Answers
Answer: A = 3
Step-by-step explanation:
4x-2=10
4x=12
x =12/4
x=3
Related Questions
What is the period, phase shift and cosine function of this graph
Answers
The period, phase shift, and cosine function of the graph are;
The period = π
The phase shift = π/8
The cosine function is; y = 2·cos(2·(x - π/8)) - 1
What is the period of the graph of the cosine function?The period of the graph is the distance between two consecutive peaks of the wave.
The maximum value of the graph is 1 at x = π/8 and x = 9·π/8, and the minimum value of the function is; -3 at 5·π/8.
The vertical displacement can be obtained from half the sum of the max and min point as follows;
Vertical displacement = (1 + (-3))/2 = -1
The vertical displacement = -1
The amplitude = Half the distance between the max and min point of the graph
Amplitude, a = (1 - (-3))/2 = 2
The amplitude, a = 2
The period of the graph = 9·π/8 - π/8 = 8·π/8 = π
The period = 2·π/b
Therefore; 2·π/b = π
b = 2·π/π = 2
b = 2
The phase shift = π/8
The cosine function is therefore;
y = 2·cos(2·(x - π/8) - 1
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2.1 2.2 2.3 24 Distinguish between the Admission Point Score (APS) and the (2X2) (4) National Benchmark Test (NBT), Why it is important for a grade 11 learner to complete the (2/2) (4) KHETHA booklet? Evaluate how TVET colleges address the need for specialised (1x4) (4) skills training in SA. 2.7 Recommend TWO ways in which a grade 11 learner could (2x3) (6) develop a career portfolio. In each answer, also indicate how a career portfolio could help you in choosing a suitable career, 2.5 Define the term 'career portfolio and state FOUR reasons why (2+4) (5) a career portfolio is important in this era of the 21 century. Mention TWO financial obligations of a study loan (2x1) (2) Indicate FOUR benefits of learnerships to a young person (4x1) (4) seeking higher education opportunities. 2.6 Sub-Total 30
Answers
The NBT is used to evaluate a student's academic readiness for tertiary education, whereas the APS is used to establish whether a student meets the minimal standards for admission to a certain course.
What is NBT scores?
The National Benchmark Test Project created the National Benchmark Test (NBT), a test. In order to determine a learner's academic preparation for university, a battery of examinations is utilized to evaluate their academic literacy, general knowledge, and mathematics proficiency.
The NBT pass mark is what?
The National Benchmark Tests do not have a passing score. Your results will be plotted on a benchmark scale, which will help the university determine if you are prepared for university-level work. Since the NBTs are merely a test of preparation for higher education, you cannot pass or fail them.
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i need help with the question please
Answers
Answer:
20000
Step-by-step explanation:
because the x =1 and X=2 so is 1x2=2
Harold ran in a 1 mile race. he estimated his average running speed to be 10 miles per hour, but it was actually 9.9 miles per hour.
what is the percent error for his estimate?
if necessary round your answer to the nearest tenth of a percent.
Answers
1.0% is the percent error for his estimate .
What is percent error?
When compared to the actual value, the percent error is the difference between the estimated and actual values. The relative error is multiplied by 100 to calculate the % error, in other words. The difference between an estimated number and a precise value is measured in percent error.
the percent error = {exact error - approximate error} * 100%/exact error
= (9.9 - 10) * 100/9.9
= 0.1/9.9 * 100%
≈ 1.0%
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the space shuttle discovery traveled 148.2 million miles during its mission. The space shuttle Atlantis traveled 125.9 million miles. How many more miles did the space shuttle Discovery travel than the space shuttle Atlantis?
Answers
The Space Shuttle Discovery traveled 22.3 million miles more distance than the Space Shuttle Atlantis.
What is distance ?
To find how many more miles the Space Shuttle Discovery traveled than the Space Shuttle Atlantis, we can subtract the distance traveled by Atlantis from the distance traveled by Discovery:
148.2 million miles - 125.9 million miles = 22.3 million miles
Therefore, the Space Shuttle Discovery traveled 22.3 million miles more than the Space Shuttle Atlantis.
What is Space Shuttle ?
The Space Shuttle was a reusable spacecraft designed and operated by NASA (the National Aeronautics and Space Administration) to carry astronauts and cargo into space. It was in service from 1981 until 2011, when the final mission was completed.
The Space Shuttle consisted of several components, including the orbiter, which was the main spacecraft, and the two solid rocket boosters and external fuel tank that provided the initial propulsion during liftoff. The orbiter was designed to carry up to seven crew members and could be used to deploy satellites, conduct scientific experiments, and perform other tasks in space.
The Space Shuttle was unique in that it could land like an airplane, allowing it to be reused multiple times. After completing a mission, the orbiter would re-enter Earth's atmosphere and glide to a landing on a runway.
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Complete question is: The space shuttle discovery traveled 148.2 million miles during its mission. The space shuttle Atlantis traveled 125.9 million miles. the Space Shuttle Discovery traveled 22.3 million miles more than the Space Shuttle Atlantis.
We will prove the following:
Answers
Because BF and CE bisect each other at point D, we know that angles BDC and EDC are congruent, and angles BDF and CDE are also congruent, as they are vertical angles.
Describe Angles?In mathematics, an angle is a geometric figure formed by two rays or line segments that share a common endpoint called the vertex. The rays or line segments are called the sides of the angle.
Angles are typically measured in degrees or radians, and they are denoted using the symbol ∠. The measure of an angle is the amount of rotation needed to bring one side of the angle into coincidence with the other. A full rotation is 360 degrees or 2π radians.
Angles can be classified into different types based on their measures and their relationships with other angles. Some common types of angles include:
Acute Angle: An angle whose measure is less than 90 degrees.
Right Angle: An angle whose measure is exactly 90 degrees.
Obtuse Angle: An angle whose measure is greater than 90 degrees but less than 180 degrees.
Because BF and CE bisect each other at point D, we know that angles BDC and EDC are congruent, and angles BDF and CDE are also congruent, as they are vertical angles.
By definition of angle bisectors, we know that CD=DE and BD=DF.
Thus, the triangle congruence principle SAS (side-angle-side) allows us to deduce that Triangle BCD is congruent to Triangle ECD, since they share side CD, angle BDC and angle EDC.
Therefore, BC=CE (corresponding sides of congruent triangles are equal) and CE=EF (because CE bisects segment BF).
Thus, BC=EF, and we have proven that BC is equal to EF
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A Food Marketing Institute found that 33% of households spend more than $125 a week on groceries. Assume the population proportion is 0.33 and a simple random sample of 349 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.32? There is a probability that the sample proportion of households spending more than $125 a week is less than 0.32. Round the answer to 4 decimal places.
Answers
The probability that the sample proportion of households spending more than $125 a week is less than 0.32 is 0.3850.
What is probability?
The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.
Here, we have
Given: A Food Marketing Institute found that 33% of households spend more than $125 a week on groceries. Assume the population proportion is 0.33 and a simple random sample of 349 households is selected from the population.
We have to find the probability that the sample proportion of households spending more than $125 a week is less than 0.32.
P(p < 0.32)
= P(Z < 0.32-0.33 0.33 * 0.67/189
= P(z < -0.29)
= 0.3850
Hence, the probability that the sample proportion of households spending more than $125 a week is less than 0.32 is 0.3850.
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limx→0 ((sin(1-cos4x))/(1-cos4x))
Answers
Finding the limit of the function limx→0 ((sin( 1- cos4x))/(1 - cos4x)) = 1
What is the limit of a function?The limit of a function is the value which the function tends to as the dependent variable tends to a particular value.
Since we require the limit limx→0 ((sin(1-cos4x))/(1-cos4x))
So, substituting x = 0 into the equation, we have
limx→0 ((sin(1-cos4x))/(1-cos4x)) = ((sin(1-cos4(0)))/(1-cos4(0)))
= ((sin(1 - cos(0)))/(1 - cos(0)))
= ((sin(1 - 1))/(1 - 1))
= sin0/0
= 0/0
Since we have an indeterminate form, we use L'hopital's rule which states that if limx→0 f(x) = limx→0 g(x) = 0,
Then limx→0 f(x)/g(x) = limx→0 f'(x)/g'(x)
So, limx→0 ((sin( 1- cos4x))/(1 - cos4x)) = limx→0 d((sin(1-cos4x))/dx/d(1-cos4x))/dx
Let 1 - cos4x = u and 4x = v
1 - cosv = u
= limx→0 d((sin(1 - cos4x))/dx/d(1 - cos4x))/dx
= limx→0 d((sinu)/dx/du/dx
= limx→0 d((sinu)/du × du/dv × dv/dx ×/du/dv × dv/dx
Now du/dv = sinv and dv/dx = 4 and d
So,
limx→0 d((sinu)/du × du/dv × dv/dx ×/du/dv × dv/dx = limx→0 d((sinu)/du × sinv × 4 ×/sinv × 4
= limx→0 cosu × sinv × 4 ×/sinv × 4
= limx→0 cos(1 - cos4x) × sin4x × 4 ×/sin4x × 4
= cos(1 - cos4(0)) × sin4(0) × 4 /sin(4(0) × 4
= cos(1 - cos0) × sin(0) × 4 /sin(0) × 4
= cos(1 - 1) × 0 × 4 /0 × 4
= cos(0) × 0 × 4 /0 × 4
= 1 × 0 × 4 /0 × 4
= 0/0
Since limx→0 f'(x)/g(x) = 0/0, we differentiate again.
So
limx→0 cos(1 - cos4x) × sin4x × 4 /sin4x × 4 = limx→0 dcos(1 - cos4x) × sin4x × 4/dx/dsin4x × 4/dx
Let 1 - cos4x = u and 4x = v
1 - cosv = u
limx→0 [d((cosu)/du × du/dv × dv/dx × sinv + cosu dsinv/dv × dv/dx]/du/dv × dv/dx = limx→0 d((sinu)/du × sinv × 4 ×/sinv × 4
= limx→0 -sinu × sinv × sinv × 4 + 16cosvcosu /cosv × 4 × 4
= limx→0 [-4sin(1 - cos4x) × sin²4x + 16cos4xcos(1 - cos4x)]/16cos4x
= [-4sin(1 - cos4(0)) × sin²4(0) + 16cos4(0)cos(1 - cos4(0))]/16cos4(0)
= [-4sin(1 - cos(0)) × sin²(0) + 16cos(0)cos(1 - cos(0))]/16cos(0)
= [-4sin(1 - 1)) × (0) + 16(1)cos(1 - 1)]/16cos(0)
= [-4sin(0)) × (0) + 16(1)cos(0)]/4cos(0)
= [-4(0) × (0) + 16(1)(1)]/16(1)
= (0 + 16)/16
= 16/16
= 1
So, limx→0 ((sin( 1- cos4x))/(1 - cos4x)) = 1
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Based on results from recent track meets, Nestor has a 79% chance of getting a medal in the 100 meter dash. Estimate the probability that Nestor will get a medal in at least 6 of the next 10 races. Use the random number table, and make at least 10 trials for your simulation. Express your answer as a percent.
Answer Choices:
-1%
-200%
-100%
-1.05%
Answers
The predicted likelihood that Nestor will win at least six of the upcoming races is therefore 90.1%, which is closest to the correct response of -1%.
what is probability ?The likelihood or chance that a specific occurrence or outcome will occur is quantified by probability. It is represented by a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certainty. For instance, there are two equally likely outcomes (heads or tails), but only one of them is heads, hence the probability of flipping a fair coin and obtaining heads is 0.5 or 50%. By dividing the number of favorable outcomes by the total number of possible outcomes, one can calculate probability.
given
We can see that Nestor won a medal in 6 out of the 10 trials by counting the number of victories.
We can use the binomial distribution with parameters n=10 (number of trials) and p=0.79 to calculate the likelihood that this will occur (probability of success).
The following calculation can be used to determine the likelihood of at least 6 successes in 10 trials:
P(X>=6) = 1 - P(X<=5)
Using a calculator for the binomial distribution, we obtain:
P(X>=6) = 90.1%
The predicted likelihood that Nestor will win at least six of the upcoming races is therefore 90.1%, which is closest to the correct response of -1%.
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5 Ms. Zling deposited $850 in a savings
account that paid 4.25% simple
interest. What was the balance in her
account at the end of 2 years?
Answers
Answer:
$ 922.25
Step-by-step explanation:
General equation for simple interest ... B(t)=B(0)[1+rt]B
(0)= inital amount r= simple annual interest rate t= number of yearsFor this problem,
B (2)=$850[0.0425×2}=850×1.085 =$922.25
Giving a test to a group of students, the grades are summarized below.
If one student is chosen at random, find the probability that the student was NOT a female that got a “A”.
Having trouble with finding the answer to this question.
Answers
The probability that the student was NOT a female that got a “A” is given as follows:
p = 10/19.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The outcomes for this problem are given as follows:
Total outcomes: 38 students that got an A.Desired outcomes: 20 students who got an A and are not females.Hence the probability that the student was NOT a female that got a “A” is obtained as follows:
p = 20/38
p = 10/19.
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-6(4v - x - 5 ) pls fast
Answers
Step-by-step explanation:
To simplify the expression -6(4v - x - 5), we distribute the -6 to each term inside the parentheses:
-6(4v - x - 5) = -6(4v) - (-6x) - (-6)(5)
Simplifying each term:
-6(4v) = -24v
-(-6x) = 6x
-(-6)(5) = 30
Therefore,
-6(4v - x - 5) = -24v + 6x - 30
So the simplified expression is -24v + 6x - 30.
Type the correct answer in the box. Use numerals instead of words.
An arc of circle
has length
centimeters and the corresponding central angle has a radian measure of
. What is the radius of the circle?
The radius of the circle is
centimeters.
Answers
The radius of the circle is 36 centimeters.
What is arc of circle?A circle's circumference may be divided up into its arcs. Two endpoints and the curve connecting them serve as its definition. The size of the central angle that subtends an arc determines its length. The formula L = r, where L is the length of the arc, r is the radius of the circle, and is the measurement of the central angle in radians, yields the length of an arc in radians. Arcs of circles are utilised in geometry and trigonometry as well as in many other contexts, including creating circular objects and calculating angles.
The length of an arc of a circle is given by the formula:
L = rθ
Given, length of the arc is 32π centimeters and central angle = 8/9π.
Substituting the value we have:
32π = r(8/9π)
r = (32π)/(8/9π)
r = 36
Hence, the radius of the circle is 36 centimeters.
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The complete question is:
PLEASE HELP ME ON THIS QUESTION
Answers
Answer:
14.3cm
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]a^{2}[/tex] + [tex]7^{2}[/tex] = [tex]10^{2}[/tex]
[tex]a^{2}[/tex] + 49 = 100 Subtract 49 from both sides
[tex]a^{2}[/tex] + 49 - 49 = 100 - 49
[tex]a^{2}[/tex] = 51
[tex]\sqrt{a^{2} }[/tex] = [tex]\sqrt{51}[/tex]
a = 7.14142842854 This is a rounded number. This is an irrational number. That means that it never repeats or terminates. It is like [tex]\pi[/tex].
We just found the left side of the base of the triangle. We need to double this to find FG.
7.14142842854 x 2 = 14.2828568571
Round this to 1 decimal place 14.3
Helping in the name of Jesus.
Answer: 14.28 cm
Step-by-step explanation:
So, 10 squared = 7 squared + X squared.
This can be simplified to: 100 = 49 + X squared.
Then, you subtract 49, and are left with 51 = X squared
Then, take the square root if 51, you get approx. 7.14 cm.
since this is an equilateral triangle, the answer will be the same for the second half of the base.
So, 7.14 x 2, 14.28 cm
Please Help!!! I will mark brainliest.
Answers
Answer:
Answer : 264.12cm²
Step-by-step explanation:
Area of a triangle : bh/2
47-18.6 = 28.4
28.4 x 18.6 = 528.24
528.24/2 = 264.12
Pls Mark Brainliest
Answer:
874.2 cm²
Step-by-step explanation:
The given shape is a parallelogram.
Here,
Base ( b ) = 47 cm
Height ( h ) = 18.6 cm
Formula : -
Area of parallelogram = bh
Area of parallelogram
= bh
= 47 x 18.6
= 874.2 cm²
Hence,
Area of the given parallelogram is 874.2 cm².
During her busy season, about how many eggs about how many eggs does
queen bee lay each hour? each minute?
Answers
The marketing team suggests that the propose container will sell for a higher price of $3.97 bowl cost and addictional of $.50 each to make how much profit will the new design earns per juice container
Answers
Answer:
$3.47
Step-by-step explanation:
They are selling the container for $3.97 and it costs them $0.50 to make each. So that means they'll make a profit of $3.47.
Please try to explain it
Answers
The table of value for the given function is written and graphed below
What is the table of function ?The function s(x) = -0.7x^2 can be evaluated for different values of x to obtain corresponding values of s(x). We can create a table of values for s(x) by choosing a range of x-values and then plugging them into the equation and evaluating.
The table of values for the function s(x) = -0.72x^2 is
x s(x)
-5 -17.5
-4 -11.2
-3 -6.3
-2 -2.8
-1 -0.7
0 0
1 -0.7
2 -2.8
3 -6.3
4 -11.2
5 -17.5
We can use this value to plot a graph using a graphing calculator
Kindly find the attached graph below
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1. What is one of the solutions to the system of equations graphed here?
O (-5,-4)
O (2,4)
O (0,4)
O (4,0)
Answers
One of the solutions for the given graph is (-5,-4).
What is a graph and how to plot the values?
A plot is a visual representation of a data collection, typically in the form of a graph demonstrating the relationship between two or more variables. An individual value plot makes it simple to identify outliers and see distribution variation since it displays a dot for the actual value of each observation within a group.To graph a point, first determine where it lies on the x-axis, then determine where it lies on the y-axis, and lastly plot the intersection of these two axes. Due to its location at the intersection of the x- and y-axes, the origin of the graph, also known as the point (0, 0), is the center of the diagram.In the given graph, a straight line intersects the parabola at two points i.e., (-5, -4) and (2, 0).
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Let E be the event where the sum of two rolled dice is less than or equal to 3
. List the outcomes in Ec
Answers
There are 36 outcomes in Ec.
What is outcome?
An outcome is a potential outcome of an experiment or trial in probability theory.
The event E represents the sum of two rolled dice being less than or equal to 3. There are only two possible ways to get a sum of 3 or less when rolling two dice: getting a sum of 2 or getting a sum of 3.
If two dice are rolled then sample space is given by,
S = {(1,1), (1,2), (1,3), (1, 4), (1,5), (1,6),
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3, 5), (3,6)
(4,1), (4,2), (4,3), (4, 4) (4,5) (4,6),
(5,1), (5,2), (5,3), (5, 4), (5,5), (5,6),
(6,1), (6,2), (6,3), (6,4), (6,3), (6,6)
n(s) = 36
Event that,
E: sum of two rolled dice is less than 3
[tex]\rm E_c[/tex]= {(1,1)}
n([tex]\rm E_c[/tex]) = 1
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What is the area of the polygon?
An 8-sided figure has a triangle at one end and a rectangle at the other end. Another rectangle is in between. Triangle has 2 feet height and length. The rectangle has 8 feet height and 4 feet length. The rectangle in between has 2 feet height and 6 feet length.
Answers
Answer:
Step-by-step explanation:
the answer is 38ft^2
The triangle shown below has an area of 18 units 2 squared.
Answers
Answer:
6 units
Step-by-step explanation:
The area of a triangle is [tex]A = (b \times h)/2[/tex], where b is base and h is height.
In this case, [tex]b = 6[/tex] and [tex]h = x[/tex]. Plug these into the equation:
[tex]18 = (6x)/2[/tex]
[tex]36 = 6x[/tex]
[tex]x = 6[/tex]
Thus, the answer is 6 units.
Hope this helps!
(math) please help me I really appreciate it
Answers
Answer:
last 2 are b
and c
Step-by-step explanation:
The runtime of a certain brand of batteries is normally distributed with a population means of μ=30 hours and σ=6 hours. what is the probability that 16 randomly selected batteries will have a runtime of less than 27 hours?
Answers
The probability that 16 randomly selected batteries will have a runtime of less than 27 hours is 0.0228.
Describe Probability?Probability is a branch of mathematics that deals with the study of random events or outcomes. It involves the analysis of the likelihood or chance of a particular event occurring, given certain conditions or assumptions. Probability is expressed as a number between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.
Probability theory is used to analyze and understand random phenomena such as games of chance, weather patterns, financial markets, and many other areas of study. The main tools of probability theory include probability distributions, random variables, and statistical inference.
Probability distributions are mathematical functions that describe the probabilities of different outcomes for a particular event or experiment. Random variables are variables that take on different values based on the outcome of a random event, and they are used to calculate probabilities for a range of different scenarios.
We can use the central limit theorem to approximate the distribution of the sample means, where n=16. The sample mean, X', will also be normally distributed with a mean of μ = 30 hours and a standard deviation of σ/√n = 6/√16 = 1.5 hours.
Now, we need to find the probability that the sample mean is less than 27 hours:
P(X' < 27) = P(z < (27-30)/1.5) [converting to standard normal distribution using z-score]
P(X' < 27) = P(z < -2)
Looking up the z-table, we can find that the probability of a standard normal random variable being less than -2 is approximately 0.0228.
Therefore, the probability that 16 randomly selected batteries will have a runtime of less than 27 hours is 0.0228.
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the value of a home appreciates about 2.1% annually. how much will a $150,000 home be worth in 15 years?
Answers
A very simple explanation:
Solution;
Apperciation: 2.1%
Principal: 150,000
Time: 15 years
Now,
=((0.021×150,000)×15)+150,000
=(3,150×15)+150,000
=47250+150,000
=197,250$
Hence, the house would worth 197,250$ after 15 years
Mr. Blain rented a storage unit that is 10' long x 10' wide x 8' high. How many moving
boxes will fit on the floor if we keep a 36" aisle down the middle and use boxes that are
all 18" long x 18" wide x 16" high? All boxes will be stacked the same way, with the
boxes all facing up.
I need help plssssss
Answers
Apprοximately 31 mοving bοxes οn the flοοr οf the stοrage unit, given the dimensiοns οf the bοxes and the aisle.
What are dimensiοns?In mathematics and geοmetry, dimensiοns refer tο the number οf cοοrdinates needed tο specify the lοcatiοn οf a pοint οr οbject in space.
Tο calculate the number οf mοving bοxes that can fit οn the flοοr οf the stοrage unit, we need tο first calculate the usable flοοr space by subtracting the width οf the aisle frοm the tοtal width οf the stοrage unit.
The usable floor space can be calculated as follows:
Usable floor space = 10 ft - 3 ft (aisle) = 7 ft
Next, we need to calculate how many boxes can fit in a row along the length and width of the usable floor space.
Along the length of the floor space, we can fit:
Number of boxes along length = 10 ft / 18 in = 20/3 boxes
Similarly, along the width of the floor space, we can fit:
Number of boxes along width = 7 ft / 18 in = 14/3 boxes
Since we can only stack the boxes one layer high, the total number of boxes that can fit on the floor of the storage unit can be calculated by multiplying the number of boxes along the length by the number of boxes along the width:
Total number of boxes = (20/3) x (14/3) = 280/9 ≈ 31
Therefore, we can fit approximately 31 moving boxes on the floor of the storage unit, given the dimensions of the boxes and the aisle.
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What is the image of the point (2,−3) under a clockwise rotation of 90° (R_90) about the origin? -90°.
Answers
Answer: (-3,-2)
Step-by-step explanation:
The image of the point (2,−3) under a clockwise rotation of 90° (R_90) about the origin can be found by swapping the x and y-coordinates and changing the sign of the new x-coordinate.
So, the new x-coordinate will be -3 and the new y-coordinate will be -2.
Therefore, the image of the point (2,−3) under a clockwise rotation of 90° (R_90) about the origin is (-3,-2).
Chloe wants to pay off her credit card debt of $7,316.48 that has an APR of 16.73%. She is paying $300 per month.
a) Using the finance charge defined in class (charge = r*(balance-payments+purchases)), what would be the credit card balance (to the nearest dollar) after one year?
b) If she increased her monthly payment by $50 to $350 per month, what would be the credit card balance (to the nearest dollar) after one year?
Answers
a) Using the formula for finance charge, we can find the balance after one year:
charge = r*(balance-payments+purchases)
Here, r = 16.73% = 0.1673 (as a decimal), payments = $300 per month = $3,600 per year, and purchases = 0 (since Chloe is not making any new purchases).
Let's assume that x is the balance after one year. Then, we can write:
0.1673*(7316.48-3600) = x - 3600
Simplifying and solving for x, we get:
x = $6,830.58
So, the credit card balance (to the nearest dollar) after one year would be $6,831.
b) If Chloe increases her monthly payment to $350 per month, then her payments for the year would be $4,200. Using the same formula as above, we can find the balance after one year:
0.1673*(7316.48-4200) = x - 4200
Simplifying and solving for x, we get:
x = $5,774.99
So, the credit card balance (to the nearest dollar) after one year with a $350 monthly payment would be $5,775.
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How many solutions does the system of equations below have?
y =2 x +4
y + 6 =2x
A. Exactly 1 solution
B. More than 1 solution
C. No solution
D. at least 1 solution
Answers
Answer: there
Step-by-step explanation:
exactly 1 solution
Polygon KLMN is the image of polygon PQRS after a 180 degree rotation
Answers
The angle that is congruent to ∠S after the given rotation transformation is: ∠M
How to Interpret Rotation Transformation?A rotation is defined as a type of transformation whereby the object is rotated about a fixed point. The direction of the rotation can either be clockwise or anticlockwise.
Now, rotating a specific point that has the coordinates as (x, y) by 180° about the origin in either a clockwise or counterclockwise direction, will produce a new point that has the coordinates (−x,−y)
Thus, if Polygon KLMN is the image of polygon PQRS after a 180 degree rotation, then we can say that the new image formed will have ∠M congruent to ∠S
Read more about Rotation Transformation at: https://brainly.com/question/26249005
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