0,7.0,7.0,7.2,7.5,7.5,7.7,7.8,8.4,8.4,8.5
a)Mode : The most occurring number in the data is the mode
So, 7 is the mode of the data
b)
No. of observations = n = 19
[tex]Median = \frac{n+1}{2}\text{th term}\\Median = \frac{19+1}{2} \text{th term}\\Median = 10 \text{th term}\\Median = 7.0[/tex]
C)Range = Maximum - Minimum= 8.5 - 5.7 =2.8
Hence The mode is 7 , median is 7 and the range of data is 2.8
. When f(x)=6x + 4 and g(x) = -6x + 3, find (g ◦ f)(6).
Answer:
- 237
Step-by-step explanation:
To evaluate (g ￮ f)(6) , evaluate f(6) and use the value obtained to evaluate g(x), that is
f(6) = 6(6) + 4 = 36 + 4 = 40, then
g(40) = - 6(40) + 3 = - 240 + 3 = - 237
Answer:
First find g o f(x)
= -6(6x +4) + 3
= -36x -24 +3
= -36x -21
g o f(6) = -36(6) - 21
= -216-21
= -237
Hope this helps.