Mark Welsch deposits $7,500 in an account that earns interest at an annual rate of 8%, compounded quarterly. At the end of 5 years, the amount of money in the account is $7,500 + earned interest = $11,142.75. The answer is rounded to two decimal places.
Mark Welsch deposits $7,500 in an account that earns interest at an annual rate of 8%, compounded quarterly. The $7,500 plus earned interest must remain in the account 5 years before it can be withdrawn. How much money will be in the account at the end of 5 years?Solution: Given that, Principal amount (P) = $7,500Rate of interest (R) = 8%Time (n) = 5 years Quarterly compounding, i.e., number of times compounded per year (m) = 4
We have to find the amount of money that will be in the account at the end of 5 years using the following formula,
A = P(1 + r/n)^(nt)
where A = Final amount
P = Principal amount
r = Rate of interest
n = Number of times compounded per year (frequency)
t = Time in years
So, A = $7,500(1 + 0.08/4)^(4 × 5)
=$7,500(1 + 0.02)^20
=$7,500(1.02)^20
=$7,500 × 1.4859
=$11,142.75
Therefore, at the end of 5 years, the amount of money that will be in the account is $11,142.75.
Note: The above calculated answer is rounded to two decimal places.
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y = 8x + 3
The rate of change is 1 and the y-intercept is 4
Answer:
False
Step-by-step explanation:
The rate of change/slope of the linear equation is 8.
The y-intercept is the point where x has no value and y does.
And in the linear equation y = 8x+3, the y-intercept is 3.
Therefore, false.
- Thanks.
A function fis defined by; f(x)=x2+4x+5 then find the value of
f(2).
Answer:
f(x)=17
Step-by-step explanation:
f(x)=(2)2+4(2)+5
=4+8+5
=17
f(x)=17
Answer:
f(2) = 17
Step-by-step explanation:
f(2) - sub in the number 2 in x
(2)² + 4(2) + 5
4 + 8 + 5
f(2) = 17
a researcher is interested in the sleeping habits of students at the local state college. the average number of hours spent sleeping each night for the entire set of students enrolled at the college is an example of a .
One example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.
What do we mean by a parameter?In mathematics, a parameter is a variable whose range of possible values identifies a number of unique cases in a problem. A parametric equation is any equation that is expressed in terms of parameters. To describe the entire population under study, a parameter is used. For instance, we are interested in learning the typical length of a butterfly. This information about the entire butterfly population makes it a parameter. The local state college's students' sleeping patterns are of interest to a researcher. One example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.Therefore, one example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.
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The correct question is given below:
A researcher is interested in the sleeping habits of students at the local state college. The average number of hours spent sleeping each night for the entire set of students enrolled at the college is an example of a ____.
One gallon of water is equivalent to 8.34 pounds. Write this value as a mixed number in simplest form
Answer:
8 17/50
Step-by-step explanation:
8.34
= 8 34/100
8 17/50
Answer: 8_17/50
Step-by-step explanation:
1.Consider a 64-bit architecture machine where physical memory is 128GB a.If we would like to run processes as big as 256GB how many bits would be required for the logical address? 38 2 9& 25661 b.If we are using pages of size 4KB, how many bits are needed for displacement into a page? 12 bits 4KB= c.If a single level page table is used, what is the maximum number of entries in this table? 38 26 entries d.What is the size of this single level page table in terms of 4KB pages? 2o Pages e. If a two-level page-table is used and the outer page table is an 4KB page,how many entries does it contain, maximally? f. How many bits of the logical address are used to specify an index into the inner page (page of page table)?
a). 2^38 bytes of memory
b). 12 bits
c). The maximum number of entries in the single-level page table would be 2^38.
d). The size would be 2^38 * 4KB, which equals 2^20 pages.
e). The maximum number of entries it can have depends on the remaining bits of the logical address.
f). The amount of bits required to denote an index into the inner page table is obtained by subtracting the offset and outer page index bits from the logical address.
a. To address a physical memory size of 128GB (2^37 bytes), a 64-bit architecture would require 38 bits for the logical address, allowing access to a maximum of 2^38 bytes of memory.
b. Given that the page size is 4KB (2^12 bytes), 12 bits would be needed to specify the displacement into a page. This means that the lower 12 bits of the logical address would be used for page offset or displacement.
c. With a single-level page table, the maximum number of entries would be equal to the number of possible logical addresses. In this case, since the logical address requires 38 bits, the maximum number of entries in the single-level page table would be 2^38.
d. The size of the single-level page table is determined by the number of entries it contains. Since each entry maps to a page of size 4KB, the size of the single-level page table can be calculated by multiplying the number of entries by the size of each entry. In this case, the size would be 2^38 * 4KB, which equals 2^20 pages.
e. For a two-level page table, the size of the outer page table is determined by the number of entries it can contain. Since the outer page table uses 4KB pages, the maximum number of entries it can have depends on the remaining bits of the logical address. The number of bits used for the index into the outer page table is determined by subtracting the bits used for the inner page index and the offset from the total number of bits in the logical address.
f. The number of bits used to specify an index into the inner page table can be determined by subtracting the bits used for the offset and the bits used for the outer page index from the total number of bits in the logical address. The remaining bits are then used to specify the index into the inner page table.
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Triangle ABC and Triangle CDE are similar right triangles. Which proportion can be used to show that the slope of AC is equal to the slope of CE?
The proportion that can be used to show that AC and CE has equal slope is: 2 - 0/3 - 0 = 4 - 2/6 - 3.
How to Determine the Slope of a Line?Using any two points on a given line, the formula to find the slope of the line is given as:
Slope (m) = change in y / change in x = rise/run or the line.
Given that triangles ABC and CDE are two similar right triangles, find the slope of AC and CE as explained below:
Point A is at (0, 0)
Point C is at (3, 2)
Point E is at (6, 4)
Slope of AC = change in y / change in x = 2 - 0/3 - 0 = 2/3
Slope of CE = 4 - 2/6 - 3 = 2/3
Thus, the proportion showing that the slope of AC and the slope of CE are the same would be expressed as:
2 - 0/3 - 0 = 4 - 2/6 - 3.
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10x + 6y = 900
Solve for x and y
The solutions to x and y are x = 90 - 0.6y and y = 150 - 4/3x
How to determine the solution to x and yFrom the question, we have the following equation that can be used in our computation:
10x + 6y = 900
Divide through by 2
5x + 3y = 450
So, we have
5x = 450 - 3y
Divide through by 5
x = 90 - 0.6y
Next, we have
5x + 3y = 450
So, we have
3y = 450 - 4x
Divide through by 3
y = 150 - 4/3x
Hence, the solution for y is y = 150 - 4/3x
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What is the slope of the line through (–2. -6) and (2, 2)?
Answer:
slope is 2
Step-by-step explanation:
Someone pls help with this math table
Answer:
Just plug in each one
You got the equation for x so plug in whatever number x is on the table
Step-by-step explanation:
For example
The first one
plug it in for X
y= -1/2*-4+8
Now solve
you’d get 10
So y is 10
Just continue from there
the apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides.
The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.
A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A polygon is a fully closed, two-dimensional (2D), flat form with straight sides (all the sides are joined up). They must have straight sides. Any number of sides can be found in polygons.
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a game of chance consists of spinning an arrow on a 3 circular board, divided into 8 equal parts, which comes to rest pointing at one of the numbers 1, 2, 3, ..., 8 which are equally likely outcomes. what is the probability that the arrow will point at (i) an odd number?
The probability of the arrow landing on an odd number is the number of odd numbers divided by the total number of possible outcomes. Therefore, the probability of the arrow landing on an odd number is 0.5 or 50%.
To find the probability that the arrow will point at an odd number on a circular board with 8 equal parts, we'll first determine the total number of odd numbers present and then divide that by the total number of possible outcomes.
Step 1: Identify the odd numbers on the board. They are 1, 3, 5, and 7. The game consists of spinning the arrow on a circular board with 8 equal parts, which means there are 8 possible outcomes or numbers. Since we want to know the probability of landing on an odd number, we need to count how many odd numbers are on the board. In this case, there are four odd numbers: 1, 3, 5, and 7.
Step 2: Count the total number of odd numbers. There are 4 odd numbers.
Step 3: Count the total number of possible outcomes. Since the board is divided into 8 equal parts, there are 8 possible outcomes.
Step 4: Calculate the probability. The probability of the arrow pointing at an odd number is the number of odd numbers divided by the total number of possible outcomes.
Probability = (Number of odd numbers) / (Total number of possible outcomes)
Probability of landing on an odd number = Number of odd numbers / Total number of possible outcomes
Probability of landing on an odd number = 4 / 8
Step 5: Simplify the fraction. The probability of the arrow pointing at an odd number is 1/2 or 50%.
So, the probability that the arrow will point at an odd number is 1/2 or 50%.
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You need 3 sticks of butter for every 24 cookies you bake.how much will you get for 5 stick of butter
Answer:192 cookies
Step-by-step explanation:
8•24=192
A rectangle has vertices 3,0 3,7 6,7 and 6,0. Use the coordinates to find the perimeter of the rectangle
The area of the rectangle is 81 square units and the perimeter of the rectangle is 36 units.
We have been given the rectangle with coordinates (3,0), (3,7), (6, 7) and (6, 0)
We need to find the perimeter and area of the rectangle.
Using the distance formula we find the length and width of the rectangle.
d1 = √(-2 - 7)² + (3 - 3)²
d1 = √(-9)²
d1 = 9
And d2 = √(-2 + 2)² + (-6-3)²
d2 = √(-9)²
d2 = 9
d3 = √(7 + 2)² + (-6 + 6)²
d3 = 9
This means, the length and width of the rectangle are equal i.e., 9 units.
So, the perimeter would be,
P = 4 * 9
P = 36 units
And the area would be A = 9 * 9
A = 81 square units
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Given that x+1 is a factor of 2x^3-3x^2-8x-3 , solve 2x^3-3x^2-8x-3=0. This means find all the roots for the function.
Answer:
x=-1, -1/2, 3
Step-by-step explanation:
(6n – 7) + (8n + 2) = 23
Answer:100
Step-by-step explanation:
2!2
Answer:
n = 2
Step-by-step explanation:
(6n - 7) + (8n + 2) = 23 (Combine like terms)
14n - 5 = 23 (Add 5 from both sides)
14n = 28 (divided 14 from both sides)
n = 2
The sum of one and the product of four and a number
Find all values of j for which the quadratic equation has one real solution.6x^2-5x+j=0Write your answer as an equality or inequality in terms of j.
SOLUTION
Given the question in the question tab, the following are the solution steps to solve the problem.
Step 1: Define the conditions for which a quadratic equation will have one real solution.
A quadratic equation has one real solution if the discriminant of the equation equals to zero. This means that:
\(\begin{gathered} D=0 \\ D=b^2-4ac=0 \end{gathered}\)Step 2: Write out the quadratic equation given and the parameters
\(\begin{gathered} 6x^2-5x+j=0 \\ By\text{ comparisonn with }ax^2+bx+c=0, \\ a=6,b=-5,c=j \end{gathered}\)Step 3: Substitute the values in step 2 in the equation in step 1 to solve for j
\(\begin{gathered} D=b^2-4ac=0 \\ (-5^2)-4(6)(j)=0 \\ 25-24j=0 \\ 25=24j \\ j=\frac{25}{24} \end{gathered}\)Hence, the given quadratic equation will have one real solution when the value of j is equal to 25/24
help needed please and thank you
Answer:
I think the answer is B or D
Step-by-step explanation:
Can i get brainiest please?
5y=-3+15
convert to slope intercept form
Answer:
y=-⅗x+3
Step-by-step explanation:
5y=-3x+15. Divide 5 on both sides
5. 5
y=-⅗x+15/5
y=-⅗x+3
Hope this helps :)
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
6) Slope = -3, y-intercept = 3
7) Slope = -4, y-intercept = 5
Answer:
6) y= -3x+3
7) y= -4x+5
Step-by-step explanation:
a/an _______ variable is one that has numerical values and still makes sense when you average the data values.
An interval variable is one that has numerical values and still makes sense when you average the data values. This type of variable is used in statistics and data analysis to measure continuous data, such as temperature, time, or weight.
Interval variables are based on a scale that has equal distances between each value, meaning that the difference between any two values is consistent throughout the scale.
Interval variables can be used to create meaningful averages or means. The arithmetic mean is a common method used to calculate the average of interval variables. For example, if a researcher is studying the temperature of a city over a month, they can use interval variables to represent the temperature readings. By averaging the temperature readings, the researcher can calculate the mean temperature for the month.
In summary, interval variables are essential in statistics and data analysis because they can be used to measure continuous data and create meaningful averages. They are based on a scale with equal distances between each value and are commonly used in research studies.
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pls help I literally don’t get this
Aniyah invests $2300 in one account and $1400 in an account paying 4 % higher interest. At the end of one year she had earned $130 in interest. At what rates did she invest
The rate of interest in one account whose investment is $2300 will be 3.21%.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Aniyah puts $2300 in one record and $1400 in a record paying 4 % higher interest. Toward the finish of one year, she had procured $130 in interest.
Let 'x' be the interest. Then the equation is given as,
(2300 × x × 1)/100 + (1400 × 4 × 1) / 100 = 130
Simplify the equation, then we have
23x + 56 = 130
23x = 74
x = 3.21%
The pace of revenue in one record whose speculation is $2300 will be 3.21%.
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The lowest temperature recorded in Canada was -63 degrees. The highest temperature recorded in Canada was +45 degrees. What is the difference between the temperatures?
Answer:
108 degrees difference.
Step-by-step explanation:
63+45=108
Answer:
108
Step-by-step explanation:
45--63=108
Hope you have a great day!
The proportion of nochange audits has risen over the years and is currently approximately 0.25 (T. Herman, Unhappy Returns: IRS Moves to Bring Back Random Audits, The Wall Street Journal, June 20, 2002, p. A1). Suppose that you select a random sample of 100 audits. What is the probability that the sample has
The probability that the sample of 100 audits has less than 20 no change audits is approximately 0.1251.
The given information states that the proportion of no change audits is 0.25. Let's suppose you randomly select a sample of 100 audits. The probability of having no change audits in the sample is denoted as p = 0.25.
To find the probability that the sample has less than 20 no change audits, we can calculate it using the binomial distribution. The mean (μ) of the binomial distribution is given by the formula μ = np, where n is the sample size and p is the probability of success. In this case, the mean is μ = 100 * 0.25 = 25.
The variance (σ²) of the binomial distribution is given by the formula σ² = npq, where q is the probability of failure (1 - p). In this case, the variance is σ² = 100 * 0.25 * 0.75 = 18.75. Taking the square root of the variance gives us the standard deviation (σ), which is σ = √18.75 ≈ 4.33.
Now, we can calculate the probability P(X < 20) by standardizing the random variable X using the Z-score formula: Z = (X - μ) / σ. In this case, we have Z = (20 - 25) / 4.33 ≈ -1.15.
To find the probability corresponding to Z = -1.15, we can use the standard normal distribution table or calculator, represented as Φ. Hence, we have P(Z < -1.15) = Φ(-1.15) ≈ 0.1251.
Therefore, the probability that the sample of 100 audits has less than 20 no change audits is approximately 0.1251.
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How
do you solve this for coefficients?
g(x) = { 1₁ -1 - T≤x≤0 осхь п 1 f(x+2TT) = g(x)
The coefficient for the interval -T ≤ x ≤ 0 in the function g(x) is 1. However, the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x). Without additional information about f(x), we cannot determine its coefficient for that interval.
To solve for the coefficients in the function g(x), we need to consider the conditions given:
g(x) = { 1, -1, -T ≤ x ≤ 0
{ 1, f(x + 2π) = g(x)
We have two pieces to the function g(x), one for the interval -T ≤ x ≤ 0 and another for the interval 0 ≤ x ≤ 2π.
For the interval -T ≤ x ≤ 0, we are given that g(x) = 1, so the coefficient for this interval is 1.
For the interval 0 ≤ x ≤ 2π, we are given that f(x + 2π) = g(x). This means that the function g(x) is equal to the function f(x) shifted by 2π. Since f(x) is not specified, we cannot determine the coefficient for this interval without additional information about f(x).
The coefficient for the interval -T ≤ x ≤ 0 is 1, but the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x).
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Daniel wants to do 312 practice problems to prepare for an exam. If he wants to do approximately the same number of problems each day for 36 days, which best describes the number of problems that he needs to do each day?
Answer: 8/9 questions
Step-by-step explanation: 312/36= 8.6...
The answer depends on if you want to round up or down.
whats the value of x in 5x/6-2=8
Answer: x=12
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
5x/6=8+2
5x/6=10
5x=10x6
5x/5=10x6/5
x =12
Which value does NOT represent the shaded portion of the model shown? A 3/5 B. 0.3 C. 60% D. 0.6
Answer:
B
Step-by-step explanation:
All the rest = 3/5, 3 shaded out of 5
:]
i) Given that a = 1, b = 3, c = 7, evaluate abc
Calculations ↓Instead of a write 1 :1bcInstead of b write 3 :1*3cInstead of c write 7 :1*3*7Multiply :1*2121Evaluated expression ↓21