Start A = The principal amount =$1750---> B= The simple interest= $20---> C= the interest rate= 12.5%---> H= the principal amount= $2,250 ---> escape.
How to calculate the principal amount?To calculate the principal amount, the simple interest formula is used.
Simple interest = principal×time ×rate/100
where: simple interest = $350
rate = 2%
time = 10 years
principal = SI×100/Time×rate
= 350×100/10×2
= 35000/20 = $1750
For B.) the simple interest = 141×7×2/100= 19.74=$20
For C.) The interest rate = 30×100/80×3= 12.5%
For H .) The principal amount = 900×100/4×10= $2,250
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How to find the mode.
Step-by-step explanation: The mode is the number that appears most frequently in a data set. If no Number repeats at all, then there is no mode. A data set can also have multiple modes if different numbers repeat the same amount of times.
suppose net income = $200 , depreciations = $10, and working capital went up by $70. what was cash from operations?
cash from operations is $140 when net income = $200 , depreciations = $10, and working capital went up by $70.
Cash from Operations = Net Income + Depreciation - Change in Working Capital
Plugging in the values:
Cash from Operations = $200 + $10 - $70
Cash from Operations = $140.
So, cash from operations is $140.
Cash from operations can be calculated by adding non-cash items such as depreciation and subtracting changes in working capital.
This means that the company generated $140 in cash from its operations during the given period. It is important to understand the cash from operations as it represents the cash generated from the day-to-day operations of the business and provides an indication of its ability to generate cash in the future.
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during summer break, jamie's family went camping in the mountains. there were no roads to their camp, 8 miles away, and it took them about 4.5 hours to reach the campsite on foot. did jamie's family stop to rest during the trip? how can you tell from the data?
It is highly likely that Jamie's family stopped to rest during their 4.5 hour trip to the campsite in the mountains. As their average speed was 1.78 miles per hour, which is slower than the average walking speed, it is likely that Jamie's family stopped to rest during their trip to the mountain campsite.
Walking 8 miles is not an easy feat, especially in a mountainous area where the terrain can be challenging and the altitude can make it harder to breathe. It is natural to feel fatigued and need to take breaks during such a trip.
camping trips often involve carrying heavy backpacks and other gear, which can make the journey even more strenuous. Jamie's family would likely need to take breaks to catch their breath and rest their muscles along the way. It is also possible that they stopped to enjoy the scenery or have a snack.
Therefore, it is highly probable that Jamie's family stopped to rest during their 4.5 hour trip to the campsite in the mountains. Walking 8 miles in a mountainous area is a challenging task, and breaks are necessary to ensure that the family arrives at the campsite safely and without any injuries or exhaustion.
During their summer break, Jamie's family took a trip to go camping in the mountains. They had to hike 8 miles to reach their campsite, as there were no roads available. The journey took them about 4.5 hours to complete on foot. Based on the given data, it is possible that Jamie's family stopped to rest during the trip.
calculate their speed, divide the distance (8 miles) by the time taken (4.5 hours):
8 miles / 4.5 hours = 1.78 miles per hour.
As their average speed was 1.78 miles per hour, which is slower than the average walking speed, it is likely that Jamie's family stopped to rest during their trip to the mountain campsite.
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how to find square root
Finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.
Finding the square root of a number involves determining the value that, when multiplied by itself, gives the original number. Here are a few methods to find the square root:
Prime Factorization: This method involves breaking down the number into its prime factors. Pair the factors in groups of two, and take one factor from each pair. Multiply these selected factors to find the square root. For example, to find the square root of 36, the prime factors are 2 * 2 * 3 * 3. Taking one factor from each pair (2 * 3), we get 6, which is the square root of 36.
Estimation: Approximate the square root using estimation techniques. Find the perfect square closest to the number you want to find the square root of and estimate the value in between. Refine the estimate using successive approximations if needed. For example, to find the square root of 23, we know that the square root of 25 is 5. Therefore, the square root of 23 will be slightly less than 5.
Using a Calculator: Most calculators have a square root function. Simply input the number and use the square root function to obtain the result.
It's important to note that finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.
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Based on the information provided, we have the following:
An equation which represents a line that is perpendicular to line MN is: D. y = 4x - 6. If Lucy needs 20 skeins of yarn to finish the blanket, the amount of money it would cost is: C. $70.Given the following points:
Point N = (5, 3)
Point M = (-7, 6)
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
Substituting the given parameters into the formula, we have;
Slope, m = (6 - 3)/(-7 -5)
Slope, m = 3/-12
Slope, m = -1/4
For perpendicularity, we have:
m₁ × m₂ = -1
-1/4 × m₂ = -1
m₂ = 4
At point (-7, 6), an equation which represents a line that is perpendicular to line MN is given by:
y = mx + c
y = 4x - 6
How to determine the cost?Since 2 skeins of yarn cost $7 while 8 skeins of yarn cost $28 and she only needs 20 skeins of yarn, the total amount of money which Lucy would have to spend to knit her blanket is given by:
Total cost = 2(7 + 28)
Total cost = 2(35)
Total cost = $70.
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Complete Question:
Which equation represents a line that is perpendicular to line MN?
A: y=-1/4x+9
B: y=1/4x+6
C: y=-4x-7
D: y=4x-6
Question 2.
Lucy is knitting a blanket and needs to buy some yarn. At her local craft store, 2 skeins of yarn cost $7 and 8 skeins of yarn cost $28. If Lucy needs 20 skeins of yarn to finish the blanket, how much money will it cost?
A. $49
B. $56
C. $70
D. $140
Use the distributive property to write the following expression in an equivalent form: (12•5) + (12•10)
Answer:
180
Step-by-step explanation:
60+12×10
60+120
180
Several business partners have access to a safe where they keep their savings. One night Bill took $9.50 from the safe. Chris deposited four times as much as Larry did, Larry deposited twice the amount that Bill took, Melinda took half the amount that Chris deposited, Eddie took $9.50 less than Melinda how much did the amount in the safe increase or decrease overall in one night?
Based on the information given in the problem, if you consider deposits as positive numbers and extractions as negative ones, you have the following expressions:
- Bill took $9.50
- 9.50
- Larry deposited twice the amount Bill took:
2*(9.50) = +19.00
- Chris deposited four times as much as Larry did:
4*(19.00) = +76.00
- Melinda took half the amount that Chris deposited:
- 1/2 * (76.00) = - 38.00
- Eddie took 9.50 less than Melinda:
- ( 38.00 - 9.50) = - (28.50) = -28.50
Then, by considering the signs of the different amounts of money you obtain:
-9.50 + 19.00 + 76.00 - 38.00 - 28.50 = 19.00
Hence, you can conclude that the amount of money in the safe increases by $19.00
do they have help and do they give tution
Answer:
Making Your Case. Outline the reasons why you need tuition assistance in the opening body of your letter. Be specific about why you need additional help paying for your college tuition. For example, explain that you care for a sick or disabled family member or that you've recently lost your job and don't have income.
How do I ask for tuition discount?
You can simply ask whether the school has additional financial aid and/or tuition discounts available. To find out which method may be most advantageous, speak to your college's financial aid office or bursar office to determine their preferred methods, and start from there.
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thank you
I'll give you brainlist if u help :)A certain culture of yeast increases by 50% every three hours. A scientist places 9 grams of the yeast on a culture dish. write the explicit and recursive formulas for the geometric sequences formed by the growth of the yeast.
Answer:
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Answer:
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14. A random sample of 25 seventh graders found
that 10 enjoy participating in a local contest
making duct-tape wallets.
a. If there are 480 seventh graders, write a
proportion to estimate the number of seventh
graders, n, who participate in the contest.
b. Solve the proportion to estimate the number
of seventh graders who participate in the
contest.
c. Write and solve a proportion to estimate the
number of seventh graders, n, who do not
participate in the contest.
The proportion to estimate the number of seventh graders, n, who participate in the contest.
a . 10/25 = x/480
b. 192 seventh graders participate in the contest.
c. 288 seventh graders do not participate in the contest.
What is the proportion to estimate the number of seventh graders?a. We can write a proportion to estimate the number of seventh graders, n, who participate in the contest as:
10/25 = x/480
where x is the unknown number of seventh graders who participate in the contest.
b. To solve the proportion, we can cross-multiply to get:
10 * 480 = 25 * x
Simplifying the right-hand side:
4800 = 25x
Dividing both sides by 25, we get:
x = 192
Therefore, we estimate that 192 seventh graders participate in the contest.
c. We can write a proportion to estimate the number of seventh graders, n, who do not participate in the contest as:
(25-10)/25 = y/480
where:
y is the unknown number of seventh graders who do not participate in the contest.
Simplifying the left-hand side:
15/25 = y/480
Cross-multiplying:
15 * 480 = 25 * y
Simplifying the left-hand side:
7200 = 25y
Dividing both sides by 25:
y = 288
Therefore, we estimate that 288 seventh graders do not participate in the contest.
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please help ASAP ...
Answer:
52%
Step-by-step explanation:
I am assuming it asking what is the chance a boy is picked.
13+12 = 25 total kids
100/25 = 4% chance for each kid to be picked
13 boys x 4 % = 52% chance for a boy to be picked.
Which student walked at the fastest rate down the hallway?
6th grader: Walked 120 feet in
15 seconds
7th grader:walked 100 feet in 10 seconds
8th grader: Walked 180 feet in 20 secs
Answer:
8th grader
Step-by-step explanation:
They walked the the fastest since they walked 50 feet more than the 6th grader in 5 more seconds ( im sorry if you dont understand! i tried my best explaining it! hope this helps :) )
Find the equation of a line parallel to
y-3 = - 3/2x that passes through the
point (4, -5).
a. 3x+2y=2
b. y=3/2x+1
c. y=-2/3x-3
d. -2x+3y=-23
Answer:
b. y = -3/2x + 1
Step-by-step explanation:
A parallel line has the same slope as the line in question. The only difference is the y-intercept, which you calculate by plugging in the given point.
The original line: y = -3/2x + 3
The parallel line: -5 = -3/2(4) + y-intercept
-5 = -6 + y-intercept. So, y-intercept = 1
This means that the parallel line is b, y = -3/2x + 1.
Answer:
mine is correct
Given
a line is giving as
y-3=3/2x
and the point is(4-5)
To Find
the equation of the line parallel line (I) and passing through the point (4-5)
Explanation
let. be the equation of the required line be
y=mx+c
since it is parallel to equation o
m=3/2
hence the equation of the required line is
y= -3/2X+X
since it passes through the point (4-5)
-5=-3/2×4+c
=C=1
thus the equation of the required line is
y= -3/2x+1
=y+3/2x=1
=2y+3x=2
=3x+2y=2
therefore the correct option is (a)
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write the decimal as a fraction
Answer:
\(\frac{62}{99}\)
Step-by-step explanation:
We require 2 equations with the repeated digits placed after the decimal point.
let x = 0.6262..... (1) Multiply both sides by 100
100x = 62.6262.... (2)
Subtract (1) from (2) thus eliminating the repeated digits
99x = 62 ( divide both sides by 99 )
x = \(\frac{62}{99}\)
Then 0.6262... = \(\frac{62}{99}\)
Which expression has the same value as -18+(-9)?
-18-2
-12+(-3)
-10-5
O-8(-4)
Answer:
None
Step-by-step explanation:
-18-2 would be equal to -20
-12+(-3) would be equal to -15
-10-5 would be equal to -15
0-8(-4) would be equal to 32
Is that the letter "O" or the number "0"?
Is all of this information given to you for this question here?
Nai'a drives from her home to the North Shore in 2 hours. After surfing for 3 hours, she returns home at a rate of 20 mph less than her rate going. If Nai'a is gone a total of 8 hours, how fast did she drive each way?
Answer:
60 mph going, 40 mph coming
it takes her 3 hours to get back
60 mph for 2 hours is 120 miles
40 mph for 3 hours is 120 miles.
How many solution exist for the system of equations below? 3x+y=18
3x+y=16
Answer: The system of equations is:
3x + y = 18
3x + y = 16
To determine how many solutions this system has, we can subtract the second equation from the first:
(3x + y) - (3x + y) = 18 - 16
0 = 2
This is a contradiction, since 0 can never be equal to 2. Therefore, there are no solutions to this system of equations. Geometrically, these two equations represent two parallel lines in a coordinate plane that never intersect, so there is no point that satisfies both equations at the same time.
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is 10x – 4y = 24.
Fully reduce your answer.
Answer:
The slope of the line is ⁵/₂.
Step-by-step explanation:
Given;
equation of one of the parallel lines, 10x – 4y = 24.
let the slope of the parallel lines = m, since two parallel lines have equal slopes.
Then slope of the given equation which one of the parallel lines is calculated as;
10x – 4y = 24
4y = 10x - 24
divide through by "4'
\(\frac{4y}{4} = \frac{10x}{4} - \frac{24}{4} \\\\y = \frac{5x}{2} - 6\)
the slope , m is the coefficient of x, = ⁵/₂ (when compared to y = mx + c)
Therefore, the slope of the line is ⁵/₂.
what is the slope of the line that passes through the points (8,2) and (10,2)
make g the subject of the formula in w = 7 - sqrt g
Answer: g = w² - 14w + 49
\(w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\<=>g=(7-w)^{2}=49-14w+w^{2}\)
Step-by-step explanation:
Construct a confidence interval for μ assuming that each sample is from a normal population. (a) x
ˉ
=28,σ=4,n=11,90 percentage confidence. (Round your answers to 2 decimal places.) (b) x
ˉ
=124,σ=8,n=29,99 percentage confidence. (Round your answers to 2 decimal places.)
The confidence interval in both cases has been constructed as:
a) (26.02, 29.98)
b) (120.17, 127.83)
How to find the confidence interval?The formula to calculate the confidence interval is:
CI = xˉ ± z(σ/√n)
where:
xˉ is sample mean
σ is standard deviation
n is sample size
z is z-score at confidence level
a) xˉ = 28
σ = 4
n = 11
90 percentage confidence.
z at 90% CL = 1.645
Thus:
CI = 28 ± 1.645(4/√11)
CI = 28 ± 1.98
CI = (26.02, 29.98)
b) xˉ = 124
σ = 8
n = 29
90 percentage confidence.
z at 99% CL = 2.576
Thus:
CI = 124 ± 2.576(8/√29)
CI = 124 ± 3.83
CI = (120.17, 127.83)
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(x+3)^n+1=(x+3)^n+11
Answer:
No solution to any of the variables or equation
Step-by-step explanation:
What is the area of EFG? ILL GIVE BRAINLIEST!!!!
Answer:
36
Step-by-step explanation:
8*9=72 72/2=36
The following data points represent the number of remote controllers each student in Tria's video game club owns.
Answer 2 questions about the data set.
1. Sorting the data:
0, 0, 0, 1, 2, 2, 4, 5, 7, 8, 10
2. IQR of the data set is: 7
Define interquartile range?The range of values in the middle of the scores is referred to as the interquartile range, or IQR. The interquartile range is the appropriate measure of variability when a distribution is skewed and the median rather than the mean is utilised to demonstrate a central tendency.
Here in the question,
1. We have to arrange the given set of data from least to greatest as follows:
0, 0, 0, 1, 2, 2, 4, 5, 7, 8, 10
2. Lower half of data:
0, 0, 0, 1, 2
Upper half of data:
4, 5, 7, 8, 10
Interquartile range = 7 - 0
= 7.
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Please help, thank you!
Suppose a Cobb-Douglas Production function is given by the following: P(L,K)=50L 0.75K 0.25
where L is units of labor, K is units of capital, and P(L,K) is total units that can be produced with this labor/capital combination. Suppose each unit of labor costs $400 and each unit of capital costs \$2,400. Further suppose a total of $576,000 is available to be invested in labor and capital (combined). A) How many units of labor and capital should be purchased to maximize production subject to your budgetary constraint? Units of labor, L= Units of capital, K= B) What is the maximum number of units of production under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production = units
a). To maximize production within the budget, 600 units of labor and 100 units of capital should be purchased. b). The maximum production under the budgetary constraint is approximately 8,366 units.
a). To maximize production, we need to allocate the budget efficiently between labor and capital. We can calculate the number of units of labor and capital by dividing the budgeted amount by the cost per unit. The budget of $576,000 divided by the cost of labor per unit ($400) gives us 1,440 units of labor. Similarly, dividing the budget by the cost of capital per unit ($2,400) gives us 240 units of capital. However, this allocation does not maximize production within the budgetary constraint.
b). To find the optimal allocation, we can use the partial derivatives of the production function with respect to L and K. Taking the partial derivative of the production function with respect to L, we get 37.5L^(-0.25)K^0.25. Equating this to the budgeted amount of labor (600 units), we can solve for K, which comes out to be 100 units. Similarly, by taking the partial derivative of the production function with respect to K, we get 12.5L^0.75K^(-0.75). Equating this to the budgeted amount of capital (100 units), we can solve for L, which comes out to be 600 units.
By substituting these values into the production function, we can calculate the maximum number of units of production, which is approximately 8,366 units.
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what is the equation of the line that passes through the point (-2,-6) and has a slope of -1/2
Answer:
y=-1/2x-7
Step-by-step explanation:
y-y1=m(x-x1)
y-(-6)=-1/2(x-(-2))
y+6=-1/2(x+2)
y=-1/2x-2/2-6
y=-1/2x-1-6
y=-1/2x-7
Calculate the difference in the proportion of males and the proportion of females that smoke. Give your answer to 2 decimal places
The difference in the proportion of males and the proportion of females that smoke is 0.08
Missing informationIn a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.
How to determine the proportion difference?The given parameters are:
Male Female
Sample 61 48
Smokers 15 8
The proportion is calculated using:
p = Smoker/Sample
So, we have:
Male = 15/61 = 0.25
Female = 8/48 = 0.17
The difference is then calculated as:
Difference = 0.25 - 0.17
Evaluate
Difference = 0.08
Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08
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Match the following scale factors to the type of dilation that will occur:
Column A
1.
-4.875:
½:
3.2:
-0.457:
Column B
a. Opposite Side/Expansion
b. Not a Dilation
c. Opposite Side/Contraction
d. Same Side/Contraction
e. Same Side/Expansion
The scale factors given in Column A correspond to different types of dilation, with -4.875 corresponding to opposite side contraction, ½ and 3.2 corresponding to same side expansion, and -0.457 corresponding to same side contraction.
Explain the scale factors to the type of dilation that will occur?
A dilation is a transformation that increases or decreases the size of an item. When a dilation occurs, the size of the object either expands or contracts. The scale factor determines the amount by which the object changes size. In this case, the four scale factors provided in column A correspond to different types of dilation.
The scale factor of -4.875 corresponds to an opposite side contraction, meaning that the object becomes smaller and its sides move away from the center of dilation. The scale factor of ½ corresponds to a same side expansion, meaning that the object becomes larger and its sides move towards the center of dilation. The scale factor of 3.2 also corresponds to a same side expansion, and the scale factor of -0.457 corresponds to a same side contraction, meaning that the object becomes smaller and its sides move towards the center of dilation.
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Which of the following arithmetic operations would be best used to solve the system of
equations by elimination?
7x - 2y = 8
>
5x + 2y = 4
addition
subtraction
multiplication
division
20 Of 22
you must use addition method