Answer:
Step-by-step explanation:
To find the compound interest earned on $50,000 in 10 years at 6.4% annual interest compounded quarterly, we can use the formula:
compound interest = principal * (1 + rate/n)^(n*t) - principal
where "principal" is the initial amount of money, "rate" is the annual interest rate, "n" is the number of times the interest is compounded per year, and "t" is the number of years.
Plugging in the given values, we get:
compound interest = $50,000 * (1 + 0.064/4)^(4*10) - $50,000
= $50,000 * (1.016)^40 - $50,000
= $50,000 * 2.6335 - $50,000
= $78,167.50 - $50,000
= $28,167.50
Therefore, the compound interest earned on $50,000 in 10 years at 6.4% annual interest compounded quarterly is $28,167.50.
Eric is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $131 and allows unlimited mileage. Company B has an initial fee of $75 and charges an additional $0.70 for every mile driven. For what mileage will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.
For the mileage of 80 miles company A will charge less than company B.
So, the inequality is m≤80.
What is meant by inequality?A variety of notations are available to denote different kinds of inequalities. An inequality in mathematics is a relationship between two expressions or values that is not equal. To resolve an inequality, follow these steps: First, multiply each term by the total of the least common denominators of all the fractions to be subtracted. Step 2: Combine similar terms on both sides to simplify the inequality. Step 3: Calculate the unknown by adding or subtracting the amounts from the numbers on either side.
Charge for company A=$131
Charge for company B=$75+0.70m
75+0.70m≤131
0.70m≤56
m≤(56/0.7)
m≤80
Therefore, for the mileage of 80 miles company A will charge less than company B.
So, the inequality is m≤80.
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a water tank already contains 2 gallons of water when braxtor begins to fill it. water flows into the tank at a rate of 0.25 gallons per minute. Write an slope on a graph for this and x,y table plus equation
Hence, the slope of equation is [tex]f(x)=-0.25x+2[/tex].
What is the slope of the line?
The slope is always estimated by determining the ratio of the “vertical change” to the “horizontal change” between any two different points on a line.
Suppose that the amount of water in the tank after a certain number of minutes.
Let [tex]x[/tex] be any value. So, after the [tex]x[/tex] minutes the tank has lost [tex]0.25x[/tex] gallons from the original [tex]2[/tex] .
So, the [tex]f(x)=2-0.25x[/tex] where [tex]f(x)[/tex] is the number of gallons remaining after [tex]x[/tex] minutes and here [tex]x[/tex] is the number of minutes.
[tex]f(x)=2-0.25x\\\\f(x)=-0.25x+2[/tex]
Hence, the slope of equation is [tex]f(x)=-0.25x+2[/tex].
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Ordered pairs of -3x + y < 11
The order pair will be greater than (-2,5) because when substituted the value (-2,5) will give 11 that will be false.
What is ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers. Two variables are frequently represented by ordered pairs. (x, y) = (7, - 2) means that x = 7 and y = -2. The x-coordinate is the number that corresponds to the value of x, and the y-coordinate is the number that corresponds to the value of y.
Here,
The given inequality,
-3x+y<11
at (0,0)
0<11
it is true.
at (1,1)
-3+1<11
-2<11
it is true.
Because 11 will be false when the value (-2,5) is substituted, the order pair will be greater than (-2,5).
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Find the measure of angle f given the information below. giving brainliest for whoever is correct
According to the given figure of triangle , f = 58 °
What is Linear pair of angles ?A linear pair of angles is formed when two lines intersect at a single point. The angles are said to be linear if they follow the point where the two lines intersect in a straight line.
The sum of the angles in a pair of linear equations is always 180°. These are also referred to as additional angles.
According to the given information
We are given that
a = 119°
Applying linear Pair of Angles
a + b = 180°
119° + b = 180°
b = 180° - 119°
b = 61 °
We know that
b = c = 61 °
According to Angle sum Property
b + c + f = 180°
61° + 61° + f = 180°
f = 180 - 61 -61
f = 58 °
According to the given figure of triangle , f = 58 °
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Here are the hottest recorded temperatures (in °F) for eight cities throughout North America.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of temperatures in that class.
(Note that we are using a class width of 5 .)
The frequency distribution of the data from 103 to 107 is 2, from 108 to 112 is 4 and from 113 to 117 is 2.
What is frequency distribution in a given set of data?Frequency distribution in a data set is the no. of times a certain data of an interval of grouped data occurs.
Temperature(°F) Frequency
103 to 107 2
108 to 112 4
113 to 117 2
The class width of a data set is represented by the two consecutive lower limits.
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(04.01 MC)
The graph of a linear function is shown.
graph of a line going through 0 comma 1 and 3 comma 3
Based on the graph, which of the following represents a solution to the equation?
a
(−3, −1)
b
(−1, −3)
c
(1, 3)
d
(3, 1)
The solution set of the function based on the graph is (3, 1). Option D
What is the solution set?We know that the solution set of a function would be obtained as the points where the graph cut the axes of the graph. The graph has to do with a system in which information is presented in the x, y coordinate system.
In this kind of system, the vertical axis is the y axis while the horizontal axis is the x axis, as such we would need to plot the data points of the graph and then try to obtain the points that would correspond to the solutions of the points on the graph.
We would now need to observe the graphs so as to be able to obtain the correct presentation of the data points that would serve as the solutions of the graph as we can see the function plotted completely here.
The line cut the y axis at y =1. If we trace this point to the point that it corresponds to in the x axis we have x = 3 and we have the required points as (3, 1).
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two people are scuba diving. one diver is 36 feet below the surface. the other river is 44 feet below the surface. what integers represent where the divers are with respect to the surface? which diver is deeper?
The correct integers are;
For first diver, the elevation = - 36 feet
For second diver , the elevation = - 44 feet
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
One diver is 36 feet below the surface.
And, The other diver is 44 feet below the surface.
Now,
Since, One diver is 36 feet below the surface.
And, The other diver is 44 feet below the surface.
Hence, The correct integers to represent the surface are;
For first diver, the elevation = - 36 feet
For second diver , the elevation = - 44 feet
Thus, The correct integers are;
For first diver, the elevation = - 36 feet
For second diver , the elevation = - 44 feet
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suppose you pick a point uniformly at random from the interval [0, 1]. given your point, your friend picks a point uniformly at random between 0 and your point. (a) find the joint probability distribution of the two points. (b) find the expectation of the product of the two points. (c) find the marginal distribution of the point your friend picks. (d) check that the pdf from (c) satisfies all conditions for being a pdf. (e) find the conditional distribution of your point given your friend point.
(a) The joint probability distribution of the two points will be 1/x, 0<x<1, 0<y<1
(b) The expectation of the product of the two points will be 1/6
(c) The marginal distribution of the point your friend picks will be (-1/2) lny^2
We have, X=(0,1)
Y | X=X=(0, X)
a) Let f(x,y) be the joint probability distribution of the two points will be:
f(X)=1
f(Y|X)=1/x
[tex]$$\begin{aligned}& f(x, y)=f(X) f(Y \mid X=x)=1 / x, 0 < x < 1,0 < y < x\end{aligned}$$[/tex]
b) Let E(XY) be the expectation of the product of the two points.
[tex]$$\begin{aligned}E(XY)=& \int_0^1 \int_0^x \frac{x y}{x} d y d x=\frac{1}{6} \quad \text { (Decimal : } 0.16667 \ldots \text { ) }\end{aligned}$$[/tex]
c) Let f(y) be the marginal distribution of the point your friend picks.
So, the value of f(y) will be:
[tex]$$\begin{aligned}& \mathrm{f}(\mathrm{y})= \\& \int_y^1 \frac{1}{x} d x=-\frac{1}{2} \ln \left(y^2\right)\end{aligned}$$[/tex]
d)for 0<y<1
[tex]$$\begin{aligned}& f(y) > =0 \\& \int_0^1-\frac{1}{2} \ln \left(y^2\right) d y=1\end{aligned}$$[/tex]
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Write the equation
of the line in
Slope-Intercept
Form.
Answer: y= -2/3x + 0
Explanation: y= mx +b
Y-intercept at (o,o), so b is 0
Let's pick 2 points (-3,2) ( 0,0), so the slope is -2/3
So the equation is y=-2/3x + 0
The average person uses approximately gallons of water outdoors per day
Anserw:
Say the averge water a person uses a day is 90 gallons 30% of the water is used outside a day. So that would mean around 27 gallons.
hope that helps :)
Step-by-step explanation:
Alexander is in the business of manufacturing phones. He must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. Let C represent the total cost, in dollars, of producing pp phones in a given day. A graph of C is shown below. Write an equation for C then state the y-intercept of the graph and determine its interpretation in the context of the problem.
C = [___________]
The y-intercept of the function is [____] which represents
(A: The number of days to produce all of the phones.)
(B: The fixed cost for all rent and equipment.)
(C: The total cost to produce all of the phones.)
(D: The additional cost to produce each phone.)
(E: The number of phones produced in day.)
The equation of line of c and y intercept are y = 100x +400 and 400 respectively.
Explain equation of lineThe equation, y = mx + b, is in slant capture structure for the situation of a line. At the point when a condition is here, the slant of the line is given by m and the y-capture is situated at b. For instance, a line with the situation y = 2x + 4 has a slant of 2 and a y-catch of 4.
According to question:Let take two random points lying on the line.
(0, 400) and (1, 500)
we know that,
Slope(m) = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = (500-400)/(1-0) = 100
And y-intersect from the graph is c = 400
Then,
Y = mx + c
y = 100x +400
Y-intercept represent the number of phones produce in a day.
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To qualify for the next marathon, a runner's time must be less than 3 and 1/4 hours. Indicate whether or not each runner will qualify for the next marathon.
Answer:
There was no data provided but due to simple research i have conducted the following data
Qualifiers are in bold, italics and underlined.
Step-by-step explanations:
Chio- 3 1/5
Kevin- 3.2
Ojas- 3 8/30
Sydney- 3 13/60
Qualifiers: Chico, Kevin
let me know if this is incorrect data
The diagram shows a border that is 4 inches wide surrounding Annie's painting.
Write an expression, in factored form, that represents the area of the border.
__ square inches
since the border is 4 inches wide and there are 2 sides to the border , the expression in factored form that represents the area of border = 8 x (length of border)
What is area of rectangle?The area of a rectangle is the amount of two-dimensional space that the rectangle occupies. It is calculated by multiplying the length of the rectangle by its width.
What is perimeter of rectangle?The perimeter of a rectangle is the distance around the outside of the rectangle.
(4 inches) * (2 sides) * (length of border) = 8 inches * (length of border)
To write this expression in factored form, we can factor out the 8 inches:
8 inches * (length of border) = 8 inches * (length of border)
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work out the answers to the following . 2/3+ 1/5
Answer: 13/15
Step-by-step explanation:
2/3 x 5 = 10/15
1/5 x 3 =3/15
3/15 + 10/15 =13/15
Answer:
13/15
Step-by-step explanation:
2/3 = 15/3 = 10 this is because 5 and three have common factors. So I now have 10/15.
1/5 = 3/15.
3/15 + 10/15 = 13/15.
The height of an object that is dropped from the top of a tower is given by the expression −16t2 + 441, where t is the time in seconds.
(a) Factor this expression.
(b) Use a spreadsheet to determine how many seconds it takes the object to fall to a height of 377 feet. (Use 0.5-second intervals for t.)
t = BLANK sec
i need this fast
Hello,
I hope you and your family are doing well!
Part A)
The given expression is in the form y = -16t^2 + 441, which is a quadratic equation. A quadratic equation can be factored into the form (ax + b)(cx + d) = 0, where a, b, c, and d are constants.
To factor in the given expression, we can start by completing the square. To complete the square, we need to add and subtract the square of half of the coefficient of the x^2 term, which is (1/2)(-16) = -8. This gives us:
y = -16t^2 + 441 = (-16t^2 - 8t^2) + 441 = -24t^2 + 441
Now, we can rewrite the expression as follows:
y = -24t^2 + 441 = (-8t^2) + 441
To complete the square, we need to add and subtract (1/2)^2(-8)^2 = 16:
y = (-8t^2 + 16) + 425
This expression can be rewritten as:
y = (-8t^2 + 16) + (20t)^2
So the expression can be factored as:
y = (-8t + 4)(2t - 5) (this is the answer)
Part B)
To find the time it takes the object to fall to a height of 377 feet, we can set y equal to 377 and solve for t. Substituting the factored form of the expression into the equation and solving for t gives us:
377 = (-8t + 4)(2t - 5)
We can then solve this equation by setting each factor equal to 0 and solving for t. This gives us:
-8t + 4 = 0
2t - 5 = 0
Solving these equations separately gives us:
t = 1/2
t = 5/2
The time it takes the object to fall to a height of 377 feet is t = 1/2 seconds. (or 0.5 in decimal form)
Please give this answer 5 stars and brainliest if you find it helpful. Don't hesitate to reach out if you have more questions.
Happy Holidays & New Year!
Line m passes through point (-2,-1) and is perpendicular to the graph of y= -2/3 x + 6. line n is parallel to line m and passes through point (4,-3). Which is the equation of line n in slope-intercept form
Equation of line in slope-intercept form is 3y-2x= -1.
What is a slope-intercept form?There are four alternative ways to figure out the equation of any straight line, one of which is the slope-intercept form.Typically, straight lines are shown as y = mx+c. The x and y variables are said to have a maximum power of unity by this common straight line equation. As a result, x = x1 and y = y1.Additionally, this demonstrates that only linear equations can be solved using the slope-intercept form. You ought to be able to solve linear equations with two variables. The graph of such equations is a straight line, as you should be aware of.Furthermore, you must be sure that you comprehend how linear equations' y-intercept, x-intercept, and slope properties work.Hence, Equation of line in slope-intercept form is 3y-2x= -1.
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Add
-1/2 + 2/7
SIMPLEST FORM!
Answer:
-3/14
Step-by-step explanation:
Step 1) Convert into -7/14 + 4/14
Step 2) -7/14 + 4/14= -3/14
The equation of line s is y=–4x–5/3
Line t includes the point (–3,3) and is parallel to line s. What is the equation of line t
Answer:
y = -4x-9
Step-by-step explanation:
The slope must stay the same for parallel lines, which is -4. Now we will plug the point into slope-intercept form(y=mx+b) where m is the slope and b is the y-intercept. Plugging in -4 for the slope and (-3, 3) for x and y, we get [tex]3=-4*13 + b[/tex], or [tex]3 = 12 + b[/tex]. Subtracting 12 from sides gives us that b = -9, which is the y-intercept! We know have both the slope and y-intercept, so we get that the equation is y = -4x - 9.
Hope this helps!
At a local college, only 60% of students live off campus. Of those who live off campus, 58% of those students get a part-time job. Of those who live on campus, 67% work part-time. The tree diagram shows how the college students are divided into subgroups.
What is the percentage of students who live off campus and do not have a part-time job?
42.6%
34.8%
25.2%
24.3%
The percentage of students who live off campus and do not have a part-time job is 25.2%
The correct answer option is option C
What percentage of students who live off campus and do not have a part-time job?Percentage of students who live off campus = 60%Percentage of students who live off campus and gets a part-time job = 58%Percentage of students who live on campus = 40%Percentage of students who live on campus and gets a part-time job = 67%Students who live off campus and gets a part-time job = Percentage of students who live off campus and gets a part-time job × Percentage of students who live off campus × 100
= 58% of 60% × 100
= 0.58 × 0.60 × 100
= 0.348 × 100
= 34.8%
percentage of students who live off campus and do not have a part-time job = Percentage of students who live off campus - Students who live off campus and gets a part-time job
= 60% - 34.8%
= 25.2%
Consequently, 25.2% of students live off campus and do not have a part-time job.
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What is 2754 divided by 18 ?
Answer:
153
Step-by-step explanation:
Use long division on a piece of paper I can't show photo sorry.
expression that is equivalent to 4m + 6 – 2m?
Answer: 2m-6+4m
Step-by-step explanation:
Find the perimeter of stu
Answer:
32
Step-by-step explanation:
we have to find the side of the bigger triangle by making a ratio
5/8=7/x
cross multiply
5x=7(8)
5x=56
/5. /5
x=11.2
now for the other side
5/8=8/x
5x=8(8)
5x=64
/5. /5
x=12.8
we know all three sides 11.2, 12.8 and 8 so we add them
11.2+12.8+8
24+8
32
hopes this helps
best answer gets brainliest! please explain
Answer: -8
Step-by-step explanation:
We see on the graph that there are two points located y=4. They are (7,4) ( -8,4).
So the other value other than 7 is -8!
Which statement best describes the relationship between changes in air pressure and wind speeds? Responses
When a high- and a low-pressure air mass are far apart, air moves quickly from high to low pressure.
When a high- and a low-pressure air mass are far apart, air moves quickly from low to high pressure.
When a high- and a low-pressure air mass are far apart, air moves quickly from low to high pressure.
When a high- and a low-pressure air mass are close together, air moves slowly from high to low pressure.
The statement that best describes the changes in air pressure and wind speed is C. When a high- and a low-pressure air mass are far apart, air moves slowly from high to low pressure.
What is the relationship between pressure and wind?The weight of air molecules pressing down on the Earth is referred to as air pressure. As you ascend from sea level into the atmosphere, the pressure of the air molecules changes. The greatest pressure exists at sea level, where the density of air molecules is greatest.
Atmospheric pressure, also known as barometric pressure, is the pressure that exists within Earth's atmosphere. The region with low pressure will always get winds from the high pressure. This means that the region of low will attract winds from the high pressure and vice versa.
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a restaurant offers 9 entrees and 11 desserts. in how many ways can a person order a two-course meal?
The number of possible ways a person can order a two-course meal = 99
In this question, we have been given a restaurant offers 9 entrees and 11 desserts.
We need to find the number of possible combinations (ways) a person can order a two-course meal.
Here, the entrees = 9
and the desserts = 11
The entrees can be ordered in 9 ways
The desserts can be ordered in 11 ways.
a two-course meal = entrees * desserts
so, the number of possible ways a person can order a two-course meal would be,
a two-course meal = 11 * 9
a two-course meal = 99
Therefore, in 99 ways a person can order a two-course meal.
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pls pls help due tommorw!!! pretty easyyy!
The monomial that we need to add to have a square of a difference is:
-2bc
Which binomial should we introduce?
Remember that the square of a difference is written as:
(a - b)^2 = a^2 - 2ab + b^2
Here we have the two terms:
0.01*b^2 + ... + 100c^2
We can rewrite the known terms as:
0.01*b^2 = (0.1*b)^2
100*c^2 = (10c)^2
Then our expression becomes:
(0.1*b)^2 + ... + (10c)^2
And the missing term must be:
-2*(0.1b)*(10c) = -2bc
Then the complete expression is:
(0.1b)^2 - 2bc + (10c)^2 = (0.1b - 10c)^2
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A town’s population of children increased from 376 to 421 during the past year.Which equation shows how to find the percent increase?
A. p=(421−376)/376
B. p=(421−376)/421
C. p=376/(421−376)
D. p=(376+421)/376
The percentage increase in the population of the chilrden since past year is 11.96%.
What is Percentage ?
A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.
According to the question, the town's population of children increased from 376 to 421 during the past year.
So, the increase in the population of the children is-
Increase =421-376
Increase =45
Now, the percentage increase in population of the children per year is calculated as-
Percentage Increase [tex]$=\frac{\text { Increase }}{376} \times 100 \%$[/tex]
Percentage Increase [tex]$=\frac{45}{376} \times 100 \%$[/tex]
Percentage Increase [tex]$=0.1196 \times 100 \%$[/tex]
Percentage Increase [tex]$=11.96 \%$[/tex]
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word problem for 3x + 5=20
Answer: A gym membership cost 3 dollars a month. There is an initial fee of $5. How many months would you need to be paying for the membership to have spent 20 dollars?
Step-by-step explanation:
3x+5=20
3x=15
x=5
5 Months
Rewrite in simplest terms 5(-9q+7)-3(5q+5)
Answer:
-60q+20
Step-by-step explanation:
A tricycle has 3 wheels. How many wheels are there on 4 tricycles
Answer:
12
Step-by-step explanation:
3*4=12