The new check register balance of $131.35 now matches the bank statement balance of $161.96.
Describe bank balance.A bank balance is the amount of money a person or organization has in their account at a financial institution such as a bank. It reflects the amount of money that is available for spending or withdrawal, taking into account any transactions that have been made or are pending. The bank balance is an important aspect of managing finances, and individuals and businesses monitor their balances regularly to ensure that they have enough money to cover their expenses and to make sure that their accounts are in good standing.
To reconcile the checking account, you need to find out the reason for the difference between the check register balance ($107.87) and the bank statement balance ($161.96).
Add the interest earned of $0.43 to the check register balance: $107.87 + $0.43 = $108.30
Add the ATM deposit of $56 to the check register balance: $108.30 + $56 = $164.30
Subtract the incorrect amount of Check 307 ($32.95 instead of $35.29) from the check register balance: $164.30 - $32.95 = $131.35
The new check register balance of $131.35 now matches the bank statement balance of $161.96. This means the checking account has been reconciled.
To know more about bank statement, visit
brainly.com/question/24007779
#SPJ1
James works on his history work for 9/10 of an hour. He works on English for 3/10 of an hour.
How much longer does James work on history than on English?
Answer:
3 times more.
Step-by-step explanation:
\( \frac{9}{10} \div \frac{3}{10} = \frac{9}{10} \times \frac{10}{3} = 3 \)
Can yall help me with this pls its due rn and im cryinggggg ill definetly give brainliesttt : (
JUST WITH NUMBER 2 PLS THE SECOND ATTACEMENT :(
Answer: 5 (4x + 7)
Step-by-step explanation:Wouldn't it be 5(4x+7). So I guess the sign it's looking for is an addition symbol.
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Match each expression or inequality to the quantity that it represents.
Answer:
20 times 4
Step-by-step explanation:
Han's team has 4 players.
A perfect score is the maximum possible score. Each player can score up to 20 points in each round, so 20 points is the maximum score.
If each of the 4 players scores 20 points, then the total score for the team is:
20 *4
That is the expression for the team's points.
Answer: 20*4
Evaluate 3x-4 when x=5
Answer: 11
Step-by-step explanation:
Substitute x with 5.
3(5)-4=11
Answer:
11
Step-by-step explanation:
Plug in 5 for x to get the following expression:
3(5) - 4
Then just solve:
15 - 4
11
Tyler and his family had lunch at the museum cafeteria. Each person ordered a sandwich that cost the same amount, and they got $5 off their entire purchase with proof of admission to the special exhibit.if they paid a total of $35 after the discount, how much did each sandwich cost?
The cost of each sandwich is $20.
Amount paid is $35 and $5 is the off of their entire purchase.
So from this, we get that the total amount before the off is 35 + 5 = 40
So the original cost = $40
The total person is 2 i.e., Tyler and his family.
The cost of each sandwich = 40/2
= 20
Therefore the cost of each sandwich is $20.
To know more about the Amount refer to the link given below:
https://brainly.com/question/1991852
#SPJ9
For the curve given by r(t) = (-8t, -6,1 + 91²), Find the derivative pl (t) = ( ) Find the second derivative p" (t) = 10 0 18 Find the curvature at t=1 ( )
The derivative p'(t) of the curve r(t) = (-8t, -6, 1 + 91t^2) is given by (-8, 0, 182t). The second derivative p"(t) is (0, 0, 182). To find the curvature at t = 1,
To find the derivative p'(t), we differentiate each component of the curve separately. The x-component of p'(t) is the derivative of -8t, which is -8. The y-component is the derivative of -6, which is 0. The z-component is the derivative of 1 + 91t^2, which is 182t. Therefore, p'(t) = (-8, 0, 182t).
The second derivative p"(t) is obtained by differentiating each component of p'(t). Since the derivative of -8 is 0, the x-component of p"(t) is 0. The y-component is also 0 since the derivative of 0 is 0. The z-component remains as 182. Thus, p"(t) = (0, 0, 182).
To find the curvature at t = 1, we substitute t = 1 into p'(t) and calculate the magnitude of p'(t), which is |p'(t)|. Then, we calculate the magnitude of p'(t) cubed, which is |p'(t)|^3. Finally, we divide |p'(t)| by |p'(t)|^3 to obtain the curvature at t = 1. Overall, by finding the derivatives and applying the curvature formula, we can determine the curvature at t = 1 for the given curve.
Learn more about curves here: brainly.com/question/29736815
#SPJ11
which portion of the ecg corresponds to repolarization of the atria?
The portion of the ECG that corresponds to repolarization of the atria is not usually visible on a standard ECG. In some cases, abnormalities in the repolarization of the atria may be visible on an ECG as changes in the shape or duration of the T wave.
The standard ECG only records electrical activity that is strong enough to cause depolarization of the ventricles, which creates the QRS complex. The repolarization of the atria occurs during the T wave, which represents ventricular repolarization. Therefore, the repolarization of the atria is usually hidden within the T wave and cannot be specifically identified on a standard ECG.
The electrical activity of the heart is recorded on an ECG as a series of waves and intervals that correspond to specific events in the cardiac cycle. The P wave represents the depolarization of the atria, which causes them to contract and pump blood into the ventricles. The QRS complex represents the depolarization of the ventricles, which causes them to contract and pump blood out of the heart. The T wave represents the repolarization of the ventricles, which allows them to relax and refill with blood. During the cardiac cycle, the repolarization of the atria occurs after their depolarization and contraction. This repolarization wave is very small and weak compared to the depolarization wave, and it is not usually visible on a standard ECG. Instead, the repolarization of the atria is hidden within the T wave, which represents the larger and more prominent repolarization wave of the ventricles.
To know more about ECG visit :-
https://brainly.com/question/31846829
#SPJ11
if anyone please help me how to solve this equation and explain it
a. The multiplication problem is 2/2*4/6
b. The solution to the multiplication problem is 2/3.
What is a multiplication problem?
A multiplication problem is an expression which requires the product of two or more factors. Thus to solve the problem, the product of all factors in the expression has to be determined. And probably, simplification might be required arrive at the final answer as required.
From the given pair of diagrams, the multiplication problem is: 2/2*4/6
But,
2/2*4/6 = 1 *2/3
= 2/3
So that;
2/2*4/6 = 2/3
Therefore the solution to the multiplication problem is 2/3.
Learn more about multiplication problem at https://brainly.com/question/30567417
#SPJ1
a regular hexagon is a six-sided figure with all sides equal and all six angles equal. find the length of the sides if the perimeter of the regular hexagon is 372in.how do you find the mean height
The mean height of the hexagon is 21.33 in.
The Mean of HexagonTo find the length of the sides of a regular hexagon with a perimeter of 372 inches, you must divide the perimeter by 6. This gives you a result of 62 inches for the length of each side. The other steps are:
To find the mean height of the hexagon, you must first calculate the area. To do this, you can use the formula for the area of a regular hexagon, which is A = (3√3)/2 × a², where a is the length of one side. Substituting the side length of 62 inches, the area of the hexagon is A = (3√3)/2 × 62² = 7943.3 sq. in. From this, the mean height of the hexagon can be calculated by dividing the area by the perimeter, which gives a mean height of h = 7943.3/372 = 21.33 in.Learn more about The Hexagon here:
https://brainly.com/question/29762907
#SPJ4
Select the equation that represents the graph of the line.
A. y= x - 1
B. y - 1/2x - 1
C. y = 1/2x +2
D. y= x +2
Answer:
C. y = 1/2x +2
yes i believe so,
given the function f(x)=-9x²-3, which of the following best represents the value of f(-2)?
F. 78
G. 321
H. 33
J. 39
Answer:
78
Step-by-step explanation:
How many permutations of the letters abcdefgh contain the strings ab, de, and gh?
5! permutation of the letters abcdefgh contains strings ab, de, and gh.
How to find Permutation?The number of permutations of 'n' objects taken 'r' at a time is determined by the following formula:
P(n,r)=n! / (n−r)!
We can also find permutation using the Selection and Formation Method:
For example:
1. Number of ways to arrange the letter SANOJ:
here number of alphabets are 5, and we have to arrange all the letter so using permutation formula:
P(5, 5 ) = 5! / (5-5)!
P(5, 5 ) = 5! : 0! = 1
without using the formula we can simply write 5! as the answer.
Here, we have given the word, " abcdefgh "
and we have to make those arrangements in which ab, de, and gh come together:
so now, we will count ab, de, and gh as a single word.
now, we will have 5 different words/alphabet:
1 → ab
2 → c
3 → de
4 → f
5 → gh
Number of ways to arrange all the 5 words/alphabet: 5!
Hence,
5! permutation of the letters abcdefgh contains strings ab, de, and gh.
Learn more about " Permutation " from here: https://brainly.com/question/1216161
#SPJ4
solve for z −cz+6z=tz+83
Answer: z=83/c - 7 + t
Step-by-step explanation:
Complete the following items. For multiple-choice items, write the letter of the correct response on your paper. For all other items, show or explain your work.Multiply x³ / x²-4 . 5x+10 / 10x.
a. 5x / 4
b. x² / 2(x-2)
c. x²(x+2) / 2(x²-4)
d. 5x³ / 10 x(x-2)
The correct answer is option b. x² / 2(x - 2). the simplified result of multiplying the given expressions x³ / (x² - 4) and (5x + 10) / (10x) is (5x³) / (2(x - 2)).
To multiply the given expressions, we can simplify and combine the terms.
The given expressions are:
Expression 1: x³ / (x² - 4)
Expression 2: (5x + 10) / (10x)
To multiply these expressions, we multiply the numerators together and the denominators together.
Numerator: x³ * (5x + 10) = 5x⁴ + 10x³
Denominator: (x² - 4) * (10x) = 10x(x² - 4)
Putting it together, the multiplication of the two expressions becomes:
(5x⁴ + 10x³) / (10x(x² - 4))
However, we can further simplify this expression by factoring and canceling out common factors.
First, let's factor the denominator:
10x(x² - 4) = 10x(x + 2)(x - 2)
Now, we can cancel out the common factors in the numerator and denominator:
(5x⁴ + 10x³) / (10x(x + 2)(x - 2)) = (5x³(x + 2)) / (2(x + 2)(x - 2))
Finally, we simplify the expression by canceling out the common factor of (x + 2):
(5x³) / (2(x - 2))
Therefore, the simplified result of multiplying the given expressions x³ / (x² - 4) and (5x + 10) / (10x) is:
(5x³) / (2(x - 2))
Therefore, the correct answer is option b. x² / 2(x - 2).
Learn more about expressions here
https://brainly.com/question/1859113
#SPJ11
Prime Factorization
36=
48=
Answer:
36=3×2×2×3
48=2×2×2×2×3
Explanation:
Step 1: Divide the given number by the smallest prime number.
36/3=12. (1)
48/2=24. (2)
Step 2: Again, divide the quotient by the smallest prime number.
12/2=6. (1)
24/2=12. (2)
Step 3: Repeat the process, until the quotient becomes 1.
6/2= 3. (1)
12/2=6 (2)
3/3=1 (1)
6/2=3 (2)
3/3=1. (2)
Step 4: Finally, multiply all the prime factors.
36=3×2×2×3
48=2×2×2×2×3
Answer:
36 = 2 × 2× 3 ×3
48 = 2 × 2× 2 × 2 ×3
Step-by-step explanation:
−6t−7=17
Who likes Damian Salvatore
Form vampire diaries
Answer:
ME! but that's not a real question on top right
Answer:
I love Damon so much
Step-by-step explanation:
Simplifying Polynomial Expressions
17p + 8p^3 - 4 - 5(p^3 -2)
Answer:
=3p 3+17p+6
Step-by-step explanation:
immigration lead to faster expansion
PLEASE HHURRRRRRY
The Lanier band is raising money for their annual trip. They are selling insulated cups for $25 each and have already made $1500. They need to make at least $10,000 to go on the trip. Determine the smallest number of cups they need to sell.
Answer:
The probably need to sell 340 more
Step-by-step explanation:
1500divided by25 is 60. So they have sold 60. 10,000 divided by 25 is 400, so they need to sell 400 cups to reach their goal.
which expression cannot be factored using real numbers?
x^3+1
x^6+8
x^8-2
x^8-1
The quadratic-like polynomial x⁶ + 8 has no real roots, that is, it has two complex roots. (Correct choice: B)
What polynomial cannot be factored using real numbers?
In this problem we must determine what polynomial has no real roots. From real algebra we remember that any polynomial of the form x²ⁿ + a², where a is a positive real number, has no real numbers. That is, the factor form of the polynomial is shown below:
(xⁿ + i a) · (xⁿ - i a)
In other words, any polynomial of the form x²ⁿ + a², a > 0, has two complex roots. Now, by direct comparison, we conclude that polynomial x⁶ + 8 has no real roots.
To learn more on polynomials: https://brainly.com/question/15465256
#SPJ1
On Robert’s shelf are 6 mystery books, 2 science fiction books, 3 adventure books, & 4 history books. Robert will randomly choose 1 book to read, not put it back and then grab another book to read. What is the probability that he chooses an adventure book and then a history book?
Answer:
2/35
Step-by-step explanation:
total of 15 books
P(Adv,Hist) = 3/15 · 4/14 = 1/5 · 2/7 = 2/35
what is the value of x? 5 60 30 marking brainliest and giving thanks to all!!!
this is 90 60 30 formula for example
90 meet 2x
30 meet x
and
60 meet x√3
so 90 meet 5
30 meet 5/2=2.5
and 60 meet 2.5√3
so the answer is 2.5
Answer:
2.5
Step-by-step explanation:
\(\sin 30\degree = \frac{x}{5}\\\therefore x = 5\sin 30\degree\\\therefore x = 5 \times \frac{1}{2}\\\therefore x = 2.5\)
Waldo Books needs to decide how many copies of a new hardcover release to purchase for its shelves. The store has assumed that demand will be 50, 100, 150, or 200 copies next month, and it needs to decide whether to order 50, 100, 150, or 200 books for this period. Each book costs Waldo $20 and can be sold for $30. Waldo can sell any unsold books back to the supplier for $4.
(a) Which option should Waldo choose if it uses the maximax criterion?
(b) Which option should Waldo choose if it uses the maximin criterion?
(c) Which option should Waldo choose if it uses the equally likely criterion?
(d) Which option should Waldo choose if it uses the criterion of realism with a = 0.7?
(e) Which option should Waldo choose if it uses the minimax regret criterion?
Answer:
(a) Maximax criterion: Order 200 books.
(b) Maximin criterion: Order 200 books.
(c) Equally likely criterion: Order 200 books.
(d) Criterion of realism with a = 0.7: Calculate the expected payoff based on the chosen value of a and select the corresponding option.
(e) Minimax regret criterion: Order 200 books.
Step-by-step explanation:
The maximax criterion involves selecting the option with the highest possible payoff. We will calculate the maximum payoff for each option and choose the one with the highest value.Payoff for ordering 50 books:
Revenue = 30 * 50 = $1500
Maximum payoff = $1500Payoff for ordering 100 books:
Revenue = 30 * 100 = $3000
Maximum payoff = $3000Payoff for ordering 150 books:
Revenue = 30 * 150 = $4500
Maximum payoff = $4500Payoff for ordering 200 books:
Revenue = 30 * 200 = $6000
Maximum payoff = $6000Based on the maximax criterion, Waldo should choose the option of ordering 200 books since it has the highest maximum payoff.(b) Maximin Criterion:
The maximin criterion involves selecting the option with the highest minimum payoff. We will calculate the minimum payoff for each option and choose the one with the highest value.Payoff for ordering 50 books:
Revenue = 30 * 50 - (20 * 50 - 4 * 50) = $900
Minimum payoff = $900Payoff for ordering 100 books:
Revenue = 30 * 100 - (20 * 100 - 4 * 100) = $1800
Minimum payoff = $1800Payoff for ordering 150 books:
Revenue = 30 * 150 - (20 * 150 - 4 * 150) = $2700
Minimum payoff = $2700Payoff for ordering 200 books:
Revenue = 30 * 200 - (20 * 200 - 4 * 200) = $3600
Minimum payoff = $3600Based on the maximin criterion, Waldo should choose the option of ordering 200 books since it has the highest minimum payoff.(c) Equally Likely Criterion:
The equally likely criterion assumes that each demand level is equally likely to occur. We will calculate the expected payoff for each option and choose the one with the highest value.Expected payoff for ordering 50 books:
Expected revenue = (30 * 50 + 4 * (50 - 50)) / 4 = $375
Expected payoff = $375Expected payoff for ordering 100 books:
Expected revenue = (30 * 100 + 4 * (50 - 100)) / 4 = $750
Expected payoff = $750Expected payoff for ordering 150 books:
Expected revenue = (30 * 150 + 4 * (50 - 150)) / 4 = $1125
Expected payoff = $1125Expected payoff for ordering 200 books:
Expected revenue = (30 * 200 + 4 * (50 - 200)) / 4 = $1500
Expected payoff = $1500Based on the equally likely criterion, Waldo should choose the option of ordering 200 books since it has the highest expected payoff.(d) Criterion of Realism with a = 0.7:
The criterion of realism involves assigning a weight (0 ≤ a ≤ 1) to the optimistic payoff and the remaining weight (1 - a) to the pessimistic payoff. We will calculate the expected payoff for each option using the given value of a and choose the one with the highest value.Expected payoff for ordering 50 books:
Expected revenue = a * (30 * 50) + (1 - a) * (30 * 50 - 20 * 50 + 4 * 50) = $450a
Expected payoff = $450aExpected payoff for ordering 100 books:
Expected revenue = a * (30 * 100) + (1 - a) * (30 * 100 - 20 * 100 + 4 * 100) = $900a
Expected payoff = $900aExpected payoff for ordering 150 books:
Expected revenue = a * (30 * 150) + (1 - a) * (30 * 150 - 20 * 150 + 4 * 150) = $1350a
Expected payoff = $1350aExpected payoff for ordering 200 books:
Expected revenue = a * (30 * 200) + (1 - a) * (30 * 200 - 20 * 200 + 4 * 200) = $1800a
Expected payoff = $1800aTo find the maximum expected payoff, we can compare the values of a * 450, a * 900, a * 1350, and a * 1800 for different values of a. The optimal value of a will determine the corresponding option.(e) Minimax Regret Criterion:
The minimax regret criterion involves calculating the regret for each option and selecting the one with the minimum regret. Regret represents the difference between the maximum possible payoff and the actual payoff.Regret for ordering 50 books:
Regret = 6000 - (30 * 50 - (20 * 50 - 4 * 50)) = $5250
Minimum regret = $5250Regret for ordering 100 books:
Regret = 6000 - (30 * 100 - (20 * 100 - 4 * 100)) = $4200
Minimum regret = $4200Regret for ordering 150 books:
Regret = 6000 - (30 * 150 - (20 * 150 - 4 * 150)) = $3150
Minimum regret = $3150Regret for ordering 200 books:
Regret = 6000 - (30 * 200 - (20 * 200 - 4 * 200)) = $2100
Minimum regret = $2100Based on the minimax regret criterion, Waldo should choose the option of ordering 200 books since it has the minimum regret.
Waldo Books is facing a decision theory problem. By different criteria, the decision to order books can change. By maximax, Waldo should order 200 books, by maximin, 50 books. By equally likely, realism, and minimax regret criteria, computations considering payoffs, optimism levels, and potential regrets are needed.
Explanation:This is a "decision theory problem" in the field of business and economics. Let's calculate the profit from each option. Profit will be $10 for each book sold (revenue of $30 minus cost of $20) and a loss of $16 for each book not sold (cost of $20 minus resell value of $4).
Maximax criterion is when Waldo selects the alternative with the highest possible outcome. In this case, Waldo should order 200 books as he could make the most profit if demand is also at 200. Maximin criterion is when Waldo chooses the option with the best worst-case scenario. Here, Waldo should order 50 books as this would minimize the potential for unsold books. For the equally likely criterion, each level of demand is assumed to be equally probable, so the average profit for each order size should be calculated. The number with the highest average profit should be chosen. In the criterion of realism (also considered a 'compromise' criterion), there's a coefficient of optimism (a value between 0 and 1) that measures the decision-maker's optimism. Here, 'a' is 0.7. The larger the 'a', the more optimistic the decision-maker is. We calculate [a*(max payoff)+(1-a)*(min payoff)] for each alternative and pick the largest. The minimax regret criterion is about minimizing the maximum regret. Regret is the difference between the payoff from the best decision and all other decision payoffs. The decision with the smallest maximum 'regret' is chosen. Learn more about Decision Theory here:
https://brainly.com/question/33656361
#SPJ2
Gabriella has a smart phone data plan that costs $25 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Gabriella have to pay in a month where she used 5 GB over the limit? How much would Gabriella have to pay in a month where she used went over by x x GB?
2 - 3x = 5
How can I solve it?
Answer:
1
Step-by-step explanation:
2-3x=5
-2 -2
-3x=3
-3x/-3=3/-3
x=-1
A block of cheese has a volume of 189 cm3 and a mass of 150 g.
What is the density of the cheese in g/cm3 rounded to 2 decimal places?
plssss answerrrrrr
Answer:
0.79 g/cm3
Step-by-step explanation:
Divide the mass by the volume
Answer:
0.79g/cm3
Step-by-step explanation:
density = mass
volume
= 150g
189cm3
= 0.793 g/cm3
round off- 2 decimal places
=0.79 g/cm3
Find the union, AUB, for of the following pair of sets. Enter "DNE" for the empty set.A = (-∞, - 5], B = [5, ∞)
Given
Two sets A = (-∞, - 5], B = [5, ∞)
Find
union, AUB
Explanation
Union of two sets A and B is the set of all elements that are present in A or in B
so , here A = (-∞, - 5], B = [5, ∞)
then union of set A and B is given by
\(A\cup B=(-\infty,-5]\cup[5,\infty)\)Final Answer
Therefore., the union of A and B is (-∞, - 5] U [5, ∞)
I sell cookies for $3 and muffins for $7. Yesterday, I made $129. I sold a total of 27 items. How many of each did I sell? CAN SOMEONE ANSWER IT PLZ
9514 1404 393
Answer:
12 muffins15 cookiesStep-by-step explanation:
Often, you can work these problems in your head.
If you sold all cookies, your revenue would have been 27×3 = 81. It was 129-81 = 48 more than that. Each muffin generates 4 more revenue than a cookie dies, so there must have been 48/4 = 12 muffins. The 27-12 = 15 were cookies.
You sold 15 cookies and 12 muffins.
__
If you let a variable represent the most expensive item (m for muffins), then you can write an equation for the revenue. You may recognize that some of the steps in the solution match the "verbal" solution above.
3(27 -m) +7m = 129
4m +81 = 129
4m = 129 -81 = 48
m = 48/4 = 12 . . . muffins
27-12 = 15 . . . cookies
Please help, it’s not college math!!
Answer: The first answer choice
AKA: y = -1.74x + 46.6
Step-by-step explanation:
65 m
16 m
b
What is the length of the missing leg?
Answer:3,969\(^{2}\)(squared) or 63
Step-by-step explanation:
First you must plug the answers into the equation A\(^{2}\) + B\(^{2}\)=C\(^{2}\)
Then you square the numbers. example: 2\(^{2}\)=2 x 2=4
After that you subtract from both sides of the equation to get the variable by itself. Example: 4+b\(^{2}\)=10
-4 -4
b\(^{2}\)=10
After that you square both sides or you could say answer\(^{2}\)