The correct option is c. The total is calculated incorrectly.
When making a deposit, it is crucial that the total amount being deposited is calculated correctly on the deposit ticket. This total amount should match the sum of the cash and checks being deposited. If there is a discrepancy between the subtotal of the individual amounts and the total, the deposit ticket will not be accepted because it does not accurately reflect the amount of money being handled.
Here's the logic behind why the other options are not the primary issue:
a. The sub total is calculated incorrectly: While this is a potential error, the primary concern for the teller would be the total amount being deposited. The subtotal informs the depositor and the bank of the breakdown of the deposit, but the total is what ultimately needs to be correct for the deposit to be processed accurately.
b. Alissa forgot to sign the deposit ticket for less cash back: While a signature is important for verification purposes, especially if cash back is requested, the absence of a signature would typically result in the teller asking for a signature rather than outright rejection of the deposit ticket. The calculation of the total deposit amount is a more fundamental error that must be corrected before the deposit can be accepted.
d. Alissa forgot to date the deposit ticket: The date on a deposit ticket is important for record-keeping purposes. However, forgetting to date the deposit ticket is usually a minor issue that can be resolved quickly at the teller's window. It would not typically prevent the deposit from being accepted, assuming the total deposit amount is correct.
In summary, the teller's refusal to accept the deposit ticket in its current form most likely stems from an incorrect total calculation, as this directly affects the accuracy of the deposit transaction. Alissa will need to ensure that the total on the deposit ticket correctly reflects the sum of the cash and checks she is depositing. Once the total is corrected, the deposit ticket should be accepted by the teller.
23 lb. 14 oz. − 8 lb. 1 oz.
P.S NO WORK NEEDED.
Answer:
15.8125 lb
Step-by-step explanation:
Answer:
15 lb. 13oz.
Step-by-step explanation:
no need
a store has apples on sale for $3.00 on two pounds . how many pounds of apples can you buy for $9 if an apple is approximately 5 ounces how many apples can you buy for $9 explain your reasoning
Answer: You can get 6 pounds of apples and approximately 19 apples.
Step-by-step explanation:
There are 16 ounces per pound so 6 pounds is 96 ounces
96/5 = 19.2
You can buy 6 pounds of apples for 9, which is approximately 19 apples.
1. First, let's find out how much one pound of apples costs. Since two pounds cost $3.00, one pound would cost half of that, which is $1.50.
2. Now, if one pound costs $1.50, we can find out how many pounds of apples you can buy for $9 by dividing $9 by the cost per pound: [tex]\( \frac{9}{1.50} = 6 \)[/tex]. So, you can buy 6 pounds of apples for $9.
3. Since 1 pound equals 16 ounces, 6 pounds equal [tex]\( 6 \times 16 = 96 \)[/tex]ounces.
4. If one apple is approximately 5 ounces, then the number of apples you can buy for 96 ounces is [tex]\( \frac{96}{5} \).[/tex]
5. Performing the division, [tex]\( \frac{96}{5} = 19.2 \)[/tex]. Since you can't buy a fraction of an apple, you'd round down to the nearest whole number.
6. So, you can buy approximately 19 apples for $9.
Here's the calculation step by step:
1. Cost per pound: [tex]\( \frac{3.00}{2} = 1.50 \)[/tex] dollars per pound.
2. Pounds you can buy for $9: [tex]\( \frac{9}{1.50} = 6 \)[/tex] pounds.
3. Total ounces: [tex]\( 6 \times 16 = 96 \)[/tex] ounces.
4. Apples you can buy: [tex]\( \frac{96}{5} = 19.2 \)[/tex](rounded down to 19 apples).
Solve for x.
Enter your answer in the box.
An equilateral triangle A B C. Side B C is the base. Sides A B, B C, and A C are equal. Sides A B, B C, and A C are labeled with single tick marks. Angle A is labeled as left parenthesis 2 y right parenthesis degrees, angle B is labeled left parenthesis 25 x minus 15 right parenthesis degrees.
Answer:
3
Step-by-step explanation:
The junior class at Central High School has 182 students. The debate club at the school has 14 members who are in the junior class. How many students in the junior class are not on the debate team?
a.13
b.42
c.168
d.178
Answer:
13
Step-by-step explanation:
I believe you would take the number of students and divide by the number of members
[CALCULUS] [HELP PLEASE]
7. The edge of a cube was found to have a length of 50 cm with a possible error in measurement of 0.1 cm. Based on the measurement, you determine that the volume is 125,000 cm^3. Use tangent line approximation to estimate the percentage error in volume.
0.6%
0.9%
1.2%
1.5%
1.8%
A point on a damped spring has motion given by s(t)=2e^(-1.5t) s in(2(pi)t), where s is measured in centimeters and t is measured in seconds. Choose which of these is the graph for the velocity function for 0 < or equal to t < or equal to 4
Answer:
(7)
error percentage is 0.6%
(8)
Graph-C
Step-by-step explanation:
(7)
we are given cube
Let's assume edge of cube =x
so, volume of cube will be
[tex]V(x)=x^3[/tex]
we are given
V=125000
so, we can find 'x'
[tex]125000=x^3[/tex]
[tex]x=50[/tex]
So,
[tex]a=50[/tex]
now, we can use linear approximation formula
[tex]L(x)=V(a)+(x-a)V'(a)[/tex]
[tex]L(x)=V(a)+(\Delta x)V'(a)[/tex]
we have
[tex]\Delta x=0.1[/tex]
we can plug a=50
[tex]L(x)=V(50)+(0.1)V'(50)[/tex]
[tex]V(x)=x^3[/tex]
we can find derivative
[tex]V'(x)=3x^2[/tex]
now, we can plug x=50
[tex]V'(50)=3(50)^2[/tex]
[tex]V'(50)=7500[/tex]
now, we can plug these values
and we get
[tex]L(x)=V(50)+(0.1)\times 7500[/tex]
[tex]L(x)=V(50)+750[/tex]
[tex]L(x)-V(50)=750[/tex]
so, error is
[tex]error=750[/tex]
now, we can find percentage error
Percentage is
[tex]=\frac{750}{125000}\times 100[/tex]
=0.6%
so, error percentage is 0.6%
(8)
we are given
[tex]s(t)=2e^{-1.5t}sin(2\pi t)[/tex]
We will find derivative
To get velocity , we will find derivative
[tex]s'(t)=\frac{d}{dt}\left(2e^{-1.5t}\sin \left(2\pi t\right)\right)[/tex]
we can use product rule
and we get
[tex]s'(t)=-3e^{-1.5t}sin(2\pi t)+4\pi e^{-1.5t} sin(2\pi t)[/tex]
so, we get velocity equation as
[tex]v(t)=-3e^{-1.5t}sin(2\pi t)+4\pi e^{-1.5t} sin(2\pi t)[/tex]
now, we can draw graph
we can see that firstly , we get maxima and then minima
so, our graph would be
graph-C........Answer
Final answer:
To estimate the percentage error in volume, use the tangent line approximation and find the derivative of the volume function. Then divide the change in volume by the actual volume and multiply by 100%.
Explanation:
To estimate the percentage error in volume, we need to find the derivative of the volume function with respect to the length of one edge of the cube. The volume of a cube is given by V = a^3, where a is the length of one edge of the cube. So, the volume function is V = a^3.
Using the tangent line approximation, we can approximate the change in volume as the derivative of the volume function multiplied by the change in length of one edge of the cube. The derivative of the volume function is dV/da = 3a^2. The change in length of one edge is ±0.1 cm. So, the change in volume is approximately dV = (3a^2) * (±0.1 cm).
To find the percentage error in volume, we divide the change in volume by the actual volume and multiply by 100%. The actual volume is 125,000 cm^3. So, the percentage error in volume is approximately [(3a^2) * (±0.1 cm)] / (125,000 cm^3) * 100%.
what is the area of the piece of red paper after the hole for the photograph has been cut
Answer:
47 squared units.
Step-by-step explanation:
evaluate the expression for a=3 and b=10 70/b +5a -2b
Answer:
2
Step-by-step explanation:
evaluate from left to right, substituting the given values into the expression
= [tex]\frac{70}{10}[/tex] + (5 × 3) - (2 × 10)
= 7 + 15 - 20
= 22 - 20
= 2
Substitute the values of a and b to the expression:
[tex]a=3,\ b=10\\\\\dfrac{70}{b}+5a-2b=\dfrac{70}{10}+(5)(3)-(2)(10)\\\\=7+15-20=22-20=\boxed2[/tex]
which equation in slope-intercept from represents the line that passes through (-1, 5) and (5, 8)
y= 1/2 x -11
y=-1/2 x +11/2
y= 1/2 x +11/2
y= -1/2 x -11/2
Answer:
y= 1/2 x +11/2
Step-by-step explanation:
To find the slope
m = (y2-y1)/(x2-x1)
= (8-5)/(5--1)
= 3/(5+1)
= 3/6
= 1/2
Using point slope form of a line
y-y1 = m(x-x1)
y-5 = 1/2(x--1)
y-5 = 1/2(x+1)
Distribute
y-5 = 1/2x +1/2
Add 5 to each side
y = 1/2x + 1/2 + 5
Change 5 to 10/2
y = 1/2x + 1/2 + 10/2
y = 1/2x + 11/2
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)
To find the slope, you can use the slope formula and plug in the two points:
(-1,5) = (x₁ , y₁)
(5,8) = (x₂ , y₂)
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{8-5}{5-(-1)}[/tex]
[tex]m=\frac{8-5}{5+1} =\frac{3}{6} =\frac{1}{2}[/tex]
y = 1/2x + b
To find "b", plug in either of the points into the equation:
(5,8)
y = 1/2x + b
8 = 1/2(5) + b
8 = 5/2 + b Subtract 5/2 on both sides
8 - 5/2 = b Make the denominators the same in order to subtract them
16/2 - 5/2 = b
11/2 = b
[tex]y = \frac{1}{2}x+\frac{11}{2}[/tex]
The 3rd option is your answer
Help with #27. Answer choices are
A. 2
B.5
C.3
D.4
Answer:
C
Step-by-step explanation:
Since GK bisects ∠FGH then ∠FGK = ∠KGH, hence
6v - 2 = 4v + 4 ( subtract 4v from both sides )
2v - 2 = 4 ( add 2 to both sides )
2v = 6 ( divide both sides by 2 )
v = 3 → C
Which two values of x are roots of the polynomial below?
Answers: choice A, choice C
Compute the discriminant (use a = 1, b = 5, c = 11)
D = b^2 - 4ac
D = 5^2 - 4*1*11
D = 25 - 44
D = -19
The discriminant is negative, so the two solutions are complex or imaginary. The -19 will be under the root as choice A and choice C show
Find the range of f(x) =-x+4 for the domain {-3, -2, -1, 1}
Answer:
{3, 5, 6, 7 }
Step-by-step explanation:
to find the range of f(x) substitute the given values of x from the domain into f(x)
f(- 3) = - (- 3) + 4 = 3 + 4 = 7
f(- 2) = - (- 2) + 4 = 2 + 4 = 6
f(- 1) = - (- 1) + 4 = 1 + 4 = 5
f(1) = - 1 + 4 = 3
range y ∈ {3, 5, 6 , 7 }
Mantago wants to borrow $20,000 to buy a used car. He examined his budget and decides that he can afford a payment of $425 a month. If his bank offers him an APR of 7.5%, how long should he borrow the money so he can afford his monthly payment?
3.5 years
4.66 years
4.5 years
4 years
Answer:
4.66 years
Step-by-step explanation:
Let us assume that it will take 't' years for him to repay the money that he would borrow.
We can use monthly cashflow formula:
[tex]C=Pr\frac{(1+r)^{12t}}{(1+r)^{12t}-1}[/tex]
Here, we have been given:
Monthly cashflow C=425
Loan amount P=20000
Interest rate AMR = 7.5%. Therefore, we have [tex]r=\frac{0.075}{12}[/tex]
Upon substituting these values in the formula, we get:
[tex]425=20000\cdot \frac{0.075}{12} \frac{(1+\frac{0.075}{12})^{12t}}{(1+\frac{0.075}{12})^{12t}-1}[/tex]
Upon simplifying, we get:
[tex]425=125 \frac{(1+0.00625)^{12t}}{(1+0.00625)^{12t}-1}[/tex]
[tex]425=125 \frac{(1.00625)^{12t}}{(1.00625)^{12t}-1}[/tex]
Upon solving this equation using a calculator, we get:
[tex]t=4.66[/tex]
Therefore, correct answer is 4.66 years. That is, second choice from the given options.
11 chocolate bars cost 10 dollars
I'm not sure what you're trying to ask, but if you're trying to find the individual cost;
Solution: Cost of 1 candy bar is $0.91
Explanation: The quotient of 10 and 11 is 0.90909090909, which rounds into 0.91
Hope This Helps!!!
-Austint1414
One chocolate bar costs approximately 0.91 dollars.
How much does one chocolate bar cost?Let x be the cost of one chocolate bar.
Given that 11 chocolate bars cost 10 dollars, we set up a proportion:
11 bars / 10 dollars = 1 bar / x dollars
To get cost of one chocolate bar (x), we cross-multiply:
11 * x = 10 * 1
11x = 10
x = 10 / 11
x ≈ 0.91 dollars.
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Full question:
11 chocolate bars cost 10 dollars. How much does 1 chocolate bars cost?
ANSWER THIS PLEEEEEEEEEEEEEEEEEEAAAAAAAAAASSSSSSSSSSSSEEEEEEEEEEE. I BEEEEEEEEEEEEEEEEEEEEGGGGGGGGGG OF YOOOOOOOOOOOOOOUUUUUUUUUWhat is the slope-intercept form of the function that contains the points (6, 2) and (4, 8)?
Answer:
y = -3x+20
Step-by-step explanation:
First we will write the equation in point-slope form,
[tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point on the line.
We must find the slope. The formula for slope is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using our two points, we have
m = (8-2)/(4-6) = 6/-2 = -3
We will use the first point and this slope:
y-2 = -3(x-6)
Using the distributive property, we have
y-2 = -3(x)-3(-6)
y - 2 = -3x--18
y - 2 = -3x+18
Add 2 to each side:
y-2+2 = -3x+18+2
y = -3x+20
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. A(n) = 5 + (n-1)(1/6)
[tex]A(n)=5+(n-1)\left(\dfrac{1}{6}\right)=5+\dfrac{1}{6}n-\dfrac{1}{6}=\dfrac{1}{6}n+\dfrac{30}{6}-\dfrac{1}{6}\\\\A(n)=\dfrac{n+29}{3}\\\\\text{Put n = 1, n = 4 and n = 10 to the formula:}\\\\A(1)=\dfrac{1+29}{3}=\dfrac{30}{3}=10\\\\A(4)=\dfrac{4+29}{3}=\dfrac{33}{3}=11\\\\A(10)=\dfrac{10+29}{3}=\dfrac{39}{3}=13[/tex]
Arugula is 6 feet and 10 feet long. what is the ratio of length to width
Answer:
5 : 3
Step-by-step explanation:
the ratio of length : width
= 10 : 6 ← divide both parts of the ratio by 2
= 5 : 3 ← in simplest form
HELP ME WITH THIS AND ILL GIVE YOU BRAINLIST!!!! <3
Answer:
9+8 = 8+991+0 = 91.Step-by-step explanation:
Given expression 9+8.
We need to rewrite it using Commutative Property.
Note: According to Commutative Property of Addition
a + b = b + a
Therefore,
9+8 = 8+9We just need to swap the positions of numbers.
Second expression : 91+0
We need to rewrite it using Identity.
According to Identity property of addition
a+0 = a.
When we add 0 to any number it gives same number.
Therefore,
91+0 = 91.Please answer this question
Answer:
The average rate is 35 miles per hour
Step-by-step explanation:
To get from town A to town B takes 3 hours. The distance is 100 miles
To get from town B to town c takes 1 hours. The distance is 40 miles
To find the average rate , we need to find the total distance and divide by the total time
Total distance = 100 + 40 = 140 miles
Total time = 3 hrs + 1 hr = 4 hours
distance = rate * time
140 miles = rate * 4 hours
140/4 = rate
35 = rate
The average rate is 35 miles per hour
What shape is a four-sided polygon with 4 right angles and at least 2 equal sides?
1. rectangle
2. diamond
3. square
4. triangle
wich one is correct?
Answer:
the answer is rectangle
Step-by-step explanation:
What is the sign of − 4 a b −4ab when a > 0 a>0 and b < 0 b<0?
Answer:
The sign is positive.
Step-by-step explanation:
a > 0 and b < 0
So, a·b < 0
⇒ -4·a·b > 0
⇒ -4·a·b - 4·a·b > 0
Hence, the sign will be positive
Answer:
the answer is on top of me
Step-by-step explanation:
my mom is angry at me and im bored
what are the first 4 items of the arithmetic sequence in the graph
Answer:
i dont know
Step-by-step explanation:
One grain of sand approximately weighs 7 * 10^{-5} g. How many grains of sand are there in 6300 kg of sand? Give your answer in standard form.
Answer:
Proportion states that the two ratio or fractions are equal.
Given the statement: One grain of sand approximately weighs 7 * 10^{-5} g.
To find how many grains of sand are there in 6300 kg of sand.
Let x be the number of grains of sand in 6300 kg of sand.
Using conversion :
1 kg = 1000 g
6300 kg = 6300000 g
Then, by using proportion method, we have;
[tex]\frac{1}{7\times 10^{-5}}= \frac{x}{6300000}[/tex]
[tex]\frac{10^5}{7} = \frac{x}{6300000}[/tex]
By cross multiply we get;
[tex]6300000 \times 10^5 = 7x[/tex]
or
[tex]63 \times 10^5 \times 10^5 = 7x[/tex]
[tex]63 \times 10^{5+5} = 7x[/tex] [using [tex]x^a \cdot x^b = x^{a+b}[/tex]]
[tex]63 \times 10^{10} = 7x[/tex]
Divide both sides by 7 we get;
[tex]x = \frac{63 \times 10^{10}}{7} = 9 \times 10^{10}[/tex]
Standard form is a way of of writing down very large or very small numbers easily.
Therefore, [tex]9 \times 10^{10}[/tex] grains of sand are there in 6300 kg of sand.
If triangle ABC is similar WXY write a proportionality statement for the ratio of the sides of the triangle
There are many ways to answer this. Here is one answer shown below
AB/WX = BC/XY
On the left side is the ratio of AB over WX. These two sides are the bottom horizontal portions of the triangles. This is a visual indication that they correspond to one another. More concrete proof of this is that AB and WX are the first two letters of the sequences ABC and WXY respectively. The order is very important to help establish pairs like this.
On the right side of that equation above, we have BC and XY as the diagonal sides on the right part of each triangle. They are the last two letters of ABC and WXY respectively, which is a non-visual way to prove these two sides correspond.
It might help to line up ABC over top WXY so you can pick out the corresponding sides. I show this in the attached image below.
Answer: There are many ways to answer this.
Step-by-step explanation:
On the left side is the ratio of AB over WX. These two sides are the bottom horizontal portions of the triangles. This is a visual indication that they correspond to one another. More concrete proof of this is that AB and WX are the first two letters of the sequences ABC and WXY respectively. The order is very important to help establish pairs like this.
On the right side of that equation above, we have BC and XY as the diagonal sides on the right part of each triangle. They are the last two letters of ABC and WXY respectively, which is a non-visual way to prove these two sides correspond.
Write the fact family formed by these numbers 3 9 12
Answer:
The family formed by these numbers is 3x where x is any integer number.
Step-by-step explanation:
We have been given 3 9 12
We can see that given numbers are multiple of 3 so, we can say that the given numbers are from the family of 3x
Where x is any integer number when multiplied by 3 will give the multiple of 3.
bring the fraction: 8/3xy^ 2 to a denominator of 15x^2y^2
If u do dis i really appreciate it!!!!!!!!! thx
Answer:
40x/(15x²y²)
Step-by-step explanation:
8/(3xy²) Multiply by 5/5
= 40/(15xy²) Multiply by x/x
= 40x/(15x²y²)
Identify the constant of proportionality in the equation. 3y = 15x
Answer:
5
Step-by-step explanation:
For direct variation y=kx, where k is the constant of proportionality
We need to get the equation in this form
3y = 15x
Divide each side by 3
3y/3 =15x/3
y = 5x
The constant is 5
The graph of g(x) is the graph of f(x)=|x| translated 3 units to the left. What is the equation of g(x)?
Answer:
g(x) = |x + 3|
Step-by-step explanation:
The x is replaced by x + 3
The equation of g(x) is | x + 3 | when g ( x ) is translated 3 units to the left
How does the transformation of a function happen?
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs)
Horizontal shift (also called phase shift):
Left shift by c units: y = f( x + c ) (same output, but c units earlier) Right shift by c units: y = f ( x - c ) (same output, but c units late)Given data ,
The function f(x) = | x | , this function is needed to be translated 3 units to the right. Therefore, the new function can be written as ,
g ( x ) = f ( x + 3 )
= | x + 3 |
Hence, the equation of g(x) is | x + 3 |.
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Twenty-five subtracted from one-half a number is 10.What is the number?
Final answer:
The number in question is 70, found by solving the equation 1/2 * x - 25 = 10.
Explanation:
To find a number where half of that number, subtracted by 25, equals 10. We can set up an equation to represent this: 1/2 * x - 25 = 10, where 'x' is the number we are trying to find. To solve for 'x', we first add 25 to both sides of the equation, which gives us 1/2 * x = 35. Then, to isolate 'x', we multiply both sides by 2, resulting in x = 70. Therefore, the number is 70.
Final answer:
To find the number, isolate the variable by performing inverse operations. The number is 70.
Explanation:
To find the number, we need to translate the given information into an equation. Let's assume the number is x. The equation can be written as:
1/2x - 25 = 10.
To isolate the variable x, we first add 25 to both sides of the equation:
1/2x - 25 + 25 = 10 + 25.
This simplifies to 1/2x = 35.
Next, we multiply both sides of the equation by 2 to undo the division by
1/2: 2 × (1/2x) = 2 × 35.
The 1/2 cancels out on the left side, leaving us with x = 70.
Therefore, the number is 70.
Solve for a. a/g - f = D
Answer:
a = (D+f) * g
Step-by-step explanation:
We want to isolate a
a/g -f =D
Add f to each side
a/g -f+f = D+f
a/g = D+f
Multiply each side by g
a/g *g = (D+f) * g
a = (D+f) * g
[tex]\dfrac{a}{g}-f=D\qquad\text{add f to both sides}\\\\\dfrac{a}{g}=D+f\qquad\text{multiply both sides by }\ g\neq0\\\\\boxed{a=g(D+f)}\qquad\text{use distributive property}\\\\\boxed{a=Dg+fg}[/tex]
a jar contains 10 marbles six marbles are red and four marbles are blue if two marbles are chosen one at a time with replacement what is the probability that both marbles will be red
Answer:
30%
Step-by-step explanation:
there is a 60% chance of getting a red marble each time. You need to choose a ball twice. 60/2=30. therefore there is a 30% chance of getting two reds.
Final answer:
To find the probability of drawing two red marbles with replacement from a jar of six red and four blue marbles, we multiply the probability of drawing a red marble (3/5) by itself, resulting in 9/25.
Explanation:
The question asks for the probability that both marbles will be red when two marbles are chosen one at a time with replacement from a jar containing six red marbles and four blue marbles.
To find this, we calculate the probability of drawing a red marble, and since we replace the marble each time, this probability does not change with each draw. With six red marbles out of a total of 10, the probability of drawing a red marble on the first draw is 6/10 or 3/5. Since we replace the marble after each draw, the probability remains the same for the second draw.
Therefore, the probability of drawing two red marbles in a row is (3/5) * (3/5), which is 9/25.