Grey will record interest during the year totaling $500.
Define the term interest-bearing note?An interest-bearing note is a sum of money that a lender lends to a borrower, with interest accruing in line with the conditions of the contract.Notes with an interest component have a defined rate of interest that must be paid on top of the principal amount. There is no specified interest rate on zero-bearing and non-interest bearing notes.For the stated question-
Borrowed money from national bank = $15,000.
Time 120 days.
10% interest-bearing note
Thus, interest during the year;
interest = 15000 x 120 x 0.10 / 360 (days)
interest = 500
Thus, Grey will record interest during the year totaling $500.
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What is an equation of the line that passes through the points (0, 4) and (-6, 8)?
Answer,
Submit Answer
The required equation of the line is 3x + 2y = 8.
What is an equation?
Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. To solve equations from either family, algorithmic or geometric approaches derived from linear algebra or mathematical analysis are used. Algebra also explores and solves Diophantine equations with integer coefficients. The approaches employed are unique and derive from number theory. In general, these equations are complex; one frequently searches just for the existence or lack of a solution, and, if they exist, the number of solutions.
The required equation of the line is
(y-4) = (0+6)/(4-8) (x-0)
or, y - 4 = 6/(-4) x
or, y - 4 = -3/2 x
or, 2y - 8 = -3x
or, 3x + 2y = 8
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Simplify the following expression. -4 × (-7) A. -28 B. -11 C. 28 D. 11
Answer:
C. 28
Step-by-step explanation:
-4×(-7)
Open bracket
-4×-7
=28
how do you say kevin skip counts by multiples of 2 starting with 124. what will be true about all of the numbers in his pattern?
Answer:
Some things that will be true are, that the pattern will go 124,126,128,ect
Another thing is that 124 is an even number
Step-by-step explanation:
which of the following is correct about a probability distribution? each outcome must be between 0 and 1 inclusive outcomes must be mutually exclusive sum of all possible outcomes must equal 1 all the above
Answer:
All of the above are correct.
interval notation for -11m <= -55
The interval for the inequality is (5, ∞].
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
-11m <= -55
Now, solving the inequality
-11m ≤ -55
Divide both side by 11
-11m/ 11 ≤ -55/ 11
-m ≤ -5
m≥ 5
Hence, the interval for the inequality is (5, ∞]
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Which of Polygons B, C, D, E, and F are similar to Polygon A? Select all that apply. Recall
that similar means same shape and different sizes. The figures do not need to be
oriented the same way.
Answer: A, D, F
The guy above me is wrong.
3) An object has a mass of m=2kg and is moving in uniform circular motion at a radius of r=3.1m.
The object has a tangential velocity of v= 10 m/s.
a. what is the objects centripetal acceleration?
b.what is the object's centripetal force?
Answer:
a = 32.3 m/s^2
F = 64.6 N
Step-by-step explanation:
a = v^2 / r
a = 10^2 / 3.1
a = 32.3 m/s^2
F = ma
F = 2 * 32.3
F = 64.6 N
Jon works on a cruise ship and sleeps in a cabin that is 6 feet below sea level the main deck is 35 feet above jon's cabin. How far above sea level is the mian deck?
Answer:
29 feet
Step-by-step explanation:
35 - 6 = 29
The main desk is
29 feet above sea level
How do you write y = 2 - 3x in standard form
Answer: 3x + y = 2
Step-by-step explanation: Take the 3x and put it in the beginning then write 2 + y = 2. It's because we first must put the number that has an x on it then put the letter y, so 3x + y = 2.
Answer:
y=2-3x in standard form is y =3x+2
Step-by-step explanation:
because we moved the 2 to the other side and when 2 crosses a negative sign it becomes minus and when minus 3x crosses a negative sign it becomes plus becos minus times minus is plus.
A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Progressive
Range ($)
Tax Rate
0 - 3000
2%
3001 - 5000
3%
5001 - 17,000
5%
17,001 and up
5.75%
Calculate the state income tax owed on an $80,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
Enter
$80,000 is subject to a $4433 state income tax.
Define tax.Taxes are sums of money that citizens are required to pay in accordance with their income, the value of their property, and other factors. These sums of money are used to fund the government's activities. A taxpayer is a natural person, business, or other entity that must pay taxes. The government may provide identity or reference numbers to individuals or businesses as modern taxpayers. One who pays taxes is often referred to as a "taxpayer".
Given,
The sum of the taxes owed in each bracket is the total amount owed in taxes.
2%×$3000 +3%×(8000 -3000) +5%×(17000 -5000) +5.75%×(80000 -17000)
= 60 +150 +600 +3622.5
= $4432.50
≈ $4433
$80,000 is subject to a $4433 state income tax.
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Find the set values taken by 1/ 9x^2 +12x +7 for real values of x. (The whole quadratic equation goes under 1/)
The function f(x) = 1/9x² + 12x + 7 has zeros or solution as x = -0.61
Roots of Quadratic FunctionRoots of quadratic equation is the values of variables satisfying the given quadratic equation are called its roots. In other words, x = α is a root of the quadratic equation f(x), if f(α) = 0. The real roots of an equation f(x) = 0 are the x-coordinates of the points where the curve y = f(x) intersect the x-axis.
The roots of the quadratic function or zeros of the function is the actual solution of the quadratic function.
In the given function f(x) = 1/9x² + 12x + 7 has roots of -0.608≅ -0.61
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the fracture strength of tempered glass averages 14.1 (measured in thousands of pounds per square inch) and has standard deviation 2. (a) what is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3? (round your answer to four decimal places.)
The probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3 is 0.16%.
The normal distribution is a type of probability function that describes how a variable's values are distributed. Since the majority of the observations cluster around the curve's middle peak, it is symmetric. In both directions, the probability for values of the distribution that are far from the mean.
Given that the fracture strength of tempered glass averages 14.1 (measured in thousands of pounds per square inch) and has standard deviation 2.
We have to determine what is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3?
We that μ = 14.1 σ = 2 n = 100 δ = 2/√100 = 0.2
This probability is 1 subtracted by the p-value of Z when X = 14.3. So
Z = (x-μ)/σ
By the Central Limit Theorem
Z = (x-μ)/δ
Z = (14.3 – 14.1)/0.2
Z = 0.2/0.2
Z = 1
Z =1 has a p-value is 0.8413
= 1 - 0.8413 = 0.1587
Therefore 0.16% is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3.
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A line has a slope of -4 and includes the points (-9, -9) and (r, -5). What is the value of r?
what is the value of r?
If a line has a slope of -4 and includes the points (-9, -9) and (r, -5), the value of r is 10.5
A line has a slope of -4 and includes the points (-9, -9) and (r, -5)
Slope of a line passing through two points can be calculated by
m =(y₁ - y₂)/(x₁ - x₂)
The point (-9, -9) be (x₁, y₁ )and (r, -5) be (x₂, y₂)
We need to calculate the value if r
-4 = (-9 - (-5 ))/(-9 - r)
-4 = -4/(-9 - r)
-4 (-9 - r) = -4
38 + 4r = -4
4r = -42
r = 10.5
If a line has a slope of -4 and includes the points (-9, -9) and (r, -5), the value of r is 10.5
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Solve the inequality |x + 9| − 9 < 2 and graph the solutions. Then write the solutions as a compound inequality.
The solution for the inequality is:
-20 < x < 2
And the graph of the solution set can be seen below.
How to solve the inequality?
Here we have the inequality:
|x + 9| - 9 < 2
If we add 9 in both sides, we will get:
|x + 9| < 2 + 9
|x + 9| < 11
Now we can decompose the absolute value in a compound inequality:
-11 < x + 9 < 11
Now we can subtract 9 in the whole inequality to get:
-11 - 9 < x < 11 - 9
-20 < x < 2
The graph of this inequality is the one you can see below.
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Cindy works part-time and earns $5.75 an hour. One year she worked 50 weeks and averaged 12.4 hours of work per week. About how much money did she earn that year?
Answer: $3,565, she not paying no bills.
4d +5≥ 13 or 7d-2 <12
Answer:
4d + 5 ≥ 13
Step-by-step explanation:
1. 4d + 5 ≥ 13
-5 -5
4d ≥ 8
4d/4 = d
8/4 = 2
d=2
4x2+5 =13
13≥13
2. 7d - 2 < 12
+2 +2
7d < 14
7d/7= d
14/7 = 2
d=2
7x2-2 = 12
12<12
please hurry
what is angle E
The measure of angle E is 121 degrees
The length of the side AB = The length of the side DE
The length of the side BC = The length of the side EF
The length of the side AC = The length of the side DF
The three sides of the triangle ABC is equal to the three sides of the triangle DEF.
Therefore the triangle ABC and triangle DEF is congruent
Therefore,
Angle B = Angle E
96 + y = 6y - 29
6y -y = 96 + 29
5y = 125
y = 125 / 5
y = 25
Angle E = 6y - 29
= 6×25 - 29
= 150 - 29
= 121 degrees
Hence, the measure of angle E is 121 degrees
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How to solve number 2
The congruent figures are rectangles that are ABCD is congruent to JKLM.
Given that,
In the picture we have a graph,
We have to find the congruent figures.
In terms of geometry, congruent means having the same dimensions and form. Figures, angles, and line segments can all be used to demonstrate congruence. If two angles have the same measure, they are said to be congruent. When the corresponding sides and angles of two triangles are equal, two triangles are said to be congruent.
The congruent figures are rectangles that are ABCD is congruent to JKLM.
Therefore, The congruent figures are rectangles that are ABCD is congruent to JKLM.
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Sodium-24 has a half-life of approximately 15 hours. If only one-eighth of the sodium-24 remains, about how much time has passed?.
The half-life of sodium-24 is around 15 hours. If just 1/8 of the sodium-24 is left, it has been eliminated in 60 hours.
What is the decay and half-life law?The half-life is the amount of time needed for half of the initial population of radioactive atoms to decay. T1/2 = 0.693/λ is the equation that describes the connection between the half-life, T1, and the decay constant. The rate of radioactive atoms decaying at any given instant is precisely proportional to the quantity of atoms present at that time, as stated by the radioactive decay law.
dtd N ∝ N
dtd N = λ N
where, N is number of integrated nucleus present in the sample at any time t and λ is decay constant.
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Find x.
a) 3√3
b) 81
c) 9√3
d) 6√3
Step-by-step explanation:
(x + 2)( x – 2)
A. x2 − 8
B. 3x2 − 14x − y
C. x2 − 4
D. x2 − 2
2. Factor Completely: x2 − 36
A. (x + 6)(x – 6)
B. (x + 6)(x + 6)
C. (x – 6)(x − 6)
D. Prime
3. Factor Completely: 4x2 − 81
A. (4x – 9)(x + 9)
B. (2x + 9)(2x + 9)
C. (2x + 9)(2x – 9)
D. (2x – 9)(2x − 9)
4. Factor Completely: x2 + 16
A. (x + 4)(x + 4)
B. (x + 4)(x – 4)
C. Prime
D. (x – 4)(x − 4)
5. Factor Completely: 2x2 − 18
A. Prime
B. 2(x2 − 9)
C. 2(x + 3)(x – 3)
D. 2(x + 3)(x + 3)
6. Factor Completely: 3x2 − 21
a ream of paper contains 500 sheets. how many reams are needed to type a manuscript of 6000 pages? Explain why.
Answer: 12 reams of paper
Step-by-step explanation:
The total number of pages (sheets) necessary is 6000. If a single ream of paper contains 500 sheets, to solve the problem, you need to figure out how many 500s go into 6000. This can be done via division, and therefore,
[tex]6000/500=12[/tex]
Find the area of each!
Pls explain how do I do this
Answer: 5.4 inches
Step-by-step explanation:
The area of a triangle is the base x height/2.
The red is telling you the triangle is 2.7 inches tall, and the black is telling you that the base is 4 inches.
That means the answer is 4 * 2.7/2 = 5.4
Find the gradient of the line that passes through the
coordinates (2, 10) & (5, 22)
Ramon earns $1,615 each month and pays $53.70 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Ramon spends _____% of his earnings on electricity each month.
Answer:
Around 3.3%
Step-by-step explanation:
A park ranger, on top of a 200-‐foot tower, spots a wolf at an angle of depression of 14°. How far is the wolf from the base of the tower?
802.2 ft
224.9 ft
965.3 ft
541.2 ft
If a park ranger, on top of a 200-‐foot tower, spots a wolf at an angle of depression of 14°. The distance of the wolf from the base of the tower is: A. 802.2 ft.
How to find the distance?Making use of Tan to solve for x
Let x represent the distance between the tower and the wolf
Hence,
Tan 14° =200/x
Cross multiply
x = 200/Tan 14°
x = 200 / 0.2493
x = 802.2 ft
Therefore the correct option is A.
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ABCD is a rhombus.
The coordinates of A are (5,11)
The equation of the diagonal DB is y = [tex]\frac{1}{3}[/tex] x + 5
The equation of the diagonal AC can be written in the form y = mx + c where m and c are integers.
Work out the value of m and the value of c.
Answer:
m = - 3 and c = 26
Step-by-step explanation:
• the diagonals of a rhombus are perpendicular bisectors of each other
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 5 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then
y = - 3x + c ← is the partial equation of AC
to find c substitute A (5, 11 ) into the partial equation
11 = - 15 + c ⇒ c = 11 + 15 = 26
y = - 3x + 26 ← equation of diagonal AC
with m = - 3 and c = 26
what is please im stuck on this question y=−3x+21?
WILL GIVE BRAINLIEST
Insert negative signs, and addition and subtraction symbols to make each sentence true. Example: 1 = 1 +(-2)+(-3)+4+(-5)+6
a. 7= 1?2?3?4?5?6 b. 3= 1?2?3?4?5?6
c. -1=1?2?3?4?5?6 d. -11=1?2?3?4?5?6
The true sentences are:
(a) 7 = 1+2+(-3)+(-4)+5+6
(b) 3 = 1 +(-2)+(-3) +(-4) +5 +6
(c) -1= 1+ 2 + 3 + 4 + (-5) + (-6)
(d) -11= 1 + (-2) + (-3) + 4 + (-5) + (-6)
What is an equation?Two or more expressions with an equal sign are defined as an equation.
(a) The given equation is 7=1?2?3?4?5?6.
7=1?2?3?4?5?6
Insert symbols:
7 = 1+2+(-3)+(-4)+5+6
(b) The given equation is 3=1?2?3?4?5?6.
3=1?2?3?4?5?6
Insert symbols:
3 = 1 +(-2)+(-3) +(-4) +5 +6
(c) The given equation is -1=1?2?3?4?5?6.
-1=1?2?3?4?5?6
Insert symbols:
-1= 1+ 2 + 3 + 4 + (-5) + (-6)
(d) The given equation is -11=1?2?3?4?5?6.
-11=1?2?3?4?5?6
Insert symbols:
-11= 1 + (-2) + (-3) + 4 + (-5) + (-6)
Hence, The true sentences are:
(a) 7 = 1+2+(-3)+(-4)+5+6
(b) 3 = 1 +(-2)+(-3) +(-4) +5 +6
(c) -1= 1+ 2 + 3 + 4 + (-5) + (-6)
(d) -11= 1 + (-2) + (-3) + 4 + (-5) + (-6)
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please help what is the solution
Answer:
1<x≤6
Step-by-step explanation:
Subtract 5 from 6 and 5 and 11
Marques is a high school basketball player. In a particular game, he made some three point shots and some free throws (worth one point each). Marques made a total of 8 shots altogether and scored a total of 12 points. Determine the number of three point shots Marques made and the number of free throws he made.
The number of 3point shot made by Marques is 2 and the number of free throws he made is 6
What are Simultaneous equations?Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations. This implies that the simultaneous equations have a common solution.
If the number of 3points made is x and the number of free throw is y, then
x+y= 8 equation 1
the total points made will be
3x+y= 12 equation 2
subtracting equation 1 from 2
2x = 4
x= 4/2= 2
substitute 2 for x in equation 1
2+y= 8
y= 8-2= 6
therefore the number of 3points shot and free throw made are 2 and 6 respectively.
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