Lee Associates borrowed $60,000. The company plans to set up a sinking fund that will pay back the loan at the end of 12 years. Assuming a rate of 8% compounded semiannually, the amount to be paid into the fund each period is):
Multiple Choice
$1,350
$1,535.21
$1,653
$5,163
Answers
The required amount to be paid into the fund each period is $1535.21. which the correct answer would be option (B).
Lee Associates borrowed $60,000 in total. The corporation intends to establish a sinking fund to repay the debt after 12 years.
Assuming a semiannual compounding rate of 8%,
As per the given information, the required solution would be as:
Amount to be paid into the fund each semi-annual period will be
= Loan Amount/((1+r/2)²ⁿ⁻¹)/(r/2))
= 60000/(((1+8%/2)²ˣ¹²⁻¹)/(8%/2))
= $1535.21
Thus, the required amount to be paid into the fund each period is $1535.21.
Hence, the correct answer would be an option (B).
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Related Questions
Triangle A B C is an isosceles triangle. Find the missing angles and side measures.
- Angle A =?
- Angle C=?
- Side A C=?
Answers
The value of ∠ A = 40°,∠C = 70° and AC = 12
What is value ?
Value in mathematics can refer to a number of closely related ideas. A mathematical value can generally be any specific mathematical object. This is most frequently a number in elementary mathematics, such as a real number like or an integer like 42.
Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value. Consider the number 45, for example. Here, the fourth digit is in the tens column.
If triangle is isosceles it means the two sides and angles are equal
∴ BC = AC
AC = 8 cm
A + B + C = 180
A = 180 - 70 -70
∠A = 40°
∠C = 70°
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Question 3 Write a method that solves for x in the quadratic equation. The parameters are a, b, c, and boolean flag that indicates whether it will solve the equation with addition or subtraction in the numerator. 2-4ac ㄨㄧ- 2a Source: Wikipedia The method will return the value of x
Answers
On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )
What is quadratic equation?A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.
public static double solve(double a, double b, double c, boolean flag)
{ double d = Math.sqrt(b*b - 4*a*c); if(flag)
{ return (-b + d) / (2*a); }
else { return (-b - d) / (2*a); } }
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Solve for x (9x-16) (3x+11) (7x-5)
Answers
9x²-16x(3x+11)(7x-5)
9x²-48x²-176x(7x-5)
9x²-48x²-1232x²+880
-1271x²+880
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze.
A) What is the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing?
B) What is the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing?(
C) Would you be surprised if, after observing 12 individuals, fewer than half covered their mouth when sneezing? Why?
Answers
Answer:
A
\(P(X = 8 ) = 0.0037\)
B
\(P(X < 5) = 0.805\)
C
I will not be surprised because the probability that fewer than half covered their mouth when sneezing is less than 0.5
Step-by-step explanation:
From the question we are told that
The probability a randomly selected individual will not cover his or her mouth when sneezing is \(p = 0.267\)
The probability a randomly selected individual will cover his or her mouth when sneezing is
\(q = 1 -p\)
\(q = 1 -0.267\)
\(q = 0.733\)
Generally the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing is mathematically represented as
\(P(X = 8 ) = \left 12 } \atop {}} \right. C_8 * p^8 * q^{12-8}\)
\(P(X = 8 ) = 495 * (0.267)^8 * (0.733)^{12-8}\)
\(P(X = 8 ) = 0.0037\)
Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as
\(P(X < 5 ) = P[ P(X = 0) + \cdots + P(X = 4)]\)
=> \(P(X < 5) = \left 12 } \atop {}} \right. C_0 * (0.267)^0 * (0.733)^{(12- 0) }+\cdots + \left 12 } \atop {}} \right. C_4 * (0.267)^0 * (0.733)^{(12- 4) }\)
=> \(P(X < 5) = 0.805\)
Give that half of 12 is 6 then
The probability that fewer than half covered their mouth when sneezing is mathematically represented as
\(P(X > 6) = 1 - P( X \le 6 )\)
=> \(P(X > 6) = 1 - [P(X = 0 ) +\cdots+P(X = 6) ]\)
=> \(P(X > 6) = 1 - [\left 12 } \atop {}} \right. C_0 *(0.267)^0 * (0.733)^{12 - 0 } +\cdots + \left 12 } \atop {}} \right. C_6 * (0.267)^6 * (0.733)^{12-6}]\)
=> \(P(X > 6) = 0.0206\)
HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:i think its the second one
Step-by-step explanation:
Determinewhether the two lines areparallel, perpendicular, neither.X-3=6Y = 3x +4
Answers
we have the lines
x-3=6
x=6+3
x=9
this is a vertical line (parallel to the y-axis)
The slope is undefined
and
y=3x+4
The slope is m=3
Compare their slopes
1) Their slopes are not equal -----> are not parallel lines
2) Their slopes are not negative reciprocal -----> are not perpendicular lines
therefore
The answer is neitherThe solution to an inequality is represented by the number line.
A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to positive 5.
How can this same solution be written using set-builder notation?
Answers
The set builder notation of the solution inequality represented on the number line is; {x: 3< x <=5}.
What is the set builder notation representation of the solution?It follows from the task content that at point positive 3, there's an open circle which signifies that the number 3 is less than the solution.
And since the number line is shaded from positive 3 to 5, it follows that the maximum value in the solution set is 5.
The representation is therefore; {x: 3< x <=5}.
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On the number line, the solution inequality is represented by the notation x: 3=5, which is the set builder notation of the inequality.
This is further explained below.
What does the answer look like when represented using set builder notation?Given the information provided in the job, it is logical to conclude that at point positive 3, there will be an open circle. This will indicate that the number 3 will be lower than the answer.
And since the shading on the number line goes from positive 3 to 5, it follows that the highest value that can be found in the set of solutions is 5.
As a result, the representation is written as:
"x: 3 x = 5."
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The volume of a rectangular solid is 150 3/4. It has a height of 8 and a width of 13.25, what is the length?
Answers
Answer:
1.42217 or 1.42
Step-by-step explanation:
Using the formula
V=whl
Solving for L
L=V/HW=150.75/8x13.25≈1.42217
In a large on-the-job training program, half of the participants are female and half are male. In a random sample of six participants, what is the probability that an investigator will draw at least one male?† (Round your answer to four decimal places.) P(X ≥ 1) =
Answers
Answer: 0.9844
Step-by-step explanation:
given data:
sample size n = 6
It’s assumed that half the population are male and the remaining half are females
F = 1/2
M = 1/2
the probability that the investigator would draw altleats one male
P ( x ≥ 1 ) =
= 1 - ( 0.5 ) ^ 6
= ( 0.5 )^6
= 0.9844
Which of the statement(s) about the graph shown are true? Select all that apply.
Answers
Answer: Is there a picture?
Step-by-step explanation:
Louis Poinsot established the patterns for the icosahedron and the dodecahedron in
1809. Besides really long words, what are they?
Answers
Answer:
Platonic solids
Step-by-step explanation:
To solve this we must be knowing each and every concept related to geometry. Therefore, icosahedron and the dodecahedron represents geometry of molecule.
What is geometry?Molecular geometry in chemistry depicts a molecule's three-dimensional form as well as the relative location of its atomic nuclei.
Understanding a molecule's molecular geometry is critical since the spatial connection between atoms dictates its reactivity, color, bioactivity, state of matter, polarization, as well as other features. A molecule's form influences its physical and chemical properties, including its colour, sensitivity, and bioactivities. Icosahedron and the dodecahedron represents geometry of molecule.
Therefore, icosahedron and the dodecahedron represents geometry of molecule.
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write down all the factors of each number
a. 10
b. 25
c. 36
d. 50
e. 100
Answers
Answer:
Below
Step-by-step explanation:
The factors of 10 are 1, 2, 5, 10.
The factors of 25 are 1, 5, and 25.
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 50: 1, 2, 5, 10, 25, 50.
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, and 100.
NEED ANSWER ASAP PLEASE!!
Answers
Answer:
DE=5*8=40
Step-by-step explanation:
DE+EF=DF
5x+17x-20=20x-4
22x-20=20x-4
22x-20x=-4+20
2x=16
x=16/2
x=8
DE=5x
DE=5*8=40
12. Indy and Zach are finding the number of real zeros for the function graphed below. Indy says the function has no real zeros because the graph does not have any x intercepts. Zach says the function has one real zero because there is a y intercepts. Is either of them correct? Explain your reasoning using the RACE model in the space below. (Reminder: R-Restate A-Answer C-Cite evidence E-Explain your solution)
Answers
Answer:
Step-by-step explanation:
real solutions are the points where the graph cuts x-axis.
This graph do not cut x-axis.
So it has no real solution.
WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!
What scale factor was applied to the first rectangle to get the resulting image?
Enter your answer as a decimal in the box.
Answers
Answer:
2.5
Step-by-step explanation:
the length has increased by 7.5/3 = 2.5.
so the scale factor is 2.5
True or false: 1-51 = -5?
Answers
Answer:
False
Step-by-step explanation:
Absolute value gives you a positive answer
Answer:
False
Step-by-step explanation:
The left side
− 50 does not equal to the right side − 5 , which means that the given statement is false.
The dot plots show the number of pages Mandee read per day for two books in a series.
Book 1
Book 2
.
A
20 21 22 23 24 25 26
Number of Pages Read
20 21 22 23 24 25 26
Number of Pages Read
The mean absolute deviation for each book is 1.25. The difference between the median number of pages read per day for each book is how
many times the mean absolute deviation?
OA
5
ОВ.
2
Ос.
4
OD
3
Answers
Answer:
Step-by-step explanation:
2
Do beavers benefit beetles? Researchers laid out 23 circular plots, each 4 meters in diameter, in an area where beavers were cutting down cottonwood trees. In each plot, they counted the number of stumps from trees cut by beavers and the number of clusters of beetle larvae. Ecologists think that the new sprouts from stumps are more tender than other cottonwood growth, so that beetles prefer them. If so, more stumps should produce more beetle larvae. The table contains the data 2 213 3 4 3125 10 30 12 24 36 40 43112756 18 40 2 1 2 2 11 4 12 1 25 8 2114166 5491314 50 13 Stumps Beetle larvae 4 Stumps Beetle larvae To access the complete data set, click the link for your preferred software format Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! Analyze these data to see if they support the "beavers benefit beetles" idea. Follow the four-step process in reporting your work STATE: Choose the statement that best describes the goal of the research. The number of tree stumps is the explanatory variable, and we expect an increase in the number of tree stumps to induce a decrease in the response variable, the number of beetle larvae. The number of tree stumps is the explanatory variable, and we expect an increase in the number of tree stumps to induce an increase in the response variable, the number of beetle larvae. Beetle larvae are the explanatory variable, and we expect an increase in beetle larvae to induce a decrease in the response variable, the number of tree stumps. Beetle larvae are the explanatory variable, and we expect an increase in beetle larvae to induce an increase in the response variable, the number of tree stumps. PLAN: Make a scatterplot of the data and examine the pattern. Choose the statement that best describes your findings: There is a weak negative linear relationship The relationship doesn't seem to be linear There is a positive linear relationship. There is a strong negative linear relationship SOLVE: Calculate the correlation for the data. Also calculate the slope and intercept of the regression line. Drag the correct answers to the appropriate bins Correlation Slope Intercept Answer Bank 1.286 11.89 0.839 1.661 0.916 3.452 -0.916 -1.286 CONCLUDE: Calculate the fraction of the variation in the values of the number of beetle larvae that is explained by the least-squares regression with the number of tree stumps. Enter your answer as a decimal rounded to three decimal places Which of the choices correctly describes whether the association supports the idea that beavers benefit beetles? Yes, the weak negative association supports the idea that beavers benefit beetles. Yes, the strong positive association supports the idea that beavers benefit beetles No, the strong negative association does not support the idea that beavers benefit beetles There is not enough information to tell No, the strong positive association does not support the idea that beavers benefit beetles.
Answers
.No, the strong negative association does not support the idea that beavers benefit beetles.
The solution is as follows:
The number of tree stumps is the explanatory variable, and we expect an increase in the number of tree stumps to induce an increase in the response variable, the number of beetle larvae.
There is a weak negative linear relationship.
Correlation is : -0.916; Slope: -1.286; Intercept: 3.452
The fraction of the variation in the values of the number of beetle larvae that is explained by the least-squares regression with the number of tree stumps is 0.839. This indicates that the strong negative association does not support the idea that beavers benefit beetles.
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Find the equations of the line that passes trough point (3,4)and is parallel to the given line. 3x+2y=4
Answers
It is required that you find the equation of a line that passes through the point (3,4) and is parallel to 3x+2y=4.
Recall that the equation of a line with slope m and passes through the point (x₁,y₁) using the point-slope form is given as:
\(y-y_1=m(x-x_1)\)This implies that what is left to find the equation of the required line is its slope.
Recall that the Slopes of parallel lines are equal (the same).
Write the given equation 3x+2y=4 in slope-intercept form, y=mx+c, as follows:
\(\begin{gathered} 3x+2y=4 \\ \Rightarrow2y=-3x+4 \\ \Rightarrow y=-\frac{3}{2}x+\frac{4}{2} \\ \Rightarrow y=-\frac{3}{2}x+2 \end{gathered}\)Compare this equation with the slope-intercept form, y=mx+c, it follows that the slope of the given line is m=-3/2.
Since the slopes of parallel lines are equal, it follows that the slope of the required line is -3/2.
Substitute the point (x₁,y₁)=(3,4) and m=-3/2 into the formula for the equation of a line in the point-slope form:
\(\begin{gathered} y-4=-\frac{3}{2}(x-3) \\ \Rightarrow y-4=-\frac{3x}{2}-\frac{3}{2}(-3) \\ \Rightarrow y-4=-\frac{3x}{2}+\frac{9}{2} \\ \Rightarrow y=-\frac{3x}{2}+\frac{9}{2}+4 \\ \Rightarrow y=-\frac{3}{2}x+\frac{17}{2} \end{gathered}\)The required equation is y= -3/2 x + 17/2.
can someone help ? i only have 36 min
Answers
Answer:
\( \boxed{ \bold{{ \boxed{ \sf8 {x}^{7} + 3 {x}^{6} + {x}^{5} + 5 {x}^{4} - 2 {x}^{3} }}}}\)
Step-by-step explanation:
Here, we have to arrange the polynomial from higher power to lower power.
So, Option C is the correct option
Hope I helped!
Best regards! :D
Peter started to deposit 5000 monthly in a fund that pays 1%compounded monthly .how much will be in the fund after 8 months?
Answers
Answer:
43200 assuming he put 5000 in the fund every month not just the first one.
Step-by-step explanation:
I hope this helps.
36=12d is a proportional or Non-proportional? Explain
Answers
Answer:
non-proportional
Step-by-step explanation:
This equation is non-proportional. A proportional equation contains 2 variables where one is proportional to the other. An example would be:
y = 5x
Y is proportional to the value of X at a rate of 5. 5 is the "constant of variation", or the "constant of proportionality"
36 = 12d is not proportional because there is only one variable. That variable can be solved for, giving only one solution.
proportional:
"corresponding in size, degree or intensity"
"having the same or a constant ratio"
2x-3\(\geq\) 0
Answers
Answer:
x ≥ 1.5
Step-by-step explanation:
2x - 3 ≥ 0 ( add 3 to both sides )
2x ≥ 3 ( divide both sides by 2 )
x ≥ 1.5
1.Clare recorded the amounts of time spent doing homework, in hours per week, by students insixth, eighth, and tenth grades. She made a dot plot of the data for each grade and provided thefollowing summary.Students in sixth grade tend to spend less time on homework than students in eighth andtenth grades.The homework times for the tenth-grade students are more alike than the homework timesfor the eighth-grade students.no
Answers
Each point in the plot represents a student.
From the first statement we know that:
"Students in sixth grade tend to spend less time on homework than students in eighth and tenth grades."
We must look the three plots and see which one has more dots in the lower numbers of hours.
We can see that the plot B is the plot with more dots in the region of lower numbers of hours.
So from that we can say that the plot B correspond to the sixth grade.
Now we must read the next statement in order to know which plot correspond to the eighth and tenth grades.
The next statement tell us that:
"The homework times for the tenth-grade students are more alike than the homework times for the eighth-grade students."
So, the key is in: "the tenth-grade students are more alike", the meaning of that is that the points are more scattered or dispersed. If we compare the plot A and C, we see that the points in A are more scattered or dispersed than in the plot C. So, the plot A corresponds to the tenth grade, and the last one (plot C) to the eight grade.
Simplify 1 to lowest terms and find an equivalent fraction that has a denominator of 32.
A.6/8, 28/32
B.2/6 , 24/32
C.3/4, 24/32
D.3/4, 12/32
Answers
Answer:
Option C
Step-by-step explanation: 3/4 x 8 will get 24 as the numerator and 32 as the denominator
How does 5.24 x 10 to the 3rd power equals 5,240
How does 524,000 divided by 10 to the 2nd power equals 5,240
Answers
1. 10 to the 3rd power will look like this: 10 x 10 x 10 (multiplying 10 three times)
10 x 10 x 10 is 1000.
Then you multiply 1000 by 5.24 like a regular problem, which will equal 5,240.
There are 3 zeroes so you shift the decimal 3 times.
2. 10 to the second power is 10 x 10. 10x10 is 100.
524,000 divided by 100 is 5240. It’s similar to LOSING two zeroes because you’re DIVIDING.
In the two expressions, the powers of 10 are used to express the numbers in a more compact and manageable form.
How to solve the expressionTo convert \(5.24 * 10^3\) to standard form:
Multiply 5.24 by 1000 (since \(10^3\) = 1000).
5.24 x 1000 = 5240
Therefore, 5.24 x \(10^3\) = 5240
524,000 divided by\(10^2\) is also using the concept of powers of 10.
To convert 524,000 divided by \(10^2\) to standard form:\(10^2\)
Divide 524,000 by 100 (since = 100).
524,000 ÷ 100 = 5,240
Therefore, 524,000 divided by\(10^2\) equals 5,240.
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What is the volume of this figure?
Enter your answer in the box.
yd³
Answers
The volume of the composite figure is
4095 cubic ydHow to find the volume of the composite figureThe volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes
The simple shapes used here include
trapezoid andrectangleVolume of rectangle = length x width x depth
= 30 * 9 * 7
= 1890 cubic yd
Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth
= 1/2 (30 + 19) x 10 x 9
= 2205 cubic yd
Total volume
= 1890 cubic yd + 2205 cubic yd
= 4095 cubic yd
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I need help I have been stuck on this for a while
Answers
a) The account with the largest balance is D. Rent A Truck which is $165.
b) The open account is D. Rent A Truck.
c) Since it takes seven years for negative credit history to be removed from a person's credit report, the year that the late payment at Rent A Truck will be removed is 2016, specifically by the end of February 2016.
What is a credit report?A credit report records the borrower's credit history from various sources, including banks, credit card companies, collection agencies, and governments prepared by the following credit reporting bureaus: Equifax, Experian, and TransUnion.
What is an open account?An open account refers to a credit that has not been fully discharged.
Unlike a closed account, the open account remains operational, with debit and credit transactions recorded, including finance charges and credit reports issued from it.
Thus, based on the facts supplied, Rent A Truck is the only open account because the other three have been closed.
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NEED ANSWER FAST, WITH WORK. BE DETAILED AND CORRECT OR BE REPORTED
A parking lot is designed to be 50 feet by 100 feet. An architect suggests that the sides of the
parking lot be increased by x yards. Answer the following questions.
a. Write an equation for the area, A(x), of the new parking lot.
b. What would be the area of the lot if you increased each side by 10 feet?
c. What would be the area of the lot if you increased each side by 25 feet?
Answers
Answer:A: 8,000 bleacher seats. 4,500 + 7,500 premium seats = 12,000. 12,000/x = 3/2. x = 8,000.
Step-by-step explanation:
It was right on study island.
perform a glide reflection by translating ABC right 2, 4, then reflect across the y-axis. five the coordinates for the first image A' B' C'pre-image A(3,11) B(3,4) C(10,4)
Answers
The glide reflection that concerts the pre-image of the points:
A = (3, 11)
B = (3, 4)
C = (10, 4)
to the right 2 units is given by adding to the x coordinate 2 units. These points then become:
A' = (3 + 2, 11) = (5, 11)
B' = (3 + 2 , 4) = (5, 4)
C' = (10 + 2, 4) = (12, 4)