Answer:
Amount should be reported in investing activities = $173,000
Step-by-step explanation:
Given:
Amount of land costing = $140,000
Sold amount of land = $173,000
Find:
Amount should be reported in investing activities
Computation:
Amount should be reported in investing activities = $173,000
The cash flow statement shows how much money is coming in and going out. The whole amount of cash received, which is 173,000 dollars, will be recorded as proceeds from the sale of land in the investment activity. As a result, the right answer is 173,000.
Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 73% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA test until the first pass. (Assume the trials are independent).
(a) What is the probability that Cathy passes the CPA test on the first try?
(b) What is the probability that Cathy passes the CPA test on the second or third try?
Answer:
The responses to these question can be defined as follows:
Step-by-step explanation:
For point a:
[tex]\to P(1) = 0.73[/tex]
For point b:
[tex]\to P(2\ or\ 3) = P(2) + P(3)[/tex]
[tex]= 0.27 \times 0.73 + 0.27\times 0.27\times0.73\\\\=0.1971+0.1971\times 0.27\\\\=0.1971+0.053217\\\\=0.250317[/tex]
QUICKKKKKKKKKKKKKKKKKKKKKKK
Answer:
Step-by-step explanation:
It’s G
6. Aerial photography is to be taken of a tract of land that is 8 x 8 mi2. Flying height will be 4000 ft above average terrain, and the camera has focal length of 6 inches. If the focal plane opening is 9 x 9 in., and minimum side overlap is 30%, how many flight lines will be needed to cover the tract for the given data
Answer:
the number of flight lines needed is approximately 72
Step-by-step explanation:
Given the data in the question;
Aerial photography is to be taken of a tract of land that is 8 x 8 mi²
L × B = 8 x 8 mi²
Flying height H = 4000 ft = ( 4000 × 12 )inches = 48000 in
focal length f = 6 in
[tex]l[/tex] × b = 9 × 9 in²
side overlap = 30% = 0.3
meaning remaining side overlap = 100% - 30% = 70% = 0.7
{ not end to end overlap }
we take 100% { remaining overlap }
[tex]l[/tex]' = 9 × 100% = 9 in
b' = 9 × 70% = 6.3 in
Now the scale will be;
Scale = f/H
we substitute
Scale = 6 in / 48000 in = 1 / 8000
so our scale is; 1 : 8000
⇒ 1 in = 8000 in
⇒ 1 in = (8000 / 63360)mi
⇒ 1 in = 0.126 mi
so since
L × B = 8 x 8 mi²
[tex]l[/tex]' = ( 9 × 0.126 mi ) = 1.134 mi
b' = ( 6.3 × 0.126 mi ) = 0.7938 mi
Now we get the flight lines;
N = ( L × B ) / ( [tex]l[/tex]' × b' )
we substitute
N = ( 8 mi × 8 mi ) / ( 1.134 mi × 0.7938 mi )
N = 64 / 0.9001692
N = 71.0977 ≈ 72
Therefore, the number of flight lines needed is approximately 72
Date Page The male population of a village is 9840 and the female population is 8965. Find the total population of the village ii) How many more males are there than females
Help please
The cost, c(x), for parking in a hospital lot is given by c(x) = 5x + 3.00, where x is the number of hours. What does the slope mean in this situation?
Answer:
The slope is the cost per hour.
$5 per hour
It takes Caroline 1 hr to ride the train to some place and 1.5 hr to ride the bus. Every week, she must make at least 8 trips to the place, and she plans to spend no more than 9 hr in travel time. If a train trip costs $6 and a bus trip costs $5, how many times per week should she ride each in order to minimize her cost?
She should ride the train for ___ trips and the bus for ___ trips in order to minimize her cost.
Answer:
She should ride the train for 6 trips and the bus for 2 trips in order to minimize her cost.
Step-by-step explanation:
Let x represent the number of times that she travels using the train and let y represent the number of times she travels using the bus. Since she makes at least 8 trips to the place, hence:
x + y ≥ 8
Also, she plans to spend no more than 9 hr in travel time. Hence:
x + 1.5y ≤ 9
x ≥ 0, y ≥ 0.
Plotting the above equations on geogebra online graphing tool, the solution is (6, 2), (8, 0) and (9, 0).
If a train trip costs $6 and a bus trip costs $5, The cost equation (C) is:
C = 6x + 5y
At point (6, 2): C = 6(6) + 5(2) = $46
At point (8, 0): C = 6(8) + 5(0) = $48
At point (9, 0): C = 6(9) + 5(0) = $54
Therefore the minimum cost is at (6, 2). She should ride the train for 6 trips and the bus for 2 trips in order to minimize her cost.
We have just performed a one-way ANOVA on a given set of data and rejected the null hypothesis for the ANOVA F test. Assume that we are able to perform a randomized block design ANOVA on the same data. For the randomized block design ANOVA, the null hypothesis for equal treatments will ________ be rejected.
Answer:
The answer is "sometimes".
Step-by-step explanation:
A one-way ANOVA was merely performed on one collected data and the null hypothesis was rejected after an ANOVA F test. Assume we could randomize ANOVA block design with the same information. This null hypothesis for full equality is sometimes rejected for the randomized complete block design ANOVA. Therefore we understand the use of randomized ANOVA block if the null hypothesis is denied of a one-way ANOVA but the rejection of a null RBD ANOVA hypothesis isn't conditional mostly on denial of the yet another ANOVA null.
Suppose you have $1750 in your savings account at the end of a certain period of time. You invested $1500 at a 3.72% simple annual interest rate. How long, in years, was your money invested?
Answer:
4.48 years
Step-by-step explanation:
The formula for simple interest is
A = P(1+r*t), with A being the final amount, P being the initial amount, r being the interest rate, and t being the time. Plugging our values in, we get
1750 = 1500(1+0.0372 * t)
Note that 3.72 was translated into 0.0372 as changing percents to decimals requires dividing by 100
Expanding our equation, we get
1750 = 1500 + 55.8 * t
subtract 1500 from both sides to isolate the t and its coefficient
250 = 55.8 * t
divide both sides by 55.8 to get t
t = 4.48
23 greater than b is at least -276
Answer:
23 + b ≤ -276
Step-by-step explanation:
In this exercise, you're required to write an algebraic expression for the word problem. Thus, you'll write out a mathematical equation using the given values and unknown variable.
Translating the word problem into an algebraic expression, we have;
23 + b ≤ -276
Simplifying further, we have;
b ≤ -276 - 23
b ≤ -299
Suppose the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 11 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 114 million dollars
Answer:
95.73%
Step-by-step explanation:
Given data:
mean μ= 95
standard deviation, σ = 11
to calculate, the probability that a randomly selected firm will earn less than 114 million dollars;
Use normal distribution formula
[tex]P(X<114)=P(Z<\frac{X-\mu}{\sigma} )[/tex]
Substitute the required values in the above equation;
[tex]P(X<114)=P(Z<\frac{114-95}{11} )\\P(X<114)=P(Z<1.7272)\\P(X<114)=0.9573[/tex]
Therefore, the probability that a randomly selected firm will earn less than 114 million dollars = 95.73%
"1. A z-score of zero always means
a.
the raw score does not exist.
b.
the raw score exists, but is negligible.
c.
the raw score almost never occurs.
d.
the raw score is equal to the mean."
Answer:
d.
Step-by-step explanation:
Here is an answer I found on the internet (kudos to investopedia.com)
If a Z-score is 0, it indicates that the data point's score is identical to the mean score.
In other words, it's saying that a z-score of zero has a standard deviation of zero.
Warren drives his car 330 miles and has an average of a certain speed. If the average speed had been 3 mph more. he could have traveled 352 miles in the same length
of time. What was his average speed?
Keypad
Answer:
45 miles per hour
Step-by-step explanation:
d=distance in miles
r=rate miles/hr
t = time in hours
t = 352/(r+3)
330/r = 352/(r+3)
352r = 330r + 990
22r = 990
r = 45
12
х
8
6
Find the value of x.
A) 9
B) 16
C) 14
D) 10
Answer:
The answer is 10, hope this helps!
Step-by-step explanation:
calculate the cost of 4 liters of gasoline if 10 Liters of gasoline cost $8.20 (using proportional relationship).
A . $3.28
B. $4.20
C. $8.20
D.$10
Instructions: Solve the following literal
equation.
Solve 4x – 2y = 18 for y.
y =
Answer:
[tex]y = - 9 + 2x[/tex]
Step-by-step explanation:
Objective: Use the rules of Algebra to isolate y.
[tex]4x - 2y = 18[/tex]
[tex] - 2y = 18 - 4x[/tex]
[tex]y = \frac{18 - 4x}{ - 2} [/tex]
[tex]y = - 9 + 2x[/tex]
HELP ASAP please and thanks !!!
Answer:
t = 1
Step-by-step explanation:
16 - 2t = 5t + 9
7 = 7t
t = 1
find the degree of polynomial of the following
[tex]3x^{3} - x ^{5} [/tex]
Answer:
the degree is the value of the biggest exponent = 5 (fifth degree)
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Since the highest power of x is 5, the degree of the polynomial x
3
−9x+3x
5
is 5.
Please help me >_< will give out brainliest
====================================================
Explanation:
We have an octagon because there are n = 8 sides. The diagram below shows one way to number the sides so you can count them efficiently (without missing any or double counting any).
----------------
Plug n = 8 into the formula below
S = 180(n-2)
S = 180(8-2)
S = 180(6)
S = 1080
The 8 interior angles add up to 1080 degrees.
Restaurants sales totaled $38,676 for the week your customer count was $7,325 what did the average customer spend for the week
What is the average rate of increase in enrollment
per
decade between 1950 and 2000?
Given:
The graph that represents the enrollment for college R between 1950 and 2000.
To find:
The average rate of increase in enrollment per decade between 1950 and 2000?
Solution:
The average rate of change of function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
So, the average rate of increase in enrollment per year between 1950 and 2000 is:
[tex]m=\dfrac{f(2000)-f(1950)}{2000-1950}[/tex]
[tex]m=\dfrac{7-4}{50}[/tex]
[tex]m=\dfrac{3}{50}[/tex]
[tex]m=0.06[/tex]
It is given average rate of increase in enrollment per year between 1950 and 2000 is 0.06.
We need to find the average rate of increase in enrollment per decade between 1950 and 2000, So, multiply the average rate of increase in enrollment per year by 10.
[tex]0.06\times 10=0.6[/tex]
Therefore, the average rate of increase in enrollment per decade between 1950 and 2000 is 0.6.
Find the value of x in each case
Answer:
x = 69
Step-by-step explanation:
m<M = x
From the triangle we know that
m<M + m<MNQ + m<MQN = 180
From the parallel lines we know that
m<MNQ = m<UQN = x
x + x + 42 = 180
2x + 42 = 180
2x = 138
x = 69
Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.
Answer:
[tex]x^2 + 4x + y^2 +8y = 0[/tex]
Step-by-step explanation:
Given
[tex]A = (-1,-2)[/tex]
[tex]B = (2,4)[/tex]
[tex]AP:BP = 1 : 2[/tex]
Required
The locus of P
[tex]AP:BP = 1 : 2[/tex]
Express as fraction
[tex]\frac{AP}{BP} = \frac{1}{2}[/tex]
Cross multiply
[tex]2AP = BP[/tex]
Calculate AP and BP using the following distance formula:
[tex]d = \sqrt{(x - x_1)^2 + (y - y_1)^2}[/tex]
So, we have:
[tex]2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}[/tex]
[tex]2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}[/tex]
Take square of both sides
[tex]4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2[/tex]
Evaluate all squares
[tex]4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16[/tex]
Collect and evaluate like terms
[tex]4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20[/tex]
Open brackets
[tex]4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20[/tex]
Collect like terms
[tex]4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y + 20 - 20 = 0[/tex]
[tex]3x^2 + 12x + 3y^2 +24y = 0[/tex]
Divide through by 3
[tex]x^2 + 4x + y^2 +8y = 0[/tex]
Are the triangles similar ? If they are identify the similarity ratio.
Answer:
C
Step-by-step explanation:
The triangles are similar and the scale factor can be find out by computing 18/6=15/5=9/3=3
Is x-3 a factor of x- 9x² - 14x + 24?
9514 1404 393
Answer:
no
Step-by-step explanation:
We assume you are concerned with the cubic
x³ -9x² -14x +24
Its factors are all irrational, as shown in the attached graph. x-3 is not a factor.
__
x-3 is a factor if the expression evaluates to zero when x=3. Here, it does not.
((x -9)x -14)x +24 for x=3 is ...
((3 -9)(3) -14)(3) +24 = (-18 -14)(3) +24 = -96 +24 = -72
The remainder from division by x-3 is not zero, so x-3 is not a factor.
f(x)=3x-7 and g(x)=(1/3)x+7 are inverses of each other.
.True
.False
Answer:
False
Step-by-step explanation:
Sorry for the lat reply hopefully you still have that question ready. But basically in order for these equations to be considered inverses of one another it has to map its domain value and switch it to the range value and in this case it does not match the inverse when graphed.
I didn't understand this to be honest I thought I had to find what jm and lm were together and then subtract from the whole total...but ended up being wrong. whats the correct answer?
Answer:
The correct answer is 3x-2
Step-by-step explanation:
It gives you the expression for JM and LM, and it asks for JL. Therefore, if you take away LM from JM, you are left with JL. You must subtract 2x-6 from 5x-8.
∴5x-8-(2x-6)
Do not forget to distribute the negative since you are subtracting, so instead of subtracting 6 from 8, you will be adding 6 to 8 because two negatives make a positive.
A display case of toy rings are marked 5 for $1. If Zach wants to buy 50 toy rings, how much will Zach spend (not including tax)
9514 1404 393
Answer:
$10
Step-by-step explanation:
Price is proportional to the number of rings, so Zack will spend D dollars, where ...
dollars/rings = D/50 = 1/5
D = 50/5 = 10
Zack will spend $10 to buy 50 toy rings.
If the profits in your consulting business increase by 8% one year and decrease by 2% the following year, your profits are up by 6% over two years.
Answer:
not true....
assume $100 start.
in year 1 you are at $108 (up 8%)
in year 2 $108(.98) ... that is 2% down = 105.84...
thus your profit is up only 5.84% over the two years
Step-by-step explanation:
I litterally don't understand how to do this-
Answer:
Consider points (-1, 0) and (0, 1) :
[tex]{ \tt{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ { \tt{slope = \frac{1 - 0}{0 - ( - 1)} }} \\ { \boxed{ \bf{slope = 1}}}[/tex]
Answer:
slope 1
Step-by-step explanation:
above ANS is correct mark it as branliest ANS
Find the circumference of a circle with a diameter of 50 centimeters. Round your answer to the nearest
centimeter.
Given :-
Diameter of circle = 50 cm .To Find :-
The circumference of the Circle.Solution :-
We know that the circumference of the Circle with radius r is given by ,
=> C = 2πr .
Here r is 50cm .=> C = 2 × 3.14 × 50 cm
=> C = 314 cm .
Hence the required answer is 314 cm .
Answer:
Step-by-step explanation:
b 75
