A car costs $22,000, and you're offered a loan that requires $800 down and a monthly payment of $439.23 for 54 months, how much will you pay in interest? Round your answer to the nearest dollar.
we have
800+54*(439.23)=$24,518.42
the interest is equal to
I=$24,518.42=$22,000
I=$2,518.42
Round to the nearest dollar-----> $2,518when its comes to interest,most CDs will allow which of the following options?
a. Unlimited withdraws of interest
b. Periodic interest payout
c. loans against principal
d. Withdrawal of principal
When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.
A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.
However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.
While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.
Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.
So, correct option is B.
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what is 11/4 times 4/9
Answer: 11/9
Step-by-step explanation:
you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9
Answer:
11/4 times 4/9 is 11/9
Step-by-step explanation:
We have to find,
(11/4) times 4/9
\((11/4)(4/9) = (11*4/4*9)\)
We can cancel the 4s from the numeratorand denominator to get,
\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)
The answer is 11/9
If the Miller's spend $1200 on housing each month, then what is their total monthly budget?
Answer:
2400$
Step-by-step explanation:
Miller's Family spends 50% of their budget on housing and we know that they spent 1200$ this month, so 1200$*2 = 2400$.
Have a nice day! :-)
I need help no one helps me never
How did you get 2 1/4
Answer:
the answer is 5.25
hopefully this will help u... ^_^
Step-by-step explanation:
2 1/4 can be written as the fraction 9/4. To get this fraction, you could divide 4 into 9. This would give you 2 1/4 as the answer.
write y-5=(4/3)(x-6) into a point intercept form
The equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.
The point-slope form of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. The point-slope form of a line can be converted to the slope-intercept form of a line, y = mx + b, where b is the y-intercept.
The equation y - 5 = (4/3)(x - 6) can be rearranged into the point-slope form of a line by isolating the y-term and simplifying: y - 5 = (4/3)(x - 6)y - 5 = (4/3)x - 8y = (4/3)x - 3
Now, we have the point-slope form of the line with slope 4/3 and y-intercept -3.
To convert this to the slope-intercept form of a line, we simply rearrange the equation to solve for y:y = (4/3)x - 3 This is the slope-intercept form of the line, where the slope is 4/3 and the y-intercept is -3.
Thus, the equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.
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7.
Kermit solved the equation below and got x = 5, but he isn't sure he solved correctly.
Show Kermit how he can check his equation using his solution. Let him know if he
solved the equation correctly or not, explaining how you know.
5(x - 4) + 20 = 14
The statement "25 = 14" is clearly false, so Kermit's solution of x = 5 is not correct. Therefore, Kermit made a mistake in solving the equation.
What is the equivalent expression?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
To check if Kermit's solution is correct, we can substitute x = 5 back into the original equation and see if it makes a true statement:
5(x - 4) + 20 = 14
5(5 - 4) + 20 = 14
5(1) + 20 = 14
25 ≠ 14
Hence, The statement "25 = 14" is clearly false, so Kermit's solution of x = 5 is not correct. Therefore, Kermit made a mistake in solving the equation.
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EASY POINTS!
Jess is playing the newest video game. The object of the game is to collect as many
points as you can in the shortest time. The amount of points Jess collects is directly
proportional to the number of hours she plays. This relationship is represented in the
graph shown here:
Meanwhile, her friend Kira has also been playing the game. At the end of each day, she
recorded the number of points she collected. It turns out, she is collecting points in
direct proportion to the number of days she plays. This relationship is represented by
the equation: y = 440x.
Who is collecting points faster in this new game, Jess or Kira?
According to the information, it can be inferred that Jess scores more points than Kira in the new video game.
How to find who scores the most points in the new video game?To find who scores the most points in the new video game we must perform the following operation:
We know that Kira gets 440 points for each day, so we need to calculate how many points Jess gets each day. Therefore, we must multiply the points Jess earns each hour by the 24 hours she has in a day to find how many points she earns in a day.
20 points / hour * 24 = 480 points / day
According to the above, Jess will make more points in a day than Kira. However, she would have to play the full 24 hours of the day without a break.
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If the proportion of the total disposable income spent on consumer goods and services is 91.6 percent and if consumers spend 82.0
percent of each additional dollar, what is
Instructions: Round your responses to three decimal places.
a. the APC?
b. the APS?
c. the MPC?
d. the MPS?
a) The Average Propensity to Consume (APC), rounded to three decimal places, is 0.916.
b) The Average Propensity to Save (APS), rounded to three decimal places, is 0.084.
c) The Marginal Propensity to Consume (MPC), rounded to three decimal places, is 0.820.
d) The Marginal Propensity to Save (MPS), rounded to three decimal places, is 0.180.
What do these economic indexes mean?The average propensity to consume is the ratio of consumption expenditures to the total consumers' disposable income.
The average propensity to save is the inverse of the APC. It shows the rate of or total disposable income reserved instead of being consumed.
The marginal propensity to consume is the ratio of consumption based on additional income.
The marginal propensity to save is the inverse of the MPC, showing the percentage of the additional income saved instead of being consumed.
APC = 91.6%
= 0.916
APS = 1 - APC
= 0.084 (1 - 0.916)
MPC = 82%
= 0.820
MPS = 1 - MPC
= 0.180 (1 - 0.820)
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What number is exactly halfway between 5/9 and 7/9
Answer:
11/18
Step-by-step explanation:
Directly between 5/9 and 6/9 would be 5.5/9 (or 5 and half ninths. However, you’re not supposed to mix regular fractions and decimal fractions.
So, the easiest way to get the proper answer would be to convert the fractions to eighteenths, which would give you a whole number numerator between the two given fractions.
So, 5/9 = 10/18 and 6/9 = 12/18. What number is directly exactly between 10 and 12? 11.
What set of reflections would carry rectangle ABCD onto itself? (1 point) Rectangle ABCD is shown. A is at negative 5, 1. B is at negative 5, 3. C is at negative 1, 3. D is at negative 1, 1. Group of answer choices y-axis, x-axis, y-axis, x-axis x-axis, y=x, y-axis, x-axis x-axis, y-axis, x-axis y=x, x-axis, x-axis
The set of reflections that would carry Rectangle ABCD into itself is given as follows:
y = x, x-axis, y = x, y-axis.
How to obtain the set of reflections?There are three possible reflections in this problem, listed as follows:
Reflection over the x-axis.Reflection over the y-axis.Reflection over y = x.The rules for each reflection are given as follows:
Reflection over the x-axis: (x,y) -> (x,-y).Reflection over the y-axis: (x,y) -> (-x,y).Reflection over y = x -> (y,x).The rectangle ABCD is mapped into itself, hence the complete rule is given as follows:
(x,y) -> (x,y)
Trying the third option, we have that:
x-axis: (x,y) -> (x,-y).y = x: (x,-y) -> (-y,x).x-axis: (-y,x) -> (-y,-x).y = x: (x,-y) -> (-x,-y).So false.
Then for the fourth option, we have that:
y = x: (x,y) -> (y,x).x-axis: (y,x) -> (y,-x).y = x: (y,-x) -> (-x,y).y-axis: (-x,y) -> (x,y).Hence it is correct.
Missing InformationThe options are given by the image shown at the end of the answer.
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Translate this sentence into an equation. 76 is the product of Malik's savings and 4.Use the variable m to represent Malik's savings.
Solution:
Let m represent Malik's savings
76 is the product of Malik's savings and 4. can be represented as
76 = 4 times m
76 = 4m
The answer is 76 = 4m
4)Does this shape belong in a group of shapes that have more than one pair of
perpendicular sides?
Use the drop-down menus to explain your answer.
4) Click the arrows to choose an answer from each menu.
The number of right angles in this shape is Choose....
meet at a right angle is Choose....
perpendicular sides in this shape. This shape
shapes that have more than one pair of perpendicular sides.
. Each pair of sides that
▾ of
in a group of
.There Choose...
Choose...
No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.
Does the shape have > one pair of perpendicular sides?In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.
A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.
If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.
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Suppose you are interested in estimating the proportion of Florida State University students who make use of the university's mental health services. You take a sample of 300 students, and find that 47 made use of the university's mental health services. Which of the following is a 95% confidence interval for the true proportion of Florida State University students who make use of the university's mental health services (rounded to two decimal places)? a. 16.84 b. 12.20 c. 10.21 d. 45.57
Answer:
The 95% confidence interval for the true proportion of Florida State University students who make use of the university's mental health services is (0.12, 0.20). Option b.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
For this problem, we have that:
\(n = 300, \pi = \frac{47}{300} = 0.1567\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1567 - 1.96\sqrt{\frac{0.1567*0.8433}{300}} = 0.1156\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1567 + 1.96\sqrt{\frac{0.1567*0.8433}{300}} = 0.1978\)
Rounded to two decimal places: (0.12, 0.20)
The 95% confidence interval for the true proportion of Florida State University students who make use of the university's mental health services is (0.12, 0.20). Option b.
What is 2 2/3 plus 3 2/3
Answer:
6 1/3
Step-by-step explanation:
Add numbers 2 +3 then 2 + 2 then then both
Denominators are the same so it stay 3 next you have 5 + 4/3 Convert the improper fraction into a mixed number 5 + 1 1/3 Write the mixed number as a sum of the whole number and the fractional part 5 + 1 + 1/3 Add the numbers 6 1/3
Determine if each pair of ratios or rates are equivalent.
16 points scored in 4 games.
48 points scored in 8 games.
Answer:
it is not the same
Step-by-step explanation:
16x4=64 & 48x8=394
Determine whether the table represents a linear or nonlinear function.
Select each statement that could be used to justify your answer.
The rate of change is not constant.
The rate of change is not constant.
The y, -values decrease by the same amount.
The y -values decrease by different amounts.
As the x-values increase by 1, the y-values decrease by 15.
The y -values are multiples of 5.
The function represented by the table is given by the rate of change of
the x and y-values which are constant indicating a linear function.
Response:
The statement that could be used to justify that the table represents a linear function is as following;
The y-values decrease by the same amountHow to determine if a table represents a linear function?The table of of a linear function is one in which the first difference in
the y-values is constant given that the difference in the x-values are also
constant.
From the table, the first difference between each y-value and the
previous y-value is found as follows;
20 - 35 = -15
5 - 20 = -15
-10 - 5 = -15
While the difference between the corresponding x-values = 1 as follows;
0 - (-1) = 1
1 - 0 = 1
2 - 1 = 1
Therefore;
The (rate of) change in the x and y -values in the table are constant, and
the function is a linear function.
The correct statement is therefore;
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both clocks ring toget (b) Two bells hanged at a school were adjusted at 10:00 am in such a way th one of them rings at the interval of every 45 minutes and another at every minutes. At what time will both bells ring together ?
The Least common multiple (LCM) The time at which both bells will ring together is 10:45 am, and the Subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
The time at which both bells will ring together, we need to find the least common multiple (LCM) of the intervals at which each bell rings.
The first bell rings every 45 minutes, and the second bell rings every minute. We want to find the point at which both intervals align, meaning they both divide evenly into the same amount of time.
To find the LCM, we can list the multiples of each interval until we find a common multiple.
Multiples of 45 minutes: 45, 90, 135, 180, 225, 270, 315, 360, 405, ...
Multiples of 1 minute: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...
From the lists above, we can observe that the least common multiple occurs when both intervals coincide at the same time, which is 45 minutes.
Thus, the two bells will ring together every 45 minutes.
If we consider the initial adjustment time of 10:00 am, the first time both bells will ring together is at 10:45 am. After that, they will continue to ring together every 45 minutes throughout the day.
Therefore, the time at which both bells will ring together is 10:45 am, and the subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
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Please help math questions
put number with answers please
Answer:
See below for answers
Step-by-step explanation:
Problem 1
\(\frac{1}{sin\theta}=2cos\theta\: ; \: 0\leq\theta < 2\pi\\\\1=2sin\theta cos\theta\\\\1=sin2\theta\\\\\frac{\pi}{2}+2\pi n=2\theta\\ \\\frac{\pi}{4}+\pi n=\theta\\ \\\theta=\bigr\{\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\bigr\}\)
Therefore, the second option is correct.
Problem 2
\(cos(2x)+1=sin(x)+2\:;\: 0\leq x < 2\pi\\\\1-2sin^2x+1=sin(x)+2\\\\-2sin^2x=sin(x)\\\\0=2sin^2x+sinx\\\\0=sinx(2sinx+1)\)
\(0=sinx\\\\x=\pi n\\\\x=0,\pi\)
\(0=2sinx+1\\\\-1=2sinx\\\\-\frac{1}{2}=sinx\\ \\x=\frac{7\pi}{6}+2\pi n,\frac{11\pi}{6}+2\pi n\\\\x=\frac{7\pi}{6},\frac{11\pi}{6}\)
Therefore, the solution set is \(x=\bigr\{0,\pi,\frac{7\pi}{6},\frac{11\pi}{6}\bigr\}\), making the second option correct.
Problem 3
\(2cos^2x=-cosx\: ;\: 0^\circ\leq x < 360^\circ\\\\2cos^2x+cosx=0\\\\cosx(2cosx+1)=0\)
\(cosx=0\\\\x=\frac{\pi}{2}+\pi n\\ \\x=90^\circ+180n^\circ\\\\x=90^\circ,270^\circ\)
\(2cosx+1=0\\\\2cosx=-1\\\\cosx=-\frac{1}{2}\\\\x=\frac{2\pi}{3}+2\pi n,\frac{4\pi}{3}+2\pi n\\ \\x=120^\circ+360n^\circ,240^\circ+360n^\circ\\\\x=120^\circ,240^\circ\)
Therefore, the solution set is \(x=\bigr\{90^\circ,120^\circ,240^\circ,270^\circ\bigr\}\), making the fourth option correct
please helpppppppppppppppppppp
Answer:
the missing value is -1.......
What is an example of "A one-to-one function of P onto Q is an isomorphism of P and Q "?
An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
How to Identify a One-to-One Function?An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).
Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.
Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.
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Shade one more square so that this pattern has rotational symmetry of order 2.giving magnificent amount of points
Step-by-step explanation:
second colum third row ....
Solve
1) The wage, W dollars, of a person who works R hours of overtime is given by the formula \(W = 200r + 5900\)
a) make a R subject of this formula
b) find the number of hours of overtime worked by someone whose total wage is $8200
Step-by-step explanation:
a)
W = 200R + 5900
now, we want to transform this, so we get R = ...
W - 5900 = 200R
R = (W - 5900)/200
b)
R = (8200 - 5900)/200 = 2300/200 = 23/2 = 11.5
there were 11.5 hours of overtime.
you and your freind are going on a camping trip.you each buy a backpackthat cost $90 and a sleeping bag that costs $60.what is the total cost of the camping eqiptment?
Answer:
$300
Step-by-step explanation:
90 x 2 = 180
60 x 2 = 120
120 + 180 = 300
HELP!!
Next, you will make a scatterplot. Name a point that will be on your scatter plot and describe what it represents.
A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.
What is the scatter plot?The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:
(Input, Output).
One point on the scatter plot for this problem has the coordinates given as follows:
(19, 3).
Hence the meaning is that an input of 19 is mapped to an output of 3.
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Please help, if you’re correct I’ll mark you as brainiest!!!
Answer:
A
Step-by-step explanation:
950 is 95% of 1000
so he lost 5 percent, which can be represented as -5.0%
Answer:
Step-by-step explanation:
because the value went down.. we know the the rate of return , is negative. then we just have to think about , how much is 50 of 1000 ?? well 10 is 10% of 100 right? so 100 is 10% or 1000, right? sooo half of 100, or 50, is 5% of 1000,
so -5% is the return on investment (roi)
in a city, there are 8 and 3 private swimming pools. on weekends, 5 of the pool are open. Brendan says that the ratio of pools open on weekends to the total number of pools is 5:8. Cyndi says the ratio of pools open on weekends to the total of pools is 5:16 is either student correct .?
Answer:
"5", "11", I believe that the answer for the middle option is "neither" or a synonym of that, "5", "11"
Step-by-step explanation:
The text says that there are only 5 pools open on the weekend.
There are a total of 11 pools (8+3).
Both said an incorrect number of total pools, so both are wrong.
The ratio is the number of pools open divided by the number of total pools, or 5/11.
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The three statements that are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² .......equation 1.
Where:
h and k represents the coordinates at the center of a circle.
r represents the radius of a circle.
Based on the information provided, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
By comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x - 0)² + (y - 0)² = 3²
x² + y² = 9.
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how to work 48÷(4+2×10)-1
Answer:
The answer is 1
Step-by-step explanation:
In order to do this equation you use PEMDAS Parentheses, Exponents, Multiplication , Division, Addition and Subtraction
So,
\(48 / (4+2X10)-1\\ 48 /(4+20)-1\\ 48/(24)-1\\48/24-1\\2-1\\1\)
Hoped this helped :D
Marcus is 48 inches tall. If Marcus is 2/3 of his
older brother's height, how tall is his older brother?
Answer:
48=2/3
48×3÷2= Marcus older brother height
72 inches