Herky is putting money into a savings account on a weekly basis to buy a DVD player that costs $179.40 including tax. He asks Mario how much he should save per week to buy the player in 8 weeks if he already has $35.00 saved. Mario gives him the answer and explains how he found the answer. What does Mario say?
He tells Herky he needs to save $18.05 per week. He explains that he found his answer by subtracting $35.00 from $179.40, then dividing the result by 8.
He tells Herky he needs to save $22.43 per week. He explains that he found his answer by dividing $179.40 by 8.
He tells Herky he needs to save $26.80 per week. He explains that he found his answer by adding $35.00 to $179.40, then dividing the result by 8.
He tells Herky he needs to save $57.43 per week. He explains that he found his answer by dividing $179.40 by 8, then adding $35.00.
Answers
Answer:
b
Step-by-step explanation:
Related Questions
Use the remainder theorem to find P (3) for P(x) = -x+3x² - 2x-5.Specifically, give the quotient and the remainder for the associated division and the value of P(3).믐Quotient =Х5 ?Remainder = 0p(3) = 0
Answers
We are given the function
\(P(x)=-x^3+3x^2-2x-5\)we are to use remainders theorem to find p(3)
Therefore
Given p(3) then x = 3
Hence
\(\begin{gathered} P(3)=-3^3+3(3)^2_{}-2(3)-5 \\ P(3)=-27+27-6-5 \\ P(3)\text{ = -11} \end{gathered}\)Hence, p(3) = - 11
Therefore, the Remainder is - 11
Finding the quotient
Given
\(\begin{gathered} p(x)\text{ = 3 }\Rightarrow\text{ x = 3} \\ \text{therefore} \\ x\text{ -3 is a factor} \end{gathered}\)Therefore to find the quotient we will use long division method
\(x-3\sqrt[]{-x^3+3x^{^2}-2x-5}\)This gives
\(\begin{gathered} \text{ -x}^2\text{ -2} \\ x-3\sqrt[]{-x^3+3x^2-2x-5} \\ \text{ (-) -}x^3+3x^2 \\ ----------------------- \\ \text{ -2x - 5 } \\ \text{ ( - ) -2x}^{}\text{ + 6} \\ -------------------- \\ \text{ - 11} \end{gathered}\)Therefore, The quotient is
\(-x^2-2\)From the solution above
P(3) = - 11
Prove that all the solutions to the equation (z+1)7=z7 have equal real parts, and find what this real part is equal to.
Answers
All the solutions to the equation (z+1)7=z7 have equal real parts, and this real part is equal to 1/2.
What is Complex Numbers ?Complex numbers are those that are expressed as a + ib, where a and b are actual numbers and I is a fictitious number called a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).
Given that
\((z+1)^7=z^7\)
can also be written as
\(|z+1|=|z|\)
\(|z+1|^2=|z|^2\)
\(z\bar{z}+z+\bar{z}+1=z\bar{z}\)
2Re(z)=1
z=-1/2
To know about complex problems follow this link:
https://brainly.com/question/5564133
#SPJ4
Linear Equations - Practice Word Problems
Solve.
#1 - When five is added to three more than a certain number, the result is 19. What is the number?
#2 - If five is subtracted from three times a ce3rtain number, the result is 10. What is the number?
Answers
Answer:
#1 - 11
#2 - 5
Step-by-step explanation:
#1 - This is really simple, as long as you don't think of it as numbers. The numbers 5 and 3 are being added to a number to make 19, so all you have to do is 19 - 5 - 3 or 19 - 8, which equals 11. So the certain number is 11.
#2 - The equation for this problem is (3 x ?) - 5 = 10. This equation is formed because you are subtracting 5 from 3 times a number, and to do all of this first, you need to figure out what 3 times a number equals (so it goes into the parentheses). From there, all you need to do is give a value that would substitute the question mark (normally you use a variable like n, x, y, etc.). This value would be 5, because 3 x 5 = 15 and 15 - 5 = 10.
:DDDDDDDDD
Citrus County's assets have an average duration of 8 and a market value of $1 million. The market interest rate is 5%. Use the duration formula to estimate the market value if the interest rate changes to 4%. 1,055,284 1,097.331
Answers
The estimated market value of Citrus County's assets, with an average duration of 8 and a market value of $1 million, would be approximately $1,055,284 if the interest rate changes to 4%.
In this case, the assets have an average duration of 8. When the interest rate changes from 5% to 4%, the change in interest rates is 1%. By applying the duration formula, the estimated percentage change in the market value of the assets would be approximately -8% (negative duration multiplied by the change in interest rates).
To calculate the estimated market value, we need to multiply the estimated percentage change (-8%) by the current market value ($1 million) and add it to the current market value. Thus, the estimated market value would be approximately $1,055,284 (1,000,000 + (1,000,000 * -8%)).
Duration is a measure of the sensitivity of an asset's price to changes in interest rates. It provides an estimate of the percentage change in the market value of an asset for a given change in interest rates. The duration formula states that the percentage change in the market value of an asset is approximately equal to the negative duration multiplied by the change in interest rates.
to learn more about market value click here:
brainly.com/question/28320555
#SPJ11
solve the simultaneous equation
-4x+3y=1
6x-y=2
Answers
Answer:
x = 1/2, y = 1
Step-by-step explanation:
Let's change the equation,
→ 6x - y = 2
→ y = 6x - 2
Then the value of x will be,
→ -4x + 3y = 1
→ -4x + 3(6x - 2) = 1
→ -4x + 18x - 6 = 1
→ 14x = 1 + 6
→ x = 7/14
→ [ x = 1/2 ]
Hence, the value of x is 1/2 (or) 0.5.
Now the value of y will be,
→ y = 6x - 2
→ y = 6(1/2) - 2
→ y = 3 - 2
→ [ y = 1 ]
Hence, the value of y is 1.
Answer:
x = ¹/₂
y = 1
Step-by-step explanation:
Given system of equations:
\(\begin{cases}-4x+3y=1\\\:\:\:\:\:\:6x-y=2 \end{cases}\)
Multiply the second equation by 3:
\(\implies 3 \cdot 6x-3 \cdot y = 3 \cdot 2\)
\(\implies 18x-3y=6\)
Add this to the first equation to eliminate the term in y:
\(\begin{array}{lrr}&-4x+3y & = 1\\+ & 18x-3y& = 6\\\cline{2-3} & 14x \phantom{-3x)} & = 7\end{array}\)
Solve for x:
\(\begin{aligned}\implies 14x & = 7\\\\\dfrac{14x}{14} & = \dfrac{7}{14}\\\\\implies x & = \dfrac{1}{2}\end{aligned}\)
Substitute the found value of x into the first equation and solve for y:
\(\begin{aligned}-4x+3y & =1\\x=\dfrac{1}{2}\implies -4\left(\dfrac{1}{2}\right)+3y & =1\\-\dfrac{4}{2}+3y & =1\\-2+3y & =1\\-2+3y+2 & =1+2\\ 3y & =3\\\dfrac{3y}{3} & =\dfrac{3}{3}\\\implies y & =1\end{aligned}\)
Therefore, the solution to the given system of equations is:
x = ¹/₂ and y = 1
Learn more about systems of equations here:
https://brainly.com/question/28281431
https://brainly.com/question/27357423
a rectangle has an area of 34 sqaure feet. A larger rectangle has an area of 124 sqaure feet. what is the percent increase of the larger rectangle to the smaller rectangle
Answers
Answer:
The difference in areas:
124 - 34 = 90 square feetPercent increase:
90/34*100% = 264.71%4. Write an equation for the quadratic below in VERTEX form and STANDARD form.
a) VERTEX form
y=-1 (1₁)
b) STANDARD form (Hint: expand the
vertex form above)
f(x) =
(-1,0)
(0, 3)
(1,4)
0
(3,0)
Help me please!!!!!!
Answers
The vertex form of the quadratic equation is:
y = -(x - 1)^2 + 4
The standard form is:
y = -x^2 + 2x + 3
How to find the equations for the parabola?If the leading coefficient is a and the vertex is (h, k), we can write:
y = a*(x - h)^2 + k
Here the vertex is at (1, 4), then:
y = a*(x - 1)^2 + 4
And it also passes through (0, 3), then we can write:
3 = a*(0 - 1)^2 + 4
3 = a + 4
3 - 4 = a
-1 = a
The vertex form is:
y = -(x - 1)^2 + 4
b) Now expand that, we will get:
y = -(x^2 - 2x + 1) + 4
y = -x^2 + 2x - 1 + 4
y = -x^2 + 2x + 3
That is the standard form.
Learn more about quadratic equations at:
https://brainly.com/question/1214333
#SPJ1
Rewrite 21/3 as a whole number
Answers
Answer:
7
Step-by-step explanation:
As we want to find the whole number, and to do so we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.
21/3 = 7
Today, both the soccer team and the basketball team had games. The soccer team plays every 4 days and the basketball team plays every 5 days.
Answers
Answer:
20
Step-by-step explanation:
Assuming you are referring to the day that both teams would play on the same day, it would be the 20th.
There are two ways you can do it.
1. List out the multiples of each number
2. multiply the two days together
If you want to do it the first way it would look like this...
5 10 15 20
4 8 12 16 20
When you do it like this it shows you that the 20th day is the day they would both play together
If you want to do it the second way it would look like this...
4th day X 5th day = 20th day
Either way you solve the problem you get the same answer, this may not work for every problem like this, but it works for this particular one
Brainliest 5 stars and thank you! (correct answers only)
What is the qoutient?
Answers
Answer: the answer is the first one
Step-by-step explanation:
13. For a given set of data, what does the standard deviation measure?
The difference between the mean and the data point farthest from the mean
The difference between the mean and the data point nearest to the mean
The difference between the mean and the median
None of the above
Source
Answers
The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.
The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.
By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.
The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.
Hence, the correct answer is "None of the above."
To know more about Mean visit.
https://brainly.com/question/31101410
#SPJ11
What is ¨0.83% of n is 18.26¨ (just tell me the value of n)
Answers
Answer:
N = 2,200'Percent (%)' means 'out of one hundred':
0.83% = 0.83 'out of one hundred',
p% is read p 'percent',
0.83% = 0.83/100 = 0.83 ÷ 100
Calculate percentage:
'Percentage' is obtained by multiplying 2,200 by 0.83%
0.83% × 2,200 =
(0.83 ÷ 100) × 2,200 =
(0.83 × 2,200) ÷ 100 =
1,826 ÷ 100 =
18.26
Step-by-step explanation:
Hope it is helpful....
By , cos(θ) = StartFraction x Over r EndFraction, and by , sin(θ) = StartFraction y Over r EndFraction. Multiplying both sides of the above equations by r, we get that x = r cos(θ) and y = r sin(θ). The states that x2 + y2 = r2. By , we have [r cos(θ)]2 + [r sin(θ)]2 = r2. Applying the , the equation can be written as r2 cos2(θ) + r2 sin2(θ) = r2. Dividing both sides of the equation by r2 results in cos2(θ) + sin2(θ) = 1.
Answers
Answer:
-Definition of cosine
-Definition of sine
-Pythagorean theorem
-Substitution
-Laws of exponents.
Step-by-step explanation:
hat is the probability that a 0.270 hitter in baseball will not get a hit on his next at-bat?
Answers
To calculate the probability that a 0.270 hitter in baseball will not get a hit on his next at-bat, we need to know the hitter's batting average.
A batting average of 0.270 means that the hitter gets a hit in 27 out of every 100 at-bats. Therefore, the probability of getting a hit on any given at-bat is 0.270.
The probability of not getting a hit on a single at-bat can be calculated as 1 minus the probability of getting a hit. So, the probability of not getting a hit on a single at-bat for a 0.270 hitter is:
Probability of not getting a hit = 1 - Probability of getting a hit
Probability of not getting a hit = 1 - 0.270
Probability of not getting a hit = 0.730
Therefore, the probability that a 0.270 hitter in baseball will not get a hit on his next at-bat is 0.730 or 73.0%.
To learn more about probability click here:
brainly.com/question/14575478
#SPJ11
how many ways can rudy choose 6 pizza toppings from a menu of 14 toppings if each topping can only be chosen once?
Answers
Rudy has 3003 different ways to choose 6 toppings from a menu of 14 toppings if each topping can only be chosen once.
The number of ways to choose 6 toppings from a menu of 14 toppings where each topping can only be chosen once is 14!/(14-6)! = 14!/(8!) = 3003. This is because for the first topping, Rudy has 14 options, for the second topping he has 13 options, for the third topping he has 12 options, and so on. To calculate the total number of combinations, we use the formula n!/(n-r)! where n is the number of items and r is the number of items to choose. This formula gives us the number of ways to choose r items from a set of n items without regard to order, which is the number of combinations.
The formula for combinations is given by n!/(n-r)! where n is the number of items and r is the number of items to choose. Here, n = 14 (the number of toppings on the menu) and r = 6 (the number of toppings Rudy wants to choose). So, the number of combinations is 14!/(14-6)! = 14!/(8!).
The factorial (!) is the product of all positive integers up to that number. For example, 4! = 4 x 3 x 2 x 1 = 24.
So, 14! = 14 x 13 x 12 x ... x 2 x 1 = 87178291199, and 8! = 8 x 7 x 6 x ... x 2 x 1 = 40320.
Now, to calculate the number of combinations, we divide 14! by 8!: 14!/(8!) = 87178291199/40320 = 3003.
Therefore, Rudy has 3003 different ways to choose 6 toppings from a menu of 14 toppings if each topping can only be chosen once.
To learn more about toppings please click on below link.
https://brainly.com/question/29858706
#SPJ4
a student scores 68 on a geography test and a 249 on a mathematics test. the geography test has a mean of 80 and a standard deviation of 10. the mathematics test has a mean of 300 and a standard deviation of 34. if the data in both tests are distributed equally, which test did the student do better one?
Answers
The student did better in the test of Geography.
What is Standard Deviation ?The standard deviation is a measure of the amount of variation or dispersion of a set of values.
To solve this question, we will use the z-score formula to find the w test in which the student scored better. The z-score formula is;
z = (x - μ)/σ
Now, for Geography we have given :
Test score (x) = 68
Mean (μ) = 80
Standard deviation (σ) = 10
Thus, the z-score here will be :
z = (68 - 80)/10
z = -1.2
Similarly, for Mathematics we have given :
Test score (x) = 249
Mean (μ) = 300
Standard deviation (σ) = 34
Thus, the z-score here will be :
z = (249 - 300)/34
z = -1.5
Since the z-score for Geography is less than that of Mathematics, thus, we can conclude that the Geography test is the one in which the student scored better.
To learn more about Standard Deviation visit :
https://brainly.com/question/16985548
#SPJ4
im so bad at this. i really need help
Answers
Answer:
[D] \(\displaystyle \lim_{h \to 0} \frac{[5(x + h)^2 - 2(x + h)] - (5x^2 - 2x)}{h}\)
General Formulas and Concepts:
Calculus
Limits
Derivatives
Definition of a Derivative: \(\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}\)
Step-by-step explanation:
Step 1: Define
Identify
\(\displaystyle f(x) = 5x^2 - 2x\)
Step 2: Differentiate
Substitute in function [Definition of a Derivative]: \(\displaystyle f'(x)= \lim_{h \to 0} \frac{[5(x + h)^2 - 2(x + h)] - (5x^2 - 2x)}{h}\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
What do you notice? What do you wonder?
Answers
Solve for all values of x by factoring.
x^2−9x+3=3
Answers
\( \sf \longrightarrow \: {x}^{2} - 9x + 3 = 3\)
\( \sf \longrightarrow \: {x}^{2} - 9x + 3 - 3 = 0\)
\( \sf \longrightarrow \: {x}^{2} - 9x + 0 = 0\)
\( \sf \longrightarrow \: {x}^{2} - 9x = 0\)
\( \sf \longrightarrow \: x(x - 9) = 0\)
\( \sf \longrightarrow \: x(x - 9) = 0\)
\( \sf \longrightarrow \: x = 0 \qquad \: and \: \qquad x-9 =0\)
\( \sf \longrightarrow \: x = 0 \qquad \: and \: \qquad x =0+9\)
\( \sf \longrightarrow \: x = 0 \qquad \: and \: \qquad x =9\)
Noah buys 3 packages of pens each package has four blue pens and two black pens which equation can be used to find p
Answers
Answer:
p = 3*[ 4p+ 2p]
Step-by-step explanation:
Total number of pens = 3 times [ 4 blue pens + 2 black pens]
If we denote the total number of pens by p then the equation becomes
p = 3*[ 4.blue + 2black]
p = 12p+6p
p = 18p
There are total 18 pens out of which 12 pens are blue and 6 pens are black.
A line is graphed on the coordinate plane below. Another line y = -x + 2
will be graphed on the same coordinate plane to create a system of equations.
What is the solution to that system of equations?
A. (-2,4)
B. (0,-4)
C. (2,-4)
D. (4,-2)
Answers
The solution to the given system of equations y = -x + 2 are option A. (-2,4) and D. (4,-2).
What is a system of equations?A system of equations is two or more equations that can be solved together to get a unique solution. the power of the equation must be in one degree.
The equation is given as
y = -x + 2
here, we need to find the solutions to the equation, we can apply the given options one by one to satisfy the equation.
For the solution
A. (-2,4)
y = -x + 2
Substitute the value x = -2 and y = 4
y = 4
-x + 2 = -(-2) + 2 = 4
Thus, the given solution are the system of equation.
For the solution
B. (0,-4)
y = -x + 2
Substitute the value x = 0 and y = -4
y = -4
-x + 2 = 0 + 2 = 2
Thus, both the sides are not equal so, the given solution are not the system of equation.
For the solution
C. (2,-4)
y = -x + 2
Substitute the value x = 2 and y = -4
y = -4
-x + 2 = 2 + 2 = 4
Thus, both the sides are not equal so, the given solution are not the system of equation.
For the solution
D. (4,-2)
y = -x + 2
Substitute the value x = 4 and y = -2
y = -2
-x + 2 = -4 + 2 = -2
Thus, the given solution are the system of equation.
Learn more about the system of the equation;
https://brainly.com/question/12895249
Which fraction is equal to 0.54--
Answers
Answer:
27/50
Step-by-step explanation:
Answer:
27/50
Step-by-step explanation:
54 is another way of writing 54 hundredths, or as a fraction, 54/100. Asking for a simplified fraction is asking you to reduce the numerator and denominator by any common terms. 54 and 100 are both divisible by 2, so we get to 27/50. These have no factors in common, so 27/50 is our simplified fraction.
the sum of three consecutive integers is 261 , which equation could be used to find the integer .
Answers
Answer:
You got it wrong, its the first option
Step-by-step explanation:
Since its not asking for a consectuive EVEN or ODD integer its not
X + X+2 + X+4...
Instead its just the normal way
X + X+1 + X+2 + X+3....
SO thats the correct answer.
Hello! Can someone help me, please? Thank you so much!
Topic: possibility.
How many double digit numbers are there where the two digits are different from each other ?
Answers
Answer:
81
Step-by-step explanation:
double digit numbers begin at 10 and end at 99
10 → 19 has 10 double digits
20 → 29 has 10 double digits
and so on up to 90 → 99
that is there are 90 double digits from 10 → 99
double digits with same value are 11, 22, 33, 44, 55, 66, 77, 88, 99
that is 9 double digits with the same value
Then double digits with different values = 90 - 9 = 81
Answer:
81 double digits numbers.
Step-by-step explanation:
From 1 to 99, first 9 numbers are single digit numbers
Double digit numbers = 99 - 9 =90
In this 90 numbers, 11,22,33,44,55,66,77,88,99 have same digits.
90 - 9 = 81
how many 10-bit strings are there that contain exactly 4 ones?
Answers
By combinations, there are 210 10 bit strings which contains exactly 4 ones.
To find out how many 10-bit strings there are that contain exactly 4 ones, we can use the binomial coefficient formula.
The binomial coefficient formula is given by `C(n, k) = n! / (k! * (n-k)!)`,
where,
n is the total number of items, and k is the number of items
we want to choose from n. In this case, we want to choose 4 ones from 10 bits, so n = 10 and k = 4. Therefore, the number of 10-bit strings that contain exactly 4 ones is:
`C(10, 4) = 10! / (4! * (10-4)!) = 210`.
Hence, there are 210 10-bit strings that contain exactly 4 ones.
To know more about combinations refer here:
https://brainly.com/question/31586670#
#SPJ11
A coordinate plane with a line passing through (negative 3, negative 5), (0, 1), and (2, 5). A function f(x) is graphed. What is the slope of the function? m = What is the y-intercept of the function? b = Which equation represents the graph of the function?
Answers
\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Functions.
so after plotting the graphs, we get as,
==> m = 2.5
==> b = 0
==> y = mx+c
a straight line
Answer:
your answer is, because i got it right your welcome
Step-by-step explanation:
\( - \frac{x}{5 } = 25\)
what is the answer
Answers
Answer:
x = -125
Step-by-step explanation:
Step 1: Multiply both sides by -5.
\(-\frac{x}{5}* (-5) = 25 * (-5)\) \(x = -125\)Step 2: Check if solution is correct.
\(-\frac{(-125)}{5} = 25\) \(-(-25)=25\) \(25=25\)Therefore, x = -125.
Answer:
x = - 125
Step-by-step explanation:
- \(\frac{x}{5}\) = 25 ( multiply both sides by 5 to clear the fraction )
- x = 125 ( multiply both sides by - 1 )
x = 125
Elimination was used to solve a system of equations. One of the intermediate steps led to the equation 7x=12 . Which of the following systems could have led to this equation?
Answers
The equation 7x = 12 can be obtained through the elimination method when eliminating the variable 'y' in a system of equations. Let's explore the possible systems that could lead to this equation:
1. System 1:
Equation 1: 7x + y = 19
Equation 2: 3x - 2y = 5
By multiplying Equation 1 by 2 and adding it to Equation 2, we eliminate 'y' and obtain 7x = 12.
2. System 2:
Equation 1: 7x + 4y = 32
Equation 2: 5x + 2y = 22
By multiplying Equation 1 by 5 and subtracting Equation 2, we eliminate 'y' and obtain 7x = 12.
3. System 3:
Equation 1: 7x + 3y = 26
Equation 2: 4x + y = 20
By multiplying Equation 2 by 7 and subtracting Equation 1, we eliminate 'y' and obtain 7x = 12.
These are three examples of systems of equations that could have led to the equation 7x = 12 during the elimination method.
For more questions on elimination method, click on:
https://brainly.com/question/25427192
#SPJ8
Which expression is equivalent to (18x + 9k) + (2x + 6k)?
O 16x+3%
O 20x+ 15%
O 20X+ 16k
O 36x+54K
Answers
\((18x + 9k) + (2x + 6k)\)
\(18x + 2x = 20x\)
\(9k + 6k = 15k\)
\(20x + 15k\)
question of the day:
what is:
1,0009+274628 times 38986
Answers
Answer:
11, 096, 858, 082
Step-by-step explanation:
Firstly, add 10,009 and 274,628 together which is equal to 284, 637
then you're going to multiply 284,637 and 38,986
which is equal to 11,096,858, 082