Answer:
[tex]\huge\boxed{\sf (k + 8)(k + 8)}[/tex]
Step-by-step explanation:
Given expression:
[tex]k^2+16k+64[/tex]
We can write it as:
[tex]=(k)^2+2(k)(8)+(8)^2[/tex]
Using formula [tex]\bold{a^2+2ab+b^2=(a+b)^2}[/tex]
[tex]=(k+8)^2[/tex]
= (k + 8)(k + 8)
[tex]\rule[225]{225}{2}[/tex]
Deshaun needs 3000 for a future project. He can invest 2000 now at an annual rate of 9.5%, compounded semiannually. Assuming that no withdrawals are made, how long will it take for him to have enough money for his project? Do not round any intermediate computations, and round your answer to the nearest hundredth.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$3000\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years \end{cases}[/tex]
[tex]3000=2000\left(1+\frac{0.095}{2}\right)^{2\cdot t} \implies \cfrac{3000}{2000}=1.0475^{2t}\implies \cfrac{3}{2}=1.0475^{2t} \\\\\\ \log\left( \cfrac{3}{2} \right)=\log(1.0475^{2t})\implies \log\left( \cfrac{3}{2} \right)=t\log(1.0475^{2}) \\\\\\ \cfrac{\log\left( \frac{3}{2} \right)}{\log(1.0475^{2})}=t\implies 4.37\approx t\qquad \textit{about 4 years and 4 months and a half}[/tex]
Does anyone know how to Simplify: 8-2
Answer: 6
Step-by-step explanation: simplify is basically solving........
WILL GIVE 30 POINTS AND BRAINLIEST PLS HELP
Answer:
b
Step-by-step explanation:
This a very difficult question but im pretty sure its b
In 1977, the price of a scientific
calculator was $175. In 2004, the
price was $15. Assuming the change
in price was linear, what was the
approximate price of a scientific
calculator in 1998?
First, we need to find how many years are in between 1977 and 2004:
2004-1977 = 27
And the different between the prices:
175-15 = $160
Since this is supposed to be linear, we can do 160/27 which is about 5.925.
We can round this out to be about $6 cheaper per year, or $5.90.
New Berlin Corporation has annual fixed costs of $800,000, variable costs of $48 per unit, and a contribution margin ratio of 40 percent.
a. Compute the unit sales price and unit contribution margin for the above product.
b. Compute the sales volume in units required for New Berlin Corporation to earn an operating income of $600,000.
c. Compute the dollar sales volume required for New Berlin Corporation to earn an operating income of $600,000.
Based on the variable costs and contribution margin, the unit sales price is $80 and the unit contribution margin is $32.
The sales volume in units needed to earn $600,000 is 43,750 units and the amount in dollar sales needed is $3,500,000.
What is the unit sales price and unit contribution margin?The unit sales price can be found as:
= Variable cost / (1 - contribution margin ratio)
= 48 / (1 - 40%)
= $80
Unit contribution margin is:
= Selling price x Contribution margin ratio
= 80 x 40%
= $32
In units, this amount is:
= (Fixed cost + income required) / Contribution margin
= (800,000 + 600,000) / 32
= 43,750 units
In dollar terms the amount needed is:
= Units needed x selling price
= 43,750 x 80
= $3,500,000
Find out more on contribution margin at https://brainly.com/question/24039258.
An opaque bag contains three red, two blue, and four green
marbles. What is the probability of randomly pulling out a red
marble, replacing it, then randomly drawing another red
marble?
Answer:
1/9Step-by-step explanation:
Probability of drawing 1st red marble
No. (red) / No. (total)3 / (3 + 2 + 4)3/91/3 - P(1)Probability of drawing 2nd red marble
It states it is replacedNumber of red is same as the beginning and total number is sameP(2) = P(1)1/3 - P(2)Probability
P(1) x P(2)1/3 x 1/3P = 1/9Fill in the missing numbers to complete the linear equation that gives the rule for this table.
X Y
5 -5
6 -6
7 -7
8 -8
Y=___x + ___
Answer:
y = -x +0
Step-by-step explanation:
y = mx + b
y= slope * x + y-intercept
To find slope, use any x and y pair from the table, for example (x= 5, y= -5)
slope = y/x = -5/5 = -1
y= -x + b
To find b the y-intercept, substitute any x and y pair from the table, for example (x= 5, y= -5)
-5 = -5 +b
b = 0
The linear equation that gives the rule for this table is
y = -x + 0 or just y = -x
Two of the biggest disadvantages of the corporate form of business are government regulation and corporate
One of the biggest downsides for businesses (besides government regulation) is taxes.
What are taxes?The tax is a term to refer to a tribute that must be paid by an individual or group of people associated with a state without direct consideration.
How do taxes affect businesses?Taxes affect companies because the state establishes some special taxes for companies to export or import their products. In some cases, they are also assigned a tax for receiving large amounts of money as profit for their services.
Learn more about taxes in: https://brainly.com/question/1362871
Answer:taxes
Step-by-step explanation:
Find constants a and b such that = (axy + z3) i + (3x2 – z)j+-y)k is irrotational. Also find a scalar function Φ such that = Φ.
Thanks for the update. "Irrotational" means curl = zero, so we compute the curl, set it equal to zero, and solve for the constants.
[tex]\vec f(x,y,z) = (axy+z^3) \, \vec\imath + (3x^2-z) \, \vec\jmath + (bz^2-y) \, \vec k[/tex]
[tex]\nabla \times \vec f(x,y,z) = \left(\dfrac{\partial(bz^2-y)}{\partial y} - \dfrac{\partial(3x^2-z)}{\partial z}\right) \, \vec\imath - \left(\dfrac{\partial(bz^2-y)}{\partial x} - \dfrac{\partial(axy+z^3)}{\partial z}\right) \, \vec\jmath \\ ~~~~~~~~~~~~ + \left(\dfrac{\partial(3x^2-z)}{\partial x} - \dfrac{\partial(axy+z^3)}{\partial y}\right) \, \vec k[/tex]
[tex]\nabla \times \vec f(x,y,z) = 3z^2 \, \vec\jmath + (6-a)x \, \vec k[/tex]
At this point, all we can conclude is that a = 6 to make the k-component vanish. Unfortunately there's no zeroing out the j-component, so the field as given is *not* irrotational.
As I mentioned in comments, if the i-component had instead been [tex]axy+bz^3[/tex], we would have ended up with
[tex]\nabla \times \vec f(x,y,z) = 3bz^2 \, \vec\jmath + (6-a)x \, \vec k[/tex]
in which case we would have b = 0.
I'll continue working with this "fixed" field to find Φ, if only to give you an idea of how to proceed. We want a scalar function Φ(x, y, z) such that the given vector field is the gradient of f. This would entail solving the partial differential equations,
[tex]\dfrac{\partial\Phi}{\partial x} = axy+bz^3 = 6xy[/tex]
[tex]\dfrac{\partial\Phi}{\partial y} = 3x^2 - z[/tex]
[tex]\dfrac{\partial\Phi}{\partial z} = bz^2-y = -y[/tex]
Let's start with the last equation. Integrating both sides with respect to z yields
[tex]\Phi(x,y,z) = \displaystyle \int (-y) \, dz = -yz + g(x,y)[/tex]
Now differentiate both sides with respect to y :
[tex]\dfrac{\partial\Phi}{\partial y} = -z + \dfrac{\partial g}{\partial y} = 3x^2 - z \implies \dfrac{\partial g}{\partial y} = 3x^2[/tex]
Integrate both sides of the latter PDE with respect to y to solve for g :
[tex]g(x,y) = \displaystyle \int 3x^2 \, dy = 3x^2y + h(x)[/tex]
Now we differentiate Φ with respect to x :
[tex]\Phi(x,y,z) = -yz + 3x^2y + h(x) \\\\ \dfrac{\partial\Phi}{\partial x} = 6xy + \dfrac{dh}{dx} = 6xy \implies \dfrac{dh}{dx} = 0[/tex]
Integrate to solve for h :
[tex]h(x) = \displaystyle \int 0 \, dx = C[/tex]
where C is an arbitrary constant.
So the scalar function whose gradient is our "fixed" field f is
[tex]\Phi(x,y,z) = -yz + 3x^2y + C[/tex]
taylor has saved up $300 so far and is saving $40 per week for some $900 shoes write an equation to model her savings and sketch a graph how many days will it take to save up enough money for the shoes
Answer:
the answer is 1,240
Step-by-step explanation:
you have to add them all up and you will git 1,240.hope this helps if not please let me know
Car A moves from (6,3) to (4,1). Car B starts at (3,5). Where will it move to if it uses the same translation as car A.
Answer:
it will move from (3,5) to (1,3)
sally was playing checkers with a friend. The ratio of games sally won to lost was 9 : 5 if sally won 36 games, how many games did her friend win?
Answer:
20
Step-by-step explanation:
36/9 = 4
4x5= 20
Matthew is at the beach with is family, Housing a rectangular prism shaped container to mold sand for his sandcastle. The container has the following dimensions. 12 in. by in. by in.
a)Matthew noticed that the container was one fourth full of sand. How many more cubic inches of sand would be required to fill the container ? Show your work.
b) Matthew's father has a container that has dimensions that are each double the dimensions of Mathew's container.Matthew thought that the volume would be also double. Is Matthews correct? How many times greater is the volume of the larger container the the volume of the smaller one? Show your work and explain the reasoning. Can someone help ? thanks
When Matthew noticed that the container was one fourth full of sand, the remaining volume quantity needed is 432 inches³.
How to calculate the volume?The container has the following dimensions. 12 in. by 8in. by 6in. Therefore, the volume will be:
= 12 × 8 × 6
= 576 inches.
Since Matthew noticed that the container was one fourth full of sand, the remaining quantity needed will be:
= 576 - (1/4 × 576)
= 576 - 144
= 432 inches³.
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Solve the system of linear equations given below using substitution or elimination.
2x + 3y = 12
3x + y = 11
Answer:
point form: (3,2), equation form: x=3, y=2
Step-by-step explanation:
t will be awarded for all answers
1.) A catering service is making up trays of hors d'oeuvres. The hors d'oeuvres are categorized as inexpensive, average, and expensive. If the client must select 2 of the 6 inexpensive, 5 of the 7 average, and 3 of the 5 expensive hors d'oeuvres, how many different choices are possible?
2.)A food company is testing 5 chocolate chip cookies, 4 crackers, and 7 reduced-fat cookies. If it plans to market 1 of the chocolate chip cookies, 1 of the crackers, and 4 of the reduced-fat cookies, how many different combinations are possible?
from the 8 male and 8 female sales representatives for an insurance company, a team of 3 men and 4 women will be selected to attend a national conference on insurance fraud.
In how many ways can the team of 7 be selected?
Using the combination formula, it is found that the number of possible outcomes are given by:
1. 3150
2. 700.
3. 3920.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Item 1:
We have combinations of 2 from 6, 5 from 7 and 3 from 5, all independent, hence we multiply them:
[tex]T = C_{6,2}C_{7,5}C_{5,3} = 15 \times 21 \times 10 = 3150[/tex]
3150 different choices are possible.
Item 2:
1 from 5, 1 from 4 and 4 from 7, hence:
[tex]T = C_{5,1}C_{4,1}C_{7,4} = 5 \times 4 \times 35 = 700[/tex]
700 different combinations are possible.
Item 3:
3 men from a set of 8, 4 women from a set of 8, hence:
[tex]T = C_{8,3}C_{8,4} = 56 \times 70 = 3920[/tex]
3920 ways to select the team of 7.
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The sum of three consecutive number is forty two what are the numbers
Answer:
Thus, 12+14+16=42.
Step-by-step explanation:
Hope this helps.
Robert wants to make a small batch of japchae. He needs
4 1/6 oz of noodles. His scale shows he has 4.18 oz of noodles. Does Robert have enough noodles? How do you know?
Comparing the measurement needed for the batch and the measurement of the scale, Robert does not have enough noodles.
What are fractions and decimals?A fraction is a non-integer. It is made up of numerators and denominators. A decimal is a non-integer where the integers are differeniated from a non-integer by a decimal point.
Does Robert have enough noodles?In order to determine the answer, convert the fraction to a decimal by dividing the numerator by the denominator.
4 1/6 = 4. 17
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a persons car traveled 60 miles in 45 minutes, how many miles per hour was it traveling?
Your bank offers a promotion where they'll give you $5 for every $100
you deposit into a savings account.
If you deposit $800, how much will the bank give you?
$45
$50
$60
$40
Answer: C. Forty dollars.
Step-by-step explanation: $5 times eight hundreds equals forty, therefore you will get $40 from the bank.
40 if u take 100 8 times then it will be 800 and You only times 8by 5 then or 5by 8
also if possible can i have brainliest
What is x? if necessary, round to the nearest tenth.
Answer:
x = 4
Step-by-step explanation:
I don't know I tried i just divided 3 by 3x and 12
Karen surveyed students in one middle school about their favorite band. Of the 1,156 students in the middle school, 65 sixth-grade students were surveyed. More than half of the 65 students said their favorite band is Rhonda and the Gees. Based on the survey, Karen says most middle school students’ favorite band is Rhonda and the Gees. Why is Karen’s statement incorrect? *
(A)Karen surveyed too many students.
(B)Karen’s survey sample was too small.
(C)Karen did not survey any high school students.
(D)Karen did not include enough bands in the survey.
please answer this i need help :p
what is 2 +2 { 25 points }
1. 22
2. 4
Answer:
4
Step-by-step explanation:
if you have 2 apples and you get 2 more apples how many do you have.
Which quadrant would each ordered pair be in?
(3,-4)
(12, 9)
(-2, 7)
(2, -5)
Answer:
A. is the correct answer.
Branliest????
Step-by-step explanation:
9-9/9+9-9/9=?
I have hard time with math :(
Answer:
16
Step-by-step explanation:
well, if you remember P.E.M.D.A.S, which is the order for doing equations, the first two dont matter, but from M for Multiplication, D for Division, A for addition, and finally S for Subtraction, those are the ones that you need here. So you divide the 9s first giving you 9-1+9-1=8+8=16.
the perimeter of a regular triangle is 81cm. what is the length of one side
Answer:
27 cm.
Step-by-step explanation:
As there are 3 sides in a triangle and this is regular , the length of one side
= 81/3
= 27 cm
A spinner has 18 equal-sized sectors labeled 1 through 18. The spinner is spun once.
What is the probability that the spinner lands on an even number or a number greater than 10?
1/2 4/9 11/18 13/18
Answer:
2/9
Step-by-step explanation:
12,14,16,18 are all greater than 10, which is 4/18 numbers, simplified as 2/9
Answer: 13/18
Step-by-step explanation:
First you add up the amount of even numbers and the amount of numbers greater than 10
2,4,6,8,10 make 5 then add 8 more for 11-18, leaving you with 13 then take 13 and divide it by the total (18) and you will get 0.72 or 13/18
Algebra 1.
13. Write a system of linear equations that has the ordered pair (3, -5) as its solution.
Answer:
[tex]x + y = -2\\x-y=8[/tex]
Step-by-step explanation:
3 is the [tex]x[/tex], and -5 is the [tex]y[/tex].
1) Create two equations that add and subtract them.
[tex]x + y = -2\\x-y=8[/tex]
2) Check whether you get the same answer (3,-5) or not. To do so, you need to solve them simultaneously using the elimination or substitution method. I will demonstrate using the substitution method.
[tex]x = -2 - y\\x-y=8\\(-2 - y) -y =8\\-2-2y=8\\-2y = 8 + 2\\-2y = 10\\y = \frac{10}{-2} \\y = -5[/tex]
To find [tex]x[/tex], substitute the result into one of the two equations. I choose [tex]x+y=-2[/tex].
[tex]x-5=-2\\x = -2 +5\\x = 3[/tex]
Find all common factors of ...
128 and 129
Answer:
1
Step-by-step explanation:
The only common factor is one. If an odd number and and even number are next to each other, and you are calculating the common factors, the common factor is one.
Write an expression which can
be used to describe the area in
square units of a rectangle that
has a length of 5x3y5z2 units
and a width of 3x2yz4 units.
Answer:
15x^2 6y^2 5z^6
Step-by-step explanation:
area = length x width
area = 5x3y5z^2 * 3x2yz^4