Answer:
I think x²= 36
Step-by-step explanation:
because if the value of the x is 6, if six will be multiplied to itself the answer will be 36
After 5 years, how much will marcia have saved in interest by consolidating the two balances? a. $1,526.40 b. $2,422.80 c. $105.00 d. $227.40
The closest among the choices is Choice C. $105. Differences in amount may vary in the rounding off of the decimal numbers.
The complete question is given below as:-
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Marcia currently uses.
Card A
Card B
Amount
$1,879.58
$861.00
APR
14%
10%
Monthly Payment
$43.73
$18.29
After 5 years, how much will Marcia have saved in interest by consolidating the two balances?
a.
$1,526.40
b.
$2,422.80
c.
$105.00
d.
$227.40
What is income?The amount received by an employee by giving the service or work to any frim will be termed as the income.
Given:
Card A - 1,879.58 ; APR 14%; monthly -43.73
Card B - 861.00 ; APR 10% ; monthly -18.29
5 years x 12 months/yr = 60 months.
Card A = 43.73 x 60 = 2,623.80
Card B = 18.29 x 60 = 1,097.40
Total : 2,623.80 + 1,097.40 = 3,721.20
Lowest APR is 10%. monthly rate: 0.83%
Total Card balance: 1,879.58 + 861 = 2,740.58
A = P * (r(1+r)^n) / [(1+r)^n -1]
A = 2,740.58 * [0.0083 (1.0083)^60] / [(1.0083)^60 - 1]
A = 2,740.58 * 0.014/0.64
A = 2,740.58 * 0.022
A = 60.29 monthly payment.
60.29 x 60 = 3,617.40
Separate cards: 3,721.20
Consolidated: 3,617.40
Difference: 103.80
Therefore closest among the choices is Choice C. $105. Differences in amount may vary in the rounding off of the decimal numbers.
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Write an equation of the parabola with a vertex at the origin and a focus at (0,−2).
find the missing side of the right angle round to the nearest tenth if necessary triangle is 6 meters by 12m
To get x, we will use the Pythagoras theorem
With the hypotenuse equal to 12m
\(\begin{gathered} x^2=12^2-6^2 \\ x^2\text{ = 144 - 36} \\ x^2\text{ = 108} \end{gathered}\)\(\begin{gathered} x\text{ = }\sqrt[]{108\text{ }}=\text{ 10.39} \\ \text{ x = 10. 4m (to the nearest tenth)} \end{gathered}\)a newsletter publisher believes that more than 79y% of their readers own a laptop. is there sufficient evidence at the 0.020.02 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario.
The Null hypothesis will be expressed as u = 0.79 whereas the Alternative hypothesis will be expressed as. u > 0.79
The null hypothesis (H0) may be used to show that there exists no significant variation between variables or that a single variable is not different than its mean. While an alternative Hypothesis (Ha) is a theory that attempts to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean. According to the question we can say that the
Null hypothesis (H0): u = 0.79
Alternative hypothesis (Ha): u > 0.79
Where u may be called as the proportion of their reader that owns a personal computer.
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Solve the square of this equation with explanation as I don’t understand please
===========================================================
Explanation:
Cut the x coefficient (10) in half to get 10/2 = 5. Then square this to get 5^2 = 25.
We'll add 1 to both sides so that the "24" turns into "25", thereby completing the square
x^2 + 10x + 24 = 0
x^2 + 10x + 24+1 = 0+1
x^2 + 10x + 25 = 1
Notice on the left hand side we have something of the form A^2+2AB+B^2 where A = x and B = 5. We can factor this into (A+B)^2, which is the whole reason why we completed the square. You can use the FOIL rule to see how (A+B)^2 expands out into A^2+2AB+B^2. Factoring reverses this process.
This means x^2+10x+25 factors to (x+5)^2 and we now have these steps
(x+5)^2 = 1
x+5 = sqrt(1) or x+5 = -sqrt(1)
x+5 = 1 or x+5 = -1
x = 1-5 or x = -1-5
x = -4 or x = -6 are the two solutions
------------------
Let's check x = -4 to see if it works or not
x^2 + 10x + 24 = 0
(-4)^2 + 10(-4) + 24 = 0
16 - 40 + 24 = 0
-24 + 24 = 0
0 = 0
We get a true equation. That confirms x = -4 is a solution.
If we tried x = -6, then,
x^2 + 10x + 24 = 0
(-6)^2 + 10(-6) + 24 = 0
36 - 60 + 24 = 0
-24 + 24 = 0
0 = 0
That x value is confirmed as well.
To lose weight, Kelly reduced her caloric intake from 2000 per day to 1360 per day. What is the percent of decrease in calories
Step-by-step explanation:
2000-1360=640
%change=640/2000×100
=32%
A garden is in the shape of a rectangle 26 feet long and 25 feet wide. If fencing costs $5 a foot, what will it cost to place fencing around the garden? A. $255 B. $510 C. $1020 D. $3250
Answer:
$5 × 2 × (26 + 25) = $5 × 2 × 51 = $5 × 102
= $510
B is the correct answer.
To test the effectiveness of a liquid supplement that is supposed to help forgetful people with their memory, 400 college students are recruited for a study and divided into two groups. Group A with 250 students receives the supplement, while group B with 150 students receives some colored water. Neither group is told what they received. After several weeks, they are given a memory test. This study can best be described as: . a census a controlled placebo experiment a survey using quota sampling a survey using simple random sampling the placebo effect
This study can be best described as Controlled Placebo Experiment
What is a Controlled Placebo Experiment?
A controlled placebo experiment is a type of research method that is used to check the effectiveness of a drug in a patient. This is done by selecting a sample group, then randomly divide the two group into a placebo group (this are the group that will receive the drug treatment ) and the controlled group (these are the group that will receive a colored mixture that looks like the drug, but does not have any effect). Without the groups knowledge about the real drugs and the colored mixture, but are followed up and tested.
According to the given question:
This is a controlled placebo experiment, because 400 student has been chosen as the sample, and are divided into a placebo group and a controlled group, to check the effectiveness of a drug on their memory.
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Feri invests some money.
The rate of interest for the first year is 2.5%.
At the end of the second year the overall percentage increase of Feri's investment is 6.6%.
Find the rate of interest for the second year.
The rate of interest for 2nd year is 4.1%
How to find the interest rate for the second yearFrom the given parameters;
Rate of interest for 1st year = 2.5
As we know the formula for Simple interest is given by
=> I = (PTR)/100
We will use this formula in the following problem
Let 100 be Feri's investment
At the Rate of interest of 2.5
Interest on 100 = [(100(1)(2.5)]/100 = 2.5
Total amount at end of 1st year = 100 + 2.5 = 102.5
Let x be the rate of interest for 2nd year
At the rate of interest of x
interest on 100 = [(100(1)(x)]/100 = x
Total amount at end of 2st year = 102.5 + x
Given that, at end of the 2 years, the rate of interest becomes 6.6%
Interest on 100 at the rate of 6.6%
=> [(100(1)(6.6)]/100 = 6.6
=> total amount = 100 + 6.6 = 106.6
As we know in both cases, the amount must be equal
=> 102.5 + x = 106.6
=> x = 4.1
Therefore, The rate of interest for 2nd year = 4.1
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A city bowling league is holding a tournament in which the top 12 bowlers with the highest three-game totals are awarded cash prizes. First place will wi second place $1210, third place $1120, and so on.
(a) Write a sequence a, that represents the cash prize awarded in terms of the place n in which the bowler finishes.
(b) Find the total amount of prize money awarded at the tournament.
(a) The sequence representing the cash prize awarded in terms of the place n is as follows: a(n) = 1310 - 90(n-1).
(b) The total amount of prize money awarded at the tournament is $10,440.
To calculate this, we can use the formula for the sum of an arithmetic series. The formula is given by:
Sum = (n/2)(first term + last term)
In our case, the first term (a1) is the cash prize for the first place, which is $1310. The last term (a12) is the cash prize for the twelfth place, which is $430.
Using the formula, we can calculate the sum as follows:
Sum = (12/2)(1310 + 430) = 6(1740) = $10,440.
Therefore, the total amount of prize money awarded at the tournament is $10,440.
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when we say an argument is valid, we mean that all the claims in the argument are true. true false
A logical argument cannot have a true conclusion and all true premises. A logical argument cannot have all true premises if it has a false conclusion. So at least one of the premises must be untrue.
If the premises and conclusion are connected in such a way that if the premises were true, then the conclusion would also have to be true, then the argument is considered valid.
FALSE. A strong argument has all true premises and is valid. Since a good argument is valid, it follows that the conclusion must also be true if all of the premises are true. A sound argument must have a true conclusion since a sound argument also has all true premises.
Hence we get the required answer.
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a recycling bin 3kg of plastic and 500g of paper whats the ratio of plastic to paper in the bin give answer in simpliest form
Based on the weight of the plastic to the weight of the paper, the ratio of plastic to paper in the simplest form is 6 : 1
How to find the ratio?To find the ratio of plastic to paper, there is a need to convert the weights such that they have the same units.
Assuming we convert the plastics to grams, the number of grams of plastic would be:
= 3 kg x 1,000 grams per kg
= 3,000 grams
The ratio then would be:
3,000 grams of plastic : 500 grams of paper
To get to the simplest form, divide both sides by 500:
3,000 / 500 : 500 / 500
6 : 1
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What statement is true about the extreme value of the givin quadratic equation y=-3x^2+12x-30
A) the equation has a maximum value with a y-coordinate of -21
B) the equation has a minimum value with a y-coordinate of -27
C) the equation has a minimum value with a y-coordinate of -21
D) the equation has a maximum value with a y-coordinate of -27
Answer:
I,dont know but use M A T H W A Y it will explain with all the stepp by step and answere hope it help
Step-by-step explanation:
Could somebody help me with this please I would really appreciate it
Answer:
100 + 6.98 = 106.98
81,636 x 106.98 / 100
= 87,334. 19
Step-by-step explanation:
Is this table of values linear?
Answer:
No
Step-by-step explanation:
Linear values will increase by a common difference. For example, a linear function might increase by 6 every time or -4. However, this table does not; each time it increases by a different factor. Since there is no common difference and it does not follow an arithmetic function it is not linear.
Answer:
Step-by-step explanation:
Not linear.
If the inputs were 1, 2, 3, 4 and we wanted a linear function, one such function would be 1, 2, 3, 4 or 10, 20, 30, 40, and so on.
The given table shows that y increases faster and faster as x increases.
From x = 1 to x = 2, y increases from 1 to 2 (an increase of 1).
From x = 2 to x = 3, y increases from 2 to 6 (an increase of 4).
From x = 3 to x = 4, y increases from 6 to 24 (an increase of 18)
No, the table does not represent a linear function.
A line with a slope of 3 passes through the point (2, 5).
Write an equation for this line in point-slope form.
y-(BLANK)=(BLANK)(x-2)
\(y - 5 = 3(x - 2)\)
I'm marking answers as brainliest ----- One of the vertices for this linear programming problem is __________. ----- (1,2) (3.5,0) (0,2.3) (0,0)
Answer:
(0,2.3) if only one choice expected.
(0,2.3) and (0,0) if "all that apply" expected, since (0,0) is also a vertex of the green region.
Step-by-step explanation:
From the attached diagram, the given answer optsions are shown in brown.
The red line shows the optimal combinations of the two variables, hence a maximization problem.
Out of the four answer options, two coincide with a vertice of the valid region (shown in green), namely (0,0) and (0, 2.3).
Out of the two indicated options which correspond to a vertex, the origin (0,0) is usually ignored for a maximization problem, which leaves us with (0,2.3) as the answer.
what is the counter example for 'if you do not eat beef then you're not vegetarian'
Answer:
umm if you eat meat your just a regular person who eats all types of food :)
Step-by-step explanation:
need answered ASAP Written as clearly as possible
I 3) Pick a positive integer a and consider the function f(x) C-a a) Find f'(x) and f"(x). b) Find all vertical and horizontal asymptotes of f(x). c) Find all intervals where f(x) is increasing/decrea
a) f'(x) = -1 / (2√(3 - x)).
f"(x) = 1 / (2(3 - x)^(3/2)).
b) There are no vertical asymptotes.
The horizontal asymptote is y = 0.
c) f(x) is a decreasing function for all values of x.
We have,
To provide a specific solution, let's choose the positive integer a as 3.
a)
Find f'(x) and f"(x):
Given that f(x) = √(3 - x), we can find the derivative f'(x) using the chain rule:
f'(x) = d/dx [√(3 - x)]
\(= (1/2) \times (3 - x)^{-1/2} \times (-1)\)
= -1 / (2√(3 - x)).
To find the second derivative f"(x), we differentiate f'(x) with respect to x:
f"(x) = d/dx [-1 / (2√(3 - x))]
= -1 x (-1/2) x (3 - x)^(-3/2) x (-1)
\(= 1 / (2(3 - x)^{3/2}).\)
b)
Find all vertical and horizontal asymptotes of f(x):
To find the vertical asymptotes, we need to determine the values of x where the denominator of f'(x) and f"(x) becomes zero.
However, in this case, both f'(x) and f"(x) do not have any denominators, so there are no vertical asymptotes.
To find the horizontal asymptote, we can evaluate the limit as x approaches positive or negative infinity:
lim(x→∞) f(x) = lim(x→∞) √(3 - x)
= √(-∞)
= 0.
lim(x→-∞) f(x) = lim(x→-∞) √(3 - x)
= √(∞)
= ∞.
Therefore, the horizontal asymptote is y = 0 as x approaches positive infinity, and there is no horizontal asymptote as x approaches negative infinity.
c)
Find all intervals where f(x) is increasing/decreasing:
To determine the intervals of increasing and decreasing, we can examine the sign of the derivative f'(x).
f'(x) = -1 / (2√(3 - x)).
The denominator of f'(x) is always positive, so the sign of f'(x) depends on the numerator, which is -1.
When -1 < 0, f'(x) < 0, indicating a decreasing function.
Therefore, f(x) is a decreasing function for all values of x.
Thus,
a) f'(x) = -1 / (2√(3 - x)).
f"(x) = 1 / (2(3 - x)^(3/2)).
b) There are no vertical asymptotes.
The horizontal asymptote is y = 0.
c) f(x) is a decreasing function for all values of x.
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Answer:
THE ANSWER IS A
Step-by-step explanation:
took the quiz on edge , got a 100%
Math help please thanks
Answer:
x = 10.5
Step-by-step explanation:
The first thing you have to do is to find out what you multiplied (say) 2 by to get 3.5 and then try it again with another number.
2k = 3.5 Divide by 2
k = 3.5 / 2
k = 1.75
Now try it on another number. What do you multiply 4 by to get 7
4k = 7 Divide by 4
k = 7/4
k = 1.75
So here's what's going on. If you multiply every dimension you are given on the left pentagon (it's not regular) by 1.75, you should get the corresponding number on the right.
To get x you need to multiply 6 by 1.75
x = 6*1.75
x = 10.5
Please please help me please
Answer:
2a-21=1 .................
3. A leaking tap drips water at 0,5 ml/sec. Convert this rate to l/h.
Answer: 1.8 L/h
Step-by-step explanation:
To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.
Step 1:
First, let's convert the rate from millilitres per second to litres per second.
There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:
\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)
Step 2:
We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:
\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)
Therefore, the rate of water dripping from the tap is 1.8 L/h.
----------------------------------------------------------------------------------------------------------
Examine the three graphs shown below.
Graph 1
Graph 2
Graph 3
Which graphs have same domain?
O A Graphs 1, 2 and 3
B. Graphs 2 and 3
OC. Graphs 1 and 2
D. Graphs 1 and 3
NEED THIS PLEASE :)
I think it's a
Step-by-step explanation:
it's been a while since I done this kind of work
increase 300 by 12%.
Answer:
300, percentage increased by 12% (percent) of its value = 336
Step-by-step explanation:
Use substitution to solve the system of equations
y=5x+2
12.5x+2.5y=5
PLS HELP
Answer:
x=0 and y=2
Step-by-step explanation:
12.5x+ 2.5(5x+2)=5
12.5x +12.5x +5= 5
x=0
Subsitute x into equation
y=5(0) +2
y= 2
Suppose X = {x, y, z}, and B = {B1 , B2 , B3} where B1 = {x, y},
B2 = {y, z} and B3 = {x, z}. We have the following information
about an individual’s choice function:
c (B1) = {x}, c (B2) = {y}, and
The choice function c satisfies finite nonemptiness and choice coherence, but there does not exist a utility function U , which does not contradict the Fundamental Theorem of Mindless Economics.
A. To show that the choice function c satisfies finite nonemptiness, we need to demonstrate that for each choice set Bn, c(Bn) is non-empty.
To show that the choice function c satisfies choice coherence, we need to demonstrate that for any two choice sets Bn and Bm, if Bn ⊆ Bm, then c(Bn) ⊆ c(Bm).
From the given information, we have B1 = {x, y}, B2 = {y, z}, and B3 = {x, z}. Let's consider the possible pairs of choice sets:
B1 and B2: B1 ⊆ B2 since {x, y} is a subset of {y, z}. In this case, c(B1) = {x} and c(B2) = {y}. We can observe that {x} ⊆ {y}, which satisfies the condition of choice coherence.
B1 and B3: B1 ⊆ B3 since {x, y} is a subset of {x, z}. In this case, c(B1) = {x} and c(B3) = {z}. We can observe that {x} ⊆ {z}, which satisfies the condition of choice coherence.
B2 and B3: B2 ⊈ B3 since {y, z} is not a subset of {x, z}. Therefore, the condition of choice coherence does not apply in this case.
Overall, the choice function c satisfies finite nonemptiness and choice coherence, except for the pair of choice sets B2 and B3.
B. To show that there does not exist a utility function U: {x, y, z} → R that can produce these choices via the usual formula c(Bn) = {x ∈ Bn : U(x) ≥ U(y) for all y ∈ Bn}, we need to demonstrate that such a utility function does not exist.
Let's consider the pairs of choice sets B1 and B2:
For B1 = {x, y}, we have c(B1) = {x}. To satisfy the usual formula, we would need a utility function U(x) ≥ U(y). However, since there is no order or preference provided for x, y, and z, we cannot assign numerical values to them in a way that U(x) ≥ U(y) holds.
Similarly, for B2 = {y, z}, we have c(B2) = {y}. Again, we cannot assign numerical values to y and z that satisfy U(y) ≥ U(z) since there is no preference or order specified.
Therefore, there does not exist a utility function U: {x, y, z} → R that can produce these choices via the usual formula.
C. The answers to parts (a) and (b) do not contradict the Fundamental Theorem of Mindless Economics because the choices made by the individual in this scenario do not adhere to the assumptions of utility maximization based on preferences.
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The complete question is:
Suppose X = {X, Y, Z}, And B = {B1 , B2 , B3} Where B1 = {X, Y}, B2 = {Y, Z} And B3 = {X, Z}. We Have The Following Information About An Individual’s Choice Function: C (B1) = {X}, C (B2) = {Y}, And C (B3) = {Z}, A. Show That C Satisfies Finite Nonemptiness And Choice Coherence. B. Show That There Does Not Exist A Utility Function U : {X, Y, Z} → R, That Can.
Suppose X = {x, y, z}, and B = {B1 , B2 , B3} where B1 = {x, y}, B2 = {y, z} and B3 = {x, z}. We have the following information about an individual’s choice function:c (B1) = {x}, c (B2) = {y}, and c (B3) = {z},A. Show that c satisfies finite nonemptiness and choice coherence.
B. Show that there does not exist a utility function U : {x, y, z} → R, that can produce these choices via the usual formula (discussed in class): c (Bn) = {x ∈ Bn : U (x) ≥ U (y) for all y ∈ Bn} , for n = 1, 2, 3.
C.Explain why your answers to parts (a) and (b) do not contradict the Fundamental Theorem of Mindless Economics.
whats is 1+1
*i cant figure it out *
Answer:
2
Step-by-step explanation:
Which is the angle measured in a horizontal circle around your horizon? ecliptic equator azimuth right ascension
Azimuth is the angle measured in a horizontal circle around your horizon.
In this question,
The horizon angle is the maximum upwind slope in wind exposure / sheltering studies.
A line from the center of the Earth which continues through the observer's body and the top of the observer's head. This line is zenith.
Azimuth is the coordinate direction that runs parallel to the horizon and rotates clockwise from north (0 degrees) to east (90 degrees) to south (180 degrees) to west (270 degrees) back to north (360 degrees).
The meridian is an imaginary North-South line running through the zenith.
Therefore, Azimuth is the angle measured in a horizontal circle around your horizon.
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Complete the proof(using sas congruence)! Use to sas congruence to prove that two angles are congruent
Problem-solving Helen shares £360 between her three children, Felix, George and Harry.
Felix receives 30% of the money.
The ratio George and Harry receive is 4 : 5.
Work out how much George receives
George receives £112 based on the given data regarding the 4:5 ratio.
Felix receives 30% of £360 which is:
30/100 x £360 = £108The total amount remaining for George and Harry is:
£360 - £108 = £252The ratio of the amount that the George receives to the amount that the Harry receives is 4:5. This means that the total ratio of the amount they receive is:
4+5 = 9
To find out how much George receives, we need to divide the total of the amount by the total of the ratio and then multiply by George's share of the ratio:
£252 ÷ 9 x 4 = £112
Therefore, George receives £112.
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