Answers
I believe the answer is B: -3/4.
Related Questions
If a house is worth $125,000 and depreciates by 7.5% per year, how much is it worth in two
years?
Answers
Answer:
18750
Step-by-step explanation:
so since it's 2 years we have to double 7.5 which is 15%. Then we multiply 15 x 125,000 which is 18,750
After two years of depreciation the house would be worth approximately $106,953.
To calculate the worth of the house after two years of depreciation, you need to apply the depreciation rate for each year.
After the first year, the value of the house would decrease by 7.5%.
So, the worth of the house after one year is:
125,000 - (7.5% of 125,000)
= 125,000 - (0.075 × 125,000)
= 125,000 - 9,375
= $115,625.
Now, to find the worth of the house after the second year, you need to apply the depreciation rate again:
115,625 - (7.5% of 115,625)
= 115,625 - (0.075 × 115,625)
= 115,625 - 8,671.88
= 106,953.
So, the house would be worth approximately $106,953 after two years of depreciation.
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A 47-inch piece of steel is cut into three pieces so that the second piece is twice as
long as the first piece, and the third piece is two inches more than six times the
length of the first piece. Find the lengths of the pieces
2x
6x+2
First, find an equation that represents the total length of the piece of steel in terms of x by adding the three pieces together,
Answers
Answer:
first piece: 5 in second piece: 10 in third piece: 32 inStep-by-step explanation:
x - the length of the first piece
2x - twice the length of the first piece (the length of the second piece)
6x - six times the length of the first piece
two inches more:
6x+2 - the length of the third piece
first + second + third = 47 in {total length of the pieces of steel}
x + 2x + 6x + 2 = 47
9x + 2 = 47
9x = 45
x = 45:9
x = 5 in
first piece: 5 in
second piece: 2×5 = 10 in
third piece: 6×5 + 2 = 30 + 2 = 32 in
Riley worked 5 1/4 hours on Monday 3 3/8 hours on Tuesday and 2 5/6 hours on Wednesday he rounded the hours to five 3 and 2 before adding them together to get 10 hours did he make a high or low estimate
Answers
Answer:
Low estimate
Step-by-step explanation:
2 5/6 rounded is 3 so the total would be 11 hours if everything is rounded.
Answer:
The answer is low
two poles 8m and 13m high
are placed opposite to each other across a 12
metre long road find the distance
between their tops
Answers
Answer:
13 m
Step-by-step explanation:
The distance x is:
x = √12² + (13 -8)² = √144 + 25 = √169 = 13 m
A group of 37 families will share the cost of building a new playground in their neighborhood  The playground Will cost 3,145 how much will each family have to pay
Answers
Answer:
37÷3,145
=85+5
=90-37
=53
Area= 7 1/4 x 11 2/3
Answers
Answer:
Area=84.5833333333
Step-by-step explanation:
Answer:
Step-by-step explanation:
To make this easy, convert them both into improper fractions.
Multiply 7x4= 28 + 1 = 29/4
Multiply 11 x 2 = 22 +3= 25/2
29/4 x 25/2 = 725/8
simplified it is 90 5/8
Hope this helps :)
Simplify (2^3)^–2 ment to put this
Answers
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
[tex]\left(2^3\right)^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\left(2^3\right)^{-2}=2^{3\left(-2\right)}\\\\3\left(-2\right)=-6\\=2^{-6}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\2^{-6}=\frac{1}{2^6}\\\\2^6=64\\\\=\frac{1}{64}[/tex]
Answer:
1/64
Step-by-step explanation:
[tex]\left(2^3\right)^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\\\left(2^3\right)^{-2}=2^{3\left(-2\right)}\\\\3\left(-2\right)=-6\\\\=2^{-6}\\\\=\frac{1}{2^6}\\\\2^6=64\\\\=\frac{1}{64}[/tex]
the value of the function f(x)=6x + 3 at 4 is
Answers
solution
Answer:
here we go 6×4+3
now 24+3
hence the answer is
27 ans
Answer:
x = -2
Step-by-step explanation:
f(x) = 6 x + 3×4
f(x) = 6 x + 12
6 (x + 2) = f(x)
x = -2
Hope I helped! Please label me as Brainliest!
if you could generate energy by fusing the hydrogen in solution a, how much of the solution would you need to generate the electrical energy used daily in a certain home? energy released by fusion of hydrogen in 1 liter of solution A = 7.6*10^10 Electrical energy used daily in a certain family home = 3*10^4
Answers
Answer:
We know that:
Energy released by fusion of hydrogen in 1 liter of solution A = 7.6x10^10 J
Energy used daily in a certain family home = 3x10^4 J
(you did not write the units, so i suppose that are the same in both cases)
Then, if x is the number of liters of solution A used, the energy produced will be:
E(x) = x*7.6x10^10 J
And we want this equal to 3x10^4
then:
E(x) = x*7.6x10^10 J = 3x10^4 j
now we solve this for x.
x = (3x10^4 j)/(7.6x10^10 j) = 3.9x10^-7
Then you need to use 3.9x10^-7 L of solution a.
Which of the following are quadratic functions A. Y =5x-3/2+x^2 B. Y=x^2+5x-2 C. Y=-x+2 D. Y=x-1/x
Answers
Answer:
A and B
Step-by-step explanation:
Quadratic Equations: f(x) = a(bx - h)² + k
Quadratic equations always have a degree of 2. That means that we will always have an x² term. Of the 4 choices, only A and B offer a term of x², making them a quadratic.
Answer:
Y = 5x - 3/2 + x^2
Y = x^2 + 5x - 2
Step-by-step explanation:
The function must contain x^2.
That is have a degree of 2.
one more than seven times the difference of a number and 4 is equivalent to twice the difference of the number and 1
Answers
Answer:
the number is 5
Step-by-step explanation:
We have to find the equation to solve the problem.
Let the number be x
lets write one more than seven times the difference of a number and 4 in mathematical form
1. Difference of number and 4 will be written as x - 4
now
2. seven times the difference of a number and 4 will be written as
7*( x - 4)
3. one more than seven times the difference of a number and 4 is expressed as
1 + 7*( x - 4)
_____________________________________________
1 + 7*( x - 4) is equal to twice the difference of the number and 1
4. difference of the number and 1 is x - 1
5. twice the difference of the number and 1 is 2*(x-1)
Thus,
1 + 7*( x - 4) = 2*(x-1)
=> 1 + 7x - 28 = 2x -2
=> 7x - 27 = 2x - 2
adding 27 both sides
=> 7x - 27 + 27 = 2x - 2 + 27
=> 7x = 2x + 25
subtracting 2x from both sides
7x -2x = 2x + 25 - 2x
=> 5x = 25
dividing both side by 5
5x/5 = 25/5
x = 5
Thus, the number is 5 answer
-8=x+11/2 please help me
Answers
Answer:
Hey there!
-8=x+11/2
-16/2=x+11/2
-27/2=x
Let me know if this helps :)
Answer: -27/2 or -27
Step-by-step explanation:
You didn't use parentheses so the equation isn't clear.
I answered for both possibilities.
[tex]-8=x+\dfrac{11}{2}\\\\\\-8-\dfrac{11}{2}=x\\\\\\-\dfrac{16}{2}-\dfrac{11}{2}=x\\\\\\\large\boxed{-\dfrac{27}{2}=x}[/tex]
[tex]-8=\dfrac{x+11}{2}\\\\\\-8(2)=\dfrac{x+11}{2}(2)\\\\\\-16=x+11\\\\\\-16-11=x\\\\\\\large\boxed{-27=x}[/tex]
Need help quick Solve each equation for x. x to the power of 2= 1/100
Answers
Answer:
x=1/10
Step-by-step explanation:
x^2=1/100
x=root(1/100)
x=1/10
Answer:
[tex]x = \frac{1}{10}[/tex]
Step-by-step explanation:
If x squared gets us [tex]\frac{1}{100}[/tex], then we can create the equation [tex]x^2 = \frac{1}{100}[/tex].
To solve for x, we find the square root of both sides.
[tex]\sqrt{x^2} = \sqrt{\frac{1}{100}}[/tex]
The square root of [tex]\frac{1}{100}[/tex] is [tex]\frac{1}{10}[/tex], since [tex]10\cdot10=100[/tex].
This means [tex]x = \frac{1}{10}[/tex].
Hope this helped!
What next three numbers come in this sequence 1/4, 1/2, 3/4
Answers
Answer:
4/4, 1 1/4, 1 1/2, 1 3/4
Step-by-step explanation:
It moves by fourths so it goes 1/4, 2/4, 3/4, and so on.
Hope This Helps :)
4/4, 5/4, and 6/4 will come in the given sequence of the pattern.
What is the pattern?A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.
The hint which is present in a given pattern hides in the pattern only.
For example 2,4,6,8 in this, the difference between any two-term is only 2 and this will be its specific pattern.
Another example is 2,4,16,256 in this pattern each term is the square of the previous term and this will become its specific pattern.
Given the pattern,
1/4, 1/2, 3/4
Now if we look then we will get to know that if we add 1/4 consecutively then the next term will come.
For example
1/4 + 1/4 = 1/2
1/4 + 1/4 + 1/4 = 3/4
So,
The next three terms will be
4/4,5/4 and 6/4.
Hence "4/4, 5/4, and 6/4 will come in the given sequence of the pattern".
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In the figure above, triangle ABC is inscribed in the circle with center O and diameter AC. If AB=AO, what is the degree measure of∠ABO?
(A) 15°
(B) 30°
(C) 45°
(D) 60°
Answers
A group incoming first-year students at Major University were surveyed in order to determine the factors that influenced their decisions to choose to attend Major U. The survey revealed the following information. 55 said "great football team" (F) 51 said "excellent party reputation" (P) 61 said "it was the only place that would accept me" (O) 9 said "great football team" but didn't say "excellent party reputation" and didn't say "it was the only place that would accept me" 26 said "it was the only place that would accept me" and "great football team" and "excellent party reputation" 31 said "excellent party reputation" and "great football team" 8 said only "excellent party reputation" 4 said none of the above reasons Required:a. How many said "it was the only place that would accept me" and "excellent party reputation"? b. How many said "great football team "or "it was the only place that would accept me"? c. How many said "great football team "but no "excellent party reputation"? d. How many were surveyed?
Answers
Answer:
Step-by-step explanation:
This is a problem of SETS.
Start by listing out important data:
1. Total that said F = 55
2. Total that said P = 51
3. Total that said O = 61
4. F only = 9
5. F ∩ P ∩ O = 26 [NOTE: If you were to draw a Venn Diagram, 26 would be in the innermost circle because it comprises all three categories]
6. F ∩ P = 31
7. P only = 8
8. Students that said none of the 3 reasons = 4
QUESTIONS
1. How many said O and P? In other words, find the intersect of O and P. Find O ∩ P
2. How many said either F or O? [Answer to be gotten using a venn diagram] Find F ∪ P which translates to "F union P"
3. How many said F without saying P? [Answer to be gotten from the venn diagram as well]
4. How many students in total were surveyed? [HINT: Remember to include the 4 students that had none of the three options]
A) 12 said "it was the only place that would accept me" and "excellent party reputation"; B) 17 said "great football team" or "it was the only place that would accept me"; C) 24 said "great football team" but no "excellent party reputation"; and D) 87 students were surveyed.
Given that a group incoming first-year students at Major University were surveyed in order to determine the factors that influenced their decisions to choose to attend Major U, and the survey revealed that 55 said "great football team" (F), 51 said " excellent party reputation "(P), 61 said" it was the only place that would accept me "(O), 9 said" great football team "but didn't say" excellent party reputation "and didn't say" it was the only place that would accept me ", 26 said" it was the only place that would accept me "and" great football team "and" excellent party reputation ", 31 said" excellent party reputation "and" great football team ", 8 said only "excellent party reputation", and 4 said none of the above reasons, to determine:
A) How many said "it was the only place that would accept me" and "excellent party reputation"?
B) How many said "great football team" or "it was the only place that would accept me"?
C) How many said "great football team" but no "excellent party reputation"?
D) How many were surveyed?
The following calculations must be performed:
F = 55 (F = 9 + FP = 5 + FO = 15 + FPO = 26) = 55 - (26 + 9) = 20 - (31 - 26) = 15 = 9 + 5 + 15 + 26 = 55 // / FO = 15 /// FP = 5 P = 51 (P = 8 + PF = 5 + PO = 12 + PFO = 26) = 51 - 8 - 5 - 26 = 12 /// PO = 12 O = 61 (O = 8 + OP = 12 + OF = 15 + OPF = 26) = 61 - 12 - 15 - 26 = O = 8 None = 4 4 + 9 + 8 + 8 + 5 + 12 + 15 + 26 = X 87 = X
Therefore, A) 12 said "it was the only place that would accept me" and "excellent party reputation"; B) 17 said "great football team" or "it was the only place that would accept me"; C) 24 said "great football team" but no "excellent party reputation"; and D) 87 students were surveyed.
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{7, 8, 9, 10} {9, 10, 11, 12} Which of the following shows the intersection of the sets? A. {9, 10} B. {7, 8, 9, 10} C. {9, 10, 11, 12} D. {7, 8, 9, 10, 11, 12}
Answers
Answer:
{ 9 , 10 }Option A is the correct option.
Step-by-step explanation:
Let the sets be A and B
A = { 7 , 8 , 9 , 10 }
B = { 9 , 10 , 11 , 12 }
The intersection of sets A and B is the set of all ements which belongs to both A and B.
The intersection of sets A and N is denoted by ( A ∩ B ) and read as A intersection B.
A ∩ B = { 7 , 8 , 9 , 10 } { 9 , 10 , 11 , 11 , 12 }
Now, list the elements which are present in both sets. A ∩ B = { 9 , 10 }
Hope I helped!
Best regards!
Answer:
its a
Step-by-step explanation:
What is equal to 4 1/2 dividend by 2 2/3
Answers
Answer:
Step-by-step explanation:
9/2 / 8/3
9/2 x 3/8
27/16 = 1 13/16
Answer:
9/2 / 8/3
IS THE POSSIBLE ANSWER TO THIS EQUATION.
What is the value of x in 3x-9
Answers
Answer:
x could be anything. you have to have a equation to solve for x.
Step-by-step explanation:
3x-9=0
add 9 to both sides so:
3x=9
and divide by 3 so:
x=3
In 9 days a group of workers can plant 54 acres what’s there rate in acres per day
Answers
Answer:
Step-by-step explanation:
9 3/4 acres in 3 3/8 days = 9 6/8 acres in 3 3/8 days
(72 + 6)/8 = 78/8
(24 + 3)/8 = 27/8
78/8 divided by 27/8 = 78/27 = 26/9 or 2 8/9 acres/day
6 acres per day
Explanation:
Because you want to narrow it down to 1 day, you divide the total amount of acres by the total days. 54/9=6, meaning they plant 6 acres each day.
HELLLLLPPPPPPP PLZZZZZZ HELP A$AP PLZZZZZZZZZ I WILL MARK BRAINLEST
Answers
Answer:
$430
Step-by-step explanation:
Step 1:
300 - 50
Step 2:
350 + 20
Step 2:
370 + 60
Answer:
$430
Hope This Helps :)
Josie found a job with an annual salary of $67.3K. What is her monthly pay, rounded to the nearest dollar?
Answers
Answer:
$5,608
Step-by-step explanation:
Since there are 12 months in one year, divide her annual salary by 12.
$67,300/12 = $5,608.33 ≈ $5,608
Josie makes $5,608 per month.
Answer:
5608
Step-by-step explanation:
annual salary=$67.3k
it is annual
so
monthly salary=$67.3÷12
=$5608.33333333
rounded off top the nearest dollar= $5608
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In a game, the two players scored a total of 121 points. One player had 13 more points than the other player. How many points did the player with the fewer points score? Group of answer choices 67 54 108 52
Answers
Answer:
Answer is 54 . IT is the correct answer
Step-by-step explanation:
Hope it is helpful for you
The sport of korfball is played by teams of eight players. Each team has fourmen and four women on it. Halliday High School has seven men and 11 women interested in playing korfball.In how many ways can they form a korfball team from their 18 interested students
Answers
Answer:
There are 11550 possible selections
Step-by-step explanation:
Given
[tex]Men = 7[/tex]
[tex]Women = 11[/tex]
Required
How many ways can 4 men and 4 women be selected
The keyword in the question is SELECTION and it means COMBINATION;
So, number of selection is:
[tex]Number = Men * Women[/tex]
[tex]Number = ^7C_4 * ^{11}C_4[/tex]
This gives
[tex]Number = \frac{7!}{(7-4)!4!} * \frac{11!}{(11-4)!4!}[/tex]
[tex]Number = \frac{7!}{3!4!} * \frac{11!}{7!4!}[/tex]
[tex]Number = \frac{7 * 6 * 5 * 4!}{3!4!} * \frac{11 * 10 * 9 * 8 * 7!}{7!4!}[/tex]
[tex]Number = \frac{7 * 6 * 5}{3!} * \frac{11 * 10 * 9 * 8}{4!}[/tex]
[tex]Number = \frac{7 * 6 * 5}{3 * 2 * 1} * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}[/tex]
[tex]Number = \frac{7 * 6 * 5}{6} * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}[/tex]
[tex]Number = 7 * 5 * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}[/tex]
[tex]Number = 7 * 5 * \frac{7920}{24}[/tex]
[tex]Number = 7 * 5 * 330[/tex]
[tex]Number = 11550[/tex]
Hence;
There are 11550 possible selections
Jeremy Sullivan delivers newspapers for the Dispatch. He receives 14.20 per
paper, 6 days a week (for the daily paper), and 500 for the Sunday paper. He
delivers 124 daily papers each day and 151 Sunday papers each week. What is
his total pay for the week?
Answers
Answer:
Total earnings per week
=18114.8¢
Step-by-step explanation:
He receives 14.20¢ per paper, 6 days a week.
He receives 50¢ for the Sunday paper.
He delivers
124 daily papers each day
He earns= 124*14.20*6
He earns=10564.8¢
151 Sunday papers each week.
He earns= 151*50
He earns= 7550¢
Total earnings per week
=10564.8+7550
=18114.8¢
describe the correct error a student made when solving the equation 4=-2(x-3) what is the correc scolution?
Answers
Answer:
x =1
Step-by-step explanation: Correct solution
[tex]4=-2(x-3) \\\\\mathrm{Switch\:sides}\\-2\left(x-3\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x-3\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x-3=-2\\x-3+3=-2+3\\\\Simplify\\x = 1[/tex]
5/6 equals 1/3 plus d what does d equal
Answers
It equals 1 1/6 + d.
In other words, one and one sixth plus d.
A bicycle is traveling at 20 miles per hour.
How many feet will it cover in 25 seconds?
Round your answer to the nearest tenth of a foot.
Answers
Answer:
Distance= 73.333 feet
Step-by-step explanation:
Speed of the bicycle= 20 miles per hour
1 mile =
5280 feet
I hour= 3600 seconds
Speed in feet/seconds=( 20*5280)/(3600)
Speed in feet/second= 29.333 feet/s
Distance= speed*Time
Distance= 29.333*25
Distance= 73.333 feet
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 1 + sec(x), −π 3 ≤ x ≤ π 3 , y = 3; about y = 1
Answers
Using the washer method, the volume is given by the integral
[tex]\displaystyle\pi\int_{-\pi/3}^{\pi/3}\bigg((3-1)^2-((1+\sec x)-1)^2\bigg)\,\mathrm dx=2\pi\int_0^{\pi/3}(4-\sec^2x)\,\mathrm dx[/tex]
where 3 - 1 = 2 is the distance from y = 3 to the axis of revolution, and similarly (1 + sec(x)) - 1 = sec(x) is the distance from y = 1 + sec(x) to the axis. The integrand is symmetric about x = 0, so the integral "folds" in on itself, and the integral from -π/3 to π/3 is twice the integral from 0 to π/3.
So the volume is
[tex]\displaystyle2\pi\int_0^{\pi/3}(4-\sec^2x)\,\mathrm dx=2\pi(4x-\tan x)\bigg|_0^{\pi/3}=\boxed{\dfrac{8\pi^2}3-2\pi\sqrt3}[/tex]
Solve 10-5x+1=7x+11-12
Answers
Answer:
x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
10−5x+1=7x+11−12
Step 1: Simplify both sides of the equation.
10−5x+1=7x+11−12
10+−5x+1=7x+11+−12
(−5x)+(10+1)=(7x)+(11+−12)(Combine Like Terms)
−5x+11=7x+−1
−5x+11=7x−1
Step 2: Subtract 7x from both sides.
−5x+11−7x=7x−1−7x
−12x+11=−1
Step 3: Subtract 11 from both sides.
−12x+11−11=−1−11
−12x=−12
Step 4: Divide both sides by -12.
−12x
−12
=
−12
−12
x=1