The percentage by which Janice's net salary must be increased in order to arrive at the same net family income as they had before Joe lost his job is 25%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the salary of Joe be represented by x, while the salary of Janice is represented by y.
Since the sum of the salary of Joe and Janice is the net income of the family. Therefore, the net salary when Joe had a job will be,
x + y₁ = 100%
Now, it is known that Joe lost his job, which reduced the net family income by 20%. Therefore, the net salary now will be only 80% which will be equal to the salary of Janice. Thus, we can write,
y₁ = 80%
Further, Janice decided to work overtime to compensate for the lost income. Therefore, we can write,
y₂ = 100%
Furthermore, the percentage change in salary of Janice can be written as,
Percentage Change = [(100% - 80%)/80% ] × 100%
= 20/80 × 100%
= 25%
Hence, the percentage by which Janice's net salary must be increased in order to arrive at the same net family income as they had before Joe lost his job is 25%.
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6(2x + 4) = 3(4x + 8)
Please answer this!
Answer:
Infinitely many solutions
Step-by-step explanation:
6(2x + 4) = 3(4x + 8)
Distribute the 6
6 * 2x = 12x and 6 * 4 = 24
12x + 24 = 3(4x+8)
Distribute the 3
3 * 4x = 12x and 3 * 4 = 24
12x + 24 = 12x + 24
On both sides of the equal sign we have 12x + 24.
When both sides are equal there are infinitely many solutions.
Name each polynomial by degree and number of terms .
1) -10x
2) -10r4- 8r2
3) 7
4)9a6 + 3a5 - 4a4 - 3a2 + 9
5)-3n3 + n2 - 10n + 9
6) 7x2 - 9x - 10
7) -4b
8) -9 + 7n3 - n2
Answer:
Polynomials are classified according to their number of terms. 4x3 +3y + 3x2 has three terms, -12zy has 1 term, and 15 - x2 has two terms. As already mentioned, a polynomial with 1 term is a monomial. A polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial.
Which equation represents this statement?
The product of 1/5 and a number is equal to 1/1 2.
1/5n=1/1 2
1/5÷n=1/1 2
1/5−n=1/1 2
1/5+n=1/1 2
Answer:
answer is B
Step-by-step explanation:
look at this digram a. what fraction is shaded b. what percentage is shaded
Plz answer ASAP
I need help
Answer:
a:6÷9
b:0.666% are the answers
Which equation has a maximum at y = 5 for 0 < x < 27?
Answer:
To determine which equation has a maximum at y =5, you will need to compare their graphs looking only at the x-values between 0 and 27.
Step-by-step explanation:
QUESTION 7
Find the slope of the line passing through the points (8, 3) and (9,7).
A. 4
B. -4
C. 1/4
D. -1/4
I got the X and Y wrong, its 4. Sorry! mark the other answer instead
Reason:
9 - 8 = 1
7 - 3 = 4
Because that 7 and 3 are Y, 4 goes over. so it makes a whole number
Answer:
A. 4
Step-by-step explanation:
yeah-ya............. right?
please help :,)) an explained answer would be nice but if not that's ok :)
Answer:
3.75
Step-by-step explanation:
First we need to get the numbers into decimal form
3/4 can be written into 75
So the mittens weighed 2.75
So we subtract 6.5 and 2.75
Which is 3.75
So the mitten gained 3.75 pounds
Hope this helps!
Answer:
3.75
Step-by-step explanation:
Subtract to find the difference
2 3/4 is 2.75 as a decimal
6.5 - 2.75 = 3.75
Check the answer
2.75 + 3.75 = 6.5
So u can see Mittens gained 3.75 pounds between the time he was a kitten and his 6-month check up.
At a vehicle dealership 5 cars are sold for 2 trucks. Last year the dealership sold 128 trucks how many cars did they sell?
Pls help this is the hardest one i have
please help me on this, thank you
45 - 4 =41 and x is 20.5 or 20 1/2
A coin is tossed and the spinner is spun one possible outcome is H3 (heads, 3). What is the sample space for the experiment?
Supposing a spinner with 4 sides, the sample space is:
{H1, H2, H3, H4, T1, T2, T3, T4}
The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
For the coin, there are two possible outcomes: H or T.Supposing the spinner has 4 sides, there are four possible outcomes: 1, 2, 3, or 4.Hence, the sample space is:
{H1, H2, H3, H4, T1, T2, T3, T4}
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Assume that the demand curve D(p) given below is the market demand for widgets:
Q=D(p)=1204−11p, p > 0
Let the market supply of widgets be given by:
Q=S(p)=−3+6p, p > 0
where p is the price and Q is the quantity. The functions D(p) and S(p) give the number of widgets demanded and supplied at a given price.
What is the equilibrium price?
Please round your answer to the nearest hundredth.
What is the equilibrium quantity?
Please round your answer to the nearest integer.
What is the consumer surplus at equilibrium?
Please round the intercept to the nearest tenth and round your answer to the nearest integer
What is the producer surplus at equilibrium?
Please round the intercept to the nearest tenth and round your answer to the nearest integer.
What is the unmet demand at equilibrium?
Please round your answer to the nearest integer.
Answer:
Step-by-step explanation:
I'll use y for quantity and x for price [love my x and y] and rewrite the demand and supply functions:
Demand: y=1204−11x
Supply: y = -3 + 6x
==
We want to know the equilibrium price and quantity. The quantities purchased and sold would be equal to the quantities supplied:
1204−11x = -3 + 6x
-17x = - 1207
x = 71 The price of a widget is 71 units ($, €,£,¥, etc.) at equilibrium
A price of 71 would lead to a demand and supply of:
y = 1204−11x
y = 1204−11(71)
y = 423 Widgets
We can also plot this to find the point (71,423). See the attachment.
At this point, I'm uncertain how to answer the "producer surplus" and "unmet demand" at equilibrium. This is what I did, so please judge if it is correct.
The demand line, y=1204−11x, tells us that if the price were 0, the demand would be 1204, which I'll assume in the maximum, since it is stipulated that x > 0 (I imagine it may no longer be a straight line when the price goes into negative territory. I'd be the first in line to accept a widget and $5 if they were priced at -$5).
At equilibrium, therefore, we would still have an unmet demand of (1204 - 423) or 781 widgets that customers wanted, but wouldn't pay the price.
It seems to me that this would also be the unmet demand: Product that could have been sold, but wasn't, due to the price. I'm unsure, however.
Josh was issued a traffic ticket for speeding. The court cost
was $40 and he had to pay $10 for every mile per hour
over the speed limit. Determine how fast Josh was driving
if the speed limit was 65 mph and his fine was $110.
Answer:
72 mph
Step-by-step explanation:
i did this on achievemath3000 and 72 was the answer
Write five other iterated integrals that are equal to the given iterated integral. 8 0 x2 0 y f(x, y, z) dz dy dx 0
An iterated integral is the outcome of taking integrals toward a function of more than one variable in such a way that part of the variables is treated as constants for each of the integrals.
From the given parameters, we are to write out five iterations for a triple integral;
[tex]\mathbf{\int ^8_0\ \int^{x^2}_{0} \ \int^y_0 \ \ f(x, y, z) \ dz dy dx }[/tex]
where;
the region is bounded by 0 ≤ z ≤ y, 0 ≤ y ≤ x², 0 ≤ x ≤ 8.Thus, since x, y, z are functions of at least one variable, we can have the following iterations:
[tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{y}} \ \int^{y}_{0} \ \ f(x,y,z) dz dxdy}[/tex] [tex]\mathbf{\int^{64}_{0} \ \int^{y}_{0} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdzdy}[/tex] [tex]\mathbf{\int^{64}_{0} \ \int^{64}_{z} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdydz}[/tex] [tex]\mathbf{\int^{8}_{0} \ \int^{x^2}_{0} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydzdx}[/tex] [tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{z}} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydxdz}[/tex]Learn more about iterated integrals here:
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Help help math math help help
Answer:
102 degrees below horizontal
Step-by-step explanation:
if the first angle is 78 degrees, the angle on the other side of the line is 102 degrees because a straight line is 180 degrees, and a box would have a total of 360 degrees in it
because the same line passes through both horizontal lines, the angle 3 is equal to the opposite angle to the 78
180-78 = 102
another way to look at it is that the 78 degrees is the same angle directly above angle 3 because the horizontal lines are parallel, and if it is 78 degrees, that makes the angle below it (angle 3) 102 degrees since a straight line must add to 180 degrees
Answer:
102
Step-by-step explanation:
plssss help me if your good at finding area in shapes plsss
The given shape is a trapezoid with "bases" 15 and 45, and height 10. So its area is
(15 + 45)/2 • 10 = 300
How many solutions does this system have?
y = 2/3x + 3
2x - 3y = -9
A. one solution (what i think) ****
B. two solutions
C. no solutions
D. infinitely many solutions
Answer:ONE solution.
Step-by-step explanation:
If there are 10,000 people on a space ship and 7.5 potatoes grow out of 1 potato plant. How many potato plants are we going to need per person?
This can be answered by the equation 10,000 / 7.5 = 1,333.33, so we can round to 1,333.
Hope this helps!
Answer: 1333
Step-by-step explanation:
Please help me with this problem. I'm kind of stuck and don't know what to do.
Try this option:
1) if csc(u)=9, then 1/sin(u)=9 and sin(u)=1/9;
2) if sin(u)=1/9, then cos(u):
[tex]cos(u)=\sqrt{1-sin^2(u)}=\sqrt{1-\frac{1}{81}}=\frac{4\sqrt{5}}{9};[/tex]
3) [tex]if \ sin(u)=\frac{1}{9} \ and \ cos(u)=\frac{4\sqrt{5}}{9}, then[/tex]
[tex]sin(2u)=2sin(u)*cos(u)=\frac{8\sqrt{5}}{81};[/tex]
[tex]cos(2u)=cos^2(u)-sin^2(u)=\frac{80}{81}-\frac{1}{81}=\frac{79}{81};[/tex]
[tex]tan(2u)=\frac{sin(2u)}{cos(2u)}=\frac{\frac{8\sqrt{5}}{81}}{\frac{79}{81} }=\frac{8\sqrt{5}}{79}.[/tex]
Find an equation for the line below
Answer:
y = 1/2x +7/2
Step-by-step explanation:
The two marked points are 2 units apart vertically, and 4 units apart horizontally. The slope of it is ...
m = rise/run = 2/4 = 1/2
The value of the y-intercept can be found from
b = y -mx . . . . . . where (x, y) is a point on the line
Using the point (-1, 3), we find the y-intercept to be ...
b = 3 -(1/2)(-1) = 3 1/2 = 7/2
Then the slope-intercept equation is ...
y = mx +b
y = 1/2x +7/2
A car travels at an average speed of 60 km/h for 2.1 hours.
How far did the car travel in km?
Answer:
15 km
Step-by-step explanation:
Which of the sets of ordered pairs represents a function? (4 points)
A = {(−4, 5), (1, −1), (2, −2), (2, 3)}
B = {(2, 2), (3, −2), (9, 3), (9, −3)}
a
Only A
b
Only B
c
Both A and B
d
Neither A nor B
Answer: D, neither A nor B
Step-by-step explanation: In a function, the x (the input) cannot repeat in the given set of ordered pairs. In Set A, 2 repeats in the third and fourth ordered pairs. In Set B, 9 repeats in the third and fourth ordered pairs as well.
Answer: B
Step-by-step explanation:
Functions and Relations
A relation is just a set of ordered pairs (x,y) . In formal mathematical language, a function is a relation for which: if (x1,y) and (x2,y) are both in the relation, then x1=x2 . This just says that in a function, you can't have two ordered pairs with the same x -value but different y -values.
PLEASE HELPP MEE ASAPP!!
Answer:
Step-by-step explanation:
each zero of the function will have a factor of (x - x₀)
h(x) = a(x + 3)(x + 2)(x - 1)
h(x) = a(x + 3)(x² + x - 2)
h(x) = a(x³ + 4x² + x - 6)
or the third option works if a = 1
however this equation gives us the points (0, -6) and (-1. -4), so "a" must be -2
h(x) = -2x³ - 8x² - 2x + 12
to fit ALL of the given points as it fits the three zeros and also h(0) and h(-1) so I guess that is why the given group is a partial set of solution sets
The total cost of producing a type of tractor is given by C(x)=11000−20x+0.02x2, where x is the number of tractors produced. How many tractors should be produced to incur minimum cost?
Answer:
Step-by-step explanation:
You need to complete the square.
C(x) = 0.02(x^2 - 1000x ...) + 11000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000
C(x) = 0.02(x - 500)^2 + 6000
Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000
There is a flow to this question that you may have trouble understanding.
First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.
Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.
500^2 = 250000
0.02 * 250000 = 5000
So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.
So what you have outside the brackets is 11000 - 5000 = 6000
The rest is just standard for completing the square.
The price of an item has risen to $136 today. Yesterday it was $80. Find the percentage increase.
well, the numeric difference will be 136 - 80 = 56, now, if we take 80 (original price) to be the 100%, what is 56 (the increase) in percentage off of it?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80&100\\ 56&x \end{array}\implies \cfrac{80}{56}=\cfrac{100}{x}\implies \cfrac{10}{7}=\cfrac{100}{x} \\\\\\ 10x=700\implies x = \cfrac{700}{10}\implies x = \stackrel{\%}{70}[/tex]
find the mean of 90 100 100
Answer: 100
Step-by-step explanation:
[tex]\frac{90+100+110}{3}=\boxed{100}[/tex]
Identify an equation in point-slope form for the line parallel to y = -
2/3x+8 that passes through (4, -5).
A. y-4=(x+5)
B. y+5=2/3 (x-4)
C. y+5 = 3/2(x-4)
D. y-5=-2/3(x + 4)
Pls look at the picture for question.
Answer:
-5, -2, 3, 4
They are in the correct order already :)
Step-by-step explanation:
They greater a negative number is the less it becomes and positive numbers are always greater than negative ones.
Good luck :)
Sifu has 6 girls and 8 boys in his karate class. He randomly selects one student
to demonstrate a self-defense technique. Find the probability of each event
Answer:
half-class
Step-by-step explanation:
Answer:
42.86%
Step-by-step explanation:
Event = Girl
Therare 6 girls and 8 boys, which are thus 6+8 =14 students in total and thus there are 14 possible out comes.
# of possible outcomes = 14
There are 6 girls in the class and thus there are 6 favorable outcomes.
# of favorable outcomes = 6
The probability is the number of favorable outcomes divided by the number of possible outcomes.
P(Girl) = # of favorable outcomes
# of possible outcomes
= [tex]\frac{6}{14}[/tex]
= [tex]\frac{3}{7}[/tex]
≈ 0.4286
= 42.86%
Result
[tex]\frac{3}{7}[/tex] ≈ 0.4286 = 42.86%
pls help!ill give brainlest to the smartest!
MARKING AS BRAINLIEST!! Starr if given functions are inverse)!
Answer: They are inverses of each other.
Explanation:
f(x) = -x+5
f(g(x)) = -(g(x)) + 5
f(g(x)) = -(-x+5) + 5
f(g(x)) = x - 5 + 5
f(g(x)) = x
The steps to show that g(f(x)) = x are identical to what is shown above. This is because both f(x) and g(x) are the same.
Since f(g(x)) = x and g(f(x)) = x are true, this means the functions are inverses of each other.
