Larry accumulated $3,000 in credit card debt. If the interest rate is 10% per year and he does not make any payments for 2 years, how much will he owe on this debt in 2 years for quarterly compounding? Round your answer to two decimal places.
Answer:
The amount will be "$3655.21".
Step-by-step explanation:
The given values are:
Principle,
P = $3000
Interest rate,
r = 10% i.e., 0.1
Number of times interest,
n = 4
Time,
t = 2 years
As we know,
⇒ \(A=P[1+\frac{r}{n} ]^{tn}\)
On putting the values in the above formula, we get
⇒ \(=3000[1+\frac{0.1}{4} ]^{2\times 4}\)
⇒ \(=3000[1+0.025]^8\)
⇒ \(=3000\times 1.2184\)
⇒ \(=3655.21\) ($)
What is the inverse equation of \(y=10^x\)
Step-by-step explanation:
\(y = 10 {}^{x} \)
Swap y and x
\(x = 10 {}^{y} \)
The opposite of a exponent with base b, is a logarithm with base b.
\( log_{10}(x) = log_{10}(10 {}^{y} ) \)
By definition, since log and exponent are inverses of each other and they have the same bases. This composition will spit out the variable , y
\( log_{10}(x) = y\)
Using notation
\(f {}^{ - 1} (x) = log_{10}(x) \)
Can y’all help me with this?
9514 1404 393
Answer:
A. 5 1/3
Step-by-step explanation:
The distance Amy ran on Tuesday was 2/3 mile. 8 times that distance is ...
8(2/3 mi) = 16/3 mi = 5 1/3 mi
Find the seasonalized forecast for Q2 of 2017.The sales trend
has been modeled as: Sales = 181.00+ 2 * t , where t= time in
quarters, beginning in Q1 2014. Seasonality for the four quarterly
periods i
The sales trend Sales = 181.00 + 2t where t= time in quarters, beginning in Q1 2014The seasonal factors for the four quarters are i.e: {0.9, 1.1, 1.2, 0.8}
To find the seasonalized forecast for Q2 of 2017, the following steps must be followed:
Step 1: Calculate trend for the Q2 of 2017 t = 3.25
Step 2: Determine seasonal factor for Q2 which is 1.1 since it's the second quarter
Step 3: Multiply trend and seasonal factors to get seasonalized trend for Q2 = (181 + 2(3.25)) * 1.1 = 198.95
Step 4: Therefore, the seasonalized forecast for Q2 of 2017 is 198.95.
Therefore, we have Sales = 181.00 + 2t where t is the time in quarters, starting from Q1 2014. In other words, t = 1 for Q1 2014, t = 2 for Q2 2014, and so on.
In addition, we have seasonal factors for each quarter, i.e, {0.9, 1.1, 1.2, 0.8}.
To calculate the seasonalized forecast for Q2 of 2017, we need to follow the following steps:
Step 1: Calculate trend for the Q2 of 2017t = 3.25 [since there are 13 quarters between Q1 2014 and Q2 2017.
The 13th quarter corresponds to Q2 2017. So, t = 13. Therefore, t = 2 + 4(13 - 1) = 3.25]
Step 2: Determine the seasonal factor for Q2 of 2017
The seasonal factor for Q2 of 2017 = seasonal factor for the second quarter = 1.1
Step 3: Multiply trend and seasonal factors to get seasonalized trend for Q2
Therefore, seasonalized trend for Q2 of 2017 = (181 + 2(3.25)) * 1.1 = 198.95Step 4:
Therefore, the seasonalized forecast for Q2 of 2017 is 198.95.
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What is the volume?
3 1/4 in
6 1/2 in
2 in
Answer:
42¼ in³
Step-by-step explanation:
volume = 6½×2×3¼= 42¼ in³
PLEASE HELP I NEED IT DONE TODAY
The box plots display measures from data collected when 15 athletes were asked how many miles they ran that day.
A box plot uses a number line from 0 to 13 with tick marks every one-half unit. The box extends from 5 to 10 on the number line. A line in the box is at 7. The lines outside the box end at 0 and 11. The graph is titled Group B's Miles, and the line is labeled Number of Miles.
A box plot uses a number line from 0 to 13 with tick marks every one-half unit. The box extends from 1 to 5 on the number line. A line in the box is at 2.5. The lines outside the box end at 0 and 11. The graph is titled Group C's Miles, and the line is labeled Number of Miles.
Which group of athletes ran the least miles based on the data displayed?
Group B, with a narrow spread in the data
Group C, with a wide spread in the data
Group B, with a median value of 7 miles
Group C, with a median value of 2.5 miles
The group of athletes that ran the least miles is Group C, with a median value of 2.5 miles. Therefore, the last option is correct.
When a dataset is sorted in ascending order, the median represents the middle value in the dataset. In this question, Group C's median distance is 2.5 miles, meaning that 50% of its participants can run lesser than or equal to 2.5 miles.
Whereas the median for Group B is 7 miles, which is more than the median for Group C. Therefore, in conclusion, we may say that Group C ran the least miles. The median figure, rather than the spread or range of the data, is what matters in this situation when determining which group ran the fewest miles.
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A system of linear equations is shown below.
{2m+4p=22
{6m+12p=66
Complete the statement by selecting the correct phrase from the provided list.
The system of linear equations has _________________________.
A unique solution
no solution
inf many solutions
Answer: No solution
Step-by-step explanation:
2m+4p=22
6m+12p=66
First, to choose one variable to simplified, I choose to find 1st equations in m form.
2m+4p=22
2m=22-4p [Subtract 4p from both side]
m=22/2 - 4/2p [Divide 2 on both side to find m]
m= 11 - 2p
6m+12p=66
6(11-2p)+12p=66 [Plug in the 11-2p in to m,according to the 1st equation]
66-12p+12p=66
The -12p has cancel with 12p, so it means that there is no solution
What is the median of the data in the table below?
Answer:24
Step-by-step explanation:
Two sides of a triangle are 4m and 5m in length and the angle between them is angle. write the formula for the area of the triangle as a function of angle
The rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3 is 0.3 m²/s.
What is the rate of change of an area?If the lengths a and b for two sides of the triangle, as well as the included angle θ, are known, the area of a triangle can be calculated using the sine formula.
\(\text { Area }=\frac{1}{2} a b \sin \theta\)
Now, according to the question;
The two sides of the triangle are given;
Let a = 4m and b = 5m.
Let θ = π/3. be the angle between the two sides;
Then,
Differentiate the area with respect to time (as rate of change of area)
\(\begin{aligned}\frac{\mathrm{d} A}{\mathrm{~d} t}=\frac{\mathrm{d}}{\mathrm{d} t} \frac{1}{2} a b \sin \theta &=\frac{1}{2} * 4 * 5 * \frac{\mathrm{d}(\sin \theta)}{\mathrm{d} \theta} \cdot \frac{\mathrm{d} \theta}{\mathrm{d} t} \\&=10 *(\cos \theta) * 0.06 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.6 \cos (\pi / 3) \frac{\mathrm{m}^{2}}{\mathrm{~s}} \\&=0.6 * 0.5 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.3 \frac{\mathrm{m}^{2}}{\mathrm{~s}}\end{aligned}\)
Therefore, the area of the triangle as a function of angle is 0.3 m²/s.
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The complete question is-
Two sides of a triangle are 4m and 5 m in length and the angle between them is increasing at a rate of 0.06 rad/sec. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3.
Market for College Education A college education creates positive externalities. Use the accompanying graph which represents the hypothetical market for a college education in the land of Smartypants to answer the questions that follow. MSB stands for marginal social benefit, MPB stands for marginal private benefit, and MPC stands for marginal private cost. If the government of Smartypants wanted to subsidize college education, how much would it subsidize cach student to achieve the socially optimal level of education?
The government of Smartypants would need to subsidize college education per student by $2,000.
How to determineThe question is asking about how much the government of Smartypants would need to subsidize college education per student to achieve the socially optimal level of education.
As per the graph given below, the socially optimal level of education is where MSB = MPC.
So, the government of Smartypants would need to subsidize college education per student by $2,000 to achieve the socially optimal level of education.
The subsidy shifts the supply curve to the right, and so the equilibrium quantity demanded of education increases from QP to QS.
As a result, the market price decreases from PP to PS.The diagram below shows the effects of a subsidy on the market for education. The supply curve shifts to the right, which increases the quantity of education from Q1 to Q2.
The demand curve does not shift as the cost to consumers has not changed, and the price of education falls from P1 to P2. The subsidy per student is represented by the distance between the original MPC and the new MSC curves at the socially optimal level of education.
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A car is rolling south at 8 miles per hour, and a man pushes the car north at 10 miles per hour. What is the resultant vector on the car
The resultant vector on the car would be a vector pointing north with a magnitude of 2 miles per hour.
The resultant vector is the net effect of two or more individual vectors on an object. It is the overall force or movement that is produced when all the individual vectors are combined. To find the resultant vector, you would add together all of the individual vectors using vector addition. The resultant vector would be represented by a single vector with a certain magnitude and direction.
If a car is rolling south at 8 miles per hour, and a man pushes the car north at 10 miles per hour, subtract the southward velocity from the northward velocity.
10 mph northward - 8 mph southward= 2 mph northward
Therefore, the resultant vector on the car is 2 mph northward.
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4s4 17s2 14s 2 = (2s3 3s2-4s 1)(x)
The required difference of the polynomial functions is -9s^2 + 4s - 2
Given the following difference of polynomial expressed as:
(–6s2 + 12s – 8) – (3s2 + 8s – 6)
We are to find the difference
(–6s2 + 12s – 8) – (3s2 + 8s – 6)
Expand
–6s^2 + 12s – 8 - 3s^2 - 8s + 6
Collect the like terms
–6s^2- 3s^2 + 12s - 8s - 8 + 6
-9s^2 + 4s - 2
Hence the required difference of the polynomial functions is -9s^2 + 4s - 2
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complete question
Find each difference.
(–6s2 + 12s – 8) – (3s2 + 8s – 6) =
–9s2 + 4s – 14
–9s2 + 4s – 2
–9s2 + 20s – 14
–9s2 + 20s – 2
Round
0.655
to one decimal place.
Answer:
0.7
Step-by-step explanation:
If we're rounding to one decimal place, we need to round up since it's 0.65.
Answer:
You would round to 0.7.
Step-by-step explanation:
- 1-4 rounds down
- 5-9 rounds up
0.65 to 0.7
What is 2+2x -6=2720=1819
The solution to the equation √(2 + 2x) - 6 = 2 when evaluated is x = 31
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
√(2 + 2x) - 6 = 2
So, we have
√(2 + 2x) = 8
Take the square of both sides
so, we have the following representation
2 + 2x = 64
Evalyate the like terms
2x = 62
Divide by 2
This means that
x = 31
Hence, the solution is x = 31
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Complete question
What is √(2 + 2x) - 6 = 2
What is the maximum number of pieces that a watermelon can be cut into with 10 cuts.
Watermelon can be divided into a maximum of 56 pieces using ten cuts.
A watermelon splits into two parts when you make a cut through it. Anywhere that a subsequent cut crosses an earlier cut, a new piece is formed. As a result, there are more pieces after each cut.
We need to take into account how the cuts cross to find the maximum number of pieces. Two pieces are produced by the first cut, two more are produced by the second cut intersecting those two pieces, and so on.
Figured out using a formula.
The formula given below is to calculate the greatest number of fragments from n cuts.
N=(n²+n+2)/2
In the formula, change n = 10 to represent ten cuts as follows
N=(10²+10+2)/2
N = (100+10+2)/2
N=112/2 N=56
A watermelon may only be divided into a maximum of 56 pieces with ten cuts.
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Find the distance between the two points. Write your answer as a
decimal rounded to the hundredths place if needed.
(3, -12) and (-7, -11)
An assembly line has 5 stations with times of 1, 5, 7, 4, 10, respectively. What is the bottleneck time
Answer:
10
Step-by-step explanation:
You want the bottleneck time in an assembly line with station times of 1, 5, 7, 4, and 10.
BottleneckThe rate-limiting station is the one where processing takes the longest time. In this assembly line, that is Station 5, with a time of 10.
__
Additional comment
Ideally, kits would be released to production only at the rate that station 5 can process them. If station 5 is not first in the sequence of processes, there should be a control mechanism that rate-limits input to the first station.
In this assembly line, product released faster than 1 per 7 time units will pile up in front of station 3, and again in front of station 5.
Quality controls should be in place to make sure that station 5 only has good input, and always produces good output. As the rate-limit in the process, its time cannot be wasted on bad product.
the average math sat score for incoming freshman at a particular college is 535 with a standard deviation of 60. the coefficient of variation for sat scores at this school is
The coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score.
The coefficient of variation (CV) is a measure of relative variability, defined as the ratio of the standard deviation to the mean of a dataset. It is expressed as a percentage and provides a way to compare the variability of datasets with different means.
To calculate the CV for SAT scores at this particular college, we first need to calculate the standard deviation of the dataset. We are given that the average SAT score for incoming freshmen is 535 with a standard deviation of 60. Therefore, the standard deviation (s) is 60.
Next, we need to calculate the mean of the dataset. We are given that the mean (μ) is 535.
The coefficient of variation is then given by:
CV = (s / μ) x 100%
Substituting the values, we get:CV = (60 / 535) x 100%
= 0.1121 x 100%
= 11.21%
Therefore, the coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score. This information can be useful in comparing the variability of SAT scores between different colleges, even if their mean scores are different.
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The coefficient of variation for SAT scores at this school is approximately 11.21%.
The coefficient of variation for SAT scores at this school can be calculated using the following formula:
Coefficient of Variation = (Standard Deviation / Mean) x 100
Given the average math SAT score for incoming freshmen at this particular college is 535 and the standard deviation is
60, we can plug these values into the formula:
Coefficient of Variation = (60 / 535) x 100
Now, let's perform the calculations:
Coefficient of Variation ≈ 11.21 %
So, the coefficient of variation for SAT scores at this school is approximately 11.21%.
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Determine whether the following equence i an arithmetic or geometric progreion. Give a reaon for your anwer. 100p,50p,25p,
Answer:
Geometric.
Step-by-step explanation:
It is Geometric because there is a common ratio between the terms.
50p/100p = 1/2
25p/50p = 1/2
The common ratio is 1/2.
Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.
What is the main function of the female reproductive system ?
The main function of the female reproductive system is to allowing a person to have sexual intercourse, it also helps a person reproduce.
What is the female reproductive system?Both internal and exterior organs make up the female reproductive system. It is in charge of hormone production, menstruation, and sexual activity.
The physical parts that assist women or those who were assigned female at birth (AFAB) are the female reproductive system:
Have a sexual encounter.
Reproduce.
Menstruate.
The female reproductive system serves a number of purposes. It aids in sexual reproduction in addition to enabling sexual activity.
You make eggs using your ovaries. During ovulation, these eggs are subsequently moved to your fallopian tube where sperm fertilisation may take place. The fertilised egg is then transferred to your uterus, where the lining has expanded due to the regular hormones produced during your menstrual cycle (also called your reproductive cycle).
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The reproductive system of a woman performs three primary tasks: releasing eggs that may be fertilized by sperm; (ii) producing female sex hormones including progesterone and oestrogen; and (iii) creating a favorable environment for the development of a fertilized egg during pregnancy.
What is the reproductive system of a woman?The female reproductive system is made up of both internal and external organs. Menstruation, sexual activity, and hormone production are all under its control.
Mention important roles played by women's reproductive part.The female reproductive system is one of the physical components that helps women or people who were given that gender at birth (AFAB):
Engage in sexual activity.
Reproduce.
Menstruate.
There are many uses for the female reproductive system. Along with permitting sexual activity, it also promotes sexual reproduction.
A woman's reproductive system primarily serves to: I release eggs that may be fertilized by sperm; (ii) produce female sex hormones like progesterone and oestrogen; (iii) create an environment for a fertilized egg to develop throughout pregnancy; and (iv) facilitate labor and childbirth.
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Ex
Cullumber company has an old factory machine that cost $49,000. the machine has accumulated depreciation of $27,000. cullumber has decided to sell the machine. (credit account titles are automatically indented when amount is entered. do not indent manually. if no entry is required, select "no entry" for the account titles and enter 0 for the amounts.) (a) what entry would cullumber make to record the sale of the machine for $26,000 cash? (b) what entry would cullumber make to record the sale of the machine for $15,000 cash?
(a) The difference between the cost of the machine and the cash received is the loss on the sale, which is also credited. (b) The cash received is less than the machine's carrying amount, and the loss on sale is higher than in part (a).
(a) The entry to record the sale of the machine for $26,000 cash would be:
Cash $26,000
Accumulated Depreciation $27,000
Loss on Sale of Machine $ 4,000
Machine $49,000
The company needs to remove the machine from its books, so it will debit the machine's cost and accumulated depreciation to remove it. The cash received from the sale is credited.
(b) The entry to record the sale of the machine for $15,000 cash would be:
Cash $15,000
Accumulated Depreciation $27,000
Loss on Sale of Machine $ 7,000
Machine $49,000
The company needs to remove the machine from its books, so it will debit the machine's cost and accumulated depreciation to remove it. The cash received from the sale is credited. The difference between the cost of the machine and the cash received is the loss on the sale, which is also credited.
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help pls im so confused
10(1^2*2^-2)
Answer:
2.5(or 5/2 or 2 1/2)
Step-by-step explanation:
Remember PEMDAS
10 * (1^2 * 2^-2)
10 * (1 * 0.25)
10 * 0.25 =
2.5
What is the slope?????????
To find slope, divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points,hope this helps you (:
1. (02.01 LC)
Simplify (4.5)(5)(-2).
Answer:
-45
Step-by-step explanation:
i took the test and it was right
Can someone plz help my friend!!
Answer:
53 R4 Its A
Step-by-step explanation:
Look At Picture
HELP PLEASE, SUPER URGENT!!!!!!!!!!!
Which of the following are NON statistical questions?
A. How many people in
your family are over
16 years old?
B. How many years until
you are 16 years old?
C. What is the average
age
of the people in
your family?
D. What are the ages
of the students and
teachers in your school?
E. What are the ages
of the parents of the
students in your class?
F. What is the age
of your favorite
television star?
Answer:
Hans
Step-by-step explanation:
Jansj
refer to the following distribution. cost of textbooks frequency $25 up to $35 12 35 up to 45 14 45 up to 55 6 55 up to 65 8 65 up to 75 20 what are the class limits for the class with the highest frequency? multiple choice 65 up to 75 64 up to 74 65 up to 74.5 65 up to 74
The class limits for the class with the highest frequency is 65 up to 75. The correct answer is A.
The frequency distribution given in the question represents the number of textbooks and their corresponding costs. The distribution is divided into several classes, each representing a range of costs. The frequency for each class indicates how many textbooks fall within that range of costs.
The question asks us to find the class limits for the class with the highest frequency. We can see from the distribution that the class with the highest frequency is "65 up to 75", which has a frequency of 20.
The class limits for a given class are the lowest and highest values included in that class. In this case, the lower limit of the class "65 up to 75" is 65 (because it is the lowest value in that range), and the upper limit of the class is 75 (because it is the highest value in that range).
Therefore, the class limits for the class with the highest frequency are 65 (the lower limit) and 75 (the upper limit), and the correct answer is "65 up to 75". The correct answer is A.
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10 higher order thinking two vertical
cross sections of an unknown rectangular
prism are given. one vertical cross section
is parallel to a pair of faces of the prism.
the other cross section is parallel to a
different pair of faces of the prism. can the
entire prism be drawn using the given cross
sections? explain.
Yes, the entire prism is drawn using the given cross sections.
What is a rectangular prism?
A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism.
Here, we have
Given
Two vertical cross-sections of an unknown rectangular prism are given. one vertical cross-section is parallel to a pair of faces of the prism.
We observe that there are two vertical cross-sections of an unknown rectangular prism then make a pair of faces parallel to one vertical cross-section another is made the same.
It can make only one prism so, the entire prism can be drawn.
Hence, yes, the entire prism is drawn using the given cross sections.
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six boys stood equally spaced on a circle of radius $40$ feet. each boy walked to all of the other non-adjacent persons on the circle, shook their hands and then returned to his original spot on the circle before the next boy started his trip to shake hands with all of the other non-adjacent boys on the circle. after all six boys had done this, what is the least distance in feet that could have been traveled? express your answer in simplest radical form.
The least distance traveled is \($240\sqrt{3}$\) feet.
Each boy shakes hands with the two boys who are not adjacent to him on the circle. Since there are six boys in total, each boy shakes hands with four other boys. We can represent these handshakes on a graph, where the six vertices represent the six boys and the edges represent the handshakes. Each vertex has degree 4, meaning that there are 12 edges in total.
To minimize the distance traveled, each boy should simply walk directly across the circle to shake hands with the two boys on the opposite side. This way, each boy walks a distance equal to the diameter of the circle, which is \(2 \times 40 = 80$ feet.\)
Since there are six boys, the total distance traveled is \(6 \times 80 = 480$ feet\). However, we have counted each handshake twice, so we need to divide by 2 to get the total distance traveled. This gives us \(240$ feet.\)
To express this answer in the simplest radical form, we can use the fact that an equilateral triangle with side length \(s$\) has height \(s\sqrt{3}/2$\). The six handshakes form an equilateral triangle with side length 80, so its height is \(80\sqrt{3}/2 = 40\sqrt{3}$ feet\). Therefore, the total distance traveled is \(240\sqrt{3}$\) feet.
Therefore, the correct answer is \(240\sqrt{3}$\)feet.
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Which value, if any, from the set {4, 5, 6} makes 15f = 85 true?
A. 5
B. 4
C. None of these values
D. 6