Answer:
2x + 3y = 5 >>>> 1st equation
2x + 4y = 6 >>>> 2nd equation
2nd equation - 1st equation
2x+4y-2x-3y=6-5
y=1
2x+3×1=5
2x=2
x=1
Your original purchase price was $825.00 plus 7% sales tax. You enter into an agreement where the interest (12.5% APR) is waived for the first 12 months provided you make the required monthly payments; otherwise the interest is accrued from the date of purchase. You miss the first payment due date. The late fee is $35.00. How much is the interest?
If your original purchase price was $825.00 plus 7% sales tax and the interest is accrued from the date of purchase. The interest is $9.20.
How to find the interest?First step is to find the monthly interest rate
Monthly interest rate =12.5% / 12
Monthly interest rate = 1.0417%
Second step is to find the total amount applied for credit
Total amount applied for credit= $825+ ($825 × 7%)
Total amount applied for credit =$882.75
Now let find the interest
Interest = $882.75 x 1.0417%
Interest =$9.19
Interest = $9.20 (Approximately)
Therefore the interest is $9.20.
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Answer:
1. a late payment/missed fee
2. accrued interest
3. $9.20
4. $9.66
Hope This Helps!
F(x)= (x+1)(x+3)(x-4) In standard form
The standard form of the given function (x + 1) (x + 3) (x - 4) is :
(x^3 -13x - 12) .
What is the standard form of function?The highest degree of terms are written first, followed by the next degree, and so on, to represent a polynomial in standard form. The polynomial's usual form is f(x) = anx^n + an-1x^n-1 + an-2x^n-2 +. + ai, where ai are coefficients and x is the variable.Here based on the given question,
We only want to expand the function and look up
f(x) = (x+1)(x+3)(x-4) in standard form.
We'll obtain:
f(x) = (x + 1)*(x + 3)*(x - 4)
f(x) = (x + 1)*(x^2 + 3*x - 4*x + 3*-4)
f(x) = (x + 1)*(x^2 - 1*x - 12)
f(x) = (x^3 + x^2 - x^2 - x - 12x - 12)
f(x) = (x^3 -13x - 12)
Using standard form, the function is:
f(x) = (x^3 -13x - 12)
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Answer:
3
Step-by-step explanation:
doin it now lol
The rabbit population in a certain area is 200 % of last year's population. There are 1,100 rabbits this year. How many were there last year?
Answer:
550
Step-by-step explanation:
The rabbit population in a certain area is 200 % of last year's population. There are 1,100 rabbits this year. How many were there last year?
200% is the same as twice the size of last year
1,100 / 2 = 550
Answer: 550
200% is double of a whole so its basically 2 so you just have to divide 1100 by 2.(I think im not super sure but I hope this is right)
Which equation is true regarding the angles formed by the diagonals and sides of the rhombus? x + y = z 2x = y + z z + x = 2y 2x + 2y = 4zWhich equation is true regarding the angles formed by the diagonals and sides of the rhombus? x + y = z 2x = y + z z + x = 2y 2x + 2y = 4z
The equation that shows that angles angles formed by the diagonals and sides of the rhombus is x + y = z
How to show the relation to express the anglesThe diagonals of rhombus intersect each other at 90 degrees
z = angle formed at the diagonal = 90
x and y angle sides of the rhombus
applying the sum of angles of a triangle property
z + x + y = 180
where z = 90
90 + x + y = 180
x + y = 180 - 90
x+ y = 90
therefore x + y = z
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Find attached document for clarification of the maths problem.
P(2 ≤ x ≤ 3) = 0.55 , using probability distribution.
What do you mean by probability distribution?
A frequency distribution that has been idealised is a probability distribution.
An individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each possible value of a variable appears.
The probability of occurrence of a value determines how frequently it appears in a sample.
A value will occur more frequently in a sample the higher its probability.
It is given that discrete random variable has a distribution of
P(x = 1) = 0.15, P(x = 2) = 0.39, P(x = 3) = 0.16, P(x = 4) = 0.30
For P(2 ≤ x ≤ 3) = P(2) + P(3) = 0.39 + 0.16 = 0.55
Therefore, P(2 ≤ x ≤ 3) = 0.55
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What is the median (middle) of the following set of numbers: [38, 39, 39, 40, 40, 40, 41, 41, 41,
42, 43, 44] Hint: there are 12 numbers here, and the set is already in order.
40
41
40.5
40.66666667
In radio astronomy, the 21 cm line is extremely important. What does this line show us?.
The 21-centimeter radiation easily passes through the interstellar dust clouds that prevent optical measurements from being made deep inside the galactic center, enabling the charting of the galaxy's spiral structure.
Hydrogen line:
A change in the energy state of neutral hydrogen atoms results in the formation of the hydrogen line, also known as the 21 centimeter line, H I line, or H I line. Its frequency is exactly 1420 in this electromagnetic radiation.
The charting of the galaxy's spiral structure is made possible by the 21-centimeter radiation's ability to easily pass through the clouds of interstellar dust that prevent optical investigations deep inside the galactic center.
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V=5t+20 make t the subject
Answer:
t = [tex]\frac{V-20}{5}[/tex]
Step-by-step explanation:
V = 5t + 20 ( subtract 20 from both sides )
V - 20 = 5t ( divide both sides by 5 )
[tex]\frac{V-20}{5}[/tex] = t
Answer: t = V/5 - 4
Step-by-step explanation:
V=5t+20
V-20=5t
V/5 - 20/5 = t
(V/5) -4=t
A restaurant has 2/5
pounds of butter to divide
equally among 4 butter
dishes. How much is put in
each dish?
===================================================
Explanation:
Check out the diagram below.
I recommend getting graph paper for this problem.
Draw a box that is 5 units tall and 4 units across. There are 5*4 = 20 small squares inside this box. Each small square represents 1/20.
Shade two of the five rows to represent the fraction 2/5. This is the amount of butter we have. The 4 columns shows the butter divided into 4 equal pieces. Note how each column has 2 shaded squares out of 5 squares total. Since each small square represents 1/20, two such squares gets us 2/20 = 1/10 which is the amount of butter per dish.
------------
Another approach would be to say
[tex]\frac{2}{5} \div 4 = \frac{2}{5} \times \frac{1}{4} = \frac{2*1}{5*4} = \frac{2}{20} = \frac{1}{10}[/tex]
Kelly invested 9750 at 2.5% p.a, interest compounded annually. Calculate the interest earned over 5 years.
Answer:
Earned interest = 1281,23
Step-by-step explanation:
Let C = 9750 be the invested capital, and i = 2.5% be the annual compound interest, And C(5) the capital after 5 years :
we recall that the compound interest equation is written as :
C(n) = C * ( 1 + i ) ^ n
while n is the number of years, we can replace the values. Thus, we wil have :
C (5) = 9750 * ( 1 + 0.025 ) ^ 5
C (5) = 11031,23
So, the earned interest over 5 years is equal to 11031,23 - 9750 = 1281,23
13. Maddie and Tony are having a Stanley Cup party at their house. They are going to buy hoagies for everyone to eat
and cut the hoagies into thirds. If they buy 12 hoagies and 9 people come to the party, how many pieces of hoagies does
each person get to eat?
Each person will get to eat 4 pieces of hoagies.
What is division?Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.
Here, at the Stanley Cup Party Maddie and Tony, they bought 12 hoagies and cut in the thirds which results in 36 pieces of hoagies.
Since, 9 people come to the Stanley party and hoagies have 34 pieces.
So each person will get the following pieces of hoagies
36/9=4.
Therefore, each person at Stanley party will get 4 pieces of hoagies.
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Expand and simplify (2x + 3) (x + 7)
The answer is 3x + 10.
for question 2 find the x- and y- intercept of the line 5x+4y=80
1. The x-intercept of the line is: 16
2. The y-intercept of the line is: 20
What is the X- and Y-intercepts of a Line?The x-intercept of a line is the value of x when the corresponding value of its y-coordinate is equal to 0.
On the other hand, y-intercept of a line is the value of x when its corresponding x-value is equal to zero.
Given the equation, 5x + 4y = 80, to find the x-intercept, substitute y = 0:
5x + 4(0) = 80
5x + 0 = 80
5x = 80
x = 80/5
x = 16
x-intercept is: 16
To find the y-intercept, substitute x = 0:
5(0) + 4y = 80
0 + 4y = 80
y = 20.
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find the 10th term 10,11,12,13
The 10th term of the series is 19.
Given series is an Arithmetic Progression (AP).
First term = a = 10
Difference = d = 11 -10
= 1
nth term = [tex]a_{n}[/tex] = a + (n-1)d
10th term = [tex]a_{10}[/tex] = 10 + (10 - 1)1
= 10 + 9*1
= 10 + 9
= 19
Hence, 10th term is 19.
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A real estate agent makes an annual salary of $25,000 plus 3% commission on sales. She wants to make at least $50,000 per year. What should be her sales per year?
The required sale for the year is given as $833,333.34.
Given that,
A real estate agent makes an annual salary of $25,000 plus 3% commission on sales. She wants to make at least $50,000 per year.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the sales be x,
according to the question,
25000 + 0.03x = 50000
0.03x = 25000
x = 25000/0.03
x = $833,333.34
Thus, the required sale for the year is given as $833,333.34.
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The half-life of radium-226 is 1600 years. Suppose we have a 27-mg sample.
(a) Find a function
m(t) = m02−t/h
that models the mass remaining after t years.
m(t) =
(b) Find a function
m(t) = m0e−rt
that models the mass remaining after t years. (Round your r value to six decimal places.)
m(t) =
(c) How much of the sample will remain after 4000 years? (Round your answer to one decimal place.)
mg
(d) After how many years will only 17 mg of the sample remain? (Round your answer to one decimal place.)
yr
A function m(t)= m₀e^(-rt) that models the mass remaining after t years is; m(t) = 27e^(-0.00043t)
The amount of sample that will remain after 4000 years is; 4.8357 mg
The number of years that it will take for only 17 mg of the sample to remain is; 1076 years
How to solve exponential decay function?
A) Using the model for radioactive decay;
m(t)= m₀e^(-rt)
where;
m₀ is initial mass
r is rate of growth
t is time
Thus, we are given;
m₀ = 27 mg
r = (In 2)/1600 = -0.00043 which shows a decrease by 0.00043
and so we have;
m(t) = 27e^(-0.00043t)
c) The amount that will remain after 4000 years is;
m(4000) = 27e^(-0.00043 * 4000)
m(4000) = 27 * 0.1791
m(4000) = 4.8357 mg
d) For 17 mg to remain;
17 = 27e^(-0.00043 * t)
17/27 = e^(-0.00043 * t)
In(17/27) = -0.00043 * t
-0.4626/-0.00043 = t
t = 1076 years
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The inverse of function f(x)=10^x
The inverse function is [tex]f^-^1(x) = \frac{Inx}{In10}[/tex] and Domain (0, infinity) and Range is (-infinity , infinity).
Given,
In the question:
The inverse function f(x) = [tex]10^x[/tex]
To find the inverse function:
Now, According to the question;
f(x) = [tex]10^x[/tex]
Rewrite the function using y
y = [tex]10^x[/tex]
Interchange the position of x and y in the function
x = [tex]10^y[/tex]
Isolate the dependent variable
y = [tex]\frac{Inx}{In10}[/tex]
Find the inverse function
[tex]f^-^1(x) = \frac{Inx}{In10}[/tex]
Hence, The inverse function is [tex]f^-^1(x) = \frac{Inx}{In10}[/tex] and Domain (0, infinity) and Range is (-infinity , infinity).
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the equation of line1 y=5x+1 the equation of line2 2y-10x+3=0
state these two lines are parallel
Line 1 and Line 2 are parallel because they have the same slope.
How to know if lines are parallel?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
m = slopeb = y-interceptTwo lines are parallel if the slopes are the same.
The equation of line 1 is y = 5x + 1
The slope of Line 1 is 5.
Let's find the slope of Line 2 using the equation.
2y - 10x + 3 = 0
Let's represent the equation in slope intercept form to locate the slope easily.
2y - 10x + 3 = 0
2y = 10x - 3
y = 10 / 2 x - 3 / 2
y = 5x - 3 / 2
The slope of line 2 is 5
Therefore, Line 1 and Line 2 are parallel.
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x^2+2x-8
fine vertical line of symmetry
Answer:
x = - 1
Step-by-step explanation:
given a parabola in standard form
ax² + bx + c ( a ≠ 0 )
then the vertical axis of symmetry is
x = - [tex]\frac{b}{2a}[/tex]
x² + 2x - 8 ← is in standard form
with a = 1, b = 2 , then
x = - [tex]\frac{2}{2}[/tex] = - 1
equation of axis of symmetry is x = - 1
help me please :))))))))))))))))))
Use a protractor it will help alot
Find the measure of the marked angles
The measure of the angles is=
The measure of the angles are (4x + 24)° = 52° and (6x - 10)° = 32°; The value of x =7°.
What is vertically opposite angles?
The opposing angles created by the junction of two lines are known as vertical angles or vertically opposite angles. A pair of angles that are vertically opposed to one another are always equal.Vertically opposite angles, or ical angles. A pair of angles that are vertically opposed to one another are always equal. Additionally, a vertical angle and the angle to which it is adjacent are supplementary angles, meaning their sum is 180 degrees.Two lines are said to intersect when they cross at a certain location in a plane. The lines are referred to as parallel when they do not intersect at any point in the plane.So, (4x + 24)° = (6x - 10)°
24° - 10° = 6x - 4x
2x = 14°
x = 14°/2
x = 7°
Substitute x in those values:
(4x + 24) = (4(7) + 24)°
= 28+24
= 52°
(6x - 10)° = (6(7) -10)
= 42° - 10°
= 32°
Hence, the measure of the angles are (4x + 24)° = 52° and (6x - 10)° = 32°; The value of x =7°.
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Answer:
x = 7
Step-by-step explanation:
The measure of the angles are (4x + 24)° = 52° and (6x - 10)° = 32°; The value of x = 7°.
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Answer:
Angle x = 113 degrees
Angle y = 67 degrees
Step-by-step explanation:
First, off you can eliminate the 200 degrees, because the maximum degrees is only 180 degrees. Then 23 and 11 are way to small of angles to look like what x and y look like, and 113 and 67 look much better than the other angles.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 15 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Leanne sells magazine subscriptions over the telephone. She earns $14 for every subscription she sells,
How much will Leanne earn if she sells 15 subscriptions?
Leanne earned $224 last month, how many subscriptions did she sell?
Answer:
Amount of money Leanne will earn
= $14 × 15 subscriptions
= $210
Number of subscriptions Leanna sold last month
= $224 ÷ $14
= 16 subscriptions
In 2015, a town had a population of 80,000. It then declined at a rate of 4% per year. What was the town's population in 2018?
please help me with this question! thank you
The line joining R and R' is perpendicular to the line m therefore, the slop is the negative inverse of the slope of the line m which is (-1/2)
11. The point R is at located at R'(6, -1)
What are perpendicular lines?Perpendicular lines are oriented at 90° to each other.
11. The image of a point (x, y) following a reflection is located directly vertical on the other side of the line.
The image of (x, y) after a reflection across the x-axis is (x, -y), the x-coordinate remains the same such that the line joining (x, y) and (x, -y), is perpendicular to the x-axis, which is the line of reflection.
Similarly, when R is reflected across the line m to produce the image, R', the segment [tex]\overline{RR'}[/tex] joining the preimage and the image of the reflection, will be perpendicular to the line m.
The slope of the line perpendicular to the line m, y = 2·x - 3 is -(1/2) which is -0.5
The slope of the segment [tex]\overline{RR'}[/tex] is -0.5
11. The coordinates of the point R is R(-2, 3)
The known slope of the line joining R and R' and the coordinates of the point R(-2, 3) indicates that the equation of the line on which the image is located is therefore;
y - 3 = (-0.5) × (x - (-2)) = -0.5·x - 1
y = -0.5·x - 1 + 3 = -0.5·x + 2
The point of intersection of the two lines is therefore;
-0.5·x + 2 = 2·x - 3
2.5·x = 5
x = 5/2.5 = 2
y = 2×2 - 3 = 1
The point of intersection is I(2, 1)
The change in the x and y-coordinate from I to R are;
Δx = 2 - (-2) = + 4
Δy = 1 - 3 = -2
The change for point R' are therefore;
Δx' = (2 + 4) = 6
Δy' = 1 - 2 = -1
The coordinates for R' is (6, -1)
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Stage two is so hard, i dont understand anything
Answer:
the answer I got is option number three i.e 4
If a sample consists of 1900 scores blank of them would be above the first quartile
If a sample consists of 1900 scores from sample no. 476th will be above the first quartile.
What are mean, median, and mode?The three main methods for identifying the average value of a set of integers are mean, median, and mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.
The middle value in a list that is arranged from smallest to greatest is called the median.
The value that appears the most frequently on the list is the mode.
Given a sample consisting of 1900 scores.
∴ The no. of samples that would be above quartile is the next sample from (1/4)th of 1900 which is,
= (1/4)×1900 + 1.
= 475 + 1.
= 476.
So from sample no. 476th will be above the first quartile.
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Need help Turing this into an equation
The linear equation in general form to represent the given statement will be 5A + 3B = 553600.
How to form general equation?
The formula ax+by+c=0 is one of the numerous formats in which linear functions can be expressed. The slope intercept form y=mx+b and slope-point form are two more examples. The linear function can be transformed into various forms.Jose invested money in fund A at interest = 6%
Interest = (A * 5 * 1) / 100
Interest on fund A = A/20
Jose invested money in fund B at interest = 5%
Interest = (B * 6 * 1) / 100
Interest = 3B/100
Total interest he get = $5536
Interest on fund A + Interest on fund B = 5536
A/20 + 3B/100 = 5536
(5A + 3B)/100 = 5536
5A + 3B = 553600
Therefore, the linear equation in general form to represent the given statement will be 5A + 3B = 553600.
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If a polynomial function f(x) has roots -9 and 7-i, what must be a factor of f(x)?
○ (x-(7 + 1))
O (x-(-7-1))
○ (x + (7 + 1))
O (x + (7-1)
Answer:
(a) (x -(7 +i))
Step-by-step explanation:
You want to know what must be a factor of f(x) if it has roots -9 and 7-i.
Complex rootsThe complex roots of a polynomial with real coefficients are always found in conjugate pairs. Since 7-i is a root, its conjugate, 7+i, must also be a root. The corresponding factor is ...
(x -(7 +i))
If 7-i is a root of f(x), then (x -(7+i)) must be a factor.
Six values on the number line above are marked with letters. Match the opposites.
Question 14 options:
A)
A and D
B)
E and W; A and D
C)
G and W
D)
G and W; E and D
The matched opposites are G and W.
what is number line ?
The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.
G = -6 and W = +6, they are opposite to each other.
This means, same number 6 with opposite signs + and -
Therefore, the answer is C) G and W
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