Given:
Amount after three years = $10000
Rate of interest = 8.2 percent compounded monthly = 0.082
Time = 3 years
To find:
The principal value.
Solution:
Formula for amount is
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
where, P is principal, r is rate of interest, n is the number of times interest compounded in an year, t is number of years.
Substitute A=10000, r=0.082, n=12 and t=3 in the above formula.
[tex]10000=P\left(1+\dfrac{0.082}{12}\right)^{12(3)}[/tex]
[tex]10000=P\left(1+\dfrac{41}{6000}\right)^{36}[/tex]
[tex]10000=P\left(\dfrac{6041}{6000}\right)^{36}[/tex]
[tex]10000=P(1.27783)[/tex]
Divide both sides by 1.27783.
[tex]\dfrac{10000}{1.27783}=P[/tex]
[tex]7825.76712=P[/tex]
[tex]P\approx 7825.767[/tex]
Therefore, today she have to deposit $7825.767.
Y intercept of y=(x+2)2-1
Answer:
It is -1.
Step-by-step explanation:
To start off y=mx+b is the formula for this type of problem. y and x are variables, m is the slope, and b is the y-intercept. Since you need to identify the y-intercept, all you need to do is look at the end of the equation to find the y-intercept. In this case it is -1, since -1 is b.
Hope that helps!
Answer:
actually the answer is 3
Step-by-step explanation:
the reason it's a nagative is because the one was flipped to the opposite side of the equation flip it to a positive and add it to the 2 right next to it you got three or you could always graph it.
Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero. la diferencia de los reciprocos de los numeros es una decima.
Answer:
Ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]
Step-by-step explanation:
La mitad de una cantidad es el resultado de partir en dos partes iguales dicha cantidad, siendo cada una de esas partes es la mitad de la cantidad inicial. Por lo que la mitad de un número se calcula dividiendo el número por 2.
El recíproco o inverso multiplicativo de un número x es el número que, cuando es multiplicado por x , da 1. Es decir, el producto de un número y su recíproco es 1. Para obtener el recíproco de un número, sólo divide 1 por el número. Entonces el reciproco de un numero cualesquiera x es [tex]\frac{1}{x}[/tex].
El doble o duplo de un número se calcula multiplicando el número por 2.
La diferencia es el resultado de la resta o sustracción.
Entonces:
La mitad del reciproco de un numero: siendo el número x, entonces esto se expresa como [tex]\frac{1}{x}[/tex]÷2El duplo del reciproco de otro numero: siendo el número y, entonces podes expresar [tex]\frac{1}{y}[/tex]*2Uno más que el reciproco del primer numero: [tex]\frac{1}{x}+1[/tex]Entonces:
[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{y}[/tex]*2 = [tex]\frac{1}{x}+1[/tex] Ecuación (A)
Siendo la diferencia de los recíprocos de los números igual a una decima, entonces
[tex]\frac{1}{x}+\frac{1}{y}=\frac{1}{10}[/tex] Ecuación (B)
Entonces, de la ecuación (B) se obtiene:
[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{x}[/tex] Ecuación (C)
Reemplazando en la ecuación (A):
[tex]\frac{1}{x}[/tex]÷2 +( [tex]\frac{1}{10}-\frac{1}{x}[/tex])*2 = [tex]\frac{1}{x}+1[/tex]
Resolviendo:
[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{10}*2-\frac{1}{x}*2[/tex] = [tex]\frac{1}{x}+1[/tex]
[tex]\frac{1}{x}[/tex]*[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{x}*2[/tex] - [tex]\frac{1}{x}[/tex]= 1- [tex]\frac{1}{10} *2[/tex]
[tex]-\frac{5}{2}*\frac{1}{x}=\frac{4}{5}[/tex]
[tex]\frac{1}{x} =\frac{4}{5}[/tex] ÷ [tex](-\frac{5}{2})[/tex]
[tex]\frac{1}{x} =-\frac{8}{25}[/tex]
[tex]x=-\frac{25}{8}[/tex]
Entonces, reemplazando en ecuación (C)
[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{-\frac{25}{8} }[/tex]
[tex]\frac{1}{y}=\frac{1}{10}+\frac{8}{25}[/tex]
[tex]\frac{1}{y}=\frac{21}{50}[/tex]
[tex]y=\frac{50}{21}[/tex]
Entonces, ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]
Usando un sistema de ecuaciones, se encuentra que los números son: [tex]-\frac{1}{4}, -2[/tex]
Un número es llamado de x, el otro de y.Los recíprocos son: [tex]\frac{1}{x}, \frac{1}{y}[/tex]Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero, o sea:
[tex]\frac{1}{2x} + \frac{2}{y} = 1 + \frac{1}{x}[/tex]
La diferencia de los reciprocos de los numeros es una decima, o sea:
[tex]\frac{1}{x} - \frac{1}{y} = 10[/tex]
[tex]\frac{y - x}{xy} = 10[/tex]
[tex]y - x = 10xy[/tex]
[tex]y = 10xy + x[/tex]
[tex]y = x(10 + y)[/tex]
[tex]x = \frac{y}{10 + y}[/tex]
Reemplazando en la primera ecuación:
[tex]\frac{1}{2x} + \frac{2}{y} = 1 + \frac{1}{x}[/tex]
[tex]\frac{10 + y}{2y} + \frac{2}{y} = 1 + \frac{10 + y}{y}[/tex]
[tex]\frac{10 + y + 4}{2y} = \frac{y + 10 + y}{y}[/tex]
[tex]\frac{14 + y}{2y} = \frac{2y + 10}{y}[/tex]
[tex]14y + y^2 = 4y^2 + 20y[/tex]
[tex]3y^2 + 6y = 0[/tex]
[tex]3y(y + 2) = 0[/tex]
[tex]y + 2 = 0[/tex]
[tex]y = -2[/tex]
[tex]x = \frac{y}{10 + y} = \frac{-2}{10 - 2} = -\frac{1}{4}[/tex]
Los números son: [tex]-\frac{1}{4}, -2[/tex]
Un problema similar es dado en https://brainly.com/question/24646137
justin walk 5 kilometer and he turn right and he swim 35 meters why the apple is red?
Answer:
Red apples get their color from anthocyanins. These are pigments, or natural colorings, that develop as the apple grows. It absorbs all the colors of the rainbow—except for red. The red light reflects off the apple and our brain and eyes work together to let us know what color we are seeing
Step-by-step explanation:
The first part of the question does not correlate to the final question the problem is asking. Therefore, we just need to find out why apples are red. A simple google search can tell you why ^^
Answer:
it's nature first it's green after its gets ready to eat it's colour change
in am just joking
Help APSPPP!!!!!!!!!!!! Hurry
Answer: Linear Pair, 23 degrees
Step-by-step explanation:
So I checked all of the answers and noticed that 23 was the only valid value for X because it means both values add up to 180. This is a linear pair because both angles are separated by another line and are on a straight 180 degree line.
Please Help Me With This Math ;(
Kayla rented a boat. There was a one-time charge of $100 plus an hourly rate of $45. Her total cost for the day was $370. Which equation, when solved for x, gives the number of hours she rented the boat?
45x – 100 = 370
45x + 370 = 100
45x + 100 = 370
45x – 370 = 100
Explain how you got the answer please
Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with the solution for others to check their work. For example, you may want to know if the average weight of a rippled potato chip is the same as the average weight of a non-rippled potato chip. You may weigh rippled regular potato chips fro m a large bag and find weights of 1.7,1.9,2.4,1.3, 1.7, and 2.0 grams. You may weigh non-rippled potato chips from another larg bag and find weights of 1.8, 1.6,1.9, 1.9, and 1.4 grams. Assume a random sample was drawn. Think of a problem that you may be interested in that deals with a comparison of two population proportions. Propose either a confidence interval or a hypothesis test question that compares these two proportions. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with your own solution. For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians. For your response to a classmate (two responses required, one in each option), solve your classmate's confidence interval or hypothesis test problem, using a significance level not previously used Make sure that you use appropriate terminology and specify whether you are using the classical method or the p-value method.
Answer:
Responds to my friend
Decision rule
Fail to reject the null hypothesis
Conclusion
There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian
Step-by-step explanation:
Here we are going to consider this question
For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians.
Here we are going to be solving the hypothesis test problem and we will be making use of the p-value method
From the question the we are told that
The first sample size is [tex]n_1 = 380[/tex]
The second sample size is [tex]n_2 = 205[/tex]
The number of California residents that are vegetarian is [tex]k = 109[/tex]
The number of New Hampshire resident that are veterinarian is [tex]u = 39[/tex]
Generally the sample proportion for California residents is
[tex]\^ p_1 = \frac{k}{n_1}[/tex]
=> [tex]\^ p_1 =\frac{109}{380}[/tex]
=> [tex]\^ p_1 = 0.2868 [/tex]
Generally the sample proportion for New Hampshire residents is
[tex]\^ p_2 = \frac{39}{205}[/tex]
=> [tex]\^ p_2 = 0.1902 [/tex]
The null hypothesis is [tex]H_o : p_1 -p_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : p_1 -p_2 > 0[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{(\^ p_1 - \^ p_2 ) -0}{\sqrt{ \frac{\^ p_1 (1-\^p_1 )}{n_1} + \frac{\^ p_2 (1- \^p_2)}{n_2} } }[/tex]
=> [tex]t = \frac{( 0.2868 - 0.1902) -0}{\sqrt{ \frac{0.2868 (1-0.2868 )}{380} + \frac{0.1902(1- 0.1902)}{205} } }[/tex]
=> [tex]t = 0.036[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 -2[/tex]
=> [tex]df = 380 + 205 -2[/tex]
=> [tex]df = 583/tex]
Generally the probability of [tex]t = 0.036[/tex] at a degree of freedom of [tex]df = 583/tex] from the t- distribution table is
[tex]p-value = P(t > 0.036) = 0.48564732[/tex]
Let take the level of significance to be [tex]\alpha = 0.05[/tex]
So from the values obtained we see that [tex]p-value > \alpha[/tex] hence the decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian
4x + xz + 8 - 4xz- 7z
Answer: if your trying to simplify it....
−3xz+4x−7z+8 <----- this is your answer
if your trying to factor...
4x−3xz+8−7z <------ is your answer
if Finding the exact value using trigonometric identities.
−3xz+4x−7z+8 <---- is your Answer
I don't know where your going with this....
Step-by-step explanation:
Let's simplify step-by-step.
4x+xz+8−4xz−7z
=4x+xz+8+−4xz+−7z
Combine Like Terms:
=4x+xz+8+−4xz+−7z
=(xz+−4xz)+(4x)+(−7z)+(8)
=−3xz+4x+−7z+8
Answer:
=−3xz+4x−7z+8
everything is in the picture
Answer:
-2
Step-by-step explanation:
We have the graph of [tex]y=f(x)[/tex].
We want to find [tex]f(-6)[/tex].
In other words, what is the value of the graph when [tex]x=-6?[/tex]
We can see that when [tex]x=-6[/tex], our graph [tex]f(x)[/tex] is at the point B(-6, -2).
Therefore, [tex]f(-6)=-2[/tex]
So, our answer is -2.
A rectangle has a length of 2x+1 and a width of 3x-2.
Write an expression for the area of the rectangle.
Answer:
(2x+1)x(3x-2)
Step-by-step explanation:
area of rectangle = length * width
length = 2x+1
width = 3x-2
area = (2x+1) x (3x-2)
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y– 3 = {(x - 1). What is
the slope-intercept form of the equation for this line?
O y= {x+ 2
O y={x-4
oyufx &
O y=2x-Ź
Answer:
Step-by-step explanation:
The answers is A
An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability that it will not be enough seats to accommodate all passengers. Assume that the probability that a randomly selected passenger shows up to the airport is 0.96. Find the probability using the normal distribution as an approximation to the binomial distribution.
Answer:
The probability is [tex]P(X >300 ) = 0.97219 [/tex]
Step-by-step explanation:
From the question we are told that
The capacity of an Airliner is k = 300 passengers
The sample size n = 320 passengers
The probability the a randomly selected passenger shows up on to the airport
[tex]p = 0.96[/tex]
Generally the mean is mathematically represented as
[tex]\mu = n* p[/tex]
=> [tex]\mu = 320 * 0.96[/tex]
=> [tex]\mu = 307.2[/tex]
Generally the standard deviation is
[tex]\sigma = \sqrt{n * p * (1 -p ) }[/tex]
=> [tex]\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }[/tex]
=> [tex]\sigma =3.50 [/tex]
Applying Normal approximation of binomial distribution
Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as
[tex]P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )[/tex]
Here [tex]\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
=>[tex]P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )[/tex]
Now applying continuity correction we have
[tex]P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > -1.914 )[/tex]
From the z-table
[tex]P(Z > -1.914 ) = 0.97219[/tex]
So
[tex]P(X >300 ) = 0.97219 [/tex]
A box contains three types of fruits:
apples, bananas, and pears. There are
20 pieces of fruit in all. Of these, 3 are
apples and 11 are bananas. What is the
ratio of pears to bananas?
A 6: 11
B 11 : 6
C 3:11
D 11:3
Answer:
A
Step-by-step explanation:
A school group wants to rent part of a bowling alley to have a party. The bowling alley costs $500 to rent, plus an additional charge of $5 per student to bowl. The group doesn’t want any student to pay more than $15 total to attend this party.
What is inequality that could represent this situation?
How many students would need to attend so each student would pay at most $15?
Answer:
If there are N students, the total cost will be:
C(N) = $500 + $5*N.
And we want the amount that each student pays to be equal or less than $15.
then:
C(N)/N ≤ $15.
Then the inequality that represents this situation is:
($500 + $5*N)/N ≤ $15.
Now, let's solve this:
($500 + $5*N) ≤ $15*N
$500 ≤ $15*N - $5*N
$500 ≤ $10*N
$500/$10 ≤ N
50 ≤ N
So the minimum number of students needed is 50.
Use long division to find the quotient below.
(16x3 + 40x2 + 72) - (2x+6)
A. 8x2 + 3x + 12
O B. 8x2 - 4x + 12
C. 8x2 + 5x + 12
D. 8x2 - 6x + 12
can you please help me
Answer:
14
Step-by-step explanation:
cause both are congruent which means the same size if one has 14 why shouldnt the other too
According to Boyle's Law, if the temperature of a confined gas is held fixed, then the product of the pressure P and the volume V is a constant, suppose that, for a certain gas, PV=800 where P is measured in pounds per square inch and V is measured in cubic inches.
A) Find the average rate of change of P as V increases from 200in^3 to 250in^3.
B) Express V as a function of P and show that the instantaneous rate of change of V with respect to P is inversely proportional to the square of P.
Answer:
I think its B
Step-by-step explanation:
Forgive me if I am wrong, give me brainliest if I am right!
Julie had $150. She needed to spend $3.00 for lunch every day. How much money will she have left after 20 days? Please help it's hard
Answer:
$90 left after 20 days
Step-by-step explanation:
She starts out with 150, right?
She spends $3 each day x 20 days = 60
150 - 60 = 90
Hope this helps! :')
Answer:
multiply 3.00 times 20 and you'll get 60.00 subtract that from 150 and your answer is 90.00 dollars
Simplify the algebraic expression by combining like (or similar) terms.
5x + 5y - 2x + 5y
Answer:
3x + 10y
Step-by-step explanation:
(5x - 2x) + (5y + 5y)
= 3x + 10y
Answer:
10y + 3x
Step-by-step explanation:
Jasmin's dog weighs 64 pounds . Her vet told her that a healthy weight for her dog would be less than or equal to 49 pounds . Jasmin's dog can lose an average of 4 pounds every week . Write the solution to an inequality that describes all possible number of weeks for which her dog can be at a healthy weight .
Answer:
9 > 10
Step-by-step explanation:
90 = 9
100 = 10
answer = 9.10
I really need help real quick !
Can you conclude that the following is a rhombus, rectangle, or square?
A parallelogram has two pairs of adjacent sides that are congruent.
The mentioned parallelogram is a rhombus.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.
A parallelogram is a square and a rhombus is a square.
However, not all parallelograms are rhombuses, and not all rhombuses are squares.
A parallelogram has two pairs of adjacent sides that are congruent.
The adjacent sides of a parallelogram must be equal, and the angles formed by the four sides must be 90 degrees for a rhombus to be a square.
We are aware that the adjacent sides are equal in the context of the statement, but we are unsure of whether or not the angle formed by the sides is 90 degrees.
Hence, the mentioned parallelogram is a rhombus, which we can state with certainty, but it may or may not be a square.
Learn more about parallelogram here:
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Nancy has $700 and is spending $30 per week. Libby has $200 and is saving $20 per week. In how many weeks will Nancy and Libby have the same amount of money?
Simple Answer
Nancy and Libby will have the same amount on week ten.
Expiation
you can dived, repetitive subtraction, or use a number line(s) to get the same answer.
PLEASE HELP! DUE TODAY!
Answer:
D. y=x-10
Step-by-step explanation:
Answer: C
Step-by-step explanation: Subtract X from both sides, you will have
Y= -x+10
The shapes below are similar. What does x have to be?
Evaluate the variable expression when a = 5, b = 5, and c = -4.
Bc divided by (2a)
Answer:
-2
Step-by-step explanation:
Bc÷2a
5×-4÷2×5
-20÷10
-2
The value of the expression bc ÷ 2a will be negative 2.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A principle that specifies the right procedure to follow while calculating a mathematical equation is known as the activities to be conducted.
PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
The value of the variable expression when a = 5, b = 5, and c = -4.
The expression is given below.
⇒ bc ÷ 2a
Substitute the value of the variable a = 5, b = 5, and c = -4.
⇒ 5 × (-4) ÷ 2 × 5
Simplify the expression, then the value of the expression will be
⇒ - 20 ÷ 10
⇒ - 2
The value of the expression will be negative 2.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Laura red 312 page book in 13 hours if she read the same number of pages each hour how many pages did she read i
Answer:
24 pg per hour
Step-by-step explanation:
Divide 312 by 13, and the result will be 24. Hope it helps!
Answer:
24
Step-by-step explanation:
Draw the triangle ABC on a coordinate plane given the following points A (0,0) B (4,-10) C (10,-4)
draw a picture of ur triangle
Answer:
plot those points on a graph and then label the points with the correct letter and then connect the dots and you should have a triangle on your graph.
Step-by-step explanation:
Step-by-step explanation:
First plot the points on a graph and then connect those points forming a triangle
y= -2x - 45. solve for x if y = -10
Answer:
-17.5
Step-by-step explanation:
-10 = -2x - 45
(add 45 on both sides)
35 = -2x
(divide both sides by -2)
x = -17.5
How do you Subtract 9x^2 + 22x - 46 from 12x^2 - 8x + 12.
Subtract the [tex]x^2[/tex] terms from each other, then the [tex]x[/tex] terms, then the ones without any [tex]x[/tex] whatsoever.
[tex](12x^2 - 8x + 12) - (9x^2 +22x-46)[/tex]
First, we'll subtract [tex]9x^2[/tex] from [tex]12x^2[/tex]
[tex]12x^2-9x^2- = 3x^2[/tex]
Result: [tex]3x^2[/tex]
Next, we'll subtract [tex]22x[/tex] from [tex]-8x[/tex]
[tex]-8x - 22x = -30x[/tex]
Result: [tex]-30x[/tex]
Finally, we'll subtract [tex]-46[/tex] from [tex]12[/tex]
[tex]12-(-46) = 12+46 = 58[/tex]
Result: [tex]58[/tex]
Now, we can add these 3 results together.
First, we had [tex]3x^2[/tex], then [tex]-30x[/tex], and finally [tex]58[/tex].
Thus, our subtraction of
[tex](12x^2 - 8x + 12) - (9x^2 +22x-46)[/tex]
equals
[tex]3x^2-30x+58[/tex]
Construct a line parallel to line m through point x
PLS HELP!!!
Step-by-step explanation:
hope this helps! just remember the terms and it will get easier
-------×---------
-----------------m