The monthly payment on a loan of $4,500 at 12% interest for a period of 48 months is: $128.34.
How to Calculate the Monthly Payment on a Loan?The monthly payment for a $4,500 loan at 12% interest for 48 months can be calculated using the formula:
M = P * (r(1 + r)^n) / ((1 + r)^n - 1)
Where:
M = the monthly payment
P = the principal (the amount of the loan)
r = the monthly interest rate (12% divided by 12 months)
n = the number of payments (48 months)
So the calculation is:
M = 4,500 * (0.01(1 + 0.01)^48) / ((1 + 0.01)^48 - 1)
This comes out to be $128.34.
Learn more about monthly payment on a loan on:
https://brainly.com/question/28106777
#SPJ1
I just need to know the value of s
Answer:
S = 25
Step-by-step explanation:
Since it's stated as a square, that means all sides equal each other
In other words;
s+50 = 3s
To get S alone, we will first subtract 50 on both sides
s = 3s-50
Let's now subtract 3s from both sides
s-3s = -50, aka -2s = -50
Changing those to positive, 2s = 50
Last step is to divide both sides by 2
s = 25
100 Points + Brainliest. Please take your time and answer correctly.
The y intercept has been moved down, and the g(x) graph is less steep than the f(x) graph.
What is meant by linear parent function?the fundamental duty of a family. Y = x or f(x) = x is the parent function for linear functions. Transformation: Modification of a figure's size or position. Child Function: The parent function is f(x) = x for all linear functions. y = x.
The simplest function in a family of functions that yet preserves the definition (or shape) of the entire family is known as a parent function in mathematics.
When the independent variable (often 'x') varies by a constant amount and the dependent variable (typically expressed by 'y') changes by a constant amount, the function is said to be linear.
Therefore, the correct answer is option C. The graph of g(x) is less steep than the graph of f(x) and the y intercept has been shifted down.
To learn more about linear parent function refer to:
https://brainly.com/question/12198807
#SPJ1
Harold brought two loaves of raisin bread to share with his friends. If there are 12 people total, including Harold, how much of the bread does each person receive?
A. 0.06
B. The decimal is 0.16 with 6 repeating.
C. 0.25
D. The term states the decimal 0.3 repeating.
a spherical balloon is filled with gas at a rate of 4 cm 3 /s . at what rate is the radius r changing with with respect to time when the volume v
The Radius r changing with respect to time when volume v is [tex]\frac{1}{9 \pi} \mathrm{cm} / \mathrm{s}\end{aligned}[/tex].
The volume here depends on the diameter of the radius of the sphere since if we take the cross-section of the sphere, it is a circle. The surface area of sphere is the area or region of its outer surface. To calculate the sphere volume, whose radius is ‘r’ we have the below formula:
Volume of sphere [tex]=\frac{4}{3} \pi r^{3}[/tex]
If you consider a circle and a sphere, both are round. The difference between the two shapes is that a circle is a two-dimensional shape and a sphere is a three-dimensional shape which is the reason that we can measure the Volume and area of a Sphere.
volume is,
[tex]$$\begin{aligned}& V=\frac{4}{3} \pi r^3 \\& \Rightarrow \frac{d V}{d t}=4 \pi r^2 \frac{d r}{d t}\end{aligned}$$[/tex]
given that,
[tex]\frac{dV}{d t}[/tex][tex]=4 \mathrm{~cm}^3 / \mathrm{s}, V=36 \pi \mathrm{cm}^3 \text {. }$$[/tex]
[tex]$$find $\frac{d r}{d t}$ :$$[/tex]
[tex]\begin{aligned}& V=36 \pi \\& \frac{4}{3} \pi r^3=36 \pi \\& r^3=27 \\& \Rightarrow r=3 .\end{aligned}[/tex]
substitute the above values,
[tex]$$\begin{aligned}& \frac{d V}{d t}=4 \pi r^2 \frac{d r}{d t} \\& 4=4 \pi(3)^2 \frac{d r}{d t} \\& \frac{d r}{d t}=\frac{1}{9 \pi} \mathrm{cm} / \mathrm{s}\end{aligned}$$[/tex]
Therefore, the radius r changing with respect to time when the volume v is [tex]\frac{1}{9\pi } cm/s[/tex].
For more such questions on volume of sphere:
https://brainly.com/question/9994313
#SPJ4
The equation of the line which passes through the point (0,-4) and has a gradient of 0. 5 is
The equation of the line which passes through the point (0,-4) and has a gradient of 0. 5 is (x-8)/2.
A straight line can be represented by the "Point-Slope" form of the line.
In point-slope form, we can deduce an equation of any line on the Cartesian coordinate system with the help of its slope/gradient "m" and a point through which it passes (x1,y1).
the equation of Point Slope form is,
(y-y1)=m(x-x1),
where, x and y are any general point on the line.
in the given question the value of the slope/gradient (m) is given as 0.5
and it passes across the point (0,-4)
so according to the equation of the point-slope form,
the equation of line must be,
(y-(-4))=0.5(x-(0))
= y+4=0.5x
= 2y+8=x
= 2y = x-8
= y = (x-8)/2
Learn more about the point-slope form on
https://brainly.com/question/29503162?referrer=searchResults
#SPJ4
Which value is equivalent to the expression 2power of 3 plus 3power of 4
Answer:
The value equivalent to the expression 2^3 + 3^4 is 19
What operation does the expression x + 5 involve?
Answer:
addition
Step-by-step explanation:
there's only one sign + so it means addition
Answer: addition
Step-by-step explanation:
On the number line, a slow bug S and a fast bug F are moving in the positive direction from the point 0. The speeds of both bugs are constant. Both leave 0 at the same time, and four seconds later F has reached 12 and S has reached 8. If x is the point reached by F after t seconds, and y is the point reached by S after t seconds, express x and y in terms of t PLEASE HELP I NEEd help
If x is the point reached by F after t seconds, and y is the point reached by S after t seconds, then x = 3t, y = 2t. 30 seconds after leaving point 0, 30 units far apart are F and S. At 100 seconds, F and S will be 100 units apart.
The speed of F reached 12 units in 4 seconds or 3 units per second.
x = 3t
The speed of S reached 8 units in 4 seconds or 2 units per second.
y = 2t
x - y = 3t -2t = t
After 30 seconds, the bugs will be apart by (x -y) = 30 units
x - y = 100 = t
After 100 seconds, The bugs will be 100 units apart.
To know more about speed, here
https://brainly.com/question/312131
#SPJ4
malik depoit 1,050 in a aving account and it earned 241.50 in imple interet after four year find the intreret rate on malik avinga account
The interest rate on Malik's saving account is 4.62%. This was calculated by finding the total amount after 4 years, subtracting the original deposit, and then dividing the interest earned by the original deposit and multiplying by 100.
1. Calculate the total amount in the account after 4 years: 1050 + 241.50 = 1291.50
2. Calculate the interest earned: 1291.50 - 1050 = 241.50
3. Calculate the interest rate: 241.50 / 1050 x 100 = 4.62%
The interest rate on Malik's saving account is 4.62%. This was calculated by finding the total amount after 4 years, subtracting the original deposit, and then dividing the interest earned by the original deposit and multiplying by 100.
Learn more about amount here
https://brainly.com/question/8082054
#SPJ4
15 first-year algebra students are learning how to solve two-step equations. the teacher notices that the students are not using precise mathematical language. which two instructional strategies should the teacher employ to encourage students to use precise mathematical language when completing this task? choose 2 answers
Solving an equation in algebra - mathematics will BOMDAS rule. Multiplication, division, addition, and subtraction are performed before.
However, in order to simplify things, if there are any exponential or logarithmic components, solve them first before applying BOMDAS to reduce them to a single solvable term. This is required by the rules.
So the list goes as
1. Exponents
2. Roots
3. Multiplication
4. Division
5. additional
6. Subtraction
However. Using a regular or scientific calculator will generate a lot of debate. A scientific calculator will adhere to the principles, while a typical calculator will evaluate from left to right or precisely the operator used first.
Using a scientific calculator, 5+2x3=11 instead of the normal one's 5+2x3=21.
Furthermore, the preferred behavior norm for division and multiplication is different.
Thus, people's difficulty with mathematics is not unjustified. The choice of how you want to approach it is ultimately up to you.
Know more about algebra
https://brainly.com/question/22399890
#SPJ4
gradient of 1 and passing through (0,4)
The equation of line with a gradient of 1 which runs through the point (0,4) is y = x + 4.
What is the equation of line with a slope of 1 and passing through (0,4)?The slope-intercept form is expresses as;
y = mx + b
Where m is slope and b is y-intercept.
The point-slope form is expressed as;
y - y₁ = m( x - x₁ )
Given that, the slope of the line m = 1 and it passes through (0,4)
Plug the slope m = 1 and point ( 0,4 ) into the point-slope form above and simplify.
y - y₁ = m( x - x₁ )
y - 4 = 1( x - 0 )
y - 4 = x - 0
y - 4 = x
Add 4 to both sides
y = x + 4
Therefore, the equation of the line is y = x + 4.
Learn more about equation of line here: brainly.com/question/2564656
#SPJ1
Several classes in your school are going on a field trip. To transport the students, the teachers rent buses and vans. A total of 120 students are going on this field trip. Each bus can seat 24 students, and each van can seat 8 students. (a) Write a linear equation that describes the relationship of the number of buses and the number of vans needed, assuming exactly 120 students need transportation. (b) If the teachers rent 4 buses, how many vans will they need to transport all the students? (c) If the teachers rent 6 vans, how many buses will they need to transport all the students? (d) Suppose the teachers rented only vans. How many vans would they need? Show your work, and explain your answer. (e) Suppose the teachers rented only buses. How many buses would they need? Show your work, and explain your answer.
a) A linear equation that describes the relationship between the number of buses and the number of vans needed for 120 students is 24x + 8y = 120.
b) If the teachers rent 4 buses, the number of vans they will need to transport all the students is 3.
c) If the teachers rent 6 vans, the number of buses they will need to transport all the students is 3.
d) If the teachers rent only vans, the number of vans needed will be 15.
e) Suppose the teachers rented only buses, the number of buses needed will be 5.
What is a linear equation?A linear equation is an algebraic equation of the form y = mx+b.
A linear equation involves a constant and a first-order (linear) term, with m as the slope and b as the y-intercept.
The total number of students on the field trip = 120
The number of students a bus can seat = 24
The number of students a van can seat = 8
Linear equation:Let the number of buses = x and the number of vans = y
24x + 8y = 120
b) Renting 4 buses, the number of vans needed:
24(4) + 8y = 120
96 + 8y = 120
8y = 24
y = 3
c) Renting 6 vans, the number of buses will be:
24x + 8(6) = 120
24x = 48 = 120
24x = 72
x = 3
d) Renting only vans, the number needed will be:
24(0) + 8y = 120
8y = 120
y = 15
e) Renting only buses, the number needed will be:
24x + 8(0) = 120
24x = 120
x = 5
Learn more about linear equations at https://brainly.com/question/28732353
#SPJ1
a car is traveling at a constant speed of 65 miles per hour. how many feet does it travel in 5 seconds?
Answer: 476.7 feet
Step-by-step explanation:
65 miles = 343200 feet
1 hour = 3600 seconds
(343200/3600) = 476.7 feet in 5 seconds
Write an expression that is equivalent to
5(3r-8). State the property that justifies
your answer.
Answer:
15r-40
Step-by-step explanation:
By the Distributive Property, [tex]5(3r-8)=5(3r)+5(-8)=15r-40[/tex]
Fill in the table using this function rule:
Y=-5x+3
X Y
-1 ?
0 ?
1 ?
2 ?
Answer:
X Y
-1 8
0 3
1 -2
2 -7
Step-by-step explanation:
Using the x values of the table, simply plug in those x values, replacing the x in the equation. For example:
y = -5x + 3
y = -5 * 2 + 3
y = -10 + 3
y = -7
Ski lift cables are strung to the top of a 1200 foot mountain. The angle of elevation of the cables is 30 degrees. How long are the cables?
The cable is 805.4 ft long.
Draw a triangle to represent the situation.
Label the sides of the triangle.
Let x = length of cable
Let 1200 = height of mountain
Let 30 = angle of elevation
Use the Law of Cosines to solve for x.
x² = (1200)² + (1200)² - (2)(1200)(1200)cos(30)
x² = 288000 + 288000 - 1,728,000cos(30)
x² = 576000 - 1,728,000cos(30)
x = √576000 - 1,728,000cos(30)
x = √576000 - 1728000(0.866)
x = √576000 - 1511360
x = √646340
x = 805.4 ft
To know more about elevation here
https://brainly.com/question/29477960
#SPJ4
3. According to one of Marvel's teachers, a typical learning-disabled student
a. is poor at sports.
b. has few talents.
c. has an IQ of normal or above.
d. has an IQ of normal or below.
According to one of Marvel's teachers, a typical learning-disabled student has an IQ of normal or above. Learning disabilities are not related to IQ, so a learning-disabled student could have an IQ of normal or above.
What is probability and its types? Probability is the measure of the likelihood that an event or a set of events will occur. It is a mathematical concept used to quantify the chance of a certain outcome. It is usually expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.There are two types of probability: classical probability and empirical probability. Classical probability uses a series of assumptions to calculate the probability of an event. It is based on the assumption that all outcomes are equally likely. Empirical probability is based on observed data and is used when the data is too complex to calculate using classical probability.Probability can be used to make predictions and decisions. For example, if a person is deciding whether or not to purchase a lottery ticket, they can use probability to calculate the chances of winning. Probability is also used in data analysis and forecasting to help make better decisions.Probability is an important concept in statistics and is used in a variety of fields including medicine, engineering, economics, and finance. It is an essential tool for understanding the world around us and making informed decisions.To learn more about probability refer to:
https://brainly.com/question/24756209
#SPJ1
Write a function rule for “the output is the square of the input”
Answer:
y=x^2
Step-by-step explanation:
What is the answer to question H?
The y intercept means that gallons of water in the base year is 10.
What is Y intercept?Y intercept is a coordinate of y which is the point where the line touches the Y axis.
The x coordinate corresponding to this point will be zero.
Given is a graph which relates the two variables year and the gallons of bottled water per person.
From the graph, it is clear that y intercept is at 10.
It is in the year 1990, which is the base value that we take.
All the other year values are based on the base value.
y intercept means in this context that in the year 1990, which is the initial year, gallons of water per person is 10.
To learn more about y intercepts, click on the link :
https://brainly.com/question/14180189
#SPJ1
HELP ME ASAPPPPP please make it right because i’m in so much trouble rn.
Simplify: 2 3/20 + 1/10
Answer: 2 1/4
Step-by-step explanation: Exact Form:
9/4
Decimal Form:
2.25
Mixed Number Form: 2 1/4
to raise money, a physics club sells tickets to a physics demo extravaganza. the tickets cost $6 for adults over 18 and $4 for younglings. after the show, they have raked in a total of $438 from the 82 people who came. how many adults and how many younglings attended?
There are 55 adults and 27 younglings attended the club.
let the number of adults attended the club be x
let the number of younglings attended the club be y
total people attended the club = 82
so,
x + y = 82.....[1]
cost for the adult = $6
cost for the younglings = $4
so total amount collected = $438
so, equation formed is ,
6x + 4y = 438.......[2]
from equation [1]
x + y = 82
x = 82 - y
put this in equation [2]
6(82 - y) + 4y = 438
492 - 6y + 4y = 438
492 - 2y = 438
492 - 438 = 2y
2y = 54
y = 27
put this value in equation [1]
x + y = 82
x + 27 = 82
x = 82 - 27
x = 55
so, there are 55 adults and 27 younglings attended the club.
Learn more about equation here :-
https://brainly.com/question/10413253
#SPJ4
five quare cake of ide 30cm i arranged to from a rectangle, Find the perimeter of the cake
The perimeter of five square and perimeter of rectangular cake is equal,
So, the perimeter of cakes is 600 cm.
The perimeter of a two-dimensional figure is the distance covered around it. It defines the length of shape, whether it is a triangle, square, rectangle or a circle. Area and perimeter are the two major properties of a 2D shape, which describes them.
We have five square cakes of side 30cm.
the perimeter of one cake is =4a
=4×30
=120 cm
So, the perimeter of five cake = 5(120)
=600 cm
The perimeter of five square and perimeter of rectangular cake is equal,
So, the perimeter of cakes is 600 cm.
learn more about perimeter.
https://brainly.com/question/6465134
#SPJ4
*
The equation p(n) = 12/5n²-17 represents the overall profit
from production for a company where p is the total profit
in dollars and n is the number of hours per day that
the production line operates. Determine the profit when
n = 101/2 hours.
The profit when n = 101/2 hours is $1,842.50.
Determine the profit when n = 101/2 hours.When the production line operates for 101/2 hours, the total profit can be determined using the equation p(n) = 12/5n²-17.When n = 101/2, the equation becomes p(101/2) = 12/5(101/2)²-17.By simplifying this equation, we can find that the total profit for 101/2 hours of production time is p(101/2) = $723.Therefore, when the production line operates for 101/2 hours, the total profit for the company will be $723.The equation p(101/2) = 12/5(101/2)^2 - 17 can be used to determine the total profit when the production line operates for 101/2 hours. To solve this equation, the expression 12/5(101/2)^2 can be simplified to 12(101)^2/25 which evaluates to 12,405. Subtracting 17 from this result yields a total profit of 12,388 dollars when the production line operates for 101/2 hours. The profit when n = 101/2 hours can be calculated by substituting the value of n into the equation p(n) = 12/5n²-17. This yields a total profit of $323.36 when the production line operates for 101/2 hours.To learn more about the overall profit from production refer to:
https://brainly.com/question/29159329
#SPJ1
What is in mathematics 24divided4x2-2=
Answer:
10
Step-by-step explanation:
PEMDAS
The equation m = 40g gives the distance in miles, m, that a car can travel using g gallons of gas.
a. If the car has gone 140 miles, how much gas was used? Show your thinking.
b. Write an equation that represents the inverse function: the gallons of gas as a function of distance in miles
The amount of gas used for 140 miles is 3.5 gallons and the inverse equation is g = m/40
How to determine the amount of gas usedFrom the question, we have the following parameters that can be used in our computation:
m = 40g
The number of miles is given as
m = 140
substitute the known values in the above equation, so, we have the following representation
40g = 140
Divide by 40
g = 3.5
Hence, the amount of gas is 3.5 gallons
How to determine the inverse functionRecall that, we have
m = 40g
Divide by 40
g = m/40
Hence, the inverse is g = m/40
Read more about inverse function at
https://brainly.com/question/3831584
#SPJ1
Number 14
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Answer: 14
Step-by-step explanation: your correct
A line passes through the points (-1,-9) and (1,7) write it’s equation in slope intercept form 
The equation of the line in slope intercept form is y = 8x -1.
What is slope intercept form?
The graph of the equation y = mx + b is a line with slope m and y-intercepts b. The form of the linear equation is called the slope-intercept form, and the values of m and b are real integers.
The slope, m, of a line indicates how steep it is. The gradient of a line is another name for the slope of a line. The y-intercept of a line is the y-coordinate of the location where the line's graph crosses the y-axis.
We are given two points which are (-1,-9) and (1,7).
First, we need to find the slope(m)
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]m=\frac{7 +9 }{1+1 }[/tex]
m = 16/2
m = 8
We know that b = y₁ - x₁(y₂ - y₁)/(x₂ - x₁)
So,
⇒b = (-9) + 1(7 + 9)/(1+1)
⇒b = -9 + 8
⇒b = -1
The equation comes out to be
⇒y = mx + b
⇒y = 8x -1
Hence, the equation of the line in slope intercept form is y = 8x -1.
Learn more about slope intercept form from the given link
https://brainly.com/question/1884491
#SPJ1
(2, -3) is a solution of the equation 3x - y = 3.
hi help pls n thanks
The function represents the domain of a function is x ≥ -2.
What is a graph of a quadratic function?
A graph of a quadratic function is a type of parabola, which is a symmetric, U-shaped curve that opens either upward or downward. The equation of a quadratic function is y = ax² + bx + c, where x and y are variables, and a, b, and c are constants.
The graph of a quadratic function is determined by the value of the coefficient a. If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The vertex of the parabola is the highest or lowest point on the graph and it is the point of symmetry of the parabola. The x-coordinate of the vertex is given by -b/(2a) and the y-coordinate of the vertex is given by the value of the function at that point.
In the given figure, we can see that it is a parabola, and if we look towards the options, then the third option is a domain of the given function
x ≥ -2
So we can say this is the perfect match for the given figure.
Hence, the function represents the domain of a function is x ≥ -2.
To learn more about the graph of a quadratic function, visit:
https://brainly.com/question/24191982
#SPJ1