The amount can be calculated using the formula
[tex] A=P( 1+\frac{r}{100})^t [/tex]
Here P is the Principal ,r is the rate of interest and t is the formula .
In the given question P=$1200 ,r=5% ,t= 4 years.
Substituting these values in the formula
[tex] A=1200( 1+\frac{5}{100} )^4 [/tex]
[tex] A=1200(1.05)^{4} [/tex]
A=1458.60
Amount of monthly payment=[tex] \frac{1458.60}{12} =121.55 [/tex]
The amount of your monthly payment is $121.55.
I need help on any of these y’all can help on. Plzzz. (points)
Explain how you can determine that the following system has one unique solution – without actually solving the system. 2x+y=4 , 2y=6-2x
Answer:
Both equations has different slope , so the system of equation have one unique solution.
Step-by-step explanation:
[tex]2x+y=4[/tex] , [tex]2y=6-2x[/tex]
To determine that the system of equation has unique solution, we need to find out the slope.
To find slope, we write the equation in the form of y=mx+b
Where m is the slope and b is the y intercept
[tex]2x+y=4[/tex]
Subtract 2x on both sides
[tex]y=-2x+4[/tex]
here, m= -2 is the slope
[tex]2y=6-2x[/tex]
Divide both sides by 2
[tex]y=3-x[/tex]
[tex]y=-x+3[/tex]
Slope m = -1
Both equations has different slope , so the system of equation have one unique solution.
A can of juice has a radius of 7 inches and a height of 9 inches. What is the volume of the can?
Answer:
Step-by-step explanation:
A tube has a radius of a 9 inches and a height of 7 inches. What's its approximate volume
PLz help i need to pass
Answer:
[tex][2, 7][/tex]
Step-by-step explanation:
5 + p = 2p + 3
- 2p - 2p
______________
5 - p = 3
-3 - 3
________
2 - p = 0
-2 - 2
________
-p = -2
2 = p [Plug this back into both equations above to get the n-term of 7]; 7 = p
I am joyous to assist you anytime.
A scatter plot is shown below: Which two ordered pairs can be joined to draw most accurately the line of best fit on this scatter plot? (1 point) (4, 9.5) and (10, 5.5) (5, 0) and (10, 10) (0, 6) and (5, 0) (0, 9.5) and (10, 1.5)
A store is selling candy for $6 for 12 bags how much will it cost if you need to have 110 bags
Is 6,200 ft. grater than less than or equal to 1ml. 900 ft.
1 over 4a = 2 over 3. Which of the following equals a in this equation?
1/6
3/8
11/12
2 and 2/3
Answer:
2 and 2 over 3 is the Correct Answer
Step-by-step explanation:
I took the test and got the question wrong, I thought it was 3/8 but it wasnt, my test said the correct answer was 2 and 2 over 3 so I hope you get it right even though I didnt :)
The solution of the expression is,
⇒ a = 3 / 8
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;
The expression is,
⇒ 1 over 4a = 2 over 3.
Now, We can simplify as;
⇒ `1 / 4a = 2 / 3
⇒ 3 = 2 x 4a
⇒ 3 = 8a
⇒ a = 3 / 8
Thus, The solution of the expression is,
⇒ a = 3 / 8
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x+3y=0 9y=-3x how many solutions does this system have
The system of equations x + 3y = 0 and 9y = -3x is actually the same line, therefore there are an infinite number of solutions since the equations represent the same line with a slope of -3 and y-intercept of 0.
Explanation:The student has given the linear equations x + 3y = 0 and 9y = -3x. To determine how many solutions this system has, we need to normalize the second equation. If we divide the second equation by 9, we get y = -\frac{1}{3}x, which, when reorganized, becomes x + 3y = 0. These two equations are actually the same line. In other words, every solution of the first equation is also a solution of the second equation, and vice versa.
Therefore, the system of equations has an infinite number of solutions because the lines represented by these equations overlap; they are the same line. This is an example of a dependent system where both equations represent the same relationship between x and y. In graph terms, the slope (m) of both lines is -3, and their y-intercept (b) is 0. This is evident from both the algebraic expression of the equations and from their graphical representation.
The system of equations has one solution.
Explanation:The given system of equations is:
x + 3y = 0
9y = -3x
To solve this system, we can use the second equation to express y in terms of x.
Dividing both sides of the second equation by 9, we get:
y = (-3/9)x
Simplifying, we have:
y = (-1/3)x
We can observe that the equations of the lines represented by both equations in the system have the same slope, which is -1/3.
Since the lines have the same slope but different y-intercepts (0 for the first equation and 0 for the second equation), they will intersect at exactly one point, resulting in one solution for the system of equations.
John works at a car dealership that sells domestic and foreign cars. John makes 6% commission on domestic cars and 4% on foreign cars he sells. If John sold 4 domestic cars for $24,000 each, 2 domestic cars for $9,000 each, and 2 foreign cars for $13,500 each, what is his commission for the month?
anyone know the answer?
a + bc when a = 16, b = 64, and c = 8.
Find the volume of a rectange 9 in., 3 in., 6 in.
A machine can produce 6 yards of fabric in 2 minutes.how much fabric can the machine produce in 1 hour
The quantity of fabrics the machine can produce in 1 hour given the ratio is 60 yards
How to solve using ratio?let
x = quantity of fabrics produced in 1hr
conversion of time
60 minutes = 1 hourRatio of fabrics to time taken
6 : 2 = x : 60 minutes
6/2 = x / 60
cross product6 × 60 = 2 × x
120 = 2x
x = 120/2
x = 60 yards
Therefore, the quantity of fabrics the machine can produce in 1 hour given the ratio is 60 yards
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A googol is the number 1 followed by one hundred zeros.How many zeros would the number with a value that is 1/10 the value of a googol have?show your work or explain your reasoning?
A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?
How do you solve -32=-4b
Which r-value suggests a strong negative correlation? A. r=0.97351 B. r= -0.27331 C. r= -0.97351 D. r= 0.27331
Who else has to do IXL it sucks
Two things: first, who invented the calculator? Second, just wanted to let everyone know that I'm online. Can help with a wide variety of things, but when it comes to math, I can only help with algebra 1 and simple geometry and below (pre algebra, 7th grade math, 6th grade math, 5th grade math, etc.) I'm also great most other subjects
Chris needs 3 1/2 cups of flour. His only clean measuring cup holds 1/3 cup. how many 1/3 cups of flour does Chris need?
To find the number of 1/3 cups of flour Chris needs, we need to divide the total amount of flour needed by the amount that can be measured with the 1/3 cup measuring cup. In this case, Chris needs 28 1/2 cups of flour.
Explanation:To find the number of 1/3 cups of flour Chris needs, we need to divide the total amount of flour needed (3 1/2 cups) by the amount that can be measured with the 1/3 cup measuring cup.
To do this, we convert the whole number 3 to thirds by multiplying by 3, which gives us 9 thirds. Then we add the 1/2 cup, which is equivalent to 3/6 or 6/12. So, the total amount in thirds is 9 + 6/12 = 9 1/2 thirds.
Now, we divide the total number of thirds by the number of thirds in one 1/3 cup.
9 1/2 thirds ÷ 1/3 third/cup = (9 1/2) ÷ (1/3) = (19/2) ÷ (1/3) = 19/2 × 3/1 = 19/2 × 3/1 = 57/2 = 28 1/2 cups.
How would 5,608,912,013 be written in word form? A. five million, six hundred eight thousand, nine hundred twelve, thirteen B. five million, six hundred eighty-nine thousand, twelve hundred, thirteen C. five billion, six hundred eight million, nine hundred twelve thousand, thirteen D. five billion, six hundred eighteen million, nine hundred twelve thousand, thirteen
5(1x + 7)= 30 what is x
What is (-34) divided by (1.2) rounded to the nearest hundredth
Will 4in. 3in. and 5in. form a triangle?
A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and bleacher tickets sold for 40 cents each, how many of the bleacher tickets were sold?
Let x and y represent the number of grandstand and bleacher tickets sold respectively.
We know that the total number of tickets sold is 5716. Therefore, we will get the equation:
x+y = 5716
Therefore, x=5716-y.............................(Equation 1)
Now, we also know that the total value of tickets sold is $3416.90 or 341690 Cents.
We also know that the price of one grandstand ticket is 65 Cents. Thus, the price of x grandstand tickets will be 65x cents.
Likewise, since the price of one bleacher ticket is 40 cents, the price of y bleacher tickets will be 40y cents.
The information presented above gives us:
65x+40y=341690..........................(Equation 2)
Substituting x from (Equation 1) to (Equation 2) we get:
[tex] 65(5716-y)+40y=341690 [/tex]
Let us solve the above equation for y.
[tex] 65\times 5716-65y+40y=341690 [/tex]
[tex] 371540-25y=341690 [/tex]
[tex] \therefore 25y=371540-341690=29850 [/tex]
[tex] y=1194 [/tex]
Therefore, the total number of bleacher tickets sold was 1194.
please help me, thanks.
Write -1/14, 7/9, -4/5 in order from least to greatest.
A. -1/14, 7/9, -4/5
B. 7/9, -4/5, -1/14
C. -4/5, -1/14, 7/9
D. -1/14, -4/5, 7/9
Answer:
Your Answer will be
-4/5 , -1/14 , 7/9
GradPoint Answer
Graph the system of equations. {2x−y=4x−y=−2 Use the Line tool to graph the lines.
Hear hear! For I have brought you the correct answer... (I took a "snip" of it so you can't see the entire graph but you can see the whole answer.)
By plotting the lines 2x - y = 4 and x - y = -2 using a graphing tool or on graph paper.
To graph these lines, you can start by rearranging them into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
For 2x - y = 4:
-y = -2x + 4
y = 2x - 4
This equation has a slope of 2 and a y-intercept of -4.
For x - y = -2:
-y = -x - 2
y = x + 2
This equation has a slope of 1 and a y-intercept of 2.
Now, you can graph these lines on a coordinate plane by plotting the y-intercepts and using the slopes to find additional points.
Once you have the two lines graphed, their point of intersection represents the solution to the system of equations.
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MATH HELP LEASE! WILL GIVE BRAINLIEST!
What is the measure of AC?
Enter your answer in the box.
Answer:
The measure of AC is 41°
Step-by-step explanation:
Given : ∠ABC = (4x-3.5)°
Arc AC = (4x+17)°
An inscribed angle: An angle with its vertex on the circle and whose sides are chords.
The intercepted arc : The arc that is inside the inscribed angle and whose endpoints are on the angle.
The Inscribed Angle Theorem : The measure of an inscribed angle is half the measure of its intercepted arc.
Uisng the theorem
[tex]\angle{ABC}=\frac{1}{2} \text{arc(AC)}[/tex]
[tex](4x-3.5)^{\circ}=\frac{1}{2} (4x+17)^{\circ}[/tex]
[tex]2*(4x-3.5)^{\circ}= (4x+17)^{\circ}[/tex]
[tex]8x-7= 4x+17[/tex]
[tex]4x=24[/tex]
[tex]x=\frac{24}{4}[/tex]
[tex]x=6[/tex]
So, Arc AC = (4x+17)° = (4*6+17)° = (24+17)° = 41°
Hence the measure of AC is 41°