Answer: 70 dollars in profit
Step-by-step explanation: 20 x 13.50 = 270 20 - 3 = 17 20 x 17 = 340 340 - 270 = 70
A new car is purchased for 20300 dollars. The value of the car depreciates at 9. 5% per year. What will the value of the car be, to the nearest cent, after 11 years?.
The value of the car to be, to the nearest cent, after 11 years is $7641.
Given data;
A brand-new car is bought for $20300. The car's value decreases by 9.5% annually.
To know the value of the car to be, to the nearest cent, after 11 years;
[tex]S(t) = 20300*(0.915)^t[/tex]
[tex]S(11) = 20300*(0.915)^1^1[/tex]
[tex]S(11) = 20300*0.376[/tex]
[tex]S(11) = 7640.61[/tex]
Hence, the value of the car after 11 years is $7641.
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Find the least common denominator of 7/2 and 3/10
Answer: 10
Step-by-step explanation: it’s 10 because 2 is a multiple of 10 and 10 is 10 so no change required.
Answer:
LCD = 10
Step-by-step explanation:
7/2 = 35/10
3/10 = 3/10
n is an integer 5
5<2n<20
write down all the possible values of n
If n is an integer , the possible values of n in the given inequality are n > 5/2 and n < 10 .
In the question ,
it is given that ,
the inequality is 5 < 2n < 20 , where n is an integer .
we need to find the all the possible values of n that satisfy the given inequalities .
to find the possible values of n , we solve both sides of the inequality separately ,
that is ,
5 < 2n
dividing both sides in the inequality by 2, we get
5/2 < n
n > 5/2
and
2n < 20
dividing both sides in the inequality by 2 , we get
n < 20/2
n < 10
Therefore , the possible values of n are n > 5/2 and n < 10 .
The given question is incomplete , the complete question is
Write down all the possible values of n for the inequality 5<2n<20 , where n is an integer ?
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a researcher was interested in the differences in the opinions about marriage between men and women. the researcher predicted that women would have different opinions about marriage from men. what would the null hypothesis suggest in this situation?
There is no null hypothesis in this situation there is no differences in the opinions about marriage between men and women
In the field of science, hypothesis testing is an effective method of determining whether or not there is a relationship between two or more variables. A null hypothesis is a default position or a general statement that no relationship or connection exists between the given variables.
The hypothesis is then tested, and based on the results of the tests, a conclusion is drawn either approving or rejecting the null hypothesis.
In the given situation, where the researcher predicted that women would have different opinions about marriage than men, the null hypothesis could be formulated because there is no difference in the opinions of men and women about marriage.
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solve for brainliest
The students' Landry and Erika was the name used and the image is attached
What is linear function ?A linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
y = output variable
m = slope
x = input variable
c = y intercept
The two graphs shown the first from the left represents a positive slope while the second is a negative slope
Cole and Erika are both positive slopes while Landry has a negative slope. This makes Landry to be sure of the second graph
Considering c (y intercept)
In Cole's equation c = -1 and in Erika's equation c = +4
Erika's equation coincides with the graph with positive slope and Landry matches with second graph.
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solve the simultaneous equation F-2g+3=2f-39+2=1
The value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1 .
According to the question,
We have the following equation:
f-2g+3=2f-39+2=1
Now, we will equate both these equations to 1:
f-2g+3 = 1
Subtracting 3 from both sides:
f-2g = 1-3
f-2g = -2 ..(1)
2f-39+2 = 1
2f -37 = 1
Adding 37 to both sides:
2f = 1+37
2f = 38
Dividing by 2 on both sides:
f = 38/2
f = 19
Putting this value of f in equation 1:
f-2g = -2
19-2g = -2
-2g = -2-19
-2g = -21
g = 21/2
g = 10.5
Hence, the value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1.
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Simplify. 5(x+2)-3(x-2)+7x= Please Help!!! Make it legit!
Answer: 9x + 16
Simplify the expression
Find the value of x.
12x-5,
O
K
43
L
N
M
Answer:
x = 4
Step-by-step Explanation:
[tex]\triangle LMO \sim \triangle NMO \ \rm{(AA \ Similarity)} \\ \\ \rm \implies 12x - 5 = 43 \\ \\ \rm \implies 12x = 43 + 5 \\ \\ \rm \implies 12x = 48 \\ \\ \rm \implies x = \frac{48}{12} \\ \\ \rm \implies x = 4[/tex]
Prove the following.
Given: BA is perpendicular to BC,
BD bisects mABC.
Prove: mABD = 45°
At a carnival you win a prize if you get a heads, you must first choose a coin. There is a fair and a biased coin, while choosing each coin is equally likely, the biased coin has a 78% of landing tails. What is the probability of choosing the biased coin if you won a prize.
The probability of choosing the biased coin if you win a prize is 0.3056
To answer this query, we employ the conditional probability formula. It is, where
P(B|A) is the likelihood that event B will occur in the absence of event A.
is the likelihood that both A and B will occur.
P(A) denotes the likelihood that A will occur.
The following probability applies:
50% chance of winning a prize with the fair coin.
There is a 100-78 = 22% chance of winning a reward with the biased coin.
50% chance of selecting each coin.
What is the likelihood that you would choose the biased coin if you were to win a prize?
Event A: Receiving the award
Choosing the skewed coin is event B.
the likelihood of selecting the skewed coin and obtaining the reward.
p(A∩B) = 0.5 * 0.22 = 0.11
probability of winning the prize:
p(A) = 0.5*0.22 + 0.5 *0.5 = 0.36
conditional probability:
p(B/A) = 0.11/0.36= 0.3056
the probability of choosing the biased coin if you win a prize is 0.3056
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Jai has a points card for a movie theater.
He receives 20 rewards points just for signing up.
He earns 11.5 points for each visit to the movie theater.
He needs 181 points for a free movie ticket.
Answer: B
Step-by-step explanation:
The sum of 3 consecutive even numbers is 78.
What is the second number in this sequence?
Answer: 26
Step-by-step explanation:
1. Make an equation
n+n+2+n+4=78
(You have n+2 because to get to the next even number you'd have to add 2. For example, 2 is even, to get to the next even number, 4, you have you add 2.)
2. Combine like terms
3n+6=78
3. Solve for n
3n=72
n=24
4. Solve for the second number
(The second number would be n+2)\
n+2
24+2
26
ANSWER: 26
Use matrices A and B. Compute B - A, if you can.
Answer:
Step-by-step explanation:
When adding or subtracting, the matrices must be the same size!
Therefore, B-A is not possible.
ASAP! exponent rules.
Answer: 5^13
Step-by-step explanation:
1. The Exponent out of the parenthesis would be multiplied by the exponent in the parenthesis
(5^2)^4*5^5
5^8*5^5
2. Since the exponents have the same base, when they are multiplied you will keep the same base, and the exponents will add up
5^8*5^5=5^13
Question
A triangle is cut from a rectangle. The height of the triangle is half of the unknown side length s. The area of the shaded region is 84 square inches. Write an equation you can use to find the side length s.
The equation that can be used to find the side length of the shape is 14s - 7s/2 = 84
How to calculate the length?From the information, the two sides of the rectangle are 14 and s.
Area of a rectangle = length × width
The triangle is cut from the rectangle, the height is s/2 and the base is 14.
The area will be: = 1/2 × base × height
= 1/2 × 14 × s/2
= 7s/2
The area of shaded part will be;
= Area of rectangle - Area of triangle
= 14s - 7s/2
Since area is 84, the equation is 14s - 7s/2 = 84.
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Algebra 2 with Trigonometry
Raul baked a loaf of pumpkin bread that is 9 inches long. Each day, he cuts off a half-inch slice of the bread to have as dessert. Raul claims that the remaining length of pumpkin bread varies inversely with the number of slices of pumpkin bread he cuts and eats.
Write an equation that gives the remaining length of pumpkin bread p (in inches) as a function of the number of slices s that he cuts and eats.
Enter the correct expression in the box.
p = ___
Note: I'm not sure about the answer, but it is not an inverse variation function.
Answer: p = 9 - 0.5s
Optionally you can replace 0.5 with the fraction 1/2
===================================================
Explanation:
s = number of slices
0.5s = total width of all of those slices mentioned
9-0.5s = amount left over.
For example, if he eats s = 4 slices then he has eaten 0.5s = 0.5*4 = 2 inches of bread, and there are 9-2 = 7 inches left.
Notice how 9-0.5s=9-0.5*4 = 9-2 = 7.
The equation p = 9 - 0.5s is not an inverse variation because it's not in the form p = k/s, where k is some constant.
1. Trevor vende dulces en paquetes de 3 y de 7
Un día compro 102 dulces para vender. Como vende más
paquetes de 7, intento agrupar la mayor cantidad de
dulces en paquetes de 7
y algunos fueron paquetes de 3.
Si empaquetó todos sus dulces, ¿Cuántos de paquetes de 3
agrupo?
Answer:
A. 63.
Step-by-step explanation:
Determine whether a linear relationship exists between x and y. If the relationship is linear, find the constant rate of change.
X 1 2 3 4
y 4.3 8.6 12.9 16.3
Write "linear" or "nonlinear" in the Show your work area. If linear, type the constant rate of change in the answer box. if not linear, briefly explain why in the answer box.
The values of x and y are not in a linear relationship.
Given,
x y
1 4.3
2 8.6
3 12.9
4 16.3
The linear relationship between x and y can be determined by using,
[tex]y=kx\\k=\frac{y}{x}[/tex]
Where, k=constant rate of change
If k is same for all values of x and y then the given data are said to be in linear relationship.
At first row,
[tex]k=\frac{4.3}{1} =4.3[/tex]
At second row,
[tex]k=\frac{8.6}{2}=4.3[/tex]
At third row,
[tex]k=\frac{12.9}{3}=4.3[/tex]
At fourth row,
[tex]k=\frac{16.3}{4} =4.075[/tex]
So, the k is not same for all values for x and y. Hence, the given data is non linear
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Solve this problem:
√-9k=√16-k
k=
4. Rewrite the expression 12x + 8 to find an
equivalent expression. Show three possible
expressions. What do the rewritten expressions
tell you about the relationships among the
quantities?
To rewrite the expression 12x+8 to find an equivalent expression.
The answer is
12 x + 8 is equivalent to 4(3x + 2) is equivalent to
3x + 3x+3x+3x + 2 +2+2+2 is equivalent to (x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2
Therefore these are the possible expressions
Step: 1
Here given that,
Rewrite the expression 12x + 8 to find an equivalent expression. Show three possible expressions. What do the rewritten expressions tell you about the relationships among the quantities.
Step: 2
When you rewrite an expression, you are writing an equivalent expression.
12 x + 8 is equivalent to 4(3x + 2) is equivalent to
3x + 3x+3x+3x + 2 +2+2+2 is equivalent to
(x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2
Therefore these are the possible expressions
Hence the answer is
12 x + 8 is equivalent to 4(3x + 2) is equivalent to
3x + 3x+3x+3x + 2 +2+2+2 is equivalent to
(x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2
Therefore these are the possible expressions
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Two larger cubes are made out of unit cubes. Cuba A is 2 by 2 by 2. Cube B is 4 by 4 by 4. the side length of Cube B is twice that of Cube A.
A. is the surface are of Cube B also twice that of Cube A?
B. is the volune of Cube B also twice that of Cube A?
The volume of the cube A is 8 cm³ and the volume of the cube B is 64 cm³
What is a cube?
A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, and 4 on the sides faces.
We have been given that Two larger cubes are made out of unit cubes. Cuba A is 2 by 2 by 2. Cube B is 4 by 4 by 4. then the side length of Cube B is twice that of Cube A.
Then the surface area of Cube B = 6a²
Cube B = 6 x 4² = 96
Surface area of Cube A = 6 x 2² = 24
The volume of the cube A = a³ = 2³ = 8 cm³
The volume of the cube B = a³ = 4³ = 64 cm³
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The equation d=3t represents the relationship between the distance (d) in inches that a snail is from a certain rock and the time (t) in minutes.
What does 3 represent?
If t=1, then d=3: In 1 minute, the snail traveled 3 inches.
If t=2, then d=6: In 2 minutes, the snail traveled 6 inches.
If t=3, then d=9: In 3 minute, the snail traveled 9 inches.
The snails speed is 3 inches per minute. That's what the 3 represents. The change in distance (inches) for each minute that passes.
What is the slope of a line parallel to the line whose equation is 10x+6y=-96. Fully simplify your answer.
The slope of a line parallel to the line whose equation is 10x + 6y = -96 is;
m = - 5/3
Find the slope fully simplify my answer.
10x + 6y =-96
y = - 5/3 x – 16
y = - 5/3 x + (-16)
y = - 5/3 x + (-16), m = - 5/3
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simplify the expression, leaving only positive exponents in your answer
-3x^2(6xy-2x^3y^2z)
Answer:
simplify - 3x^2xy-(-3x^2) x 2x ^3y^2^z: -3x^3y+6x^2+3y2z
in a small pond there are eleven lily pads in a row labeled 0 through 10. a frog is sitting on pad 1. when the frog is on pad , , it will jump to pad with probability and to pad with probability . each jump is independent of the previous jumps. if the frog reaches pad 0 it will be eaten by a patiently waiting snake. if the frog reaches pad 10 it will exit the pond, never to return. what is the probability that the frog will escape without being eaten by the snake? in a small pond there are eleven lily pads in a row labeled 0 through 10. a frog is sitting on pad 1. when the frog is on pad , , it will jump to pad with probability and to pad with probability . each jump is independent of the previous jumps. if the frog reaches pad 0 it will be eaten by a patiently waiting snake. if the frog reaches pad 10 it will exit the pond, never to return. what is the probability that the frog will escape without being eaten by the snake?
The probability that the frog will escape without being eaten by the snake is [tex]\frac{63}{146}[/tex]
What is Markov Process?
A Markov chain or Markov process is a stochastic model that depicts a series of potential occurrences where each event's likelihood is solely determined by the state it reached in the preceding event.
First, take notice that the frog has a probability of 1/2 of finally being eaten by the snake once it is on pad 5, and a probability of 1/2 of eventually emerging from the pond unharmed. Therefore, all that needs to be determined is the probability that the frog on pad 1 will make it to pad 5 without being eaten.
Consider the frog’s jumps in pairs. The frog on pad 1 will advance to pad 3 with probability [tex]\frac{9}{10} \frac{8}{10}[/tex][tex]=\frac{72}{100}[/tex] will be back at pad 1 with probability [tex]\frac{9}{10} \frac{2}{10}[/tex][tex]=\frac{18\\}{100}[/tex]
s
[tex]\frac{72}{100}[/tex] ÷ [tex](\frac{72}{100}+\frac{10}{100} )=\frac{36}{41}[/tex] and the probability that it ultimately makes it to pad 0 is [tex]\frac{10}{100}[/tex] ÷ [tex](\frac{72}{100}+\frac{10}{100} )=\frac{5}{41}[/tex].Similarly, in a pair of jumps the frog will advance from pad 3 to pad 5 with probability [tex]\frac{7}{10} \frac{6}{10} =\frac{42}{100}[/tex], will be back at pad 3 with probability [tex]\frac{7}{10} \frac{4}{10} +\frac{3}{10} \frac{8}{10} =\frac{52}{100}[/tex].
Because the frog will ultimately make it to pad 5 or pad 1 from pad 3, the probability that it ultimately makes it to pad 5 is [tex]\frac{42}{100}[/tex] ÷ [tex]( \frac{42}{100} +\frac{6}{100} )=\frac{7}{8}[/tex] and the probability that it ultimately makes it to pad 1 is [tex]\frac{6}{100}[/tex] ÷ [tex](\frac{42}{100} +\frac{6}{100} )=\frac{1}{8}[/tex]
The series of steps that must be made in pairs for the frog to get to pad 5 without being eaten is
1 → 3 → 5, 1 → 3 → 1 → 3 → 5, 1 → 3 → 1 → 3 → 1 → 3 → 5 and so on.
The sum of the respective probabilities of reaching pad 5 is then
[tex]\frac{36}{41} \frac{7}{8} +\frac{36}{41} \frac{1}{8} \frac{36}{41} \frac{7}{8}+\frac{36}{41} \frac{1}{8} \frac{36}{41} \frac{1}{8} \frac{36}{41} \frac{7}{8}+.....[/tex]
[tex]= \frac{63}{82} (1+\frac{9}{82} +(\frac{9}{82})^{2} +....)[/tex]
[tex]=\frac{63}{82}[/tex]÷[tex](1-\frac{9}{82} )[/tex]
[tex]= \frac{63}{73}[/tex]
Therefore the requested probability is [tex]\frac{1}{2}\frac{63}{73} = \frac{63}{146}[/tex]
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For the equation
y-3 = 2(x + 4),
which of the following is true?
NEED HELP ASAP, EXPLANATION WOULD BE APPRECIATED THANKS
The value of variable x is 16.5 using the cross-multiplication method.
What is the cross-multiplication method?The denominator of the first term is multiplied by the numerator of the second term when utilizing the cross-multiplication method.
In mathematics, more specifically in elementary arithmetic and elementary algebra, one could cross-multiply an equation between two fractions or rational expressions to make the equation easier or to determine the value of a variable.
So, the value of x will be:
Use the cross-multiplication method as follows:
2x-7/4 = x+3/3
3(2x-7) = 4(x+3)
6x - 21 = 4x + 12
2x = 12 + 21
2x = 33
x = 33/2
x = 16.5
Therefore, the value of variable x is 16.5 using the cross-multiplication method.
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Correct question:
Obtain the value of x.
Please help me!!!!!!!!!!
Answer:
i can't see the pic
Step-by-step explanation:
125% of what number is 52.5
Answer:
42
Step-by-step explanation:
1.25x = 52.5 Divide both sides by 1.25
x = 42
Please answer this i need it within 5 minutes
Answer:
(-2.-3)
Step-by-step explanation:
(-2.-3)