Answer:
1) D. None of these.
2) False
3) C. No, Jane is too old to be considered a qualifying child and fails the support test of a qualifying relative.
Step-by-step explanation:
1) AGI deductions are subtracted from the gross income to calculate the taxable income. Not all the individual's earnings are subject to taxation, therefore some expenses are deducted to calculate the Adjusted Gross Income, the one that will be taxed.
All of the three options listed ( Standard deduction, Itemized deduction, and personal exemption) are AGI deductions.
2) False
The potential qualifying relative does not have to be family/biologically related with the taxpayer. The IRS condition states that he/she is either family related or have lived in the taxpayer's abode for a whole year to be a qualified relative of the taxpayer. So far any of the two conditions are met, it is fine.
C. For a student to be regarded as a qualifying relative of her parents, she must not be up to 24 years at the end of the year according to IRS. Jane is already 25, she is too old and fails the test as a qualifying relative.
Please I could really use some help on this (50 points, 5 stars and Brainliest)
Aunt Ga Ga gave you $5,500 to save for college. You deposit the money in a savings account that earns 4% annual interest, compounded quarterly. (Show your work for each question)
a. Write an exponential function to model this situation. Define your variables.
b. What will the value of the account be after 2 years?
c. how long would it take the account to be worth $10,000?
Answer:
(a)[tex]A(n)=5500(1.01)^{4n}[/tex]
(b)$5955.71
(c)15.02 years
Step-by-step explanation:
For an initial principal P deposited in an account at an annual interest r compounded for a number of period k, the amount in the account after n years is given by the model:
[tex]A(n)=P(1+\dfrac{r}{k})^{nk}[/tex]
(a)Aunt Ga Ga gave you $5,500 to save for college.
P=$5,500
Annual Interest, r=4%=0.04
Since interest is compounded quarterly, Number of Periods, k=4
Therefore, an exponential function modeling this situation is:
[tex]A(n)=5500(1+\dfrac{0.04}{4})^{4n}\\A(n)=5500(1+0.01)^{4n}\\$Simplified\\A(n)=5500(1.01)^{4n}[/tex]
(b)After 2 years, i.e. when n=2
[tex]A(2)=5500(1.01)^{4*2}\\=\$5955.71[/tex]
(c)When A(n)=$10000, we have:
[tex]10000=5500(1.01)^{4n}\\$Divide both sides by 5500\\(1.01)^{4n}=\dfrac{10000}{5500} \\$To solve for n, we change to logarithm form\\Log_{1.01}\dfrac{10000}{5500}=4n\\= \dfrac{ Log \dfrac{10000}{5500}}{Log 1.01}=4n\\4n=60.08\\n=60.08 \div 4\\n=15.02\\$Therefore, in 15.02 years, the account would be worth $10,000.[/tex]
Find the value of x.
Answer:
x=4
Step-by-step explanation:
Answer:
√21 or 4.58
Step-by-step explanation:
area of triangle can be found in different ways, and they are equal as:
1/2*x*(7+3)= 1/2*√(x²+3³)*√(x²+7²)
(10x)²= (x²+3³)*(x²+7²)
x²= y
100y= (y+9)(y+49)y²+58y+9*49-100y=0y²-42y +441=0y=21x²=21
x=√21 = 4.58
How many terms are in the expression below?
3x + 4x - 3
In the expression, there are 3 terms.
3x and 4x are like terms because the variables are identical.
Also, we have a constant term which is -3.
The number of miles a motorcycle, X, will travel on one gallon of gasoline is modeled by a normal distribution with mean 44 and standard deviation 5. If Mike starts a journey with one gallon of gasoline in the motorcycle, find the probability that, without refueling, he can travel more than 50 miles. Round your answer to four decimal places.
Answer:
[tex]P(X>50)=P(\frac{X-\mu}{\sigma}>\frac{50-\mu}{\sigma})=P(Z>\frac{50-44}{5})=P(z>1.2)[/tex]
And we can find this probability using the normal standar distribution and with the complement rule we got:
[tex]P(z>1.2)=1-P(z<1.2) =1-0.8849= 0.1151[/tex]
Step-by-step explanation:
Let X the random variable that represent the number of miles a motorcycle of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(44,5)[/tex]
Where [tex]\mu=44[/tex] and [tex]\sigma=5[/tex]
We are interested on this probability
[tex]P(X>50)[/tex]
And we can use the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And using this formula we got:
[tex]P(X>50)=P(\frac{X-\mu}{\sigma}>\frac{50-\mu}{\sigma})=P(Z>\frac{50-44}{5})=P(z>1.2)[/tex]
And we can find this probability using the normal standar distribution and with the complement rule we got:
[tex]P(z>1.2)=1-P(z<1.2) =1-0.8849= 0.1151[/tex]
Explain your answer choice with sentences or record your explanation.
Which expression is equivalent to n + n - 0.18n?
A. 1.18n
B. 1.82n
C. n – 0.18
D. 2n – 0.82
Answer:
B. 1.82n
Step-by-step explanation:
Expression given: n + n - 0.18n
Adding n+n gives '2n'
then subtracting 0.18n from 2n gives= 1.82 n
Therefore,
n + n - 0.18n=0.18n
What’s the correct answer for this question?
Answer:
C.°
Step-by-step explanation:
According to the theorem , "Angles in the same segment are congruent"
So
m<D = 55°
Principal Coleman used random samples from student
records to determine how many people live in each
student's household.
What is the mean total household of the 7th-grade
sample to the nearest tenth?
7th-Grade Total Household
What is the mean total household of the 8th-grade
sample to the nearest tenth?
5,4,4,4,4, 7, 3, 4, 2, 3,
4.4, 2, 4, 3, 8, 7, 5, 4,5
8th-Grade Total Household
7,5,5,5, 3, 4, 5, 3, 2, 8,
6,5,6,3,3,4,4,53,4
Done
Answer:
7th-grade: 4.3
8th-grade: 4.5
Step-by-step explanation:
7th-grade and 8th-Grade samples have 20 data points. The mean is obtained adding the values of the data set and dividing this addition by the amount of values.
Mean total household of the 7th-grade sample: (5+4+4+4+4+ 7+ 3+ 4+ 2+ 3+ 4+4+ 2+ 4+ 3+ 8+ 7+ 5+ 4+5)/20 = 4.3
Mean total household of the 8th-grade sample: (7+5+5+5+3+ 4+ 5+ 3+ 2+ 8+ 6+5+6+3+3+4+4+5+3+4)/20 = 4.5
Answer:
7th grade: C
8th grade: B
Step-by-step explanation:
100% true
Alicia drove at a constant speed and traveled 182.4 miles in 3 hours. How many miles
would Alicia travel in 11 hours at the same speed?
Answer:
[tex] V = \frac{182.4 mi}{3 hr}= 60.8 \frac{mi}{hr}[/tex]
And then we can find the distance travelled in 11 hours with this formula:
[tex] D = Vt[/tex]
And replacing we got:
[tex] D = 60.8 \frac{mi}{hr} *11 hr =668.8 mi[/tex]
So then after 11 hours she will travel 668.8 mi
Step-by-step explanation:
For this case w eknow that Alicia drove at a constant speed 182.4 mi in 3 hours. We can find the speed with this formula:
[tex] V= \frac{D}{t}[/tex]
Where V is the velocity, D the distance and t the time if we replace we got:
[tex] V = \frac{182.4 mi}{3 hr}= 60.8 \frac{mi}{hr}[/tex]
And then we can find the distance travelled in 11 hours with this formula:
[tex] D = Vt[/tex]
And replacing we got:
[tex] D = 60.8 \frac{mi}{hr} *11 hr =668.8 mi[/tex]
So then after 11 hours she will travel 668.8 mi
In Evan's senior class of 240 students, 85% are planning to attend college after graduation. What is the
probability that a senior is chosen at random not planning to attend college after graduation?
Answer:
For this case we want to find the probability that a senior is chosen at random not planning to attend college after graduation so then we can use the complement rule given by:
[tex] P(A') = 1-P(A)[/tex]
Where A is the vent of interest and replacing we got:
[tex] P(A') = 1-0.85= 0.15[/tex]
So then the probability that a senior is chosen at random not planning to attend college after graduation is 0.15 or 15%
Step-by-step explanation:
For this case we know that the sample size if n =240 and we also know that the probability that in the Evan's class the any student are planeed to attend collge after graduation is:
[tex] P(A) =0.85[/tex]
For this case we want to find the probability that a senior is chosen at random not planning to attend college after graduation so then we can use the complement rule given by:
[tex] P(A') = 1-P(A)[/tex]
Where A is the vent of interest and replacing we got:
[tex] P(A') = 1-0.85= 0.15[/tex]
So then the probability that a senior is chosen at random not planning to attend college after graduation is 0.15 or 15%
A recreational equipment supplier inds that among orders that include tents, 40% also include sleeping mats. Only 5% of orders that do not include tents do include sleeping mats. Also, 20% of orders include tents. Determine the following probabilities:
a. The order includes sleeping mats.
b. The order includes a tent given it includes sleeping mats.
Answer:
a. 12%
b. 2/3
Step-by-step explanation:
Given data regarding orders that do and don't include tents and/or mats, you want to find the probabilities of (a) the order includes mats; (b) the order includes a tent given that it includes mats.
Two-way tableThe given data is summarized in the attached two-way table. The value in blue is given in the problem statement. The values in purple are computed from values given in the problem:
40% of the 20% of orders include a tent and mat = 8% of orders
5% of the 80% of orders with no tent = 4% of orders include a mat
The numbers in black make the totals come out right.
a. Includes matThe table shows that 8% +4% = 12% of all orders include sleeping mats.
P(m) = 12%
b. Includes tent, given includes mats8% of the 12% of orders that include mats also include a tent. The probability of an order including a tent given that it includes a mat is ...
P(t|m) = 8%/12% = 2/3
Consider reflection of JKL what line of reflection maps point L to point L at (-2,3)
It’s the y-axis for the first answer and the other one it’s a reflection of JKL what line of reflection maps point L to point L at (-2,3).
What is the line of reflection?When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed-line. The fixed-line is called the line of reflection.
What reflection will produce an image of RST?RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.
Learn more about the line of reflection at
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Will mark BRAINLIEST thank you!
Answer:
The above mentioned answer is wrong
Correct answer is option b)14000
Step-by-step explanation:
By the rule of front-end estimation
719 is estimated as 700
And 26 is estimated as 20 .
The product of 719 and 26 is estimated by multiplying 700 and 20.
The product of 700 and 20 is 14000
Hence the correct answer is option b) 14000
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
A line passes through the point (-8,-5) and has a slope of 3/4. Write an equation in point slope form for this line.
Answer:
y+5 = 3/4(x+8)
Step-by-step explanation:
The point slope form of the equation of a line is
y - y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
The slope is 3/4 and the point is (-8,-5)
y - -5= 3/4( x - -8)
y+5 = 3/4(x+8)
Please include work! :)
Answer:
m = 13.
Step-by-step explanation:
Recall that adding logarithmic equations, (ex: log a + log b) is the same as log (a·b). Therefore:
log 12 + log 5 = log (4m + 8)
log (12·5) = log (4m + 8)
log (60) = log (4m + 8) **Ignore 'Log' to solve for 'm'
60 = 4m + 8 **Subtract both sides by 8
52 = 4m **Divide both sides by 4
m = 13.
A sheriff is interested in the average speed that people drive on Highway 50. Match the vocabulary word with its corresponding example.
Answer:
1. Statistics
2. Sample
3. Population
4. Variable
5. Data
6. Parameter
Step-by-step explanation:
1. Statistics is the mean of the sample taken - The average speed that the 250 randomly selected drivers drove on Highway 50
2. Sample is the representative part of the population - The 250 randomly selected drivers who were on Highway 50
3. Population is the group of people from which the sample was taken - All people who drive on Highway 50
4. Variable is a quantity that has values which differ - The speed that a driver drives on Highway
5. Data is information obtained used for a specific purpose - The list of the 250 speeds that the drivers studied drove
6. Parameter is the mean of a population - The average speed that all drivers go on Highway 50
Solve these equations. Thanks.
Answer:
1. 3.572 x 10^(-1)
2. 3.108 x 10^(6)
3. 5.31881533 x 10^(-6)
4. 4.18676122 x 10^(-1)
Hope this helps
The value of 49% of 86 should be just a little over 43.
True
- False
Answer:
False
Step-by-step explanation:
50% of 86 would be 43, 49% would be a bit lower then that.
Answer:
False, Its 42.14
Step-by-step explanation:
What is 49 percent of 86: 49 percent *86 = (49:100)*86 = (49*86):100 = 4214:100 = 42.14. Now we have: 49 percent of 86 = 42.14
The table shows the blood pressures of 16 clinic patients. What is the interquartile range of the data?
Answer:
i need a the data
Step-by-step explanation:
Based on an indication that mean daily car rental rates may be higher for Boston than for Dallas, a survey of eight car rental companies in Boston is taken and the sample mean car rental rate is $47, with a standard deviation of $3. Further, suppose a survey of nine car rental companies in Dallas results in a sample mean of $44 and a standard deviation of $3. Use alpha = 0.05 to test to determine whether the average daily car rental rates in Boston are significantly higher than those in Dallas. Assume car rental rates are normally distributed and the population variances are equal. The null hypothesis for this problem is ______.
a) μ1 - μ2 < 0
b) μ1 - μ2 > 0
c) μ1 - μ2 = 1
d) μ1 - μ2 ≠ 0
e) μ1 - μ2 = 0
Answer:
Step-by-step explanation:
This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean daily car rental rates for Boston and μ2 be the mean daily car rental rates for Dallas.
The random variable is μ1 - μ2 = difference in the mean daily car rental rates for Boston and the mean daily car rental rates for Dallas
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 > μ2 H1 : μ1 - μ2 > 0
Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(x1 - x2)/√(s1²/n1 + s2²/n2)
From the information given,
μ1 = 47
μ2 = 44
s1 = 3
s2 = 3
n1 = 8
n2 = 9
t = (47 - 44)/√(3²/8 + 3²/9)
t = 1.41
The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [3²/8 + 3²/9]²/[(1/8 - 1)(3²/8)² + (1/9 - 1)(3²/9)²] = 4.515625/0.28571428571
df = 16
We would determine the probability value from the t test calculator. It becomes
p value = 0.09
Since alpha, 0.05 < than the p value, 0.09, then we would fail to reject the null hypothesis.
A grocery store sells one dozen ears of white corn for $2.40. What is the unit rate for one ear of corn?
Shianne is looking up at the flag on the top of the sailboat she is sailing on. She is sitting 16 feet from the bottom
of the flag, and her line of sight is 58° from horizontal. Her eyes are 6 feet above the bottom of the sail boat.
To the nearest foot, how high up is the flag from the bottom of the sailboat?
Answer:
height of the flag from the bottom of the boat ≈ 32 ft (nearest foot)
Step-by-step explanation:
She is on her boat and the angle of elevation to the top of the flag is 58°. Her eyes her 6 ft above the bottom of the boat she is sailing on. The height of the flag from the bottom of the boat is the sum of the height of the flag and the remaining height from the horizontal line of sight upward to the flag top.
A right angle triangle was formed Shianne line of sight. The angle from her line of sight is 58° from the horizontal. Therefore,
the adjacent side of the triangle formed is 16 ft which is the distance from the boat to the flag.
adjacent side = 16 ft
opposite angle = ?
using tangential ratio
tan 58° = opposite/adjacent
tan 58° = h/16
cross multiply
h = 16 × 1.60033452904
h = 25.6053524647
height of the flag from the bottom of the boat = 25.6053524647 + 6 = 31.6053524647
height of the flag from the bottom of the boat ≈ 32 ft(nearest foot)
The data below are the monthly average high temperatures for New York City. What is the five-number summary? 40, 40, 48, 61, 72, 78, 84, 84, 76, 65, 54, 42
Select the correct answer below:
A) Sample minimum: 42, Sample maximum: 78
Q1: 45, Median: 63, Q3: 77
B) Sample minimum: 40, Sample maximum: 84
Q1: 45, Median: 63, Q3: 77
C) Sample minimum: 40, Sample maximum: 42
Q1: 54.5, Median: 81, Q3: 70.5
D) Sample minimum: 40, Sample maximum: 84
Q1: 40, Median: 61, Q3: 76
Answer:
B) Sample minimum: 40, Sample maximum: 84
Q1: 45, Median: 63, Q3: 77
Step-by-step explanation:
The first step is to write the temperatures in crescent order:
40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84,
The sample minimum is the lowest value = 40
The sample maximum is the highest value = 84.
Since there are 12 numbers, the sample median is the average between the 6th and 7th terms:
[tex]M = \frac{61+65}{2}\\ M=63[/tex]
The first quartile is the average between the 3rd and 4th terms:
[tex]Q_1 = \frac{42+48}{2}\\ Q_1=45[/tex]
The third quartile is the average between the 9th and 10th terms:
[tex]Q_3 = \frac{76+78}{2}\\ Q_3=77[/tex]
Therefore, the answer is:
B) Sample minimum: 40, Sample maximum: 84
Q1: 45, Median: 63, Q3: 77
what is the area of the figure composed of a parallelogram, a square, and a rectangle QUUUIIIIKKKKK!!
Answer:
126 inches
Step-by-step explanation:
The rectangle is 75 in.
The square is 16 in.
The parallelogram is 35 in.
I hope this helps :-)
Use the power of ten to complete the question
531 times what equals 5310
WILL MARK BRAINLYEST
Answer:
10 to the 1st power
Step-by-step explanation:
531 x 10 = 5310
Individuals in a group may gain protection from I predators because of the dilution effect: when o predator stocks', the larger the number of prey individuals in the group, me smaller the chance that any particular member of the group will be the victim. Foster and Treherne" tested whether the dilution effect occurred when o predatory fish attacked groups of a marine insect, ine ocean skater. A subset of their data is presented in the table, which shows the number of predator attacks (per 5 minutes) on ocean skater groups differing in size. Calculate the average number of attacks (per 5 minutes! for each group size. Do the fish predators show a clear preference for attacking small groups over large groups [or vice versa)? Explain. For each group size, convert the average that you calculated for question 1 into the average number of attacks per individual (per 5 minutes) Is there a consistent relationship between the overage number of per individual (per 5 minutes) and group size? Explain. Are these results consistent with the dilution effect?
Answer:
ffhn
Step-by-step explanation:
(Geometry) PLZ HELP ASAP
Answer:66.4
Step-by-step explanation:
[tex]A_{semicircle} =\frac{1}{2} \pi r^2=\frac{1}{2} \pi (\frac{13}{2} )^2= 66.36614 \approx66.4[/tex]
Find the value of b in the graph of y=3x+b if it is known that the graph goes through the point: M(2,1)
Answer:
-5
Step-by-step explanation:
y=3x+b
M(2,1)
1=3*2+bb=1-6b= -5At the airport, d airplanes flew away, and b were still there. How many more airplanes stayed at the airport than flew away?
Answer:
b-d
Step-by-step explanation:
At the airport, d airplanes flew away, and b were still there.
Number of airplanes which flew away =d Number of airplanes which stayed at the airport =bWe are required to determine how many more airplanes stayed at the airport than flew away.
To do this, we subtract the number of airplanes which flew away from the number which stayed.
Therefore:
Number of more airplanes which stayed than flew away
=Number of airplanes which stayed-Number of airplanes which flew away
= b-d
If the statement 4 > 3 is true, which of the following are true about the relationship between –4 and –3? Check all that apply.
–4 < –3
The inequality changes from greater than to less than because -4 is less than -3.
–4 > –3
The greater than inequality holds true even when the opposites of 4 and 3 are used.
–4 = –3
Answer:
A AND B
Step-by-step explanation:
TRUST MEEEEE FRENZ:)
If 4 > 3 then - 4 < -3 is true because when additive opposites of numbers are used inequality get reversed.
What is an inequality?Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Given inequality,
4 > 3
If we multiply with -1 on both sides inequality get reversed
-1 × 4 > -1 × 3
-4 < -3.
Hence, the inequality changes from greater than to less than when opposites of 4 and 3 are used.
Learn more about inequality here:
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MegaPhone Design Inc. designs megaphones with sport team stickers on opposite sides
of the megaphone. Estimate the percent of the surface area of the megaphone
covered by the stickers. Round to the nearest percent.
*see attachment for the megaphone being referred to here
Answer:
9%
Step-by-step explanation:
==>Given:
Conical megaphone with the following dimensions:
Slant height (s) = 2.25 ft
Diameter (D) = 1.2 ft (radius r = 0.6 ft)
π = 3.1
Area covered by sticker on one side = area of square = 6 in × 6 in = 0.5 ft × 0.5 ft = 0.25 ft²
==>Required
% of the surface of area of the conical megaphone that is covered by the sticker = area covered by the sticker ÷ surface area of megaphone × 100
==>SOLUTION
Area covered by sticker on both sides = 0.25 ft² + 0.25 ft² = 0.5 ft²
Surface area of the megaphone = surface area of a cone = πrs + πr²
S.A of megaphone = (3.14 × 0.6 × 2.25) + (3.14 × 0.6²)
S.A = 4.239 + 1.1304
S.A = 5.3694 ft²
Therefore, % of the surface of area of the conical megaphone that is covered by the sticker = 0.5 ÷ 5.3694 × 100
= 9.31202741
= 9%
Answer:
Statistics show the megaphone was a success in South Carolina.
Step-by-step explanation: