Answer:
$169,500Step-by-step explanation:
Mean is the average of the numbers. It is expressed as the ratio of the sum of the numbers to its sample size.
Mean = sum of the amounts/sample size
Sum of the amounts = $165,000 + $188,000 + $175,000+$150,000
Sum of amounts = $678,000
Sample size = 4 (excluding the outlier)
Mean = $678,000/4
Mean = $169,500
Hence the mean of the four remaining comps is $169,500
The height after t seconds of an object projected upward with an initial velocity of 48 feet per second from a 210-foot tower can be modeled by h=−16t^2 + 48t +210. The height of a neighboring 50-foot tall building is modeled by the equation h=50. The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5. Which statement BEST describes the validity of these solutions? A. Neither solution is valid since time values cannot be squared. B. The solution t = – 2 is the only solution since 5 seconds is an unreasonable amount of time for the object to reach a height of 50 feet. C. The solution t = 5 is the only valid solution to this system since time cannot be negative. D. Both are valid solutions to this system since both values make the equation h=−16t^2+ 48t + 210 true.
Given:
The height h of an object after t seconds is
[tex]h=-16t^2+48t+210[/tex]
The height of a neighboring 50-foot tall building is modeled by the equation h=50.
The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.
To find:
The statement which describes the validity of these solutions.
Solution:
We have,
[tex]h=-16t^2+48t+210[/tex]
Here, t is the time in seconds.
For t=-2,
[tex]h=-16(2)^2+48(-2)+210[/tex]
[tex]h=-64-96+210[/tex]
[tex]h=50[/tex]
For t=5,
[tex]h=-16(5)^2+48(5)+210[/tex]
[tex]h=-400+240+210[/tex]
[tex]h=50[/tex]
So, the value of h is 50 at t=-2 and t=5.
We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.
The solution t = 5 is the only valid solution to this system since time cannot be negative.
Therefore, the correct option is C.
2. In 2014, Social Security tax was 6.2%,
on the first $117,000. If Grace earned
$98,750 in 2014, how much Social
security tax did she pay?
1. Find the area of this complex shape composed of two congruent parallelograms. 8 cm 5 cm
Answer:
80
Step-by-step explanation:
since it is a parallelogram, you can multiply it easily. 8x5+40 40x2+80
Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold the gloves and skirt for a total of £48. She made 100% profit on the cost of the gloves, 20% profit on the total cost. Work out her percentage profit on the cost of the skirt. Give your answer to 1 decimal place.
Answer:
Profit % = 111.1 %
Step-by-step explanation:
Cost of glove = £4
Sales price of glove and skirt = £48
100% profits on the cost of the glove
20% profit on the total cost
Profit on the total cost = 20% = 0.20
Total cost + 0.20 total cost = Sale value
1.20 * total cost = 48
Total cost = 48 / 1.20
Total cost = 40
Cost of the skirt = Total cost - cost of the gloves
Cost of the skirt = 40 - 4
= 36
Price of the skirt = total value - price of the gloves
Total value = £48
100% of £4 = 100/100 * £4
= £4
Profits + cost of glove = $8
Amount remaining = £48 - £8
= £40
Profit percentage on the skirt = price of the skirt / cost of the skirt
= 40 / 36 * 100
= 1.1111 * 100
Profit % = 111.1 %
2. The length of a rectangular garden is
twice its width. If the given perimeter
is 72 m, calculate the width and area of
the rectangle.
cimeter
722
please help me out herreeeeeee
Answer:
10/21
It cant be broken down anymore so it is simplified!
Have a great day!!
Please rate and mark brainliest!!
how to Write 2 3/5 as a single fraction greater than one
Answer:
13/5
Step-by-step explanation:
Multiplying 5 and 2 and adding to 3 will give u the new numerator
Answer:
13/5 or 2.6
Step-by-step explanation:
2 3/5
2×5=10
10 + 3= 13
Put it in top of your original denominator
13/5 or 2.6
What is the area of a circle with a radius of 12 feet?
Answer:
[tex]144 \times \pi = 452.38[/tex]
Answer:
144π ft² or approximately 452.16 ft²
Step-by-step explanation:
The area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 12 feet. For pi, we can solve area in terms of pi or approximate pi to 3.14.
Approximation of Pi:
[tex]3.14 *12^2[/tex] [tex]3.14*144[/tex] [tex]452.16[/tex] 452.16 ft²In terms of Pi:
[tex]\pi *12^2[/tex] [tex]\pi *144[/tex] [tex]144\pi[/tex] 144π ft²A line with slope 4 contains the point (4,-4). What is the y-intercept of this line ?
‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!
Answer:
-4
Step-by-step explanation:
WILL GIVE BRAINLIEST TO RIGHT ANSWER!!1
850 students so those with no participation would be 12% of 850, which is also 0.12*850. Only one sport would be 0.42*850. Two sports would be 0.28*850. Three or more sports would be 0.18*850.
No participation: 102 students
Only one sport: 357 students
Two Sports: 238 students
Three of more sports: 153 students
Answer:
No Participation: 102 students
Only One Sport: 357 students
Two Sports: 238 students
Three or More Sports: 153 students
Step-by-step explanation:
The percentages represent parts of the total.
To calculate the number of students, we would need to take a percentage of the total.
So for the No Participation group, we would take 12% of 850. "Of" indicates that we would multiply the terms together.
To multiply a %, we first need to convert it to a decimal by moving the decimal point to the left two times.
The No Participation group would then be 0.12 × 850 which equals 102.
The 1 sport group would be 0.42 × 850 = 357
The 2 sport group would be 0.28 × 850 = 238
And the 3+ sport group would be 0.18 × 850 = 153
pls help!! it's due in an hour!!
find the area of the circles
Answer:
7) 28.27 cm²
8) 63.62 ft²
9) 113.10 in²
Step-by-step explanation:
You want the areas of the circles with the given diameters.
AreaThe area formula for a circle is usually written in terms of the radius of the circle. Since the diameter is given, we can rewrite the formula to make use of the diameter:
A = πr²
A = π(d/2)² . . . . . . . use d/2 for r
A = (π/4)d² . . . . . . . collect constants
Application7) Diameter = 6 cm; Area = (π/4)(6 cm)² = 9π cm² ≈ 28.27 cm²
8) Diameter = 9 ft; Area = (π/4)(9 ft)² = 20.25π ft² ≈ 63.62 ft²
9) Diameter = 12 in; Area = (π/4)(12 in)² = 36π in² ≈ 113.10 in²
<95141404393>
Jasmin's dog weighs 58 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 40 pounds. Jasmin's dog can lose an average of 1.5 pounds every week. Write the solution to an inequality that describes all possible number of weeks [Math Processing Error] x for which her dog can be at a healthy weight.
You always have to mutiply the week number by 1.5 to see how many pounds the dog has lost. For example, week 1 = 1*1.5 = 1.5 pounds lost in the first week. You can also divide the pound by 1.5 to get the week number which is what I will be doing. 58 - 40 = 18 pounds minimum to be healthy. 18/1.5 = 12. That means if Jasmin's dog is dieting properly for 12 weeks, she will be healty.
If she diets more, she will still be healty because you need 40 or less pounds to be healty.
This sentance is extra but why are 0 pounds healthy?
Xavier opened a savings account with a deposit of $12,000. The account earned simple interest. He did not make any additional deposits or withdrawals. At the end of 3 years, the account balance was $12,324. What is the annual interest rate on this account? 0. 9% 1. 8% 2. 7% 3. 6%.
The annual interest rate on the saving account of Xavier which is earned simple interest is 9%.
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
The formula for the simple interest can be given as,
[tex]I=\dfrac{PRT}{100}[/tex]
Here, (I) is the interest amount on the principal amount of (P) with the rate of (r) in the time period of (t).
Xavier opened a savings account with a deposit of $12,000. At the end of 3 years, the account balance was $12,324.
The principal amount is $12000 and the total amount is $12324. Thus, the interest earned by the Xavier is,
[tex]I=12324-12000\\I=324[/tex]
Total time period is 3 years and the account earned simple interest. Thus, put these values in the above formula as,
[tex]324=\dfrac{(12000)R(3)}{100}\\R=\dfrac{32400}{12000\times3}\\R=9\%[/tex]
Hence, the annual interest rate on the saving account of Xavier which is earned simple interest is 9%.
Learn more about the simple interest here;
https://brainly.com/question/2294792
What are all the statistical questions?
This is geometry II B and i need help on all of them pls?
Answer:
9) 5.8
10) 27.9
11) 37.1
12) 16.8
Step-by-step explanation:
For this you need to know SOH (sine = opposite/adj) CAH (cos = adj/hypo) and TOA (tan = opp/adj).
For 9, you have one side 15 and one angle 21 degrees. We can see that relative to the 21 degrees the side lengths, x and 15, are the Opposite and the Adjacent. So we label them "x=O" and "15=A". This means we have Tangent(21) = Opposite "x" /Adjacent "15"
We then evaluate tan21=x/15.
1) To get rid of the fraction multiply 15 on both sides to get 15*tan21=x.
2) Use a calculator to get the answer 5.8 (5.7579..)
For 10, it is the same process but with cosine. You have one side 19 and one angle 47 degrees. We can see that relative to the 21 degrees the side lengths, x and 19, are the Hypotenuse and the Adjacent. So we label them "x=H" and "19=A". This means we have Cosine(47) = Adjacent "19" / Hypotenuse "x"
We then evaluate cos47=19/x.
1) To get rid of the fraction multiply x on both sides to get x*cos47=19.
2) Divide by cos47 on both sides to isolate x. This will be x=47/cos21
3) Use a calculator to get the answer 27.9 (27.8593...)
For 11, refer to how I did question 9 on how it's tan68 = 15/x.
Then refer to question 10 on what to do if x is the denominator (isolate the x).
You should end up with x=15/tan68 which is 37.1 (37.1263...)
Finally for 12, it's the same but for sine (sin=opp/hyp).
You should get that the opp=15 and hypo=x.
That means sin63=15/x which is then x=15/sin63
Answer is 16.8 (16.834...)
help please
i already know that g is not the answer
Answer:
The answer is H.
SLOPE CAN BE FOUND BY: Decrease(negative) and rise/run equation.
Y-INTERCEPT CAN BE FOUND BY: where the line touches the y-axis.
solve for r. 1 + 3r > 10
Answer:
r >3
Step-by-step explanation:
1 + 3r > 10
Subtract 1 from each side
1-1 + 3r > 10-1
3r > 9
Divide by 3
3r/3 > 9/3
r >3
A 2-column table with 9 rows. The first column is labeled year with entries 1970, 1975, 1980, 1985, 1990, 1995, 2000, 2005, 2010. The second column is labeled pounds of trash with entries 3. 25, 3. 25, 3. 66, 3. 83, 4. 57, 4. 52, 4. 74, 4. 69, 4. 44. The table shows the average number of pounds of trash generated per person per day in the United States from 1970 to 2010. Use the statistics calculator to calculate the mean and median. Round the answers to the nearest hundredth. Median = Mean =.
The mean and median of the data(weight of trash in pounds for given years) given in the table is evaluated as:
Mean ≈ 4.1 poundsMedian = 4.44 How to find mean and median of a data?Mean is the ratio of sum of the observations to the total number of observations.
Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.
For the given case, the data observations are:
3.25, 3.25, 3.66, 3.83, 4.57, 4.52, 4.74, 4.69, 4.44 (they are measurement of pounds of trash for specified years(in the problem statement) )
They are total 9 observations.
Their sum is 36.95 approx.
Thus, mean of this data set = sum/number of observations [tex]\approx 36.95/9 \approx 4.1[/tex]
Arranging the data in ascending order gives
3.25, 3.25, 3.66, 3.83, 4.44, 4.52, 4.57, 4.69, 4.74
There are 9 values, therefore, the fifth value would be median as to its left and to its right will lie four-four observations.
Thus, median of the data set = 4.44
Therefore, the mean and median of the data(weight of trash in pounds for given years) given in the table is evaluated as:
Mean ≈ 4.1 poundsMedian = 4.44Learn more about mean and median here:
https://brainly.com/question/16118626
If x>-1, which number could be a value of x? O A. -1 O B. -7 O c. 1 O D.-13
Answer:
1
Step-by-step explanation:
all the other are less than -1 and since the rule is that x has to be greater than -1 its 1
What is the slope of the line on the graph ? I’ll give you a like for answer plus I suck at math also this is k12 answer
Answer:
m= [tex]-\frac{1}{3}[/tex]
Explanation:
Formula is Y=mx+b
m equals the slope (rise/run each point).
x stays for an ongoing function.
b is the y intersect(You'll see that the line crossed +4 on the vertical line).
Looking at the line from left to right, it starts from the top to the bottom instead of button to top. If this slope goes down, it is negative.
[tex]y=-\frac{1}{3}x+4[/tex]
That is why [tex]m=-\frac{1}{3}[/tex] instead of [tex]m=\frac{1}{3}[/tex]
Line segment XY has the coordinates X(–12, –6) and Y(5, 6). What is the approximate length of line segment XY?
A.
21.1 units
B.
20.8 units
C.
13.9 units
D.
12.5 units
Answer:
20.8
Step-by-step explanation:
Help right away ASAP only right answers
Answer:
- 20/21
Step-by-step explanation:
Calculate the product
5/6 x (-8/7)
Multiplying a positive and a negative equals a negative
(+)x(-)=(-)
-5/6 x 8/7
Reduce the number with the greatest common factor 2
-5/3 x 4/7
Multiply the fractions
-20/21
Solution
-20/21
Alternate form
- 0.952380
Answer
Simplify the expression.
Exact Form:
−20/21
Decimal Form:
−0.952380
Step-by-step explanation:Please mark as brainliest!
I'm not sure if I'm right on this though
Please ANSWER NOW, PLEASE HELP , for math 100 points!!!
Caution:-
Calculated approximate values as we can't use ruler in screen !
As
1/2in=4ft1in=8ft#1
Sides are
6in3in7in4inPerimeter=20in=20(8)=160ft
#2
Perimeter=2(2+1.5)=2(3.5)=7in=7(8)=56ft
#3
Width:-
2in2(8)16ftin the given image 01 equals 02 and the angles are measured in radians which of these are true
A radian is denoted by rad and it's the standard unit that is used for the measurement of angles.
What is a radian?Your information is incomplete. Therefore, an overview of radians will be given. Radian is the standard unit for angular measurement.
A radian is a unit of measure for angles which is based on the radius of circles. The formula used for radians is simply put as:
= (Degrees × π) / 180°
For example 60° will be:
= (60° × π) / 180°
= π/3
Therefore, 60° converted to radians is π/3.
Learn more about radian on:
https://brainly.com/question/19758686
Find the value of the variable in the parallelogram.
RZ = 4x + 2
SW=9x - 8
X=
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
This parallelogram contains a right angle. This tells us that the parallelogram is a rectangle.
The diagonals in a parralelogram bisect each other.
The diagonals in a rectangle are congruent.
[tex]RZ+ZT=RT\\(4x+2)+(4x+2)=RT\\8x+4=RT[/tex]
[tex]RT=SW\\8x+4=9x-8\\4=x-8\\x=12[/tex]
Ali saved Rs. 36. .
He spent 3/4 of his saving on a toy car.
What is the price of the toy car?
Answer:
₹ 108
Step-by-step explanation:
Let the money Ali saved be x
As he spent 3/4 of x, part of money save is (1/4) of x
[tex]\frac{1}{4}*x = 36\\\\[/tex]
x = 36*4
x = ₹ 144
Price of toy = 144 - 36 = ₹ 108
Ali saved Rs. 36. So, the saving of Ali is Rs. 36
Now he is spending some money for buying a toy car for him with his savings. He spent 3/4 of the saving for paying for the car.
So, Price of the car:
• 3/4 of the saving
Proceeding further mathematically,
➝ 3/4 × Rs. 36
➝ Rs. 108 / 4
➝ Rs. 27
Thus the price of the car is Rs. 27. And we are done...
Carry On Learning [tex]![/tex]
If you invest $8,600 at a 3. 95% simple annual interest rate, approximately how long will it take for you to have a total of $21,000? a. 25. 3 years b. 36. 5 years c. 45. 9 years d. 60. 7 years.
The time needed to reach the amount of $21000 will be 36.5 years.
What will be the time to reach the amount $21000?It is given that
Principle = $8600
Rate = 3.95%
Total amount = $21000
So the total interest will be = Amount -principle = 21000-8600=$12400
So by using the formula
[tex]SI = \dfrac{P\times R\times T}{100}[/tex]
Here p = principle
R= Rate of interest
T= time
SI= interest amount
Now putting the values
[tex]12400= \dfrac{8600\times3.95\times T\time}{100}[/tex]
[tex]T=\dfrac{12400\times100}{3.95\times8600}[/tex]
[tex]\rm T=36.5 \ years[/tex]
Thus the time needed to reach the amount of $21000 will be 36.5 years.
To know more about simple interests follow
https://brainly.com/question/2294792
Tony purchased a rare 1959 Gibson Les Paul guitar for $12,000. Experts estimate that its value will increase by 14% per year. If this trend continues, how many years will it take for the guitar to reach a value of $90,000?
Answer: 214332.47
There is no need to explain you can just see the photo that I had displayed.
x + 3=12 need help now someone please help me
Answer:
x = 9
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 3 from both sides of the equation:
x + 3 (-3) = 12 (-3)
x = 12 - 3
x = 9
x = 9 is your answer.
~
What is 5 to the power of 3 divided by 5 to the power of 6?
Answer:
1/5³ = 1/125 = 5⁻³
Step-by-step explanation:
It can be useful to remember that an exponent signifies repeated multiplication.
5^3 = 5×5×5
5^6 = 5×5×5×5×5×5
Then the ratio is ...
[tex]\dfrac{5^3}{5^6}=\dfrac{5\times5\times5}{5\times5\times5\times5\times5\times5}=\dfrac{1}{5\times5\times5}=\boxed{\dfrac{1}{125}}[/tex]
__
If you want to leave this in terms of exponents, you can see that factors in the denominator cancel (subtract from) those in the numerator. That is ...
[tex]\dfrac{5^3}{5^6}=\dfrac{5^{3-3}}{5^{6-3}}=\dfrac{5^0}{5^3}=\boxed{\dfrac{1}{5^3}}[/tex]
The same sort of exponent arithmetic works to leave a numerator value with a negative exponent:
[tex]\dfrac{5^3}{5^6}=\dfrac{5^{3-6}}{5^{6-6}}=\dfrac{5^{-3}}{5^0}=\dfrac{5^{-3}}{1}=\boxed{5^{-3}}[/tex]
_____
Additional comment
These ideas are formulated as the rules of exponents:
(a^b)/(a^c) = a^(b-c)1/(a^b) = a^-b