Answer:
.
Step-by-step explanation:
.
You want to be able to withdraw $45,000 each year for 20 years. Your account earns 6% interest. a) How much do you need in your account at the beginning? $ b) How much total money will you pull out of the account? $ c) How much of that money is interest?
Step-by-step explanation:
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The volume of the triangular pyramid below is 240 units. Find the value of a.
Answer: =
12
Submit Answer
15
مومی مرده
The value of x in the triangular pyramid is 8 units.
How to find the height of a pyramid?The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.
volume of the pyramid = 1 / 3 ×base area × height
Therefore,
base area = 1 / 2 bh
base area = 1 / 2 × 12 × x
base area = 6x
Therefore,
volume of the pyramid = 1 / 3 × 6x × 15
240 = 30x
divide both sides by 30
x = 240 / 30
x = 8 units
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If f(x) -
X-3
and g(x) = 5x - 4, what is the domain of (f•g)(x)?
type the inequality from its graph
Answer:
x>_-1
Step-by-step explanation:
x is such that x is greater or equal to -1
what is the value of the exponital expression below 36 1/2
Can someone help me on this? Thanks!
Answer:
it's the graph c
Step-by-step explanation:
(0, -2)
(1, 0)
(2, 2)
2) √51 is closest to which whole
number?
After cοmpleting the task, we can state that The whοle number clοsest tο expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.
What is whοle number?The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.
Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.
√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.
Therefοre, √51 is clοsest tο the whοle number 7.
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If ray earns $120 for 15 hours of work, how much will he earn for 20 hours of work at the same rate
Find his rate:
120 / 15 = $8 per hour
Multiply the rate by hours:
$8 x 20 hours = $160
He will earn $160
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Solve this system of equations by substitution.
x + y = 4
2x - 3y = 3
Answer
Given the 2 equations
x = y + 4 → (1)
2x - 3y = - 2 → (2)
Substitute x = y + 4 into (2)
2(y + 4) - 3y = - 2 ← distribute and simplify left side
2y + 8 - 3y = - 2
- y + 8 = - 2 ( subtract 8 from both sides )
- y = - 10 ( multiply both sides by - 1 )
y = 10
Substitute y = 10 into (1) for corresponding value of x
x = 10 + 4 = 14
Solution is (14, 10 ) → D
Step-by-step explanation:
Answer:
x=3
x=3y=1
I hope this helps!
Step-by-step explanation:
x+y=4
2x-3y=3
y = 4-x
2x-3(4-x) = 3
2x-12+3x = 3
5x = 15
x = 3
y = 4-x
4-3 = 1
y = 1
a study of long-distance phone calls made from general electric reveled the length of the calls, in minutes, follows the normal probability distribution. the mean length of time per call was 4.5 minutes and the standard deviation was 0.70 minutes. what is the probability that calls last between 4.0 and 6.0 minutes?
The probability that calls last between 4.0 and 4.6 minutes will be around 0.4332.
we have to standardize the values and utilize the standard typical dispersion table or calculator.
To discover the z-scores for 4.0 and 6.0 minutes:
z1 = (4.0 - 6.0 ) / 0.70 = 2.8
z2 = (4.5 - 6.0 ) / 0.70= 2.1
Since Employing a standard ordinary conveyance table, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:
P(0 ≤ Z ≤ 2.1) = 0.4332
However the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332.
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What is the value of the expression 9(2)+1•8?
Answer:
19.8
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
When we find the values of questions like this, we have to remember to use "PEMDAS".
Because multiplication comes before addition, we have to multiply first.
(Since there are two multiplication parts in the question, we start off by the first one.)
When we multiply both parts, we'll get:
\((18)+(8)\), which equals to 26.
So, your answer is 26.
Pls help Darnell is an election officer. On election day, he travels to the polling place, which is 4.4 miles away from his home. On a map of Harrison County, these two places are 8 inches apart. What is the scale of the map? Write your answer in simplest form using whole numbers.
Answer:
The scale of the map is 1 : 34848---------------------------------
Real distance is 4.4 miles and on the map it is 8 inches.
The scale is:
8 in : 4.4 miles = Divide both sides by 81 in : 0.55 milesor
1 in : 0.55 * 63360 in = Convert 1 mile = 63360 inches1 : 34848Henry’s Moving Company charges an initial fee of $50 plus $20 per hour (H). The total cost (T) can be determined using the equation: t=50+20H
Jones Moving Company charges an initial fee of $100 plus $10 per hour (H). Which
company would be cheapest if you were going to hire them for 5 hours?
Answer:
C=50+20h
Step-by-step explanation:
The $50 dollars in this equation is a flat fee, no variable to it. It doesn't increase or decrease depending on the number of hours. The $20 dollars is dependent on the number of hours the plumber works. If the plumber works 2 hours they get $40 dollars, the amount the plumber receives depends on the hours worked. The h in the equation is a placeholder for hours worked. To solve the equation just replace h with the hours worked and solve to get the answer.
Use the equation below to find v, if u= 12, a=9, and t=4.
v=u+at
Answer:
v=48
Step-by-step explanation:
\(v=?\\\\u=12\\\\a=9\\\\t=4\\\\v=u+at\\\\v=(12)+(9)(4)\\\\v=12+36\\\\v=48\)
A fraternity charge $2.00 admission for dudes and $1.00 admission for ladies. They made $45 and sold 35 tickets how many ladies attended the party
After solving the equations, we know that a total of 25 ladies attended the party.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, take dudes as x and ladies as y.
Now, form the required 2 equations as follows:
2x + y = 45 ...(1)
x + y = 35 ...(2)
Work on equation (2):
x + y = 35
x = 35 - y
Now, substitute x = 35 - y in equation (1):
2x + y = 45
2(35-y) + y = 45
70 - 2y + y = 45
-y = -25
y = 25
Since ladies were charged $1 for each ticket, then 25 ladies attended the party.
Therefore, after solving the equations, we know that a total of 25 ladies attended the party.
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television and DVD player cost a total of $1242. The cost of the television is two times the cost of the DVD player. Find the cost of each item.
Answer: TV costs $828 and DVD player costs $414.
Step-by-step explanation: let x represent the cost of tv while y represents the cost of the player. x+y = 1242. since the tv costs twice as much as the dvd player, we can say that 2y=x. now replace x with 2y in our equation and we get 2y+y= 1242, 3y = 1242. now divide both sides by 3 and y = 414. Now that we now the value of y, just sub it into our original equation, x+y = 1242. x + 414 = 1242. x = 828.
what is the value of 6 + 4 x ( 3 x 4 - 4 )
Answer: 80
Step-by-step explanation:
Answer: The correct answer is 80
Step-by-step explanation:
in parentheses 3x4 = 12 - 4 = 8
6 + 4 = 10
10 x 8 = 80
rearrange w=3(2a+b)-4
make a the subject
Step-by-step explanation:
Rearrange w = 3(2a + b) - 4 to make a the subject:
w = 3(2a + b) - 4
expand right side:
w = 6a + 3b - 4
add 4 to both sides:
w + 4 = 6a + 3b - 4 + 4
w + 4 = 6a + 3b
subtract 3b from both sides:
w + 4 - 3b = 6a + 3b - 3b
w + 4 - 3b = 6a
flip flop equation for readability ease:
w + 4 - 3b = 6a becomes:
6a = w + 4 - 3b
divide both sides by 6:
6a/6 = (w + 4 - 3b)/6
a = \(\frac{1}{6}w + \frac{4}{6} -\frac{3}{6}b\)
reduce:
a = \(\frac{1}{6}w + \frac{2}{3} -\frac{1}{2}b\)
Now, arrange right side of equation so variables are ordered alphabetically.
Answer: \(a = -\frac{1}{2}b +\frac{1}{6} w+\frac{2}{3}\)
Find the equation of a straight line cutting off the y-intercept 4 from the axis of y and inclined to 60° with the positive direction of X-axis.
The linear function is given as follows:
\(y = \sqrt{x} + 4\)
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The y-intercept is of 4, hence the parameter b is given as follows:
b = 4.
The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:
m = tan(60º)
\(m = \sqrt{3}\)
Thus the function is given as follows:
\(y = \sqrt{x} + 4\)
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Write the equation of the question.
The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.
According to the question,
We have the following information:
Slope of the line = 1/3
We know that the slope of the line is denoted by m.
y-intercept of the line = -1
We know that the y-intercept is denoted by b.
We have the following equation for the line in slope-intercept form:
y = mx+b
Putting the above values in this equation:
y = x/3-1
Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.
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salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
Based on the pattern, what are the next two terms of the sequence?
Answer:
33 , 39
Step-by-step explanation:
given
9 , 15 , 21 , 27
there is a common difference between consecutive terms, that is
15 - 9 = 21 - 15 = 27 - 21 = 6
to obtain terms in the sequence add 6 to the preceding term
27 + 6 = 33
33 + 6 = 39
the next two terms are 33 and 39
Need help placing in correct spot
The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.
How to find angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.
Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.
Hence,
∠3 = 180 - 62 = 118 degrees(angles on a straight line)
∠1 ≅ ∠3 (vertically opposite angles)
∠7 ≅ ∠3 (alternate interior angles)
∠5 ≅ ∠7 (vertically opposite angles)
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Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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You will create an estimate in order to assist your boss in gaining the job!
The equation that is given by the customer for the pool is (units are in feet): x2 + y2 = 81
- Your performance needs to include the following calculations:
- Compute the radius and diameter of the pool.
- Compute the volume of water in the pool using the above calculations and a height of 4 ft.
- Assuming that water costs $0.22 per gallon and that pools cost $185 per foot of radius calculate the total cost of materials for the pool. Keep in mind that there are 7.48 gallons of water per square foot.
- Assuming that a pool will take 2.5 hrs. per foot of radius, compute the total labor hours for the pool.
- If you are to pay someone $19/hr, compute the total cost of labor.
- Find a total cost for the project.
- All of the above is done showing all work.
- A final paragraph that describes your steps and findings.
The solution has been explained below.
We will use the following equation, x² + y² = 81, where x and y are the pool's dimensions in feet, to determine the necessary estimations for the pool project.
1. Calculate the pool's diameter and radius:
We can infer that the radius of the pool is equal to the square root of 81 because the equation depicts a circle. As a result, r = 81 = 9 ft.
The pool's diameter is simply equal to twice its radius, or d = 2r = 18 feet.
2. Calculate the amount of water in the pool:
Since the pool is 4 feet high, we can determine its volume by multiplying the area of its circle-shaped base by the height.
The formula A = πr² can be used to calculate the area of the pool's base,
Therefore, V = Ah = πr²h = 1017.87 cubic feet represents the volume of water in the pool.
3. Determine the pool's total material cost:
There are 7.48 gallons in a cubic foot and a gallon of water costs $0.22.
As a result, Cw = V × 7.48 × 0.22 = 1017.87 × 7.48 × 0.22 = $1,619.72 is the entire cost of water for the pool.
If the radius of the pool is $185 per foot, then the cost of the materials is Cm = r × 185 = 9 × 185 = $1,665.
4. Calculate the pool's total labour hours:
A pool's construction is estimated to take 2.5 hours for every foot of its radius.
So, L = r × 2.5 = 9 × 2.5 = 22.5 hours of labour would be needed to complete this pool.
5. Calculate the total cost of labour for the project:
If you pay someone $19 per hour, Cl = L × 19 = 22.5 × 19 = $427.5.
6. Find the project's overall cost:
The project's overall cost is the product of its labour and material costs:
Cost as a whole equals Cm + Cw + Cl, which is 1,665 + 1,619.72 + 427.5, or $3,712.22.
In conclusion, the pool has an 18-foot diameter and a 9-foot radius according to the supplied equation. There are roughly 1017.87 cubic feet of water in the pool. Water and building supplies are included in the pool's projected material cost of $3,284.72. 22.5 hours of labour in total are needed, with a labour cost estimate of $427.5. Consequently, $3,712.22 is the expected final cost of the pool renovation.
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The perimeter of a rectangle is 50cm. The length is 2 more than three times the width. What is the length of the rectangle?
The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
What is Perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.
The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution. Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.
Given that,
Perimeter = 2(l + b) = 50cm
And also given that,
l = 2 + 3b
Substituting the value of l in perimeter we get
2((2 + 3b) + b) = 50cm
2(2 + 4b) = 50cm
4 + 8b) = 50cm
8b = 50 - 4
b = 46/8
b = 5.75
Substituting the value of b in l, we get
l = 2 + 3(5.75)
l = 19.25
Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
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true/false. given an int variable datum that has already been declared, write a statement that reads an integer value from standard input into this variable.
True.
Here's an example statement in Python that reads an integer variables from standard input and stores it in an existing integer variable called datum:
datum = int(input("Enter an integer value: "))
This statement first prompts the user to enter an integer value by printing the string "Enter an integer value: " to the console. The input() function then reads the user's input from the console as a string. Finally, the int() function converts the string to an integer and assigns the result to the datum variable.
Note that the specific syntax and function calls may vary depending on the programming language being used, but the general concept of reading an integer value from standard input into an existing variable is applicable to most programming languages.
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Given g(x) = -1, if g(x) = -16, find x.
The value of x is -15
What are functions?Functions are simply defined as expressions or rules showing the relationship between two variables.
These variables are listed as;
The independent variableThe dependent variableFrom the information given, we have that;
g(x) =x -1, if g(x) = -16
Now, we have to equate the two functions, we get;
x - 1 = -16
collect the like terms, we get;
x =-16 + 1
add the values, we have;
x = -15
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The complete question:
Given g(x) =x -1, if g(x) = -16, find x.
HELPPP I NEED IT ASAP!!!!!!!!!!!
Answer:
its a black screen
Step-by-step explanation: