Given:
Net income = $19,090
Assets at the beginning of the year = $209,000.
Assets at the end of the year total = $264,000.
To find:
The return on assets.
Solution:
Formula used:
[tex]\text{Return of assets}=\dfrac{\text{Net income}}{\text{Average of assets at the beginning and at the end}}[/tex]
Using the above formula, we get
[tex]\text{Return of assets}=\dfrac{19090}{\dfrac{20900+264000}{2}}[/tex]
[tex]\text{Return of assets}=\dfrac{19090}{\dfrac{473000}{2}}[/tex]
[tex]\text{Return of assets}=\dfrac{19090}{236500}[/tex]
[tex]\text{Return of assets}\approx 0.0807[/tex]
The percentage form of 0.0807 is 8.07%.
Therefore, the return on assets is 8.07%.
Solve the polynomial by finding all roots.
X^3-6x^2-2x+12=0
Please help on my hw
Answer:
x^2 - 7x - 30 = 0
Step-by-step explanation:
since solutions are 10 and -3
a factorised quad eqn can be formed:
(x-10)(x+3)=0
expand the eqn
x^2-7x-30 = 0 is the answer
Please help on 25 it’s confusing me I need the correct answer
Answer:
X * 0.8 = $64
x = $80
Step-by-step explanation:
Answer:
$80 (D)
Step-by-step explanation:
If Richard is getting a discount and his final price is $64 that means the answer must be above 64. That eliminates A, B, and C.
Use the formula: 20% of x = $64 and substitute the other two options. 20 percent of 84 is 16.8. 84-16.8=67.2 (not the correct answer). 20 percent of 80 is 16. 80-16=64(The Correct Answer).The answer must be $80 (D)
I need help guys thanks so much
I think its A) (f+g)(z)=|2x+4|-2
Step-by-step explanation:
find the hcf of 100,24
Answer:
4
Step-by-step explanation:
24 = 2^3 x 3
100 = 2^2 x 5^2
HCF = 2^2 = 4
A wedge of cheese is shaped like a triangular prism. The wedge of cheese is 7 inches tall. The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches. If you ate this whole block of cheese, about how many cubic inches would you have eaten (ignoring the holes)?
420 in
193 in
385 in
210 in
Answer:
193 in
Step-by-step explanation:
Volume of a triangular prism:
The volume of a triangular prism is the base area multiplied by the wedge, that is:
[tex]V = A_bw[/tex]
The base area is one half times the triangle base times it's height, so:
[tex]V = 0.5*b*h*w[/tex]
The wedge of cheese is 7 inches tall.
This means that [tex]w = 7[/tex]
The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.
This means that [tex]b = 11, h = 5[/tex]
Volume:
[tex]V = 0.5*b*h*w = 0.5*11*5*7 = 192.5[/tex]
Rounding, approximately 193 in.
Help please. I need the answer
Find the area of the shaded regions.
Answer: About 21.98 cm²
Step-by-step explanation:
First, find the area of the large shaded circle:
[tex]r^{2} \pi =3^{2} \pi =9\pi[/tex]
Find the area of the two small unshaded circles:
[tex]1) r^{2} \pi =1^{2} \pi =1\pi \\2) r^{2} \pi =1^{2} \pi=1\pi[/tex]
Subtract the area of the small circle from the large circle:
[tex]9\pi -1\pi -1\pi =9\pi -2\pi =7\pi[/tex]
Therefore, the area of the shaded region is:
[tex]7\pi =7*3.14=21.98[/tex]
Find the probability that a randomly
selected point within the circle falls
in the white area.
r = 4 cm
2.5 cm
3 cm
3 cm
[?]%
Round to the nearest tenth of a percent.
Answer:
61.2%
Step-by-step explanation:
Area of the circle π(4²) = 50.265... cm²
Area of the triangle = ½(6)(6.5) = 19.5 cm²
probability of landing is white is
1 - (19.5 / 50.265) = 0.612059...
The probability that a randomly selected point within the circle falls in the white area is 61.22%.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
As we know the circle is a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
The total outcomes = The area of a circle
The area of the circle = πr²
The area of the circle = π(4)²
Because r = 4 cm
The area of the circle = 50.285 square cm
The area of the triangle = (1/2)(3+3)(4+2.5)
The area of the triangle = 19.5 square cm
The area of the white region = 50.285 - 19.5 = 30.785 square cm
Probability = 30.785/50.285
Probability = 0.6122 or
Probability = 61.22%
Thus, the probability that a randomly selected point within the circle falls in the white area is 61.22%.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ5
♥️♥️♥️♥️♥️♥️♥️♥️♥️ help me
9514 1404 393
Answer:
AC = 2.0 mm = 41.3 kgStep-by-step explanation:
The sum of torques about the pivot point is zero when the system is in equilibrium. That means the total of clockwise torques is equal to the total of counterclockwise torques. For this purpose, torque can be modeled by the product of mass and its distance from the pivot. The uniform beam can be modeled as a point mass at its center.
__
a) Let E represent the location of the center of mass of the beam. So, AE = 1.5 m. Then the distance from C to E is AC-AE = AC -1.5 and the CCW torque due to the beam's mass is (16 kg)(AC -1.5 m).
The distance from B to C is 3 m - AC, so the CW torque due to the particle at B is (7 kg)(3 -AC m)
These are equal, so we have ...
16(AC -1.5) = 7(3 -AC)
16AC -24 = 21 -7AC . . . . . eliminate parentheses
23AC = 45 . . . . . . . . . . . add 7AC+24
AC = 45/23 ≈ 1.957 . . divide by the coefficient of AC
AC ≈ 2.0 meters . . . . rounded to 1 dp
__
b) The torques in this scenario are ...
M(0.7) = 16(0.8) +7(2.3) . . . . . . AD = 0.7 m, DE = 0.8 m, DB = 2.3 m
M = 28.9/0.7 ≈ 41.286 . . . . simplify, divide by the coefficient of M
M = 41.3 kg . . . . rounded to 1 dp
_____
Additional comment
Torque is actually the product of force and distance from the pivot. Here, the forces are all downward, and due to the acceleration of gravity. The gravitational constant multiplies each mass, so there is no harm in dividing the equation by that constant, leaving the sum of products of mass and distance.
I) Find the volume in terms of pie
ii) curved surface area in terms of pie
iii) capacity in litres (correct to nearest litre)
Answer:
i) pi×4500 cm³
ii) pi×600 cm²
iii) 14 liters
Step-by-step explanation:
in general : the diameter is 30 cm, the radius is half of that (15 cm)
i)
the volume of a cylinder is base area times height.
Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³
ii)
similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.
surface area of the cylinder mantle is
Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²
iii)
for this we need now to do the multiplication with pi and then convert the cm³ to liters.
1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³
pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters
If triangle ABC has the following measurements, what is the measure of angle B? a=5 b=7 c=10
Answer: about 40.54°
Step by step explanation:
7^2 = 5^2 + 10^2 - 2(5)(10)cos(B)
cos(B) = (7^2 - 5^2 - 10^2) / (-2(5)(10) )
B = cos-1 [ (7^2 - 5^2 - 10^2) / (-2(5)(10) ] = cos-1 (.76) = about 40.54°
Belinda wants to invest in an option that would help to increase your investment value by the greatest amount in 20 years. Will there be any significant can difference in the value of Belinda‘s investment after 20 years if she uses option two over option one? Explain your answer, and show the investment value after 20 years for each option.
Step-by-step explanation:
Part A, Option 1 is a exponential function while option is a linear equation.
Part B, Let y=b*a^(x) be the function for option 1. At x=1, y=1100 and at x=2, y=1210. 1100=b*a and 1210=b*a^2. Dividing them both we get, b=1.1 and a=1000. y=1000*(1.1)^(x). For option 2, it's a linear equation with a function y(x)=1000+100x.
The 20 year difference would be immense. With option 1, Belinda will get $6727.5 whereas with option 2, they will end up with $3000
The length of a rectangle is four more than three times the width. If the perimeter of this rectangle is at least 70 square centimeters. Write an inequality that can be solved to find the width of the rectangle
Answer:
Step-by-step explanation:
Let L represent the length of the triangle.
Let W represent the width of the triangle.
The length of a rectangle is four more than three times the width. This means that
L = 3W + 4
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter of this rectangle is at least 70 square centimeters, an inequality that can be solved to find the width of the rectangle is
2(L + W) ≥ 70
L + W ≥ 70/2
L + W ≥ 35
Answer:
6w +8 ≥70
Step-by-step explanation:
Let w be the width
The length is then 3w+4 ("the length is 4 more than 3 times the width")
Since a rectangle has opposite sides equal, the perimeter would be 2(l+w) or 2(w+3w+4) which would be 6w +8. If the perimeter is at least 70, that is, 70 or more, the inequality would be
6w + 8 ≥ 70.
The units, however, would not be SQUARE centimeters, just centimeters. If the question were asking for area, the units would be square units, but since perimeter is a linear measurement, the units would have to be linear.
What is the maximum value of the objective function, P, with the given constraints?
P = 25x+45y
(4x+y≤16)
(x+y≤10)
(x≥0)
(y≥0)
Options
A: 100
B: 410
C: 450
D: 720
Answer:
D
Step-by-step explanation:
lim(x-0) (sinx-1/x-1)
lim ( sinx-1)/(x-1)
x=>0
apply x=0
(sin(0)-1)/(0-1)
(0-1)/(-1)
=1
When a sample has an even number of observations, the median is the
Group of answer choices
observation in the center of the data array
average of the two observations in the center of the data array
value of the most frequent observation
Answer:
average of the two observations in the center of the data array
Step-by-step explanation:
When there is an odd number, we use the middle
Example
1,5,9
The median is 5
When there is an even number
1,3,5,7
The middle is between the 3 and 5 so we average the middle number
(3+5)/2 = 4
Answer:
the answer is => observation in the center of the data array
Step-by-step explanation:
[tex]\sf{}[/tex]
Complete the equation: x2 + 8x + __ = (__)^2
Answer:
B
Step-by-step explanation:
16,x+4
by completing square formula
I need help answering this ASAP
can you zoom in on my pic more or no does it say 1/z
Answer:
Option A. Reciprocal
Answered by GAUTHMATH
given the circle find the arc measure
9514 1404 393
Answer:
87°
Step-by-step explanation:
Call the circle center point X. The measure of arc FG is the measure of central angle FXG, which is the supplement of central angle GXH.
arc FG = 180° -93° = 87°
find inverse of f(x)=- 1/2 x+11
Answer:
-2x + 22
Step-by-step explanation:
We have the function f(x) = -1/2x + 11 and are asked to find the inverse of it.
To find the inverse, we will follow the according steps :
Replacing x with ySolving for yLet's do as followed:
Replacing x with y :
Since f(x) can be also written as y, we can do y = -1/2x + 11, thus making the switch alot easier.
y = -1/2x + 11
x = -1/2y + 11
Solve for y :
We have to get y alone to find the inverse, to do so, get rid of the outlier by subtracting 11 from both sides :
x - 11 = -1/2y
Now divide both sides by -1/2 to get y alone and retrieve our inverse :
-2(x - 11)
Distribute to get the inverse :
-2x + 22
The 90% confidence interval for the mean one-way commuting time in New York City is
5.22 < < 5.98 minutes. Construct a 95% confidence interval based on the same data.
Which interval provides more information?
Answer:
95% provides more information
Step-by-step explanation:
The confidence interval is obtained by using the relation :
Xbar ± Zcritical * σ/√n
(Xbar - (Zcritical * σ/√n)) = 5.22 - - - (1)
(Xbar + (Zcritical * σ/√n)) = 5.98 - - (2)
Adding (1) and (2)
2xbar = 5.22 + 5.98
2xbar = 11.2
xbar = 11.2 / 2 = 5.6
Margin of Error :
Xbar - lower C.I = Zcritical * σ/√n
Zcritical at 90% = 1.645
5.6 - 5.22 = 1.645 * (σ/√n)
0.38 = 1.645 * (σ/√n)
(σ/√n) = 0.38 / 1.645 = 0.231
Therefore, using the se parameters to construct at 95%
Zcritical at 95% = 1.96
Margin of Error = Zcritical * σ/√n
Margin of Error = 1.96 * 0.231 = 0.45276
C.I = xbar ± margin of error
C. I = 5.6 ± 0.45276
C.I = (5.6 - 0.45276) ; (5.6 + 0.45276)
C. I = (5.147 ; 6.053)
Hence, 95% confidence interval provides more information as it is wider.
Nancy left a bin outside in her garden to collect rain water. She notices the 1/2 gallon fills 2/3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.
Here we want to solve a question involving fractions, we will find that:
3/4 gallon fils the complete bin.
Ok, so we know that 1/2 gallon of water, fills 2/3 of the bin.
We want to find the total amount of water that would fill the entire bin.
So we could write an equation like:
amount of water = amount of the bin that it fills.
Then, using the above information, we have:
1/2 gal = 2/3 of a bin
Now we want to get at 1 on the right side, this would mean "1 bin"
Then we multiply both sides by (3/2)
(3/2)*(1/2) gal = (3/2)*(2/3) of a bin
3/4 gal = 1 bin
From this, we can conclude that (3/4) gallons of water would fill the complete bin.
If you want to learn more about algebra, you can read:
https://brainly.com/question/4837080
x = 0,75 gallons or x = 3/4 gallons The volume of the bin
The volume of the bin is: In terms of a fraction
1 = 3/3 or any unitary fraction 5/5 7/7 9/9
We will take 3/3 since we have the information that 2/3 of the volume of the bin was filled with 2/3 of a gallon
If 2/3 of the volume of the bin was filled with 1/2 gallon then we make a rule of three according to:
If 0,5 gal. fill 2/3 of the volume of the bin then
x gal fill 3/3 ( the volume of the bin)
solving
0,5 (gal) * 3/3 = (2/3)*x ( The equation)
0,5*3 = 2*x
x = (0,5*3)/2
x = 0,75 gallons or x = 3/4 gallons
A concern of Major League Baseball is that games last too long. Some executives in the league's headquarters believe that the mean length of games this past year exceeded 3 hours (180 minutes). To test this, the league selected a random sample of 80 games and found the following results: = 193 minutes and s = 16 minutes.
Based on these results, if the null hypothesis is tested using an alpha level equal to 0.10, which of the following is true?
a. The null hypothesis should be rejected if xbar > 182.31.
b. The test statistic is t = 1.2924.
c. Based on the sample data, the null hypothesis cannot be rejected.
d. It is possible that when the hypothesis test is completed, a Type II statistical error has been made.
Answer:
it is possible that when the hypothesis test is completed,a type ll statistical error has been made
Function A is a linear function. An equation for Function A is 3x + 4y = 28.
Which of the following functions has the same slope as Function A?
4
3
3
y = -x
4
4
y = -x
3
-
3
4.
4 3
y = --X +
3 4
3 4
y = --X +
4 3
Which is equivalent to 10’6
Answer:
35/5 (if you mean 10.6)
1000000 (if you mean 10 to the sixth power)
0.000001 (if you mean 10/6)
Answer:
There are 126 inches in 10'6
Step-by-step explanation:
take our feet and multiply the value by 12
University Trailer Sales Company sold 356 utility trailers during a recent year. If the gross annual sales for the company was $328128, what was the average selling price for each trailer?
The average selling price of each trailer was nearly $
(Round to the nearest whole number.)
Answer:
The Answer is 2000$..........
A boat has a rip-hole in the bottom while 20 miles away from the shore. The water comes in at a rate of 1.5 tons every minute, and the boat would sink after 70 tons of water came in. How fast must the boat go in order to reach the shore before sinking?
Answer:
t = 70 tons/1.5 tons/min = 46.7 min = 2800 sec before boat sinks
S = V * t
V = S / t = 20 mi * 5280 ft/mi / 2800 sec = 37.7 ft/sec
Since 88 ft/sec = 60 mph
the speed is 60 * 37.7 / 88 = 25.7 mph
Clara travels from her home to Stoke.
The distance from her home to Stoke is 100 miles.
She travels at an average speed of 50 miles per hour.
She stops for 20 minutes on the journey. Clara arrives in Stoke at 10:10 am.
At what time did she leave home?
Answer:
7:50 am
Step-by-step explanation:
Clara took 2 hours to reach, and she took a 20 min break, so she left at 7:50 and arrived at 10:10.
Answer:
7:50
Step-by-step explanation:
50 miles per hour/50 miles per 60 min.
50 miles + 50 miles = 100 miles.
if 50 miles takes 1 hour, 100 miles would equal to 2 hours.
considering clara took a 20 min break, thats 2 hours and 20 minutes.. subtract that from the time she arrived and you would get 7:50
Meena's father's present age is six times Meena's age. Five years from now she will be one-third of her father's present age. What are their present ages?
Answer:
Meena's age is 5 and her fathers age is 30 years old.
Step-by-step explanation:
Let's assume Meena's age to be x years old.
Meena's dads present age is 6x.
5 years from now Meena's age will be (1/3)rd of her dads age
x+5= 1/3 * 6x
x+5=2x
x=5.
Meenas present age is 5 years and her dads age is 30 years
