Answer:
Common-size percent for cash = 5.73 % (Approx.)
Step-by-step explanation:
Given:
Total cash = $26,200
Total assets = $457,000
Total equity = $156,630
Find:
Common-size percent for cash
Computation:
Common-size percent for cash = [Total cash/Total assets]100
Common-size percent for cash = [26,200/457,000]100
Common-size percent for cash = 5.73 % (Approx.)
How do you solve the following equation
: X/-3 + 2=4
Answer:
For this equation you be inverse operation giving you the answer -6
further information down below :)
Step-by-step explanation:
Your goal for this is to isolate the variable which is x.
First, find the operation opposite of addition which is subtraction
When you add that operation to both sides with the constant(2)
2 and 2 cancel each other out, but to the for the term(4) 4-2=2
after that you have your new term which is x/-3=2
You do the same thing but to in division because the opposite of multiplication is division in this case you multiply -3 to both sides -3*-3 cancel each other out, now you have-3*2= negative times a positive equal negative in anyway so, overall you get -6.
To check:
you do the full equation now that you have isolated the variable, you now can do the operations normally which are. -6/-3=2 because when you divide a negative by a negative you get a positive end out with 2+2=4 which is correct and match the sum.
This means that our answer is correct :)
a) List the differences between Linear and Exponential Functions.
Answer:
What is the difference between linear and exponential functions? Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.
Taco Bell had 60 orders. 60% were tacos and 40% were burritos. How many tacos is that?
Answer:
60% of 60 is 36. The answer should be 36
Step-by-step explanation:
60 / 100 * 60
0.6 * 60
36
Just divide the number by 100 and multiply it by the percentage.
Mark me as brainliest if you want to.
Please really need help on this please
Answer:
y + 3= -7(x + 2)
Step-by-step explanation:
...........
A tree initially measures 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a final height of 57 feet. During those 7 1/2 years, what was the average yearly growth rate of the height of the tree?
Answer:
OK I will dot this after getting 10 followers
Answer:
deez
Step-by-step explanation:
Emily can walk 3/4 of a mile in 1/4 of an hour.
At this same rate, how long does it take Emily to walk 1 mile?
Answer:
20 minutes
Step-by-step explanation:
Method 1:
(0.75)/(0.25)=(1)/(x)
0.75*1.333333=1, so multiply 0.25 by 1.333333 to find the value of x!
0.25*1.333333=0.33333, or one-third of an hour, or 20 minutes.
Method 2:
(0.75)/(0.25)=(1)/(x)
Cross-multiply
0.75x=0.25
(0.25)/(0.75)=x
x=0.33333 hours
Emily will use 20 minutes or 1/3 hour to walk 1 mile.
Note that 3/4 = 0.75
1/4 hour = 1/4 × 60 = 15 minutes
Let the amount of time that it takes Emily to walk 1 mile be represented by x.
Therefore, the equation to solve the question will be:
0.75 /1 = 15/x
Cross multiply
(0.75 × x) = (1 × 15)
0.75x = 15
x = 15/0.75
x = 20
Therefore, Emily will use 20 minutes or 1/3 hour to walk 1 mile.
Read related link on:
https://brainly.com/question/21405634
How many distinct positive integer-valued solutions exist to the equation (x2 - 7x + 11)(x2 - 13x + 42) = 1
Answer:
The given equation has TWO positive integer valued solutions, {6, 7}
Step-by-step explanation:
Here we are given two trinomial factors, each of which needs to be set equal to zero and in each case the resulting quadratic equation solved.
(x^2 - 7x + 11) has the coefficients {1, -7, 11}, and so the discriminant of this quadratic is b^2 - 4(a)(c), or 49 - 4(11), or 5.
Because this discriminant is positive, we know immediately that this quadratic has two real, unequal roots involving √5 (NO integer roots).
Next we focus on (x^2 - 13x + 42). The discriminant is b^2 - 4(a)(c), or
169 - 168, or 1. Again we see that there are two real, unequal roots:
+13 ± √1 +13 ± 1
x = --------------- or x = -------------
2 2
OR x = 14/2 = 7 (integer) or x = 12/2 = 6 (integer).
The given equation has TWO positive integer valued solutions, {6, 7}
The slope of a line is 1/3.
What is the slope of a line perpendicular to this line?
Answer:
-3
Step-by-step explanation:
Slopes of a perpendicular line are the opposite reciprocal.
So, the opposite of 1/3 is -1/3.
Then the reciprocal of -1/3 is -3 (since -3 is -3/1).
15) Volume of a cuboid with base area 500 m2 and height 4m is. with steps
Answer:
Volume of cuboid = 2000 m³
Step-by-step explanation:
Given the following data;
Base area = 500 m²
Height = 4m
To find the volume of a cuboid;
The volume of a cuboid is given by the formula;
Volume of cuboid = length * breadth * height
But remember, base area = length * breadth
Therefore, the volume of the cuboid becomes;
Volume of cuboid = base area * height
Substituting into the equation, we have;
Volume of cuboid = 500 * 4
Volume of cuboid = 2000 m³
Which parametric equations represent (x + 1)2 + (y – 3)2 = 16
PLEASE HELP WILL GIVE BRAINLIEST
x = 8cos(t) – 1 and y = 8sin(t) + 3
x = –cos(t) + 8 and y = 3sin(t) + 8
x = 4cos(t) – 1 and y = 4sin(t) + 3
x = –cos(t) + 4 and y = 3sin(t) + 4
Answer:
x = 4cos(t) – 1 and y = 4sin(t) + 3
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which:
The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:
[tex]x(t) = r\cos{(t)} + x_0[/tex]
[tex]y(t) = r\sin{(t)} + y_0[/tex]
In this question:
[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]
This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:
x = 4cos(t) – 1 and y = 4sin(t) + 3
what is the equation of a circle with a radius of 7 and centered at point (3,-4)
Answer:
(x - 3)² + (y + 4)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + *y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 4) and r = 7 , then
(x - 3)² + (y - (- 4) )² = 7² , that is
(x - 3)² + (y + 4)² = 49 ← equation of circle
According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location, assists six customers per hour, on average.
a. Determine the probability the amount of time Gary takes to assist the next customer is less than 12 minutes.
b. Determine the probability the amount of time Gary takes to assist the next customer exceeds 20 minutes.
c. Determine the probability the amount of time Gary takes to assist the next customer is between 8 and 15 minutes (in the interval 8 to 15 minutes)
d. Determine the probability the amount of time Gary takes to assist the next customer is either less than 14 minutes or greater than 22 minutes.
Step-by-step explanation:
6 customers per hour [tex]=1[tex] customer per 10 minutes
[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)
Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]
Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.
Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]
[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]
a)[tex] \begin{array}{c}
P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\
P(X<12)=0.699 \end{array}[/tex]
[tex]\begin{aligned}
&\begin{array}{c}
P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\
P(X>20)=0.1353
\end{array}\\[/tex]
&\text { c) }\\
&P(8<X<15)\\
&\begin{array}{l}
=P(X<15)-P(X<8) \\
=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\
=\exp (-8 / \beta)-\exp (-15 / \beta) \\
=e^{-0.8}-e^{-1.5} \\
=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\
\quad P(8<X<15)=0.2262
\end{array}
\end{aligned}
\begin{aligned}
&\text { d) }\\
&\begin{array}{l}
P(14<X<22) \\
=P(X<22)-P(X<14) \\
=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\
=\exp (-14 / \beta)-\exp (-22 / \beta) \\
=e^{-1.4}-e^{-2.2} \\
=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\
P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\
P(X<14 \cup X>22)=0.8642
\end{array}
\end{aligned}
The probability that a seed will germinate is 0.65. Find the probability that a seed selected at a random will not germinate. *
Answer:
19 3782 832 38= 78043
Step-by-step explanation:
Which function is graphed below?
Answer:
B: y= 3(1/3)^x
Step-by-step explanation:
I graphed it on Desmos
IHKGHUSOHUOSLSO ANSWER
I REALIZED I DID IT WRONG SO UH IGNORE WHAT I SAID IM SORRY D:
Area of the triangle is 1/2 base x height
1/2(6)x(7)
21m^2
Area of the rectangle is l x b
6 x 10
60m^2
Total area = area of triangle + area of reactangle
Total area = 21m^2 + 60m^2
Therefore total area is 81m^2
Write a word problem that could be solved using the division equation
16 divided by 2 =8
Answer:
Step-by-step explanation:
A word problem that represents division equation '16 divided by 2 =8' is Dayana and his friend John bought a 12lb bag of candy at the grocery store. If they want to share it equally, how much candy will each person get?
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
We have expression:
16 divided by 2 =8
In numerator form,
16 ÷ 2 = 8
Dayana and his friend John bought a 12lb bag of candy at the grocery store.
If they want to share it equally, how much candy will each person get?
16 ÷ 2
16 / 2 = 8
16 divided by 2 =8
The quotient is 8.
It means that each person will get 8lb of candy.
Therefore, the problem is, Dayana and his friend John bought a 12lb bag of candy at the grocery store. If they want to share it equally, how much candy will each person get?
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
26 is 65% of what number?
Answer:
40
Step-by-step explanation:
26 is 65% of 40
the boxes have the same volume what is the height if the box on the left. help thanks so much
Answer:
I THINK LIKE 9.3 NOT SURE THOUGH
Step-by-step explanation:
IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020
Answer:
Amount = Initial value × (1 + rate of interest)^years and 374
Step-by-step explanation:
The formula to determine the student population and the estimated student population is given below:
As we know that
Amount = Initial value × (1 + rate of interest)^years
= 284 × (1 + 0.04)^7
= 284 × 1.04^7
= 373.72
= 374
HELP PLS
determine the measure of angles A and B
Answer:
Angle A is 52 degrees Angle B is 78 degrees
Step-by-step explanation:
The angles all have to add up to 180.
2x + 3x + 50 = 180
5x + 50 = 180
Subtract 50 from both sides
5x = 130
Divide each side by 5
x = 26
Solve
A) 2 * 26 = 52
B) 3 * 26 = 78
--------Check--------
52 + 78 +50 = 180
180 = 180
In a study of incentives used by companies to retain mature workers by The Conference Board, it was reported that 41% use flexible work arrangements. Suppose that of those companies that do not use flexible work arrangements, 30% give time off for volunteerism. In addition, suppose that of those companies that use flexible work arrangements, 50% give time off for volunteerism. If a company is randomly selected, determine the following probabilities:
a. The company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Answer:
a) 0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b) 0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c) 0.3317 = 33.17% probability that the company uses flexible work arrangements.
d) 0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e) 0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. The company uses flexible work arrangements or gives time off for volunteerism.
41% use flexible work arrangements.
Of the 100-41 = 59% that do not use flexible work arrangments, 30% give time off for volunteerism. So
[tex]p = 0.41 + 0.59*0.3 = 0.587[/tex]
0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
41% use flexible work arrangements. Of those, 100 - 50 = 50% do not give time off for volunteerism. So
[tex]p = 0.41*0.5 = 0.205[/tex]
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
Here, we use conditional probability.
Event A: Does not give time off for volunteerism
Event B: Uses flexible work arrangments.
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
This means that [tex]P(A \cap B) = 0.205[/tex]
Probability that the company does not give time off for volunteerism:
0.205(uses flexible work arrangments).
100 - 30 = 70% of 59%. So
[tex]P(A) = 0.205 + 0.7*0.59 = 0.618[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.205}{0.618} = 0.3317[/tex]
0.3317 = 33.17% probability that the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
Again conditional probability.
Event A: Gives time off for volunteerism
Event B: Does not use flexible work arrangements.
Probability of giving time off for volunteerism:
50% of 41%(have flexible work arrangements).
30% of 59%(don't have flexible work arrangements).
So
[tex]P(A) = 0.5*0.41 + 0.3*0.59 = 0.382[/tex]
Gives time off for volunteerism and does not use flexible work arrangements.
30% of 59%. So
[tex]P(A \cap B) = 0.3*0.59 = 0.177[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.177}{0.382} = 0.4634[/tex]
0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Does not use flexible work arrangments: 59%
Dont give time off for volunteerism(70% already in the 59%, so we dont add) and 50% of 41%.
[tex]p = 0.59 + 0.5*0.41 = 0.795[/tex]
0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
3. Find the length of IH.
U
12
W
V
H
O 2
06
O 12
O 24
Answer:
0 vault x32 3sqeus 487=8
Step-by-step explanation:
so its 24 of 3 squers
The factors of 16-y² are
Answer:
(4 + y)(4 - y)
Step-by-step explanation:
[tex]16 - {y}^{2} \\ \\ = {4}^{2} - {y}^{2} \\ \\ = (4 + y)(4 - y)[/tex]
Which method does NOT describe a way we can find the amount
of wood the team gathered per hour?
Answer:
D
Step-by-step explanation:
I just did it :)
PLease answer this for me !!
Answer:
X^7
Step-by-step explanation:
3+4=7
by what percent would a number change if it increased by 5% and the result was also increased by 5%
Answer:
10.25%
Step-by-step explanation:
imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%
Hope this is correct :) I'm rly not sure now
Answer:
10%
Step-by-step explanation:
Bro pls help em bro pls help me bro
Answer:
Step-by-step explanation:
What is the height of cylinder pictured below?
144
12
8
54
Answer:
B. 12 in.
Step-by-step explanation:
Diameter = 5 in.
Diagonal = 13 in.
Apply Pythagorean theorem to find the height of the cylinder.
Thus:
13² - 5² = height²
144 = height²
√144 = height
12 in. = height
Answer:
B. 12 in.
Step-by-step explanation:
Patrick will borrow $4300 at 11.5% APR. He will pay it back over 5 years.
What will his monthly payment be? (Use the table.)
$94.56
$96.79
$123.21
$141.81
Answer:
94.56
Step-by-step explanation:
because 94,56 x 11.5 x 5 =4300
Answer:
Step-by-step explanation:
Equal installments can be found by
I=P((r-1)/(r^n-1)+(r-1)) (note monthly rate is r/12, r is about 1.00958)
I=4300((1.00958-1)/(1.00958^60-1)+0.00958)
I=$94.56
Which expression is equivalent to 3y+4+y