When the non-refundable fee increases to $15, the y-intercept is also increased to 15. The graph are parallel to each other but only touches the y-axis at 10 and 15 respectively
Linear EquationLinear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.
Linear equations are generally represented in the form
y = mx + c
c = y-interceptm = slopeThe y-intercept is the point at which the graph touches the y - axis
In the question, we are given an equation f(h) = 8h + 10
The slope and y - intercept here are 8 and 10 respectively.
However, when the non-refundable deposit is increased to 15, the y - intercept is increase by 5 units to becomes 15.
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Kim is solving the absolute value inequality |2x – 1| + 3 2x –1 rather than –3 –2.
Answer:fbf
Step-by-step explanation:
Mrs smith invested r60 000 at a bank for two years with compound interest.in the first year she received an interest rate of 4,3% per annum while in the second year the interest rate was 5,1 per annum mrs smith stated that she would have enough money at the end of second year to pay the residual value of the ford figo show all calculations whether het statement is correct
By using the formula of compound interest we can say that at the end of second year Mrs. Smith will have $65,771.58.
What is Compound Interest?The interest earned from the initial deposit plus the cumulative interest is known as compound interest.
A = P(1 + r/n)^(nt), where P is the principle balance, r is the interest rate, n is the number of times interest is compounded per time period, and t is the total number of time periods, is the formula for compound interest.
Given that,
For first year,
P (principal) = $60,000.00
R = 4.3%
n = 1
t = 1
First, convert R as a percent to r as a decimal
r = R/100
r = 4.3/100
r = 0.043 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 60,000.00(1 + 0.043/1)^(1×1)
A = 60,000.00(1 + 0.043)^(1)
A = $62,580.00
A = P + I where,
P (principal) = $60,000.00
I (interest) = $2,580.00
So, by the end of second year Mrs. Smith will have $62,580.00.
Now, the amount calculated from first year will become the principle for second year.
For second year,
P (principal) = $62,580.00
R = 5.1%
n=1
t=1
First, convert R as a percent to r as a decimal
r = R/100
r = 5.1/100
r = 0.051 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 62,580.00(1 + 0.051/1)^(1×1)
A = 62,580.00(1 + 0.051)^(1)
A = $65,771.58
A = P + I where,
P (principal) = $62,580.00
I (interest) = $3,191.58
So, by the end of second year Mrs. Smith will have $65,771.58.
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......................
Answer:
45/100Step-by-step explanation:
I hope l helped you. ❤❤elliot borrowed $3800 from the bank for 3 years at a 4.25% simple interest rate?
$161.50
Step-by-step explanation:
4.25% of $3800 is $161.50
Barinda is considering running for student government. However, she knows she will have to work about 10 hours fewer per week if elected, and she makes $ 7 an hour. The campaign will also cost her about $100 in campaign buttons and posters. What is her opportunity cost for serving on student government if elected if she actively serves for 30 weeks?
Answer: $2,200
Step-by-step explanation:
The opportunity cost is the sum of the amount she spent on the election and the amount she would lose in total from serving on the student government.
Amount she would lose in wages
= 7 * 10 hours * 30 weeks
= $2,100
Opportunity cost = 2,100 + 100
= $2,200
if an is a monotone sequence and if an has a convergent subsquence then an converges to the same limit
limₐ→∞xₙₐ= limₙ→∞xₙ= L;
Let xₙ be a monotonically increasing sequence. Thus:
xₙ₊₁≥xₙ
Consider a subsequence of xₙ namely xₙₐ. Then:
xₙₐ≥xₙ, ∀nₐ≥n
We are also given that:
limₐ→∞xₙₐ=L
Given that fact we know that xₙₐ is bounded above. Therefore:
xₙ≤xₙₐ≤L
Now by monotone convergence theorem a monotone bounded sequence must be convergent. Also by uniqueness of a limit for a convergent sequence and the fact that all its subsequences are also convergent to the same limit:
limₐ→∞xₙₐ= limₙ→∞xₙ= L
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what error did the student make?? PLEASE HELP ME
Answer:
He did an error because he multiplied equation 2 wrongly.
The correct multiplication should have been:
-6x + 9y = 6 Multiply equation by 2 by 3
Step-by-step explanation:
Given the system of equations
3x-5y=4
-2x+3y=2
This is what student solved
6x - 10y = 8 Multiply equation 1 by 2
-6x + 3y = 6 Multiply equation by 2 by 3
_________
-7y = 14
y = -2
He did an error because he multiplied the equation 2 wrongly.
The correct multiplication should have been:
-6x + 9y = 6 Multiply equation by 2 by 3
NOW, HERE IS THE CORRECT VERSION
6x - 10y = 8 Multiply equation 1 by 2
-6x + 6y = 6 Multiply equation by 2 by 3
_________
-4y = 14
y = -2/7
the sum of two numbers is 32 when 5 is subtracted from fourth and one of the number the result is 8 times the other number find the difference between the two numbers
We will need to use the substitution method to solve the question. The difference between the two numbers is 11.5
Substitution method is used to solve a system of equations. First the equation is solved for one variable and then the value is used in the other equation to solve for the other unknown variable. In this question we have been told the sum of two numbers is 32. Let us take the two numbers as x and y. Then we can say that
x+y=32 ...(i)
Next we know that when 5 is subtracted from 4 times one number the result is 8 times the other number, we can write it as
4x-5=8y
4x-8y=5....(ii)
So we have two equations
x+y=32
4x-8y=5
We will multiply equation (i) by 4 to cancel out x and solve for y
4x+4y=128
4x-8y=5
(-) (+) (-)
-----------------
12y=123
y=10.25
We substitute the value of y in equation (i)
x+y=32
x+10.25=32
x=32-10.25=21.75
We need to find the difference between two number which is x-y=21.75-10.25=11.5
Therefore we found out by substitution method that the difference between the two numbers is 11.5
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45. find the probability of picking 1 vowel and 4 consonants when 5 letters are picked (without replacement) from a set of alphabet tiles\.\* *you may input your answer as a fraction or rounded to the seventh decimal.
The required probability is 0.45
We have total 26 letters in English, of which 21 are consonants and 5 are vowels.
According to the question, we have to select 5 of them of which 4 will be consonants and 1 will be vowel.
Suppose we want to have the vowel in the first selection, so the probability of picking a vowel is equal to the quotient between the number of vowels and the number of total number of letters.
So the probability is 5/26
Now, a letter has been selected, so in the set, we have 25 letters left.
In the next 4 selections, we must select consonants.
In the second selection the probability is 21/25
In the third selection the probability is 20/24
In the fourth selection the probability is 19/23
In the last selection the probability is 18/22
So, the probability is (5/26)×(21/25)×(20/24)×(19/23)×(18/22)
Now, remember that we take that the vowel must be in the first place, but it can be in any five places, so if we add the permutations of the vowel letter we have,
P = 5×(5/26)×(21/25)×(20/24)×(19/23)×(18/22) = 0.45
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Last one!! please help!!! Thanks
Answer:
B) angle R=angle U C) angle S=angle V E) QR=TU F) QS=TV,
Step-by-step explanation:
Solve the linear system using Additional Elimination.
3x + 2y = 7
-3x + 4y = 5
Answer:
x = 1 y = 2
Step-by-step explanation:
3(1) + 2(2) = 7
3 + 4 = 7
-3(1) + 4(2) = 5
-3 + 8 = 5
In the equation 4 x 4 = 16, 4 is a
Answer:
Is a natural Number
Step-by-step explanation:
Answer:
Is a Factor
Step-by-step explanation:
four consecutive integers sum to 22 what is the least of these integers
Answer:
4
Step-by-step explanation:
To get 22 with four consecutive integers, we need the integers 4, 5, 6, and 7.
(4 and 5 equal 9, then 9 and 6 equal 15, and 15 and 7 equal 22.)
4 is the smallest of these four, and thus the least of these.
Ethan writes 1/6 pages in 1 1/2 minutes.How long will it take him to write a full page?
Answer:
33 Minutes
Step-by-step explanation:
Just take 11/2 time 6 and get 33 minutes.
Can anyone please help me with this?
Answer:
#4 is c
Step-by-step explanation:
bc the slope is negative & they y intercept is 5
Answer:
4. c
5. y=7/8x+1
6. y=-10x
7. y=2.5-7
8. y=1.2x
9. y=-5x-8
Step-by-step explanation:
4. because the graph is in a negative direction and the point is higher than 0
5. non-proportional means it doesn't pass through (0,0)
6. the y-intercept would be 0 so there is no b
7. the slope would be positive because it says it goes from left to right
8. same explanation as 6
9. only one with both a negative slope and y-intercept
Rounded to the nearest tenth, the solutions of the equation are
.
Answer:
-.2, 2.4
Step-by-step explanation:
answer on edge
Unit #2 - Lesson #7 Exit Ticket: Solve the equation shown below for the variable x. Place your answer in the answer box.
Answer:
[tex]x = bc + 2b[/tex]
PLEASE MARK ME AS BRAINLIEST
Brianna received the following test scores: 42/50, 80/100, and 75/90
She needs an average
of at least an 85% to qualify for a scholarship to U of M. What must be her
minimum score on her fourth and final test in order to qualify for the scholarship?
1) Change the fractions to percents :
2) Set up and solve your inequality:
3) Explain what your solution means for Brianna?
Answer:
answer
Step-by-step explanation:
80/100 - 80%
Can someone please help....I’m stuck
Mr. Martin wrote the following problem on the board.
Juanita's car has a gas mileage of 21
|miles per gallon. How many miles
can Juanita travel on 7 gallons of
gas?
21miles
Alex used the expressionanllon
7gallons
to find the
answer. Did Alex make a mistake? Answer Yes or No. hi
Answer:
147 gallons
Step-by-step explanation:
21 miles x 7 gallons
x-y+2z=3
-5x+4y-6z=-16
-4x-4y-6z=6
help
Answer:
x-y+2z=3
Step-by-step explanation:
EZ
PLS HELP ASAP 60 POINTS AND I'LL GIVE BRAINLIEST! What can you notice about the circumcenter, incenter, orthocenter, and centroid of a triangle? What can you notice about their relationship?
Answer:
The centroid is always between the orthocenter and the circumcenter. The distance between the centroid and the orthocenter is always twice the distance between the centroid and the circumcenter. In obtuse triangles, the circumcenter is always outside the triangle opposite the largest....what is the difference of 2/4 and 1/3?
Answer:
2/4-1/3= 6/12-4/12
=2/12
=1/6
If 95 of a is equal to b, then which of the following is ture?
a. 95 a=b b. ab
Answer: the answer is "a" 95a=b
Step-by-step explanation:
"of" means "multiply":
95a=b
Look at photo (10 points)
m perpendicular to q is the correct answer
Answer:
A, C and D
they all connect at a right angle. it is not b because p and q are parallel.
Which transformation does NOT appear to be a rotation?
Answer:
a
Step-by-step explanation:
bc there zapping at the same spot which will not rotate around
I put 12 when it was actually 11
Use your answer to part a) to solve x squared + 7x + 12 = 0
Answer:
The is -12/7 or -1 5/7
Step-by-step explanation:
7x+12=0
-12 -12
7x=-12 divided by 7 on both sides hope this helps
What is the distance from
33, 5) to (33, -12)
Answer:
17
Step-by-step explanation:
so x stays the same, so you look at the y integers and to get to the negatives you have to go down 5 times, then 12 more to get to -12. So 5+12= 17
Hope this helps!!!!
8x-9+53=180 solve for x
Answer:
x=17
Step-by-step explanation:
1: Simplify both sides of the equation.
8x−9+53=180
8x+−9+53=180
(8x)+(−9+53)=180(Combine Like Terms)
8x+44=180
8x+44=180
2: Subtract 44 from both sides.
8x+44−44=180−44
8x=136
3: Divide both sides by 8.
(8x=136 )/8
x=17
Triangle ABC is graphed on a coordinate grid with vertices at A (-2, -4), B (2, -4) and C (0, 2). Triangle ABC is dilated by a scale factor of x with the origin as the center of dilation to create triangle A’B’C with the vertices A’ (-1, -2), B’(1, -2), C’ (0, 1).
Which rule best represents the dilation that was applied to Triangle ABC to create A’B’C’?
(x, y) (2x, 2y)
(x, y) (0.2x, 0.2y)
(x, y) (12x, 12y)
(x, y) (14x, 14y)
Answer:
The rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:
(x, y) → (1/2x, 1/2y)
Step-by-step explanation:
Given the vertices of a triangle
A(-2, -4)B(2, -4)C(0, 2)After the dilation, the vertices of an image triangle be
A' (-1, -2)B '(1, -2)C' (0, 1)If we closely observe, we can notice that the image triangle vertices A'B'C' are half of the original triangle ABC.
i.e. (x, y) → (1/2x, 1/2y)
verification
A(-2, -4) → A'(-2/2, -4/2) = A'(-1, -2)
B(2, -4) → B'(2/2, -4/2) = B'(1, -2)
C(0, 2) → C'(0/2, 2/2) = C'(0, 1)
Thus, it is verified and we conclude that the rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:
(x, y) → (1/2x, 1/2y)