Answer:
Step-by-step explanation:
=-0.625a-2.8b
Sheila put $350 in a savings account for 1 year. The annual interest rate was 3% per year.
a) How much simple interest did the money earn her in 1 year?
b) How much money was in the account after 1 year?
Please answer fast and show how u got the answer step by step thank u
The simple interest was $10.5 and the amount after 1 year would be $360.5 in her account.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
We have been given data as
Principal amount (P) = $350
Time (T) = 1 year
The rate of interest (R) = 3%
Simple interest= P × R × T
Simple interest = 350 × 3/100 × 1
Simple interest = $10.5
So the amount after 1 year would be P + S.I. = 350 + 10.5 = $360.5
Therefore, the simple interest would be $10.5 and the amount after 1 year would be $360.5.
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10. Linda Stevens was recently promoted from Accounts Payable Clerk to Accounting Specialist. Previously, she earned $10.50 per hour for a standard 40-hour week. She will now be paid a biweekly salary of $1,100. How much more will Linda earn annually in her new position?
Answer:
$6,760
Step-by-step explanation:
With $10.50 per hour and 40 hour weeks.
$10.50 * 40 = $420
So Linda made $420 a week and with 52 weeks in a year.
$420 * 52 = $21,840
She made $21,840 annually at her old job.
With a bi-weekly salary she makes $1,100 every 2 weeks.
There are 52 weeks in a year, so divide that by 2 to get 26 bi-weeks thus 26 pay periods a year.
$1,100 * 26 = $28,600
or divide $1,100 in half ($1,100 / 2 = $550)
$550 * 52 = $28,600
Now find the difference by subtracting the new pay rate by the old one. (Subtract the old from the new one, if you prefer that phrasing.)
$28,600 - $21,840 = $6,760
So Linda's new job pays $6,760 more than her old one.
Two points are g phedo the comdinate plane.
2
-1
-6
-5
-4
-3
-2
1
2
>
4
1 a
-1
S
6
7
-2
-3
A А
4
--5
-6
-7 기
-8
9
B
-10)
What is the distance between the two points? Enter the answer in the box
units
< Previous
Answer:
b
Step-by-step explanation:
yp
Answer:
huh
Step-by-step explanation:
identify the solution of the inequality −3|n 5| ≥ 24 and the graph that represents it.
To solve the inequality −3|n - 5| ≥ 24, we can break it down into two cases: when the expression inside the absolute value is positive and when it is negative.
Case 1: n - 5 ≥ 0
In this case, the absolute value becomes n - 5, so we have:
-3(n - 5) ≥ 24
Simplifying the inequality gives:
-3n + 15 ≥ 24
-3n ≥ 9
Dividing both sides by -3 (and flipping the inequality sign):
n ≤ -3
Case 2: n - 5 < 0
In this case, the absolute value becomes -(n - 5), so we have:
-3(-(n - 5)) ≥ 24
Simplifying the inequality gives:
3n - 15 ≥ 24
3n ≥ 39
Dividing both sides by 3:
n ≥ 13
Combining the solutions from both cases, we find that the solution to the inequality is n ≤ -3 or n ≥ 13. This means n can be any value less than or equal to -3 or any value greater than or equal to 13.
As for the graph representing the solution, it would be a number line with a closed circle at -3 (indicating that it includes -3) and an open circle at 13 (indicating that it does not include 13). The area between -3 and 13 is shaded to represent the values that satisfy the inequality.
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Two times the quantity
three more than x is nine
Answer:
X = 1.5 if that is your question
Step-by-step explanation:
Which points are coplanar and non ol linear
Answer:
COPLANAR:Point A, C and D
NON- COLLINEAR:Point B
Step-by-step explanation:
\({hope it helps\)
Two numbers have a sum of 139 and a difference of 31. What are the two numbers?
Answer:
Thus, one of the numbers is 85
Step-by-step explanation:
Answer:
Step-by-step explanation:
suppose we observe an unending sequence of days on which the umbrella appears. show that, as the days go by, the probability of rain on the current day increases monotonically towared a fixed point. calculate this fixed point.
The computed probability is computed as <0.8967, 0.1033> which shows that as the days 90 by, the probability of rain on the current day increases monotonically towards a fixed point.
Chance is the branch of arithmetic concerning numerical descriptions of how probable an event is to occur, or how probable it is that a proposition is proper. The chance of an event is a range between zero and 1, wherein, roughly speaking, 0 indicates the impossibility of the occasion and 1 shows actuality. The higher the chance of an occasion, the much more likely it's miles that the event will occur. A simple example is the tossing of a truthful (impartial) coin. because the coin is truthful, the two outcomes ("heads" and "tails") are both similarly possible; the chance of "heads" equals the possibility of "tails"; and on account that no different effects are feasible, the possibility of either "heads" or "tails" is half off (that could additionally be written as zero.5 or 50%).
these standards had been given an axiomatic mathematical formalization in chance ideas, that are used extensively in areas of observation which include records, arithmetic, technology, finance, gambling, artificial intelligence, gadget studying, computer science, sport idea, and philosophy, for example, draw inferences about the expected frequency of events. possibility concept is likewise used to describe the underlying mechanics and regularities of complex structures.
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Which of the following variable expressions represents the phrase "five more than the quotient of a number x and eight"?
The variable expression is;
\(5\text{ + }\frac{x}{8}\)Here, we want to select an option that represents the phrase
The quotient of a number x and 8 means that we divide x by 8
That means we have a fraction, with x as the numerator and 8 as the denominator
We have this as;
\(\frac{x}{8}\)5 more than this quotient means that we are to add 5 to the result
We have this as;
\(5\text{ + }\frac{x}{8}\)A 37- by 23-in. jaw crusher is set to operate with a 2½ in. opening. The output from the crusher is discharged onto a screen with 1½-in. openings. The efficiency of the screen is 85%. The aggregate that does not pass through the screen goes to a 40- by 22-in. roll crusher set at 1½ in. Determine the maximum output of the roll crusher in tons per hour for material less than 1 in. There will be no recycle of roll crusher oversize. What amount, in tons per hour, of the roll crusher output is in the range of 1 in. to ½ in., and what amount is less than ½ in.?
The maximum output of the roll crusher in tons per hour for material less than 1 in. is 40 tons per hour. The amount of the roll crusher output in the range of 1 in. to ½ in. is 20 tons per hour, and the amount less than ½ in. is 10 tons per hour.
To determine the maximum output of the roll crusher, we need to consider the size reduction process and the efficiency of the screen.
Maximum Output of the Roll Crusher: The jaw crusher has a 2½ in. opening, and the screen has 1½-in. openings. Therefore, the maximum size of the material entering the roll crusher is 1½ in. Since the roll crusher is set at 1½ in., it can effectively crush the material to a size less than 1 in. without any recycle of oversize material.
The efficiency of the screen is given as 85%, which means that 85% of the material passing through the jaw crusher will pass through the screen and the remaining 15% will go to the roll crusher.
The maximum output of the roll crusher can be calculated as follows: Maximum Output = (Output from Jaw Crusher) x (Efficiency of Screen) = (40 in. x 22 in.) x (85%) = 880 in.^2 x 0.85 = 748 in.^2
Since the roll crusher is set at 1½ in., the maximum output in tons per hour can be calculated using the following formula: Maximum Output (tons per hour) = Maximum Output (in.^2) x Roll Crusher Setting (in.) x Roll Crusher Efficiency (tons per in.^2) = 748 in.^2 x 1.5 in. x 40 tons per in.^2 = 44,880 tons per hour ≈ 40 tons per hour
Amount of Roll Crusher Output: To determine the amount of roll crusher output in the range of 1 in. to ½ in. and less than ½ in., we need to consider the size reduction process and the size of the roll crusher setting.
Since the roll crusher is set at 1½ in., the amount of roll crusher output in the range of 1 in. to ½ in. can be calculated as follows: Amount in Range (1 in. to ½ in.) = Maximum Output (tons per hour) x Roll Crusher Setting Range Efficiency = 40 tons per hour x (1 - 0.85) = 40 tons per hour x 0.15 = 6 tons per hour
The amount of roll crusher output less than ½ in. can be calculated as follows: Amount less than ½ in. = Maximum Output (tons per hour) x (1 - Roll Crusher Setting Range Efficiency) = 40 tons per hour x (1 - 0) = 40 tons per hour
The maximum output of the roll crusher in tons per hour for material less than 1 in. is 40 tons per hour. The amount of the roll crusher output in the range of 1 in. to ½ in. is 6 tons per hour, and the amount less than ½ in. is 40 tons per hour.
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What is the area of a square that has sides 8 centimeters in length?
Answer:
64 cm^2
Step-by-step explanation:
Area of square = S^2
We know the square has sides of 8cm.
So, we take
8 x 8 = 64cm^2
So, the area of the square is 64cm^2
The set of measurements collected for a particular element is called:
a. census
b. variables
c. observations
d. samples
Observations are the collection of measurements made for a specific element. Observations are typically collected from a sample of data, which are then used to measure particular variables. This information is then used to make inferences about a larger population, often referred to as a census.
A set of measurements collected for a particular element is called observations. Observations are typically generated from a sample of data which is then used to measure particular variables. Variables are measurable characteristics which can be observed and measured. For example, a variable can be a person’s age, height, or gender. The data collected from these variables are then used to make inferences about a larger population, such as a census. A census is a complete count of a population, which may be used to measure the characteristics of a population or to make estimates about a population. Observation data is used to make inferences about a larger population and is used to make decisions or draw conclusions about a particular element. This data is often used in research, policy making, and decision-making.
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For positive acute angles A and B it is known that sinA= 35/37 and tanB= 7/24. find the value of (A-B)
Answer:
54.8° to the nearest tenth of a degree
Step-by-step explanation:
m∠A = arcsin 35/37 = 71.075...
m∠B = arctan 7/24 = 16.2602...
m∠A - m∠B = 71.075 - 16.260 = 54.8° to the nearest tenth of a degree
Let X be a continuous random variable with PDF:
fx(x) = \begin{Bmatrix} 4x^{^{3}} & 0 < x \leq 1\\ 0 & otherwise \end{Bmatrix}
If Y = 1/X, find the PDF of Y.
If Y = 1/X, find the PDF of Y.
Since Y = 1/X, then X = 1/Y. The PDF of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to z of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to zero.
The PDF of X is given by fx(x) = { 4x³, 0 < x ≤ 1}When 0 < Y ≤ 1, the values of X would be 1/Y < x ≤ ∞ .Thus, the PDF of Y, g(y) would be g(y) = fx(1/y) × |dy/dx| where;dy/dx = -1/y², y < 0 (since X ≤ 1, then 1/X > 1). The absolute value is used since the derivative of Y with respect to X is negative. Note that;g(y) = 4[(1/y)³] |-(1/y²)|g(y) = 4/y⁵ , 0 < y ≤ 1. The PDF of Y is 4/y⁵, where 0 < y ≤ 1. When Y < 0 or y > 1, the PDF of Y is equal to zero. The above can be verified by integrating the PDF of Y from 0 to 1.
∫ g(y) dy = ∫ 4/y⁵ dy, from 0 to 1∫ g(y) dy = (-4/y⁴) / 4, from 0 to 1∫ g(y) dy = -1/[(1/y⁴) - 1], from 0 to 1∫ g(y) dy = -1/[(1/1⁴) - 1] - (-1/[(1/0⁴) - 1])∫ g(y) dy = -1/[1 - 1] - (-1/[(1/0) - 1])∫ g(y) dy = 1 + 1 = 2. From the above, it can be observed that the integral of g(y) is equal to 2, which confirms that the PDF of Y is valid. The PDF of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to zero.
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what is the probability that either event a and event b will occur? a; 3/19 b; 2/19 middle 10/19 1outside near a 4/19
The probability that either Event A and Event B occur can be determined by calculating the sum of their individual probabilities minus the probability that both events occur simultaneously.
Let's find the probability that Event A occurs first: P(A) = 3/19Next, let's determine the probability that Event B occurs: P(B) = 2/19The probability that both Event A and Event B occur simultaneously can be found as follows: P(A and B) = Middle 10/19Therefore, the probability that either.
Event A or Event B occur can be calculated using the following formula: P(A or B) = P(A) + P(B) - P(A and B)Substituting the values from above, we get:P(A or B) = 3/19 + 2/19 - 10/19P(A or B) = -5/19However, this result is impossible since probabilities are always positive. Hence, there has been an error in the data provided.
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! Find the Length of AB
x = 7
hope it helps...!!!
I NEED HELP PLZ ANSWER CORRECTLY!!!!!!
(a,b) (less, greater)
Answer: The diameter of Pool A is 7.32 meters. So, the diameter of Pool B is greater, and the circumference is greater by 0.56 meters.
Step-by-step explanation:
The diameter of a circle is double its radius.
Pool A has a radius of 12 feet - double that would be 24 feet, its diameter.
Next, convert this to meters:
\(24 * \frac{0.305}{1} = 7.32\)
The diameter of pool A is 7.32 meters.
The diameter of pool B is 7.5 meters.
The diameter of pool B is greater.
You can calculate the circumference of a circle by using this formula:
\(C = 2\pi r\), where r is the radius.
Divide 7.5 by 2 to get your radius of Pool B, which is 3.75, and solve for C:
\(C = 7.5\pi \\\\C = 23.561\)
Rounding to the nearest hundredth, the circumference for pool B is 23.56 meters.
Do the same thing for pool A:
\(C = 7.32\pi \\\\C = 22.996\)
Circumference for pool A rounds to 23 meters.
Answer:
the diameter of pool a is 24. so, the diameter of pool b, is greater, and idk the rest
How can you be a real hero in your own simple way paragraph?
Being your own hero means stepping up to the plate and giving it your all. Aiming to be a hero in your own life entails leading by example, acting with conviction, and living a purposeful life (most superheroes have side-kicks, henchmen, fans, or followers).
Being reliable and possessing high moral standards are essential qualities for a hero (sense of right and wrong). A personal hero can be genuine, imaginary, alive, or dead. If you don't already have one, you can make one based on the traits other people have that you admire or wish you had.
Another important quality of a hero is courage. Being independent, addressing your concerns, and being willing to take risks are all characteristics of a courageous person.
Heroes are upbeat and avoid dwelling on the bad because if they did, they wouldn't have the energy to save people. Heroes have self-confidence and believe they are capable of facing any challenge. Self-esteem and general life satisfaction can both rise as a result of positive thinking.
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Spongebob and Patrick will be renting paddleboards while on vacation. Shop A rents
paddleboards for $7.75 per hour. Shop B's prices are shown on the poster to the right.
Which shop offers a cheaper hourly rental rate? Explain your answer using numbers and
words. *
Answer:
shop B
Step-by-step explanation: 3.80*2=7.6
find f(18) when using the function f(x)=6x+57
A number is written with 10 zeros, 10 ones and 10 twos. Is it possible for it to be a perfect square ? Please help. I don’t understand how to solve this...
Answer:
i am going to help you to understand this problem. if it is written with 10 0s it will be the billion place. because of the ten ones it will be 0,000,010, and because of the ten two's, which is 20, it will be 0,000,030. and when i searched up on google, and watched an episode of number blocks, no, 30 is not a square number OR a cube number.
Step-by-step explanation:
in analysis of variance, what is measured by the ms values? group of answer choices population variance. the average distance from one mean to another. the total variability for the set of n scores. sample variance
In analysis of variance, sample variance is measured by an MS value.
The variability in a particular sample is determined using sample variance. A sample is a collection of observations taken from a population that can accurately reflect the entire population. The sample variance is calculated in relation to the data set mean. Additionally called the estimated variance.
Due to the fact that data can be grouped or ungrouped, there are two formulas available to determine the sample variance. The sample standard deviation is also produced by taking the square root of the sample variance. The spread of the data points in a particular data set around the mean is measured using sample variance.
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PLSSSS HELP
Find the intersection of the circle x^2+ y^2 = 29 and y = x - 3 algebraically,
A food distribution company has employees that order food supplies for local restaurants by predicting sales. It is important that the employees order the correct amount of food. If they order too much, the food will spoil. If they don’t order enough, the restaurant will not get the food they need. The company pulls an SRS of 500 orders and finds that 408 of the orders were correct. Calculate and interpret a 95% confidence interval for the proportion of all orders that were correct.(4-step process)
Statistics 7.3
Answer:
A food distribution company has employees that order food supplies for local restaurants by predicting sales. It is important that the employees order the correct amount of food. If they order too much, the food will spoil. If they don’t order enough, the restaurant will not get the food they need. The company pulls an SRS of 500 orders and finds that 408 of the orders were correct. Calculate and interpret a 95% confidence interval for the proportion of all orders that were correct.(4-step process)
Statistics 7.3
Help anyone????????????
Answer:
A new car would cost 400$
If 140$ is 35% of the price of a new car then all we need to do is find how much 1% of that new car is
35%:140$
divide by 35 on each side
1%:4$
If 1% is 4$ then 100% is 400$
Hope this helped
Step-by-step explanation:
What is the mean of the given distribution, and which type of skew does it exhibit?
Since 3 has the highest frequency, the mode is 3.Now, the curve is positively skewed if mean is bigger than mean.
Describe total number?Total number is a term used to refer to the sum of two or more individual elements. It is commonly used in the context of mathematics and can refer to the result of addition, subtraction, multiplication, or division. For example, the total number of apples in a basket could be five, the total number of days in a week could be seven, and the total number of people in a family could be four. In any case, the total number is the sum of all the individual elements that are being considered.
Presented to us is a distribution:
{4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}
We must determine the mean.
Mean is equal to the sum of all observations divided by the total number of observations.
Mean = 52/16
Mean = 3.25
We now determine the mode, which is the observation with the highest frequency, or how frequently it has occurred.
observations per unit of time
4.5 2
3 4
1 2
2 3
4 3
6 1
5 1
Since 3 has the highest frequency, the mode is 3.
Now, the curve is positively skewed if mean is bigger than mean.
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Complete questions as follows-
What is the mean of the given distribution, and which type of skew does it exhibit?
{4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}
WHAT IS THE MEAN? and WHAT TYPE OF SKEW EXHIBITS? negative, positive, symmetric, zero etc..
{ASAP}
Polygon ABCD with vertices at A(1, −1), B(3, −1), C(3, −2), and D(1, −2) is dilated to create polygon A′B′C′D′ with vertices at A′(2, −2), B′(6, −2), C′(6, −4), and D′(2, −4). Determine the scale factor used to create the image.
3
2
1/2
1/3
4x - 7y = -40
3x - 2y = -4
How long would it take R20000 invested today at a simple interest rate of 9% p.a. to reach an investment goal of R30000.
A Approximately 5.6 years
B Approximately 6.1 years
C Approximately 4.7 years
D Approximately 5.1 years
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)
Can someone plz help me!?