monthly payments for the student loan will be $212.66.
What is simple interest?
A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
The formula for simple interest is:
S = p*t*r/100
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
student loan totaling $63,800 when you graduate from college.
The interest rate is APR = 4%, and the loan term is 25 years.
S = 63,800*4*25/100 =63800
Monthly it will take 63800/12*25 = $212.66
Hence, monthly payments for the student loan will be $212.66.
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Given mn, find the value of x.
Since lines mn are parallel lines, the value of x is equal to 32°.
What is the Alternate Interior Angles Theorem?In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.
What is the Linear Pair Postulate?In Mathematics, the Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair.
By applying the Linear Pair Postulate to the two (2) angles on the straight lines cut by a transversal, we have the following:
x + 148° = 180°
x + 148° = 180°
x = 180° - 148°
x = 32°.
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2
Select the correct answer.
If the graph of f(x) = 4x is shifted 7 units to the left, then what would be the equation of the new grap
O A.
О в.
O C.
O D.
g(x) = 4(x-7)
g(x) = 4x + 7
g(x) = 4(x+7)
g(x) = 4x - 7
Reset
Next
If the graph of f(x) = 4x is shifted 7 units to the left then the equation be 4(x+7).
What is meant by translation?A translation in Euclidean geometry is a geometric transformation that shifts each point of a figure, shape, or space by the same amount in one direction. Another way to think of a translation is as the addition of a constant vector to each point or as a change in the coordinate system's origin.
A sort of transformation called a translation involves moving each point in a figure the same distance in the same direction.
Translation in geometry refers to shifting a shape into a different position without altering it in any manner. Shape translation is introduced to students in Year 5 by providing them shapes on squared paper, which must then be moved a specific number of squares up, down, left, or right.
1) {f(x) + a} is f(x) shifted up (a) units
2) {f(x) – a} is f(x) shifted down (a) units
3) {f(x + a)} is f(x) shifted left (a) units.
4) {f(x – a)} is f(x) shifted right (a) units.
Let the given function be f(x) = 4x
When exists shifted 7 units to the left, we should apply rule (3) where a = 7
f(x + 7) = 4(x+7) = 4x +28
Therefore, the correct answer is option c) g(x) = 4(x+7).
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Convert 1 centimeter into yards. Round your answer to the nearest hundredth.
One (1) centimeter into yards is equal to 0.01093613
What is centimeter?We should know that centimeter is defined as a metric unit of measurement used for measuring the length of an object.
It is written as cm.
A meter has 100 centimeters.
10 millimeters make one centimeter.
The centimeter can be written as cm.
While calculating the surface area of an object, the unit of measurement becomes cm².
While measuring the volume of an object, the unit of measurement becomes cm³.
1 centimeter converted into yard is 0.01093613
Yard [yd] to Centimeter [cm]
0.01 yd 0.9144 cm
0.1 yd 9.144 cm
1 yd 91.44 cm
2 yd 182.88 cm
3 yd 274.32 cm
5 yd 457.2 cm
10 yd 914.4 cm
20 yd 1828.8 cm
50 yd 4572 cm
100 yd 9144 cm
1000 yd 91440 cm
From the table above we notice that 1 centimeter converted into yard is 0.01093613
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The first of two numbers decreased by
five times the second number equals
-10. The first number decreased by two
times the second number equals -1.
Find the numbers.
The decreased numbers are first number is 2. and the second number is -9.
What is meant by equation?A mathematical statement that shows the equality of two mathematical expressions is the definition of an equation in algebra. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.A mathematical phrase with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10. The phrase "life's equation" actually refers to a challenge, slogan, focal point, or objective that we must overcome.x - y = 0
The first number decreased 5 times
-5 -y = -10
-y = -10 + 5
-y = -5
y = 5
The second number decreased 2 times
x - (-2) = -1
x + 2 = -1
x = -1 -2
x = -3
Now,
the first number is
-3 - 5 = -10
-8 = -10
10-8 = 0
2 = 0
the second number is
-3 - 5 =-1
-8 = -1
-8 +1 =0
-9 = 0
Hence, the answer is 2, -9.
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6x - 18 greater than or equal to 27.
X greater than or equal to __
Answer:
[tex]\boxed{\sf x\le \cfrac{15}{2}}[/tex]
[tex]\boxed{\sf x\le \:7.5}[/tex]
Step-by-step explanation:
[tex]\sf 6x-18\le \:27[/tex]
Add 18 to both sides.
[tex]\sf 6x\le \:45[/tex]
Divide both sides by 6:-
[tex]\sf \cfrac{6x}{6}\le \cfrac{45}{6}[/tex]
[tex]\sf x\le \cfrac{15}{2}[/tex]
or
[tex]\sf x\le \:7.5[/tex]
__________________
-Hope this helps!
Rewrite the expression 4(30+5) using the distributive property of multiplication over addition.
Group of answer choices
4(30+5)+4(30+5)
4(35)
4(30)+4(5)
4(305)
I need help ASAP I will mark whoever gets it right brainiest
The expression 4(30+5) rewritten using the distributive property of multiplication over addition is 4(30) + 4(5).
The correct answer choice is option C
What is distributive property?The distributive property states that multiplying the sum of two or more addends by a number gives equal result as multiplying each addend individually by the number and then adding the products together.
4(30 + 5)
= 120 + 20
= 140
4(30) + 4(5)
= 120 + 20
= 140
Therefore, 4(30) + 4(5) is equivalent to 4(30 + 5) using distributive property.
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what is the formula for the rate of interest of an investment compounded monthly?
Answer:
CI = Amount - Principal
CI = P (1+(r/12))121 - P
P= principal amount
r= interest rate
t= time
Step-by-step explanation:
The compound interest each month is calculated using the monthly compound interest method. Return on credit is another name for compound interest. Simple interest and compound interest are identical in the initial amount of time, however the variation starts with the following phase. It is characterized as interest on interest because starting with the second intermission, it is also computed on the revenue that was thus generated on the prior time frame.
The interest is accrued directly to the principle every month using a method called monthly compounding principal, often termed as interest-on-interest equation. The ultimate sum minus the principle sum is known as total compound interest.
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Find the value of x,yand z
The unknown angles of the quadrilateral are as follows:
x = 100°
y = 80°
z = 40°
How to find the angles of a quadrilateral?A quadrilateral is a plane figure that has four sides , and also has four corners or vertices. The sum of angles in a quadrilateral is 360 degrees. Examples of quadrilateral are parallelograms, rectangle, square, rhombus etc.
Therefore, let's find the angle x, y and z in the quadrilateral as follows:
x = 100 degrees(vertically opposite angles)
adjacent angles of the quadrilateral is supplementary.
Therefore,
100 + y = 180
y = 80 - 100
y = 80 degrees
Let's find z.
z + z + 100 = 180
2z = 180 - 100
2z = 80
z = 80 / 2
z = 40 degrees
Therefore,
x = 100 degrees
y = 80 degrees
z = 40 degrees
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Two trains leave the railroad station at noon. The first train travels along a straight track at 100 mph. The second train travels at 65 mph along another straight track that makes an angle of 130° with the first track. At what time are the trains 400 miles apart? Round your answer to the nearest minute.
The distance between the trains after 30 minutes is 28.96 miles.
How to find the calculation?In 30 minutes, the train traveling at 100 miles per hour traveled 50 miles.
A train traveling at 90 miles per hour has traveled 45 miles in 30 minutes.
It is possible to think of this as a triangle with sides of 50 and 45, and an angle of 35 degrees included.
Take into account a right-angled triangle with x as one of its acute angles.
The cosine formula is then cos x = (adjacent side) / (hypotenuse), where "adjacent side" refers to the side next to angle x and "hypotenuse" refers to the longest side (the side across from the right angle) of the triangle.
By using the cosine law,
c2=a+b+2+cosC or c2=50*45*cos35=2500+2025+4500*0.82=838.82(2dp)c= sqrt 838.82=28.96 miles.
The distance between the trains after 30 minutes is 28.96 miles.
The Complete Question is distance between the trains.
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Simply square root of 3/10
The square root of 3/10 is 0. 55
What is square root?The square root of a number is simply the the inverse operation of squaring that number. It is the value obtained with multiplying the number by itself.
It is determined by finding a number that when it is squared, gives the original number.
The square root of a number is also referred to as that factor of a number that when multiplied by itself gives the original number.
They are special exponents with squares.
Example:
If the square root of x is y, then x × x = y
It is represented with the symbol, √.
We have to calculate;
[tex]\sqrt{\frac{3}{10} }[/tex]
= √0. 3
= 0. 55
Hence, the value is 0. 55
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Ashley is having a party she’ll have 4 tables for every 8 guest complete the table showing the number of tables and guest
We can write the complete table as -
x {table} y {guests}
1 2
2 4
3 6
4 8
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Ashley is having a party she’ll have 4 tables for every 8 guest.
It is given that -
there are 4 tables for every 8 guest.
then on 1 table there would be (8/4) = 2 guests.
The linear equation guarding the table would be -
y = 2x
We can write the table as -
x {table} y {guests}
1 2
2 4
3 6
4 8
Therefore, we can write the complete table as -
x {table} y {guests}
1 2
2 4
3 6
4 8
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What is the LCD of fractions whose denominators are 27, 18, and36?
Answer: 9
Also could you mark my answer as brainliest? It helps and doesnt hurt
The Least Common Denominator (LCD) of fractions with denominators 27, 18, and 36 is 108. This is found by identifying the Least Common Multiple (LCM) of the three numbers, which is also 108.
Explanation:The LCD, or Least Common Denominator, of fractions whose denominators are 27, 18, and 36, is the smallest multiple that all three numbers have in common. In this case, the LCD is 108.
To find the LCD, you need to find the Least Common Multiple (LCM) of the denominators. The LCM of 27, 18, and 36 is 108.
Here's how:
First, find the multiples of the largest number, which in this case, is 36. The multiples of 36 are: 36, 72, 108, 144, etc.Then check which of these numbers is also a multiple of the other two numbers, 18 and 27. We find that 108 is a multiple of both 18 and 27.Therefore, 108 is the LCD of fractions whose denominators are 27, 18, and 36.
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ook at the shapes below to determine what attribute all of the shapes have in common.
An image shows a square, a right triangle, and a rectangle.
Which is another shape that could belong in the group?
A.
An image shows a parallelogram.
B.
An image shows a parallelogram.
C.
An image shows a trapezoid with two right angles.
D.
An image shows a trapezoid with no right angles.
Answer:
C
Step-by-step explanation:
Because the three shapes listed all have at least one right angle as a right angle triangle has one and a square and a rectangle both have two each
Write 1/4 pound for 4.50 as a unit rate
The unit rate is given by a quotient between the cost and the mass, the unit rate is 18 dollars per pound.
How to find the unit rate?We want to find the unit rate for the given item, where we know that:
1/4 pound costs $4.50
To find the unit rate, we need to take the quotient between the cost and the mass.
We will get:
U = $4.50/(1/4 lb)
U = $4.50*4 /lb
U = $18 per lb
So the unit cost is 18 dollars per pound.
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Combine like terms to simplify the expression5z+5-6z
The expression 5z + 5 - 6z is equivalent to the expression 5 - z.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 5z + 5 - 6z
Simplify the expression, then we have
⇒ 5z + 5 - 6z
⇒ 5 - z
The expression 5z + 5 - 6z is equivalent to the expression 5 - z.
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A racoon leaves her den and moves 30 m in 12 seconds. She stops for 15 seconds, then travels again
moving 45 m in 20 seconds. What is the racoon's average speed?
The average speed of the racoon is given by 1.28 m per second
What is Speed and Distance ?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number.
The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The length of the entire journey taken to go from one point to another is the distance traveled.
The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.
Total distance travelled = 15 + 45 m = 60 m
Total time of travel = 12 + 15 + 20 = 47 sec
Avewrage speed = Total distance / total time = 60/ 47 = 1.28 m/sec
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At Parkes Elementary School, there are 7 fourth‐grade classes with 19 students in each class. On Friday, 26 fourth‐graders brought lunch from home and the rest of the students bought lunch in the cafeteria. How many fourth-graders bought lunch in the cafeteria on Friday?
The number of fourth graders who bought lunch in the cafeteria is given by the equation A = 107 students
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The number of classes of fourth graders = 7 classes
The number of students in each class = 19 students
So , the total number of fourth graders = 7 x 19 = 133 students
And ,
The number of students who brought lunch from home = 26 students
Now , the number of students who bought lunch from cafeteria A = total number of fourth graders - number of students who brought lunch from home
Substituting the values in the equation , we get
The number of students who bought lunch from cafeteria A = 133 - 26
On simplifying the equation , we get
The number of students who bought lunch from cafeteria A = 107 students
Therefore , the value of A is 107
Hence , the number of students is 107 students
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Find the 52nd term of the arithmetic sequence -24, -7, 10, ...
The 52nd term of the arithmetic sequence -24, -7, 10, ..... is equal to 843.
How to calculate an arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
aₙ = a₁ + (n - 1)d
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.Next, we would determine the common difference as follows.
Common difference, d = a₂ - a₁
Common difference, d = -7 - (-24)
Common difference, d = -7 + 24
Common difference, d = 17
Substituting the given parameters into the formula, the 52nd term of this arithmetic sequence is given by;
a₅₂ = a₁ + (52 - 1)d
a₅₂ = -24 + (51)(17)
a₅₂ = -24 + 867
a₅₂ = 843.
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I need help please anyone ?!!!! Thank u:)))!!!<3
Answer:
3.52, 3.48
82.633, 82.632, 82.629
438.12, 437.96
8.45, 8.46,8.47,8.48,8.49,
ITS TIMED HELP ASAP PLES
What is the following product?
45
0 )
(2)
0 (-)
Answer:
Step-by-step explanation:
it's c
3^3 * 2^3*5
Two vessels are steaming eastward with the same speed. Vessel A departed from position
(83°16’N, 48°51’W), and Vessel B from position (32°43’N, 48°51’W). If they left their respective
ports at the same time, which vessel will reach the prime meridian first? Explain briefly your
answer.
When Vessel A and Vessel B start steaming at the same time and with same speed then Vessel B will reach the Prime Meridian first as it is at a closer distance to Prime Meridian.
What is distance?
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
The coordinates of position of Vessel A is = (83°16’N, 48°51’W)
The coordinates of position of Vessel B is = (32°43’N, 48°51’W)
The coordinates of position of Prime Meridian is = (0°0’N, 0°0’W)
First calculate the distance in kilometers for Vessel A.
From initial position (83°16’N, 48°51’W) to final position (0°0’N, 0°0’W) -
The distance in kilometers is 9516 km.
Now, calculate the distance in kilometers for Vessel B.
From initial position (32°43’N, 48°51’W) to final position (0°0’N, 0°0’W) -
The distance in kilometers is 6270 km.
The distance from Vessel A to Prime Meridian is greater than the distance from Vessel B to Prime Meridian.
Therefore, it can be seen that vessel B will reach the prime meridian first.
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Please help !! 15 points if answered!
Rectangle ABCD has vertex coordinates A(1, -2), B(4, -2), C(4,-4), and D(1,
-4). It is translated 1 unit to the left and 3 units up. What are the coordinates
of Br
A. (1,-1)
B. (7,-3)
C. (3, 1)
D. (5,-5)
Since the ABCD rectangle's vertex coordinates are A(1, -2), B(4, -2), C(4, -4), and D(3, 1), option c is accurate (1,-4)
what is rectangle ?You may also refer to it as a quadrilateral that is equiangular, meaning that each of its angles is equal. Another possibility for the parallelogram is a straight angle. Four of the sides of a square are of identical length. Four 90-degree vertices and equal parallel sides make up a rectangle-shaped quadrilateral. This leads to the term "equirectangular rectangle" occasionally being used to describe it. A rectangle is also referred to as a parallelogram due to the equal and parallel lengths of its opposite sides.
given
To find the coordinates, first subtract 1 from 4 to get 3 and then add 3 to -2 to get 1.
Since the ABCD rectangle's vertex coordinates are A(1, -2), B(4, -2), C(4, -4), and D(3, 1), option c is accurate (1,-4)
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
10.58
Step-by-step explanation:
We are here given a right angled triangle in which two of the sides are 16 and 12 and we are interested in finding the third side x . We will use Pythagoras theorem here according to which the sum of squares of base and perpendicular is equal to the square of hypotenuse. so that,
[tex]\longrightarrow\sf h^2 = p^2+b^2\\ [/tex]
[tex]\longrightarrow\sf x^2 + 12^2 = 16^2\\ [/tex]
[tex]\longrightarrow\sf x^2 = 256 - 144\\ [/tex]
[tex]\longrightarrow\sf x =\sqrt{ 112}=\boxed{10.58} [/tex]
and we are done!
-Rishabh
Answer:
[tex]x=4\sqrt{7}=10.6\; \sf (nearest\;tenth)[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]
From inspection of the given right triangle:
a = xb = 12c = 16Substitute the given values into Pythagoras Theorem formula and solve for x:
[tex]\implies x^2+12^2=16^2[/tex]
[tex]\implies x^2+144=256[/tex]
[tex]\implies x^2=112[/tex]
[tex]\implies x=\sqrt{112}[/tex]
[tex]\implies x=\sqrt{16 \cdot 7}[/tex]
[tex]\implies x=\sqrt{16} \sqrt{7}[/tex]
[tex]\implies x=4\sqrt{7}[/tex]
[tex]\implies x=10.6\; \sf (nearest\;tenth)[/tex]
Express sin
C
C as a fraction in simplest terms.
Using sine function: sin =opposite/hypotenuse
How to calculate C as a fraction in simplest terms?sin =opposite/hypotenuse
step1
example;
sin(60)=2.4/[tex]x[/tex]
[tex]x[/tex]=2.4/sin(60)
[tex]x[/tex]≈2.8
answer is 2.8
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what is truth..........................................................................................................................................
Answer:
nothing is truth
Step-by-step explanation:
because this world is like a circle
Please give me an answer it will be very appreciated
Regardless of the type of triangle, all triangles have internal angles that sum up to 180°. An isosceles triangle will have two equal-sized angles.
What is the size of angle triangle?The hypotenuse, or side across from the right angle, has a square whose length is equal to the sum of the squares of the other two sides in a right triangle, according to the Pythagorean theorem. In other words, if the hypotenuse's length is c and the lengths of the other two sides are a and b, then c2 = a2 + b2.
Whatever the type of triangle, all triangles have internal angles which sum to 180°. The two angles of an isosceles triangle will be equal in size. Every angle of an equilateral triangle is 60 degrees. The other two angles in a right-angled triangle will add up to 90° because the triangle has one angle that is 90°.
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After graduating from college you have your first job in your area of study and are making $115,000 per year.
You are paid once each month and decide to put 10% of each paycheck into your retirement account at the end of each month.
How much will you deposit into the accounteach month? Round to the nearest $1.
$ per month
For the parts below, use the rounded value for your deposit amount.
The investements that you chosen to invest in average 7% growth per year compounded monthly.
How much will you expect to have in the account in 30 years?
$
How much total money will you put into the account?
$
How much total growth/interest should you expect will you earn?
$
If you manage to save an additional $100 each month, how much will you have in the account after 30 years?
$
Answer:
$11,500 per year or $958.33 per monthThe amount of money you will have in your account in 30 years would be $1,311,715.94The total money you will put into the account is $3,465,000The total growth/interest you should expect to earn is $946,315.94If you manage to save an additional $100 each month, you will have $1,385,719.71 in the account after 30 years.
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
answer is 10
Step-by-step explanation:
Zoe has a drawer containing 5 pink socks and 7 blue socks. Without looking, she picks out a sock, puts it on her bed and takes out another sock. Given that she picks out two (response not displayed) socks that are the same colour, the probability that they are both blue given that they are the same color is
(simplified as fraction of possible)
The probability that they are both blue given that they are the same color is 7/22.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Total socks = 5 + 7 = 12
So, Probability of a blue socks = 7/12
and, the Probability of the second blue socks = 6/11
So, the probability of the 2 blue socks in a row
= 7 /12 x 6/11
= 7/22
Hence, the probability is 7/22.
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HELP ME OUT PLEASE!!!!!
The colors and fonts on a website are created with:
HTML
HTTP
CSS
JavaScript
The colors and fonts on a website are created with CSS.
In CSS, which colors are used?rgb: #FFC0CB in pink (255,192,203)
Rgb: #EE82EE Violet (238,130,238)
rgb, built-in color #FF0000 for red (255,0,0)
Rgb green #008000 (0,128,0) (0,128,0)
Orange in RGB. #FFA500 (255,165,0) (255,165,0)
Rgb, #FFFF00, Yellow (255,255,0)
Rgb, blue #0000FF (0,0,255) (0,0,255)
How does CSS color coding work?a visual representation of CSS colors
In CSS, hex values (or decimal digits) are most frequently used to represent color. Hex values are actually merely another method for expressing RGB values. Instead of three values ranging from 0 and 255, six hexadecimal numbers are used. Hex numbers run from 0 to 9 and from A to F.
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