Al's Bakery has a checkbook balance of $1,650. A $700 deposit was made today and will be added to the available balance tomorrow. There are two outstanding checks that total to $623. There are no other outstanding items. Which one of the following statements accurately reflects this situation? * The firm's current available balance is equal to $1,650 plus $700 minus $623 The disbursement float is $1,650. The firm's collection float exceeds its disbursement float. The firm's available balance is greater than its book balance. The firm has a net disbursement float.
Answers
Answer:
20jsbdbdhsnebbjiw jwjwbsnsnenskssmwme jejwinsjeiidd
Related Questions
A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests.
The system of equations below can be used to model the number of guests that were children, x, and the number of guests that were adults, y.
First, place a point on the graph representing the solution to the system of equations. Notice that one of the equations in the system has already been graphed.
Then, determine the approximate number of guests that were children and the approximate number of guests that were adults for that day.
Answers
The approximate number of guests that were children are 172 and adults are 278
How to determine the approximate number of guests that were children and adults for that day?From the complete question, we have the following system of equations
25x + 12y = 9014
x + y = 450
Make y the subject in x + y = 450
y = 450 -x
Substitute y = 450 - x in 25x + 12y = 9014
25x + 12(450 - x) = 9014
Expand the expression
25x + 5400 - 12x = 9014
Evaluate the like terms
13x = 3614
Divide both sides by 12
x = 278
Substitute x = 278 in y = 450 -x
y = 450 - 278
Evaluate
y = 172
Hence, the approximate number of guests that were children are 172 and adults are 278
Read more about system of equations at:
https://brainly.com/question/14323743
#SPJ1
Which of the following angles are shown in the drawing?
Answers
The angle from the options given that is shown in the drawing is: D. <LIJ.
What is an Angle?An angle is a geometric figure that is formed by two rays that share the same endpoint, called the vertex. The rays are called the sides of the angle, and the endpoint is called the vertex.
In the drawing given, IJ and LI are two segments that have a common endpoint called vertex I.
Points L, I, and J forms an angle whose vertex is at I, as shown in the image given. Thus, the angle shown in the drawing is: D. ∠LIJ.
Learn more about angles on:
https://brainly.com/question/28470790
#SPJ1
In the following diagram \overline{DE} \parallel \overline{FG}
DE
∥
FG
start overline, D, E, end overline, \parallel, start overline, F, G, end overline and \overline{KL} \perp \overline{FG}
KL
⊥
FG
start overline, K, L, end overline, \perp, start overline, F, G, end overline.
What is the measure of \greenD{\angle x}∠xstart color #1fab54, angle, x, end color #1fab54?
Angles are not necessarily drawn to scale.Given the following:
Answers
Answer:
<x = 31°
Step-by-step explanation:
m<BCA = m<GCJ (vertical angles)
m<BCA = 59° (substitution)
Since line KL is perpendicular to line FG, the angle formed at point B is 90°.
Therefore, m<ABC = 90°
m<BAC + m<ABC + m<BCA = 180° (sum of triangle)
m<BAC + 90° + 59° = 180° (Substitution)
m<BAC + 149° = 180°
m<BAC = 180° - 149°
m<BAC = 31°
<x = <BAC (vertical angles)
m<x = 31° (substitution)
Answer:
its 32.
Step-by-step explanation:
I i kept doing clues on khan academy and it asked me
How do you know that the bowling pins are set up in parallel lines?
Answers
Answer:
you look at them from an angle
If administrative assistants at Bookworm Publications make phone follow-ups after textbook reviews, more colleges and universities will adopt a new statistics book. The x + 600 publisher noticed that new book sales varied in the second year according to S(x) = A0 - , where S is total sales and x is the number of phone calls made to colleges which have adopted the book. Ao denotes the sales from the previous year. x2 Assuming A0 = 2600, what sales can Bookworm Publications expect if they make 50 follow-up phone calls? Round your answer to two decimal places if necessary. Answer Keypad Keyboard Shortcuts $I
Answers
Bookworm publications can expect 2599.74 sales. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
It is believed that the four fundamental operations, often known as "arithmetic operations," may explain all real numbers. The four mathematical operations that produce the quotient, product, sum, and difference are division, multiplication, addition, and subtraction.
We are given that the sales in second year vary according to
S(x) = A₀ - (x + 600) / x²
Now, we are given that A₀ = 2600 and x = 50.
On substituting these values in the equation, we get
⇒S(50) = [2600 - (50 + 600)] / 50²
⇒S(50) = 2600 - (650 / 2500)
⇒S(50) = 2600 - 0.26
⇒S(50) = 2599.74
Hence, Bookworm publications can expect 2599.74 sales.
Learn more about arithmetic operations from the given link
https://brainly.com/question/30283549
#SPJ1
figure 2-18 shows four paths along which objects move from a starting point to a final point, all in the same time interval. the paths pass over a grid of equally spaced straight lines
Answers
The ranking based on average speed is 1 > 2 > 4 > 3
(a) Based on the given information, we have:
V1 = V2: The objects on paths 1 and 2 have the same average velocity.
V3 < V4: The object on path 4 has a greater average velocity than the object on path 3.
(b) Average speed is simply the distance traveled divided by the time interval. If the objects move at a constant speed along each path, then the paths with the greatest distances will have the greatest average speeds. Therefore, the ranking based on average speed is:
1 > 2 > 4 > 3
Note that this ranking is based only on the distances traveled along each path, and does not take into account the directions of motion or any changes in direction.
Learn more about average velocity here https://brainly.com/question/862972
#SPJ4
Hector invests $20,000 at age 21. He hopes the investment will be worth $200,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
Answers
Answer:
12.12%
Step-by-step explanation:
We have that the formula is given by:
A = p * e ^ (r * t)
From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19
if we replace we have:
200000 = 20000 * e ^ (19 * r)
we must calculate r:
e ^ (19 * r) = 200000/20000
e ^ (19 * r) = 10
19 * r = ln 10
r = ln 10/19
r = 0.1212
In other words, the rate of growth is 12.12%
Answer:
12.1%
Step-by-step explanation:
James T-shirt business uses the demand function P = -Q+31 and the supply function P = Q-17. According to these functions, what will the
equilibrium point (P.Q) be for James T-shirt business?
Answers
The equilibrium point for James T-shirt business is (P, Q) = (7, 24).
To find the equilibrium point (P, Q) for James T-shirt business
we need to set the demand function equal to the supply function and solve for the values of P and Q.
Demand function: P = -Q + 31
Supply function: P = Q - 17
Setting them equal:
-Q + 31 = Q - 17
Adding Q to both sides and subtracting 31 from both sides:
2Q = 48
Dividing both sides by 2:
Q = 24
Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.
P = Q - 17
P = 24 - 17
P = 7
Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ1
In the 2012 Olympics a U.S. athlete Nathan Adrian finished the 100-meter freestyle swim in 47.52 seconds. If nathan swam the same pace in a regular 25-meter pool what would his time have been per lap?
Answers
At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.
To solve this problem
The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:
100 meters / 47.52 seconds = 25 meters / x seconds
where x is the unknown time for one lap in the 25-meter pool.
To solve for x, we can cross-multiply:
100 meters * x seconds = 47.52 seconds * 25 meters
100x = 1188
Dividing both sides by 100, we get:
x = 11.88 seconds
Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.
Learn more about idea of proportionality here : brainly.com/question/870035
#SPJ1
PLEASE HELP ( Answer all pls)
Answers
The solutions to the given linear equations found using the properties of the geometric figures are;
9. RS = 17
10. MN = 68
11. XY ≈ 15.23
12. MN = √((4 - (-1))² + (0 - 2)²) ≈ 5.39
13. The midpoint of AB is the point (-5, 1)
14. R(-3, 8)
15. JL = 22•x + 10
16. CD = 15
How can the measure and coordinates of the given geometric figures be found?9. According to segment addition postulate, we have;
RT = RS + ST
RS = 23 - 2•x
ST = 9•x - 5
Which gives;
39 = 23 - 2•x + 9•x - 5 = 7•x + 18
7•x = 39 - 18 = 21
x = 21/7 = 3
x = 3
RS = 23 - 2•x
RS = 23 - 2×3 = 17
RS = 1710. LN = 6•x - 5
LM = x + 7
MN = 3•x + 20
LN = LM + MN
Which gives;
LN = x + 7 + 3•x + 20 = 4•x + 27
LN = 6•x - 5
Therefore;
6•x - 5 = 4•x + 27
6•x - 4•x = 27 + 5 = 32
2•x = 32
x = 32/2 = 16
x = 16
MN = 3•x + 20
Which gives;
MN = 3×16 + 20 = 68
MN = 6811. The points are;
X(-9, 2), Y(5, -4)
Using Pythagorean theorem, we have;
XY = √((5 - (-9))²+(-4 - 2)²) ≈ 15.23
XY ≈ 15.2312. The coordinates of the points are;
M(-1, 2), and N(4, 0)
Which gives;
MN = √((4 - (-1))² + (0 - 2)²) ≈ 5.39
MN ≈ 5.3913. The points are;
(-3, 8), (-7, -6)
The midpoint is therefore;
((-3+(-7))/2, (8+(-6))/2) = (-5, 1)
The midpoint of AB is the point (-5, 1)14. The points are;
P(11, -2), Q(4, 3)
The midpoint of the PR = Q
Which gives;
((11+x)/2, (-2+y)/2) = (4, 3)
(11+x)/2 = 4
x = 2×4 - 11 = -3
(-2+y)/2 = 3
(-2+y) = 3×2 = 6
y = 6 + 2 = 8
The coordinates of the point R is therefore;
R(-3, 8)15. JK = 8•x + 11
KL = 14•x - 1
JL = 8•x + 11 + 14•x - 1 = 22•x + 10
JL = 22•x + 10
16. CD = CE
Therefore;
x + 6 = 4•x - 21
4•x - x = 21 + 6 = 27
3•x = 27
x = 27/3 = 9
x = 9
CD = 9 + 6 = 15
CD = 15Learn more about solving linear equations here:
https://brainly.com/question/17449824
#SPJ1
A sum of money was given to Arin, Greg, and James, the ratio is 2:5:7. James received $1180 more than Arin. How much total money was shared?
Answers
The total money was shared = $3304
What are proportion and ratio?
Two quantities are compared to form a ratio. An equality of two ratios is a proportion. How to format a ratio Analyze the ratio to see whether it is part to part or part to whole. Calculate the whole and the pieces as necessary.
Aaron, Ben, and Charles split a sum of money in the following proportions: 2: 5: 7. What was the initial amount of money shared if Charles' part was 1180 higher than Aaron's portion?
——-
Ben:::: 5x
Charles:7x
Aaron:2x
———-
7x = 2x + 1180 in the equation
5x = 1180
x = 236
————-
2x + 5x + 7x = 14x
14x = 14*236 = $3304
—————————————
Hence the total money was shared = $3304
Learn more about ratio and prportion
https://brainly.com/question/12024093
#SPJ1
The diameter of a semicircle is 2 yards. What is the semicircle's perimeter?Use 3.14 for piecan you tell me how you got this answer
Answers
The perimeter of a semicircle is equal to half the circumference plus the diameter
\(P(\text{semicircle)}=\frac{1}{2}C+d\)C is the circumference
d is the diameter
The rule of the circumference is
\(C=\pi\times d\)Since the diameter of the semicircle is 2 yards
d = 2
Since pi = 3.14, then
By using the rule of the perimeter above
\(\begin{gathered} P=\frac{1}{2}\times3.14\times2+2 \\ P=3.14+2 \\ P=5.14\text{ yards} \end{gathered}\)The perimeter of the semicircle is 5.14 yards
A financial manageress for a company is considering two competing investment proposals. For each of these proposals, she has carried out an analysis in which she has determined various net profit figures and has assigned subjective probabilities to the realization of these returns. For proposal A, her analysis shows net profits of GHȼ 20,000.00, GHȼ 30,000.00 or GHȼ 50,000.00 with respective probabilities 0.2, 0.4 and 0.4. For proposal B, she concludes that there is a 50% chance of successful investment, estimated as producing net profits of GHȼ 100,000.00, and of an unsuccessful investment, estimated as a break – even situation involving GHȼ 0.00 of net profit. Assuming that each proposal requires the same Ghana cedi investment, which of the two proposals is preferable solely from the standpoint of expected monetary return?
Answers
Answer:
Project B is preferable solely from the standpoint of expected monetary return.
Step-by-step explanation:
Calculations of Expected Returns:
Project A:
Net Profits Probability Expected Returns:
GHȼ 20,000.00 0.2 GHȼ 4,000
GHȼ 30,000.00 0.4 GHȼ 12,000
GHȼ 50,000.00 0.4 GHȼ 20,000
Total Expected Returns GHȼ 36,000
Project B:
Net Profits Probability Expected Returns:
GHȼ 100,000 0.5 GHȼ 50,000
GHȼ 0.00 0.5 GHȼ 0.00
Total Expected Returns GHȼ 50,000
Expected Returns are the returns or income which have been weighed with their probabilities of occurrence. It is used to determine the best outcome given events that have different probabilities of occurring. It is an important measure of returns which helps in deciding the best investment option to pursue.
What is the domain of the function y=x-1
Answers
Answer:
All rational numbers or all numbers
Step-by-step explanation:
The function is a linear positive slope equation, which looks like the screenie below. Lines always travel forever, and since it is a linear line with a slope, it will be forever going in both directions.
Domain is the x-values that a function has, while range is the y-values.
Since the domain and range are infinite, it is all real numbers.
Hope this helps!
Edit: forgot the image
I zoomed out 2 million units out so you get what im saying kinda
write an exponential model given two points:
(10, 140) and (11,220)
Answers
Translate this inequality as sentence :- x + 5 ≥ 10
Answers
Answer:
Let's solve your inequality step-by-step.
x+5≥10
x+5−5≥10−5
x≥5
Step-by-step explanation:
\( \longmapsto\sf x + 5 \geqslant 10\)
\( \longmapsto \sf x \geqslant 10 - 5\)
\( \longmapsto\bf x \geqslant 5\)
(Score for Question 3:
of 5 points)
3. The area of this trapezoid is 21cm².
5 cm
9 cm
What is the height of the trapezoid? Show your work.
Answer:
Answers
The two sides of the trapezoid are 3 cm and 9 cm apart, making the trapezoid 7 cm tall.
what is trapezium ?A four-sided polygon with at least one set of parallel sides is referred to as a trapezium (or trapezoid in American English). The bases of the trapezium are the horizontal sides, and the legs are the other two sides. The angles created by a trapezium's legs and one of its bases are known as the base angles, while the angles created by the other base are known as the non-base angles. Depending on the lengths of their sides and angles, trapeziums can be classified into various kinds.
given
The calculation for a trapezoid's area is as follows:
Size equals (1/2) (sum of bases) (height)
The area of the trapezoid is provided to us as 21 cm2, and the two bases' lengths are 3 cm and 9 cm. Let h represent the trapezoid's height.
When we change the formula's provided values, we obtain:
21 = (1/2) × (3 + 9) × h
21 = (1/2) × 12 × h \s21 = 6h/2
21 = 3h
h = 7 cm
The two sides of the trapezoid are 3 cm and 9 cm apart, making the trapezoid 7 cm tall.
To know more about trapezium visit:
https://brainly.com/question/8208556
#SPJ1
Find the area of the triangle in terms of the variable y if the base of the triangle is (4y - 6) meters and the height is (8y + 5) meters. Enter your answer in standard form, ay2 + by + c.
Answers
16y²-14y -15
1) Let's visualize this to better understand
2) Now let's plug that into the Triangle's area formula:
\(\begin{gathered} S=\frac{b\cdot h}{2} \\ S=\frac{(4y-6)(8y+5)}{2} \\ S=\frac{32y^2+20y-48y-30}{2} \\ S=\frac{32y^2-28y-30}{2} \\ S=\frac{32y^2}{2}-\frac{28y}{2}-\frac{30}{2} \\ S=16y^2-14y-15 \end{gathered}\)3) SO the answer is S=16y²-14y -15
This polynomial is in descending order for the variable x.
Answers
Answer:
False. It's not in the descending order for variable x.
Step-by-step explanation:
Given polynomial is,
-15x⁵y + 13x²y⁴ - x⁸
'x' is a variable in the given polynomial.
Order or degree of term x⁸ = 8
Order of term -15x⁵y = 5
Order of term 13x²y⁴ = 2
Descending order for the variable x will be,
8 > 5 > 2
So the descending order for the variable 'x' will be,
-x⁸ - 15x⁴y + 13x²y⁴
Therefore, Option (1) False is the correct option.
what is a whole 7 times a fraction 2/3
Answers
Answer:
4 2/3 mixed number
Step-by-step explanation:
i think
Answer:
Strange way of putting it but here:
7 * 2/3 = 14/3
AKA: 4 2/3
AKA: 4.6667
14 is an integer
True or false?
Answers
Answer:
trueeeeeeee!!!!!!!!!!!
Answer:
Yes, 14 is an integer
Step-by-step explanation:
An integer has to be a whole number, and 14 IS a whole number. So, yes. The answer is true
please help me with functions
Answers
Answer:
1.) Domain: [-2, 1] Range: [1, 2] 2.) Domain: [-1, 2] Range: [-2, 2]
Step-by-step explanation:
Your teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each. Let x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators. Write an inequality that represents the number of each type of calculator she can buy.
Answers
The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800
Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.
Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.
The inequality that represents the situation becomes as;
25x + 65y ≤ 800
Learn more about inequality ;
brainly.com/question/14164153
#SPJ1
Question
Elvira and Aletheia live 3.2 miles apart on the same street. They are in a study group that meets at a coffee shop between their houses. It took Elvira 1/2 hour and Aletheia 2/3 hour to walk to the coffee shop. Find both women's walking speeds.
Answers
Missing from the question
Aletheia's speed is 0.6 miles per hour slower than Elvira's speed.
Answer:
\(s_E = 3.0\)
\(s_A = 2.4\)
Step-by-step explanation:
Given
\(d = 3.2m\) -- distance
\(t_E = 1/2\) --- Elvira time
\(t_A = 2/3\) --- Aletheia time
\(s_E - s_A = 0.6\) --- the relationship between their speeds
Required
Their walking speed
Distance (d) is calculated as:
\(d = speed * time\)
For Elvira, we have:
\(d_E = s_E * 1/2\)
For Aletheia, we have:
\(d_A = s_A * 2/3\)
So, we have:
\(d_E + d_A = d\) --- total distance
This gives:
\(s_E * 1/2 + s_A * 2/3 = 3.2\)
Recall that:
\(s_E - s_A = 0.6\)
Make sE the subject
\(s_E = 0.6+s_A\)
Substitute \(s_E = 0.6+s_A\) in \(s_E * 1/2 + s_A * 2/3 = 3.2\)
\((0.6+s_A)* 1/2 + s_A * 2/3 = 3.2\)
\(0.3+1/2s_A + 2/3s_A = 3.2\)
Collect like terms
\(1/2s_A + 2/3s_A = 3.2-0.3\)
\(1/2s_A + 2/3s_A = 2.9\)
Express all as decimal
\(0.5s_A + 0.7s_A= 2.9\)
\(1.2s_A= 2.9\)
Divide both sides by 1.2
\(s_A = 2.4\)
Recall that:
\(s_E = 0.6+s_A\)
So, we have:
\(s_E = 0.6+2.4\)
\(s_E = 3.0\)
A pole 9 feet tall is used to support a guy wire for a tower, which runs from the tower
to a metal stake in the ground. After placing the pole, Mackenzie measures the
distance from the pole to the stake and from the pole to the tower, as shown in the
diagram below. Find the length of the guy wire, to the nearest foot.
Answers
Answer:
42 feet
Step-by-step explanation:
Answer:51
Step-by-step explanation:
If a storage tank is holding 450 litres when it is three quarters full, how much will it contain when it is two thirds?
Answers
Answer:
400 litres
Step-by-step explanation:
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Answers
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
The list of ordered pairs below represents a relation. {(−6,10),(−5,4),(−1,−9),(9,−4)} Find the range of the relation.
Answers
Answer:
The range is simply all the y values of the ordered pairs in the relation so the answer (in increasing order) is -9, -4, 4, 10.
A skyscraper casts a shadow 200 ft long. If the angle of elevation of the Sun is 38 degrees, then the height of the skyscraper is approximately _____.
A. 200 ft
B. 173.34 ft
D. 156.26 ft
Answers
The height of the skyscraper is D. 156.26 ft
How to determine the valueTo determine the height of the skyscraper, we need to consider the following trigonometric identities listed thus;
sinecosinetangentcotangentsecantcosecantFrom the information given, we have that;
Angle, θ = 38 degrees
The shadow casted is the adjacent side of the angle and is 200 ft
The height off the skyscraper is the opposite side
Now, using the tangent identity, we have that;
tan θ = opposite/adjacent
tan 38 = h/200
cross multiply the values, we get;
h = 200(0.7812)
Multiply the values
h = 156. 26 ft
Learn more about trigonometric identities at: https://brainly.com/question/7331447
#SPJ1
The following back to back stemplot represents the amount a sample of students spent on their last haircut. Because there are significant differences between males and females the data was selerated by gender.
Please answer to all of the questions!
Answers
The 5 - number summary of the distribution obtained from the boxplot is :
Minimum = 20Maximum = 85Lower quartile = 35Median = 44Upper quartile = 58Outlier = 100Firstly, we need to extract the values for the amount spent by females :
20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100
The five number summary include ;
Minimum, lower Quartile, Median, Upper Quartile and Maximum values.Rearranging the data in ascending order :
20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100
The boxplot clearly and easily gives the five number summary of the distribution :
Minimum = 20 (starting point of the whisker) Lower quartile = 35 (starting point of the box) Median = 44 (vertical line in between the box) Upper quartile = 58 (endpoint of the box) Maximum = 85 (endpoint of the upper whisker).Outlier :
Lower boundary = LOWER QUARTILE - (1.5 × IQR) Upper boundary = UPPER QUARTILE + (1.5 × IQR) IQR = UPPER QUARTILE - LOWER QUARTILE IQR = (58 - 35) = 23Lower boundary = 35 - (1.5 × 23) = 0.5
Upper boundary = 58 + (1.5 × 23) = 92.5
The point denoted by a dot on the boxplot is an outlier = 100Hence, values lesser than 0.5 or greater than 92.5 are outliers.
Therefore, 100 is an outlier.
Learn more : https://brainly.com/question/24582786