Step-by-step explanation:
The equation for simple interest is
interest = p r t p = principal = $ 5000 r = decimal interest t = years
interest = $ 5000 * .02 * 2 = $ 200
A container is 60% filled with oil. the container holds 1710 liters of oil. how many liters of lil are needed to fill the container to the top
Answer:
1140 liters.
Step-by-step explanation:
We need 40% to top it up.
60 % = 1710
1% = 1710 / 60
40% = (1710/60) * 40
= 1140 liters.
Solve for x.
Show work
Answer:
x=11.34
Step-by-step explanation:
Evaluate.
4!6!
215!
Simplify your answer as much as possible.
The value of 4!6! when computing permutations and combination will be 17280.
How to illustrate the information?It should be noted that the question that's illustrated in this case is about permutations and combination.
Therefore, the analysis of 4!6! will be:
4! = 4 × 3 × 2 × 1 = 24
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
4!6! = 24 × 720 = 17280
Therefore, the value of 4!6! when computing permutations and combination will be 17280.
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Josiah ate dinner at a restaurant and his bill was $15.75. He wanted to leave a 15% tip. How much tip did he leave?
Group of answer choices
$2.36
$18.11
$1.50
$0.15
Hence, He had to pay $ 18.11 for the tip on a restaurant bill.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Josiah ate dinner at a restaurant and his bill was $15.75,
He wanted to leave 15% tip,
Then He had to pay,
=15.75+15 % of 15.75
=15.75 + 0.15*15.75
=18.11
Hence, He had to pay $ 18.11 for tip on the restaurant bill.
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Can someone help me out, please.......
Answer:
i am thinking it is 0 (if i get it wrong i am sorry)
Step-by-step explanation:
The median player salary for the Dallas Cowboys was $348,000 in 2004 and $555,000 in 2013.
Write a linear equation giving the median salary y in terms of the year x. Then use the equation to predict the median salary in 2019.
Answer:
Y =23,000X -4,5744,000
in 2019 = $693,000
Step-by-step explanation:
x1 y1 x2 y2
2004 348000 2013 555000
(Y2-Y1) (555000)-(348000)= 207000 ΔY 207000
(X2-X1) (2013)-(2004)= 9 ΔX 9
slope= 23000
B= -45744000
Y =23000X -45744000
4.1 Draw the four different views of the object, as indicated below, on square grid paper. Left Back Front Right
Remember to make use of the grid paper to maintain accuracy and proportionality across all four views.
Certainly! Below is a verbal description of how you can draw the four different views of the object on square grid paper:
Left View: Start by drawing the left side of the object as you would see it from a leftward perspective.
Capture its shape, height, and any visible features. Use the grid lines to maintain proportion and accuracy.
Back View: Move to the back of the object and draw what you see from that viewpoint.
Focus on its rear-facing details, contours, and any distinguishing characteristics. Utilize the grid paper to ensure proper alignment.
Front View: Now, face the object directly and draw its front view. Pay attention to its overall shape, dimensions, and any frontal features or patterns.
Utilize the grid lines to maintain symmetry and precision.
Right View: Finally, position yourself on the right side of the object and draw its appearance from that angle.
Portray the right-facing side, capturing its unique attributes and maintaining consistency with the previous views.
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The graph and table each show a proportional relationship between the number of miles traveled and the
advertised number of gallons of gas used for the two car models, A and B, respectively. Based on the
graph and table, car A can travel how many times the distance car B can travel when both cars use
1 gallon of gas? Write your answer as a decimal.
Enter your answer in the box
1.25
To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.
For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.
For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.
To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:
25/20 = 1.25
Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.
If the planes extend infinitely in all directions, where do plane ADB and line EC intersect?
Answer: In point C.
Step-by-step explanation:
Plane ADB is the plane that contains the points A, D and B.
If you look in the image, you can see that point C also does belong to this plane.
Line EC is the line that connects the points E and C.
Now, remember that Point C does belong to the plane ADB, then the point where the plane ADB and line EC intersect is in point C, because it is a common point to both elements.
ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
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What is the product of -9.56 x 8.5? A. -81.26 B. -73.06 C. 81.26 D. 73.06
Answer:
A -81.26
Step-by-step explanation:
Answer:
The answer is, A.) -81.26!
Step-by-step explanation:
I got it right on the test. Please mark me branliest!
A. √
B. ×
C. ×
D. ×
A certain disease has an incidence rate of 0.3%. If the false negative rate is 6% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease.
The probability that a person who tests positive actually has the disease is 0.006%
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Incidence rate = 0.3%False negative rate = 6%False positive rate = 2%The probability that a person who tests positive actually has the disease is represented as
Probability = Incidence rate * False positive rate
Substitute the known values in the above equation, so, we have the following representation
Probability = 0.3% * 2%
Evaluate the products
Probability = 0.006%
Hence, the probability is 0.006%
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Round The Following Number: 194,332.125
Answer:
The answer is 194000
Step-by-step explanation:
It is closer to 194000 than 195000
I would love for someone to help me with this.
Answer:
5x + 3y = 12
Step-by-step explanation:
We are given the line 5x + 3y = 6 and are to find the equation of a new line that is parallel to this one and goes through (3, -1).
Parallel lines have the same slope. The slope of the given line is determined by the coefficients 5 and 3 visible above. Therefore, the form of the equation of the new line is 5x + 3y = C, where we must determine the value of C.
Substitute 3 for x and -1 for y in 5x + 3y = C, obtaining: 5(3) + 3(-1) = C. Then 15 - 3 = 12 is the constant value, and the equation of the 'new line' is
5x + 3y = 12
Find the discriminant and the number of real roots for this equation.
x²+2x+7=0
O A. -24; one real root
B. 28; two real roots
C. -24; no real roots
D. 28; one real root
SUBMIT
Answer:
C. -24 no real roots
Step-by-step explanation
The radius of a circle is 10 in. Find its circumference in terms of � π.
Answer:
20π [in].
Step-by-step explanation:
1. formula is:
C=π*2r;
2. the circumference according to the formula is:
C=π*10*2=20π.
What is the measure of
165
15
82.5
97.5
Answer:
15°
Step-by-step explanation:
L MLP = 180-165=15°
_____
Find the answer using remainder theorem p(x) = x 3 + 7x 2 + 11x + 5
Answer:
Let's try (x+5) first. According to the Remainder Theorem, if (x+5) is a factor of the polynomial, the remainder is zero.
when x+5=0, x=-5
use synthetic division:
-5 I 1 7 11 5
I -5 -10 -5
----------------------
1 2 1 0
the remainder is 0, so (x+5) is a factor:
the result is (x+5)(x²+2x+1)
factor again: (x+5)(x+1)(x+1) is the final answer.
solve the following inequality for z. write your answer in simplest form. -9-(2z-7)>-2z-6-5z
Answer:
z > -4/5
Step-by-step explanation:
-9 - (2z - 7) > -2z - 6 - 5z
Get rid of the parenthesis
*There is the number one in front of the parenthesis.-9 - 2z + 7 > -2z - 6 - 5z
Combine like terms:
-2 - 2z > -7z - 6
+2 > +2
Add 2 to both sides.
-2z > -7z - 4
+7z > +7z
Add 7 to both sides.
5z > -4
Divide both sides by 5 to get z.
z > -4/5
The sign stays the same unless you divide by a negative number---------------------------------
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help PLSS brainliest I’ll give
The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on
The standard equation of a quadratic function is:
y = ax² + bx + c
1) Given that:
x² + 4x + 3 = 0
subtract 3 from both sides:
x² + 4x = -3
add to both sides the square of half the coefficient of x:
x² + 4x + 4 = -3 + 4
(x + 2)² = 1
2) Given that:
x² - 6x + 13 = 0
subtract 13 from both sides:
x² - 6x = -13
add to both sides the square of half the coefficient of x:
x² - 6x + 9 = -13 + 9
(x - 3)² = -4
The equations are (x + 2)² = 1 and (x - 3)² = -4
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What are the potential solutions to the equation?
If this is the full question; What are the potential solutions to the equation below? 2In(x+3)=0
then the answer is; 2ln(x + 3) = 0
ln[(x + 3)²] = 0
(x + 3)² = 1
x + 3 = ±√1
x + 3 = ±1
x = 1 - 3, -1 - 3
x = -2, -1 - 3
x = -2, -4
when checking solution; x = -4 in the original equation does not hold true. so you drop x = -4 from the solution set.
therefore;
x = -2
hope this helps, God bless!
Answer:
c
Step-by-step explanation:
Jenny wants to earn $2000 this summer babysitting. She plans on working 150 hours over the summer.a. Based on her plan, what is the rate, in dollars per hour, that Jenny must charge customers for babysitting to earn $2000 over the summer? Show or explain how you got your answer?Jenny also want to take a summer class at the local college. As a result, she will have to work 50 hours less than the total number of hours she had originally planned to workb. What is the rate, in dollars per hour, that Jenny must charge for babysitting to still earn S2000? Show or explain how you got your answer?c. Write an equation that represents the relationship between x, the number of hours Jenny will have to work, and y, the rate she must charge to earn $2000.d. Explain how a change in x, the number of hours Jenny will have to work, affects y, the rate she will have to charge customers to earn $2000, in your equation from part (c).
A) She wants to earn $2000 and work 150 hour so the rate will be the divirion so:
\(\frac{2000}{150}=13.33\)So she should charge customers $13.33 dollars per hour
B) now she just can work 100 hour so the new rate will be:
\(\frac{2000}{100}=20\)So now she should charge $20 dollars per hour.
C) In this case the rate will be the slope so we can write an equation like:
\(\frac{2000}{x}=y\)D) in this equation we can see that x is inverse to y so the bigger become x, y will be shorter and if x is a low number the y will increase.
What is the product of the polynomials below?
(5x²-x-3)(2x+6)
OA. 10x² +28x² +12x+3
OB. 10x³ +28x2² -12x-18
OC. 10x²+28x²-12x-3
OD. 10x² +28x² + 12x+18
Answer: B
Step-by-step explanation:
\((5x^2 -x-3)(2x+6)\\\\=2x(5x^2 - x-3)+6(5x^2 - x-3)\\\\=10x^3 - 2x^2 - 6x+30x^2 - 6x-18\\\\=\boxed{10x^3 +28x^2 - 12x-18}\)
In 2005 an area vocational school had an enrollment of 325 men and 123 women. In 2006 there were 149 women. what was the percent increase of women students. The answer should be rounded to the nearest whole percent
The nearest Whole percent, the percent increase of women students is approximately 21%.
The percent increase of women students, we need to compare the number of women students in 2005 and 2006.
In 2005, the number of women students was 123.
In 2006, the number of women students was 149.
To find the increase, we subtract the initial value (2005) from the final value (2006):
Increase = Final Value - Initial Value
Increase = 149 - 123
Increase = 26
Next, we need to calculate the percent increase. The percent increase is given by the formula:
Percent Increase = (Increase / Initial Value) * 100
Plugging in the values:
Percent Increase = (26 / 123) * 100
Calculating the percent increase:
Percent Increase ≈ 21.14%
Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.
Therefore, the answer is 21%.
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Find the values of x,y,and z. The diagram is not to scale.
*check attachment for the correct figure given in this question with the right labelled angles
Answer:
\( x = 86, y = 67, z = 94 \)
Step-by-step explanation:
From the given figure attached below, values of x, y, and z can be found as follow:
Value of x:
\( x = 180 - (38 + 56) \) => sum of angles in a triangle
\( x = 180 - 94 \)
\(x = 86\)
Value of z:
\( z = 180 - 86 \) => angles on a straight line
\(z = 94\)
Value of y:
\( y = 180 - (19 + 94) \) => sum of angles in a triangle.
\( y = 180 - 113 \)
\(y = 67\)
\( x = 86, y = 67, z = 94 \)
56 x 48 =
29x31=
73 x 25 =
95 x 43 =
67 x 83 =
29 x 56 =
40 x81=
74 x 69 =
Someone needs to solve this !!
Need help with this geometry question.What is HK?
Answer:
Step-by-step explanation:
use a protractor if you have one or ask for one
Please help. I thought the correct way to do this was to find the probability of winning each prize and multiply it by the amount of the prize, then add all these products together. Let me know what is the correct way.
We may conclude after answering the provided question that As a result, probability if you buy one ticket, the predicted value of the raffle is $0.1416.
What is probability?A measure of an event's likelihood is probability. It is symbolised by a number between 0 and 1, where 0 denotes an uncommon event and 1 denotes an unavoidable event. As there are two equally likely outcomes, there is a chance of 0.5 or 50% when flipping a fair coin. head or tail. In the field of mathematics known as probabilistic theory, random events are investigated rather than their characteristics. Several academic fields, such as statistics, economics, science, and engineering, make use of it.
Because there are three $100 prizes and 7000 tickets sold, the odds of winning one of them are 3/7000.
The odds of winning one of the five $20 prizes are 5/7000.
The odds of winning one of the 19 $5 prizes are 19/7000.
Let us now compute the anticipated value:
E(X) = (1/7000)($500) + (3/7000)($100) + (5/7000)($20) + (19/7000)($5)
E(X) = $0.0714 + $0.0429 + $0.0143 + $0.013
E(X) = $0.1416
As a result, if you buy one ticket, the predicted value of the raffle is $0.1416.
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Hola me pueden explicar por favor el punto 1 es para hoy muchas gracias
Answer:
las soluciones estan abajo. En algunos incisos se debe suponer que el numero en cuestion es entero. De lo contrario no es posible hablar del siguiente o del anterior al numero.
Step-by-step explanation:
Sea x un numero, entonces
1)2x
2)5x
3)x-1 (aqui x es un numero entero)
4)\(\frac{x}{2}\)
5)\(\frac{x}{10}\)
6)x+1 (aqui x es un numero entero
7) x(x+1) (aqui x es un numero entero
8) x(x+1)(x+2) (aqui x es un numero entero
Of(x) = x² - 6x-1-
Mark thic and return
24
-10-8-8-22-
-8
-8
-10
2
B
8 10 x
What is the axis of symmetry
The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.
How to determine the axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry, Xmin = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
By substituting the parameters, we have the following:
Axis of symmetry, Xmin = -b/2a
Axis of symmetry, Xmin = -(-6)/2(1)
Axis of symmetry, Xmin = 6/2
Axis of symmetry, Xmin = 3.
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