Which rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C'?
(x, y) → (x + 7, y + 6)
(x, y) → (x + 7, y – 6)
(x, y) → (x – 6, y + 7)
(x, y) → (x + 6, y + 7)
Answers
The rule for translation is (x, y) → (x + 7, y – 6).
What is pre image?
In a transformation operation, a figure's pre-image is its initial appearance. On the coordinate plane, a transformation involves the movement of a figure. A figure is transformed by a translation when it is moved across the coordinate plane without altering its size, shape, or orientation.
The coordinates of the vertices of △ABC are A(-3,4), B(-4,1), C(-2,1).
The coordinates of the vertices of △A'B'C' are A'(4,-2), B'(3,-5), C'(5,-5).
The x-coordinate of A is -3.
The x-coordinate of B is -4.
The x-coordinate of C is -2.
The y-coordinate of A is 4.
The y-coordinate of B is 1.
The y-coordinate of C is 1.
The x-coordinate of A' is 4.
The x-coordinate of B' is 3.
The x-coordinate of C' is 5.
The y-coordinate of A' is -2.
The y-coordinate of B' is -5.
The y-coordinate of C' is -5.
The difference of x-coordinate of △ABC and △A'B'C' is
4 - (-3) = 3 - (-4) = 5 - (-2) = 7
The difference of y-coordinate of △ABC and △A'B'C' is
(-2) - 4= (-5) - 1 = (-5)- 1 = -6
The rule is (x,y) → (x + 7, y - 6)
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Related Questions
1. How can you tell that a point on the graph is a maximum or minimum?
2. How would you explain average rate of change to a classmate who was absent today? What does it tell us and how do we find it?
Answers
Answer:
1) To see whether it is a maximum or a minimum, in this case we can simply look at the graph. f(x) is a parabola, and we can see that the turning point is a minimum. By finding the value of x where the derivative is 0, then, we have discovered that the vertex of the parabola is at (3, −4).
2
Consider the quadratic function f(x)=8x2−7x+6. What is the constant of the function?a. −7b. 6c. 7d. 8
Answers
Answer:
Step-by-step explanation:
Find the period and the amplitude of the periodic function. I'm awful with graphs :(
Answers
A period is the difference in x over which a sine function returns to its equivalent state and the amplitude is A/5.
Amplitude:
The amplitude of a periodic variable is a measure of its change over a period of time, such as a temporal or spatial period. The amplitude of an aperiodic signal is its magnitude compared to a reference value. There are various definitions (see below) of amplitude, which is any function of the magnitude of the difference between the extreme values of a variable. In the previous text, the phase of a periodic function is called the amplitude.
X = A sin (ω[ t - K]) + b
A is the amplitude (or peak amplitude),
x is the oscillating variable,
ω is angular frequency,
t is time,
K and b are arbitrary constants representing time and displacement respectively.
According to the Question:
An equation does not have an amplitude. This "equation" represents the formula of a vibration, and was better written as:
X= A/5* sin(1000.t + 120)
These oscillations have a certain amplitude. X values can vary from minimum to maximum. Normally, the stop position of the oscillation is X=0. In this case, we can see that the maximum occurs when the sine is +1 and the minimum occurs when the sine is -1.
For theses cases X= A/5 respectively -A/5.
Therefore,
The amplitude is A/5.
For formulas of this type, the term in front of the sinus (or cosine) is equal to the amplitude.
Complete question:
Can I find the amplitude of this equation? A/5 *
Find UV. This is Geometry. Help
Answers
So,
(2x12) - 22 = UV
24-22 = UV
UV = 2
Please help!! Find the solution(s) to the system of equations represented in the graph.
Answers
Answer:
(4,0) and ( 0,-4)
Step-by-step explanation:
The solutions are the the graphs intersect
There are two points
(4,0) and ( 0,-4)
Which inequality is being shown on the number line ?
Answers
Answer:
Last answer
Step-by-step explanation:
Refer to Muscle mass Problem 1.27. Second-order regression model (8.2) with independent normal error terms is expected to be appropriate. a. Fit regression model (8.2). Plot the fitted regression function and the data. Does the quadratic regression function appear to be a good fit here? Find R2. b. Test whether or not there is a regression relation; use α = .05. State the alternatives, decision rule, and conclusion. c. Estimate the mean muscle mass for women aged 48 years; use a 95 percent confidence interval. Interpret your interval. d. Predict the muscle mass for a woman whose age is 48 years; use a 95 percent prediction interval. Interpret your interval. e. Test whether the quadratic term can be dropped from the regression model; use α = .05. State the alternatives, decision rule, and conclusion. f. Express the fitted regression function obtained in part (a) in terms of the original variable X. g. Calculate the coefficient of simple correlation between X and X2 and between x and x 2. Is the use of a centered variable helpful here?
Answers
a. The quadratic regression function appears to be a good fit, you can look for patterns in the residuals and check the value of R-squared (R2).
A high R2 value indicates a good fit between the model and the data.
b. The use of a centered variable can be helpful in reducing multicollinearity between the independent variables in the regression model.
As I am an AI language model and don't have access to the data and equations mentioned in "Muscle mass Problem 1.27", I will provide a general guide on how to approach such a problem.
To fit regression model (8.2), you need to estimate the model coefficients using a method such as least squares.
Once you have estimated the coefficients, you can plot the fitted regression function and the data to visually inspect the fit.
To test whether or not there is a regression relation, you can perform a hypothesis test using a significance level (α) of .05.
The null hypothesis (H0) is that there is no regression relation, while the alternative hypothesis (Ha) is that there is a regression relation.
You can use a t-test to test the significance of the regression coefficients.
If the p-value is less than α, you reject H0 and conclude that there is a regression relation.
To estimate the mean muscle mass for women aged 48 years, you can use the fitted regression function and substitute x = 48 into the equation. To find the 95 percent confidence interval, you can use the standard error of the estimate and the t-distribution.
The confidence interval represents the range of values in which the true mean muscle mass for women aged 48 years is likely to lie.
To predict the muscle mass for a woman whose age is 48 years, you can use the fitted regression function and substitute x = 48 into the equation.
To find the 95 percent prediction interval, you can use the standard error of the estimate and the t-distribution.
The prediction interval represents the range of values in which the true muscle mass for a woman aged 48 years is likely to lie.
To test whether the quadratic term can be dropped from the regression model, you can perform a hypothesis test using a significance level (α) of .05.
The null hypothesis (H0) is that the quadratic term has no effect on the dependent variable, while the alternative hypothesis (Ha) is that the quadratic term has a significant effect.
You can use an F-test to test the significance of the quadratic term.
If the p-value is greater than α, you fail to reject H0 and conclude that the quadratic term can be dropped from the model.
To express the fitted regression function obtained in part (a) in terms of the original variable X, you need to substitute x = (\(X - \bar X\)) into the equation, where\(\bar X\) is the mean value of X.
This will give you the regression function in terms of X.
To calculate the coefficient of simple correlation between X and X2 and between x and x2, you can use the formula for Pearson's correlation coefficient.
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Continued questions:
g. For the data set: {12, 6, 9, 5, 11} find the interquartile range?
h. For the data set: (10, 8, 14, 17, 7} find the third quartile.
i. For the data set: (14, 11, 9, 3, 12} find the third quartile.
For the data set: {3, 8, 9, 11, 5} find the interquartile range.
Answers
a) The mean for the given data is 11.44
b) The median for the given data is 11
c) The mode for the given data is 11
d) The maximum score received by a student is 18
e) The minimum score received by a student is 3
f) The range for the given data is 15
g) The interquartile range for the given data set {12, 6, 9, 5, 11} is 6
h) The third quartile for the given data set {0, 8, 14, 17, 7} is 15.5
i) The third quartile for the given data set {14, 11, 9, 3, 12} is 13
j) The interquartile range for the given data set {3, 8, 9, 11, 5} is 6
What is meant by interquartile range?The interquartile range is a measure of statistical dispersion in descriptive statistics, which is the spread of the data. The IQR is also known as the middle 50% spread, the fourth spread, or the H-spread.
a) Mean=(12+8+11+10+6+7+10+13+14+15+9+18+17+15+3+11+11)/18
=11.44
Therefore, mean=11.44
b) Median= n is even
Then,
((n/2 )th +((n/2)+1)th)/2
=(11+11)/2
=11
Therefore, median=11
c) Mode= The number that is repeated highest number of times
Mode=11
Therefore, mode=11
d) The maximum score received by a student is 18
e) The minimum score received by a student is 3
f) Range=maximum-minimum
=18-3
=15
Therefore, Range=15
g) Median=9
Q₁=(5+6)/2=5.5
Q₃=(11+12)/2=11.5
Interquartile range=|Q₃-Q₁|
=|11.5-5.5|
=6
The interquartile range for the given data set {12, 6, 9, 5, 11} is 6
h) Median=10
Q₃=(14+17)/2=15.5
The third quartile for the given data set {0, 8, 14, 17, 7} is 15.5
i) Median=11
Q₃=(12+14)/2=13
The third quartile for the given data set {14, 11, 9, 3, 12} is 13
j) Median=8
Q₁=(3+5)/2=4
Q₃=(9+11)/2
Interquartile range=|Q₃-Q₁|
=|10-4|
=6
The interquartile range for the given data set {3, 8, 9, 11, 5} is 6
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Solve for x in the equation 2x + 3 > 11
Answers
Hi !
\(2x + 3 > 11\\\iff 2x > 8\\\iff x > \frac{8}{2}\\ \iff x > 4\)
Have a nice day ;)
Answer:
x > 4
Isolate the variable by dividing each side by the factors that don't contain the variable
sketch a graph of x = − 2 cos ( t ) , y = − 1 sin ( t ) , 0 ≤ t < 2 π .
Answers
The graph of the parametric equations x = -2cos(t) and y = -sin(t) within the range 0 ≤ t < 2π is an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis.
To sketch the graph of the parametric equations x = -2cos(t) and y = -sin(t), where 0 ≤ t < 2π, we need to plot the coordinates (x, y) for each value of t within the given range.
1. Start by choosing values of t within the given range, such as t = 0, π/4, π/2, π, 3π/4, and 2π.
2. Substitute each value of t into the equations to find the corresponding values of x and y. For example, when t = 0, x = -2cos(0) = -2 and y = -sin(0) = 0.
3. Plot the obtained coordinates (x, y) on a graph, using a coordinate system with the x-axis and y-axis. Repeat this step for each value of t.
4. Connect the plotted points with a smooth curve to obtain the graph of the parametric equations.
The graph will be an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis. It will have a vertical compression and a horizontal stretch due to the coefficients -2 and -1 in the equations.
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Kyasis travels at 55mph. How many miles will she travel in 4 hours?
Answers
Answer: 220 miles
Step-by-step explanation: If she travels 55 miles per hour, for four hours, then you need to do 55 times 4. The answer is 220.
9:45 on Tuesday Questions
Please Help Me Out! I am back with a handful of geometry questions. I would like you to answer this question and explain or show all of your work.
I will mark Brainlest for an accurate answer!
If the image is to blurry try clicking on it. If it is still to blurry, let me know in the comments. If you have any other questions about the problem, let me know.
Please only answer of you have a "real" answer and not a comment. Save your comments for the comment box!
If you would like to help me out some more, go check out my profile and answer the questions that have 9:45 on Tuesday Questions on them.
God Bless.
Answers
Answer: -2x + 5y = 8
Step-by-step explanation:
Since the lines must be parallel, the slopes must be the same, so keep the coefficients of x and y
Substitute the values of x and y from the given coordinate (6,4) to find the new constant, b, the y-intercept.
-2x + 5y = b
-2(6) + 5(4) = b
-12 + 20 = b
8 = b
Rewrite the original equation substituting the new b for the original -15
-2x + 5y = 8
Terrance earns an average bi-weekly net pay of $1,115.00. Which compound inequality correctly shows the amount of money he can spend if his monthly budget for savings is between 5% and 10%? a $120.79 ≥ s ≥ $241.58 b $120.79 ≤ s ≤ $241.58 c $55.75 > s > $111.50 d $55.75 < s < $111.50
Answers
Thus, the Inequality effectively depicts how much somebody can spend provided his monthly savings goal is between 5% and 10%.: $55.75 < s < $111.50.
Explain about the percentage:In mathematics, a percentage is a number or ratio that may be expressed as a fraction of 100.
When a number is expressed in decimal form, you can calculate its percentage by multiplying it by 100. For instance, multiplying 0.5 by 100 gives you the percentage 50%.
Given data:
Terrance's average bi-weekly net pay = $1,115.00.
monthly budget savings - 5% to 10%.
Let s be the savings:
Then,
5% of 1,115.00. < s < 10% of 1,115.00. (both not included)
5 *1,115.00 / 100 < s < 10*1,115.00/100
55.75 < s < 111.50
Thus, the Inequality effectively depicts how much somebody can spend provided his monthly savings goal is between 5% and 10%.: $55.75 < s < $111.50.
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The populations of two towns, town A and town B, are being compared. The population of town A is 4×10↑4 and the population of B is 2×10↑5. How many times greater is the population of town B than town A?
Answers
Answer:
The population of town B is 5 times greater than the population of town A
Step-by-step explanation:
Here in this question, we want to know the number of times in which the population of town B is greater than that of town A
To get the number of times, we simply divide the population of town B by the population of town A
From the question, the population of town B is 2 * 10^5 while the population of town A is 4 * 10^4
So to know the number of times,
We have (2 * 10^5) /(4 * 10^4) = 5
The population of town B is 5 times greater than the population of town A
At a small high school, 5 students took Mrs. Jones's AP Statistics class last year. The student's names are Ashley, Brayden, Carmen, Dale, and Eve. Ashley, Brayden, and Carmen each got a 5 on the AP Statistics exam. Mrs. Jones would like to use the results of these 5 students to demonstrate how to create a sampling distribution of the sample proportion for simple random samples of size n = 2 for her current students. a) What is the value of p, the population proportion of students in Mrs. Jones's AP Statistics class who got a 5 on the AP Statistics exam? Explain. b) Using the table provided, list all 10 possible simple random samples of size n = 2, and for each sample calculate the sample proportion of students who got a 5 on the AP Statistics exam. The first one is completed for you. SRS n = 2 А, В P 1 c) Using the number line provided, create a dotplot to display the sampling distribution of p. d) is the sample proportion an unbiased estimator of the population proportion? Explain.
Answers
Answer:
Step-by-step explanation:
a) The value of p, the population proportion of students in Mrs. Jones's AP Statistics class who got a 5 on the AP Statistics exam, is 3/5. This is because out of the 5 students, 3 (Ashley, Brayden, and Carmen) got a 5 on the AP Statistics exam.
b) The 10 possible simple random samples of size n = 2 are:
Ashley, Brayden; P = 2/2 = 1
Ashley, Carmen; P = 2/2 = 1
Ashley, Dale; P = 1/2 = 0.5
Ashley, Eve; P = 1/2 = 0.5
Brayden, Carmen; P = 2/2 = 1
Brayden, Dale; P = 1/2 = 0.5
Brayden, Eve; P = 1/2 = 0.5
Carmen, Dale; P = 1/2 = 0.5
Carmen, Eve; P = 1/2 = 0.5
Dale, Eve; P = 0/2 = 0
c) To create the dotplot for the sampling distribution of p:
Label the number line with 0, 0.5, 1
For each sample proportion calculated, place a dot above the corresponding value on the number line
Repeat this process for all sample proportions
d) Yes, the sample proportion is an unbiased estimator of the population proportion. This means that on average, the sample proportion will equal the population proportion. In other words, the mean of the sampling distribution of the sample proportion will equal the population proportion.
1.5 pounds for $3.00
Unit rate
Answers
Answer:
2 dolars for 1 pound
or
1 dolar for 0.5 pounds
Step-by-step explanation:
hope this helps:P
Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5
Answers
1.9
Step-by-step explanation:
The above is direct and inverse variation.A = kB/C -----------(1)
A=12
B = 3
C= 2
substitute A, B and C into equation (1).
12 = K × 3/2
12 = 3k/2
12×2 = 3k
3K = 24
dividing bothsides by 3
3K/3 = 24/3
K = 8
substitute K = 8 into equation (1)
A = 8B /C --------------(2)
Equation (2) is the equation connecting
A,B and C.
Finding B when A = 10 and C = 1.5
10 = 8B / 1.5
10× 1.5 = 8B
15 = 8B
Dividing bothsides by 8 :
B = 15/8
B = 1.875
B = 1. 9 ( approximately)
Can anyone give me some horro and romance anime to watch?
Answers
Answer:
Haha....sure
Step-by-step explanation:
Quintessential Quintuplets
My Teen Romance Comedy
Kaguya sama Love is War
Rent a Gf
Rascal Does Not Dream of Bunny Girl
Your lie in April
(All romance btw)
Junji ito
Blood-c
Another
Parasyte
Boogiepop phantom
Corpse party
Deadman wonderland
Elfen lied
Gantz
Ghost hunt
Hell Girl
Hellsing
Mushi-shi
Paranoia Agent
Serial Experiment Lain
Yamishibai
Romance-
Fruits baskets
Kiss him not me
Kuzu no honkai
Snow White with red hair
Kimi no todoke
5 centimeters per second
Nisekoi
Monthly girls’ Nozaki-kun
Maid sama
Tamako love story
Golden time
My little monster
Honey and clover
Weathering with you
Orange
An item has a listed price of $70 If the sales tax rate is 7% how much is the sales tax (in dollars)?
Answers
Answer:
$74.9
Step-by-step explanation:
A tax of 7 percent was added to the product to make it equal to $74.9.
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️☁️
The probability that the sample will accurately represent the target group within the margin of error is called the Group of answer choices confidence level. polling bias. margin of error. random sample.
Answers
Answer:
What is the probability of a sample mean?
The Probability of a Sample Mean The Probability of a Sample Mean We saw in the previous section that if we take samples, the distribution of the sample means will be approximately normal. This will hold true even when the underlying population is not normally distributed, provided we take samples of n=30 or greater.p-by-step
Two years ago, the water level in a local reservoir fell 834 feet. Last year, the water level rose 435 feet. By how many feet did the water level of the reservoir change overall during these two years?
Answers
Answer:
- 4 3/20 The other person is correct
Step-by-step explanation:
The water is 399 feet fell.
What is unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Two years ago, the water level in a local reservoir fell 834 feet.
Last year, the water level rose 435 feet.
So, the water level of the reservoir change overall during these two years
= -834 + 435
= -399
Hence, the water is 399 feet fell.
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there is the picture I forgot to add it the first time my apologies
Answers
Answer:
64 degrees
Step-by-step explanation:
The measure of the exterior angle should be that same as the measures of the two remote interior angles. The remote interior angles are 37 & 27, so when you add them together, you get 64.
Hope this helps :-)
A researcher obtains z = 1.80 for a one-sample z test. What is the decision for this test at a .05 level of significance?
Group of answer choices
a. to reject the null hypothesis
b. to retain the null hypothesis
c. It depends on whether the test is one-tailed or two-tailed.
d. There is not enough information to make a decision.
Answers
The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).
To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).
For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.
Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.
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Your literature class will read 4 novels this year, chosen by class vote from a list of 7 possible books offered by the teacher.
a) How many different ways could the course unfold, given that it probably matters what order you read the books in?
b) How many different choices of books could the class make?
a) The number of different ways the course could unfold is
Answers
Answer:
a) 840 different ways
b) 35 different choices of books
Step-by-step explanation:
We know that our literature class will read a total of 4 novels this year.
All novels chosen by class vote from a list of 7 possible books offered by the teacher.
Wherever we have an experiment \(''N''\) which is formed by sub - experiments that can occurred in \(m_{1},m_{2},...,m_{n}\) ways, the total number of ways in which the whole experiment \(''N''\) can be developed is :
\(m_{1}\) x \(m_{2}\) x ... x \(m_{n}\)
Then, for a) if it matters what order we read the books in, the total number of different ways could the course unfold is :
\((7).(6).(5).(4)=840\) (I)
Because for the first book there are 7 different choices. Now, given that we choose the first book, we only have 6 different choices for the second one.
Continuing with the idea, we deduce the equation (I).
For item b) :
Wherever we have \(''n''\) different objects and we want to find the ways that we can choose \(''r''\) objects from that group, we need to use the combinatorial number.
We define the combinatorial number as :
\(nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}\)
Then, if we apply this to the problem, the total different choices of books if we want 4 novels voting from a total of 7 possible books is :
\(7C4=\frac{7!}{4!(7-4)!}=35\)
a) 840 different ways
b) 35 different choices of books
Help me with math I don't understand!please
Answers
let'sAnswer:
P ≈ 102.83 cm
Step-by-step explanation:
The window is practically a semi-circle. The formula for the perimeter of a semi-circle is πr + d.
*Remember that d (diameter) = 2 · r (radius)
Let's plug in everything that we know into the formula!
r = 20
d = 2(20) → 40
π(20) + 40 = 102.8318531
Now lets round the answer to the hundredths place.
102.8318531 → 102.83
Answer:
62.83 (estimate)
Step-by-step explanation:
The equation for the perimeter of a circle (also called circumference) is 2 times pi times the radius, or pi times the diameter. Since the window is a semi-circle, you divide the result by two.
\(2\pi r\\2(20)\pi = 40 \pi\\40\pi= 125.6\\125.663706144/2=62.83\)
What is the surface area?
Answers
Answer:
The total area is 685
Step-by-step explanation:
First get the area of the square; the area of the square is the height times the width. Because its a square all of its sides are equal, 15 times 15 equals 225. Next we go to figuring out the triangles´ area; the formula to figure out a triangles area is 0.5 times height times width. Because there are 4 of the exact same triangles we only have to figure out one and we have the area for each of them. 0.5 times 20 times 15 equals 115, with that information we are able to obtain all the information we need to discover the total area.
The area of the square: 225
The area of each of the triangles: 115
If there are 4 exact triangles of 115 then that equals all the triangles together to be 460, then add the square 460 plus 225 equals 685.
Hope this helps!!
You can solve the equation 12 times 34 in at least 4 different ways .
Answers
We have the following equation
\(12\times34=408\)We can see that the factors of 12 and 34 are, respectively,
\(\begin{gathered} \text{factors of 12: 1,2,3,4,6,12} \\ \text{factors of 34:1,2,17,34} \end{gathered}\)Then, the answer is:
I can solve the equation 12 times 34 using
\(\begin{gathered} 12\times2\times17 \\ 2\times6\times34 \\ 2\times6\times2\times17 \\ \text{and} \\ 3\times4\times34 \end{gathered}\)The product is 408
ASAP Find x if 120 kg : 200 kg = 18 : x.
Answers
Answer:
X= 200 * 18 /120 = 30
Step-by-step explanation:
Please Brainlist
Step-by-step explanation:
refer the above attachment
thankyou
Carlos has read 45% of his book. If his book has 480 pages, how many pages did he read? *
Answers
Millicent has 10,000 invested in two accounts. For the year she earned 535 more interest from her 7% mutual fund account than she did from her 4% CD. How much does she have in each account?
Answers
She saved 4500 in a mutual fund account and 5500 in a CD account.
What is simple interest?We know simple interest (SI) is given by SI = (p×r×t)/100, where
p = principle, r = rate in percentage, and t = time in years.
Assuming she has invested x amount of money in 7% mutual fund account and (10000 - x) amount of money in 4% CD account.
Given, she earned 535 more interest from her 7% mutual fund account than she did from her 4% CD,
∴ (x×7×1)/100 - [(x-10000)×4×1]/100 = 535.
(7x/100) - (4x - 4000)/100 = 535.
7x/100 - 4x/100 + 40000/100 = 535.
3x/100 + 400 = 535.
3x/100 = 135.
3x = 13500.
x = 4500.
She invested 4500 in a mutual fund account and 5500 in a CD account.
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