Answer:
i=14
Step-by-step explanation:
i+13=27
i+13-13=27-13
i=14
3. Which of the following is an example of overdraft protection?
A. Bank pays you interest on money in your savings account
B. Bank collects additional fees when you bounce a check
OC. ATM machine provides you with cash
D. Bank charges a large fee for bouncing a check
PLEASE HELP 4 $
Answer:
D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.
Step-by-step explanation:
Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.
Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.
Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.
Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.
What is the answer ? A. B. C. or D?
By definition, a Right triangle is a triangle that has an angle that measures 90 degrees (which also called "Right angle").
For this case, you can identify that the triangle given in the exercise is a Right triangle.
To find the measure of the missing angle, you need to use Arccosine function, which is the inverse of the cosine function:
\(\alpha=\cos ^{-1}(\frac{a}{h})\)Where "α (alpha)" is the angle you must find, "a" is the adjacent side and "h" is the hypotenuse.
You can set up that, for this case:
\(\begin{gathered} a=11 \\ h=23 \end{gathered}\)Then, substituting values and evaluating, you get that the measure of the angle is:
\(\begin{gathered} \alpha=\cos ^{-1}(\frac{11}{23}) \\ \alpha=61.42\degree \end{gathered}\)Rounding the answer to nearest whole degree, you get:
\(\alpha\approx61\degree\)The answer is: Option C.
A married couple would like to examine the potential of using their home equity to borrow funds in order to remodel their kitchen at a cost of $17,000. The couple purchased the home 3 years ago for its market value of $135,000. The interest rate on their 30-year fixed-rate mortgage is 4.25% and they were able to put down a 5% down payment towards the purchase. The market value of the home has grown at 2.5% per year and the current balance owed on the mortgage is $121,478. If the local Credit Union is offering to lend the couple up to 80% of their home equity in the form of a home equity loan to remodel their kitchen, will they be able to borrow the money necessary to complete the project this third year? Please explain how you calculated the answer.
Only afford a home with a market value of about $375,000, and she would require a down payment of $75,000 to do so.
First, we have to ascertain how much Kelly can comfortably afford to pay for her mortgage each month. Her income, expenses, and other financial commitments will determine this. Her monthly mortgage payment should not be more than 28% of her total monthly income, on average.
The loan is interest rate is the next thing we need to think about. Kelly will have a constant monthly payment for the duration of the loan thanks to a 30-year fixed rate loan at the current market rate of 4.25%.
With a 20% down payment and a loan with a 4.25% interest rate, we could be calculate the maximum purchase price to be roughly $375,000 using a mortgage calculator.
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Line plot titled, Length of Hyacinth Bulbs. The line is labeled, Length in inches. There is a number line from 6 to 10 partitioned into thirds. There is one mark above six and one-third. There are two marks above six and two-thirds. There is one mark above seven and one-third. There are three marks above seven and two-thirds. There is one mark above eight and one-third. There is one mark above eight and two-thirds. There are two marks above nine and one-third. There is one mark above 10.
What is the difference in length between the longest and shortest bulb?
4 inches
three and two-thirds inches
three and one-third inches
3 inches
The difference in length between the longest and shortest bulb is given as follows:
3 and 2/3.
How to obtain the difference in length?The line plot shows the number of times that each observation appears in the data-set.
The shortest bulb has the height given as follows:
6 and 1/3 = 6.33 inches.
The longest bulb has the height given as follows:
10.
Hence the difference is given as follows:
10 - 6.33 = 3.67 = 3 and 2/3.
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you are making playdough that calls for 1 cup of flour and 1/3 cup of salt.you start pouring and realize you only have 75 cups of flower how much salt should you use
Permutations and Combinations : wake up cereal comes in 2 types, crispy and crunchy. If a researcher has 10 boxes of each, how many ways can he select three boxes of each for a quality control test?
Answer:
I'm pretty sure theres 11 ways
find the missing number in this proportion.
\( \frac{48}{80} = \frac{6}{?} \)
Solve for x: 3 < x + 3 < 6
6 < x < 9
6 > x > 9
0 < x < 3
0 > x > 3
Answer:
C. 0 < x < 3
Step-by-step explanation:
3<x+3<6
3+−3<x+3+−3<6+−3(Add -3 to all parts)
0<x<3
I hope this helps
Help pls part b is how many batches of jam can the farmer make
The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)
To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.
Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".
Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,
=> 16 = 2 1/2 + 2 1/4b
Hence the correct option is (b).
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A conveyor belt at a recycling center is 294 feet long. The belt moves 7 feet in 6 seconds. A sorter calculates that it
takes 343 seconds for an object to travel the length of the belt. He places his plastic water bottle at the start of the belt so he can tie
his shoe. He walks to the end of the belt before 343 seconds pass. His bottle is already in the shredder. How many seconds does it
take the water bottle to travel the length of the belt? What is the sorter's error?
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
What lengths are examples of?When anything is referred to as being "long," it refers to its overall length. In other words, it is the larger of the third or upper two dimensions of a geometric object. An example of a shape with two dimensions is a rectangle.
To find out how many seconds it takes for the water bottle to travel the length of the belt, we can use the equation:
distance = rate x time
We know the distance (294 feet) and the rate (7 feet per 6 seconds). Let's solve for time:
294 feet = (7 feet/6 seconds) x time
294 feet x 6 seconds = 7 feet x time
1764 seconds = 7 feet x time
time = 1764 seconds / 7 feet
time = 252 seconds
So it takes 252 seconds for the water bottle to travel the length of the belt.
Now let's calculate the sorter's error:
343 seconds - 252 seconds = 91 seconds
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
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Solve this system of equations byusing the elimination method.-3x + 8y = 43x – 2y = 8( [?]-==
Given:
The system of eqations is:
-3 x + 8y = 4
3 x - 2y =8
Reuired:
To find the solutions of x and y in the form of ordered pairs.
Explanation:
The system of equations is:
-3 x + 8y = 4 .......(1)
3 x - 2y =8 .........(2)
To eliminatet x add both equation (1) and (2).
\(\begin{gathered} \left(-3x+3x\right)+(8y-2y)=(4+8) \\ 6y=12 \\ y=\frac{12}{6} \\ y=2 \end{gathered}\)Now substitute the value of y in equation (1) and get the value of x.
\(\begin{gathered} -3x+8(2)=4 \\ -3x+16=4 \\ -3x=4-16 \\ -3x=-12 \\ 3x=12 \\ x=\frac{12}{3} \\ x=4 \end{gathered}\)Final Answer:
Thus the values of x and y in the form of ordered pair is (4,).
Diane, Sam, and Boris served a total of 54 orders Monday at the school cafeteria. Diane served 6 fewer orders than Sam. Boris served 2 times as
many orders as Sam. How many orders did they each serve?
Number of orders Diane served:
Number of orders Sam served:
Number of orders Boris served:
Answer:
Let's denote:
- The number of orders Diane served as `D`
- The number of orders Sam served as `S`
- The number of orders Boris served as `B`
From the problem, we know:
1. `D + S + B = 54` (the total number of orders they served)
2. `D = S - 6` (Diane served 6 fewer orders than Sam)
3. `B = 2S` (Boris served 2 times as many orders as Sam)
We can substitute equations 2 and 3 into equation 1 to solve for the variables:
Substitute `D` and `B` in equation 1:
`(S - 6) + S + 2S = 54`
Combine like terms:
`4S - 6 = 54`
Add 6 to both sides:
`4S = 60`
Divide by 4:
`S = 15`
Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:
`D = S - 6 = 15 - 6 = 9`
`B = 2S = 2 * 15 = 30`
So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.
One-sixth of the fourth graders and one-third of the fifth graders miss school on Friday. The absentee sheet for Friday shows the names of 8 fourth graders and 14 fifth graders. How many fourth and fifth graders are enrolled in the school?
The number of fourth graders enrolled in the school is 48.
The number of fifth graders enrolled in the school is 42.
What is division?Division is the process of determining the quotient of a number by grouping a number into equal groups using another number.
How many fourth and fifth graders are enrolled in the school?Number of fourth graders = 8 ÷ 1/6
8 x 6 = 48
Number of fifth graders = 14 ÷ 1/3
14 x 3 = 42
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The coordinates of the point V are (3,-10) and the coordinates of point W are (3,-3). What is the distance, in units, between the point V and point W?
Answer:
I
Step-by-step explanation:
werwewr
WILL GIVE BRAINLIEST
What is the 25th term of this arithmetic sequence?-7,-3,1,5, …
Answer:
Step-by-step explanation:
nˣ=a+(n-1)d25th=-7+(25-1)425th=-7+(24×4)25th=-7+9625th=89A scientist places 20 mg of bacteria in a culture for an experiment and he finds that the mass of the bacteria triples every day.
a.)Each day that passes, the mass of bacteria in the culture changes by what percent?
Answer: 300%
Step-by-step explanation:
Multiplying something by 3 is the same as 300% of that number
20 x 3 = 60
60 = 300% x 20
I WILL GIVE BRAINLEST AND 50 POINTS
Katrina was training for a race. The line plot below shows the number of miles Katrina ran last week.
3. How many times did Katrina run 1 mile?
Answer:
Katrina ran 1 mile 3 times! I hope this helps you!
I need help please!!!
Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.
I prefer Wills method because it is easier and less complicated.
How to solve differences?Wills method:
(5x + 6x) - (2x - 1)
Subtract both 2x and -1
5x + 6x - 2x - - 1
5x + 4x + 1
In conclusion, Wills method is preferred when both methods are compared.
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consider the system of linear equations
consider the system of linear equations
6x+2y – z=4
X +5y+z=3
2x+y+4z=27
A, solve the system by
I. Gassian elimination method,
II. LU- decomposition method
III. Gauss- Jacobi method,and
IV. Gauss-seidel method,
I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.
II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.
III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.
IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.
I. Gaussian Elimination Method:
To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:
| 6 2 -1 | 4 |
| 1 5 1 | 3 |
| 2 1 4 |27 |
We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.
After performing the necessary row operations, we obtain the following reduced row-echelon form:
| 6 2 -1 | 4 |
| 0 4 2 | -1 |
| 0 0 3 | 6 |
From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.
II. LU-Decomposition Method:
LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.
III. Gauss-Jacobi Method:
The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.
IV. Gauss-Seidel Method:
Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.
Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.
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How old am i if 200 reduced by 2 times my age is 54?
Show steps
Answer:
73 years old
Step-by-step explanation:
Let x represent your age then...
200-2x=54
Subtract 200 from each side
-2x=-146
Divide both sides by -2
x=73
73 years old
Answer:
73 years
Step-by-step explanation:
let my age=x
200-2x=54
2x=200-54
2x=146
x=146/2=73
Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost?
Answer:
10
Step-by-step explanation:
a) La autopista 10 en Haradh, Arabia Saudita, tiene más de 200
km en línea recta. Un automóvil viaja por esta carretera con
velocidad constante de 120 km/h durante 200 km.?
Explicación paso a paso:
Como no dijimos qué calcular, también podemos encontrar el tiempo que tarda el automóvil en viajar por la carretera.
Velocidad = Distancia / Tiempo
Tiempo = Distancia / Velocidad
Dado
Distancia = 200 km
Velocidad = 120 km / h
Sustituir
Tiempo = 200/120
Tiempo = 20/12
Tiempo = 1,67 horas
Por tanto, el tiempo que tarda el coche en recorrer la carretera es de 1,67 horas.
Se tarda aproximadamente 1.67 horas en viajar por la autopista de Arabia Saudita.
La velocidad es la relación entre la distancia total recorrida y el tiempo total empleado. Está dado por:
Velocidad = distancia/tiempoDeje que el tiempo necesario para viajar Arabia Saudita sea t. Por eso:
120 km/h=200 km/tt = 200/120
t=1.67 horasSe tarda aproximadamente 1.67 horas en viajar por la autopista de Arabia Saudita.
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HELP ME PLEASEEE!!!!Jordan spent 5 hours over the weekend studying for 3 tests. He spent an equal amount of time studying for each test. How long did Jordan spend studying for each test? Answers:
1 3/4 hours. 3/5 hours. 1/5 hours. or 1 2/3
Answer:
oh god I wanna feel dead oh god i wanna feel dead
Simplify the expression by combining like terms and distributing. −10(1−9x)+6(x−10)
In the equation z + 4 = 44, what is the next step in the equation solving sequence?
Answer:
subtract 4
isolating the variable (z)
Step-by-step explanation:
z=40
4. Saul wants to cash a check for $715 at his bank. He has
$436 in his bank account. How much more money will
he need in his bank account to cash the check?
Answer:
he needs $279
Step-by-step explanation:
715-436= 279
Please help if you can thanks
The probability that:
(a) 47 or more products fail is approximately 0.9525.(b) 58 or fewer products fail is approximately 0.5250.(c) 5 or more products succeed is approximately 0.7151.(d) 10 products succeed is approximately 0.3522.How to find probability?First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).
So,
np = 700.83 = 58.1,
n(1-p) = 700.17 = 11.9.
Both quantities are larger than 5, so use the normal approximation.
Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.
(a) within 2 years 47 or more fall:
This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.
So the probability that 47 or more products fail is approximately 0.9525.
(b) within 2 years 58 or fewer fail:
This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.
So the probability that 58 or fewer products fail is approximately 0.5250.
(c) within 2 years 15 or more succeed:
Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.
The probability that a standard normal variable is greater than -0.567 is 0.7151.
So the probability that 15 or more products succeed is approximately 0.7151.
(d) within 2 years fewer than 10 succeed:
This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.
The probability that a standard normal variable is less than 0.377 is 0.6478.
However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.
So the probability that fewer than 10 products succeed is approximately 0.3522.
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Convert 506 minutes to hours and minutes.
Answer:
8 hours and 26 minutes
Step-by-step explanation:
To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.
First, we can divide 506 by 60 to find the number of hours:
506 ÷ 60 = 8 with a remainder of 26
This means that 506 minutes is equal to 8 hours and 26 minutes.
Therefore, the conversion of 506 minutes to hours and minutes is:
8 hours and 26 minutes
Two humitos cout $1500. Complete a table to show the con for 3, 7, and 13 borrins at fest rate
Next, find the cost for a single burrito in each case. What do you notice about the values in this
be
Answer:
I would say the answer is 1500/3/7/13
Step-by-step explanation:
con for 3,7,13 find it divife it by 1500 cost of burrito