Answer:
67.2
Step-by-step explanation:
64 - 21 = 43
43/64 × 100 = 67.188
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Complete question :
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Set up an equation such that Tn represents the total amount Simon still owes after n months.
Calculate the amount Simon still owes at the end of one year after his purchase.
Answer:
Tn = 2900 - 180(n - 1)
Tn = $920
Step-by-step explanation:
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Hence,
Tn = 2900 - 180(n - 1)
Amount owed at the end of one year after purchase :
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is :
Tn = 2900 - 180(n - 1)
Tn = $920
"To understand the calculation, check below."
InterestWhat all information we have ?
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Tn = 2900 - 180(n - 1)
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is Tn = $920.
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i am in middle school
Answer:
1. The 12 pack
2. Sargento cheese slices
Step-by-step explanation:
1.
1.80×2=3.60
2.
2.48/10 = .248 → .25
Ramon owed $850.00 on his car loan. Two months later, he owed $510.00
on the loan. By which percent did Ramon's car loan amount decrease?
Answer:
40%
Step-by-step explanation:
(850-510)/850 = 340/850 = 2/5 = 40%
Answer: 40% I looked it up
Step-by-step explanation:
Help me!! ASAP!! Plss just help me :( I will give u BRAINLYEST!!
Come up with a real world situation that would involve finding the area of a circle.
A computer software company models its profit with the function P(x) = -x2 + 15x – 34 where x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars. How many games must the company sell to get $16,000 in profit?
Step-by-step explanation:
A computer software company models its profit with the function :
[tex]P(x) = x^2 + 15x -34[/tex] ....(1)
Where
x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.
We need to find the number of games the company sell to get $16,000 in profit.
Put P(x) = 16,000 in equation (1).
[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]
Using quadratic formula with a=1, b=15, c=-16034.
[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]
Neglecting negative value,
No of games = 134 (approx)
Plzz help me ill give u brainlist
Answer:
B. A 100° angle
Step-by-step explanation:
Im pretty sure its an 100 degree angle :)
B.
3 = m/12
What is m?
It is for math
Answer:
m is equal to 36.
Step-by-step explanation:
To get rid of division, all you need to do is multiply both sides of the equation by the denominator, which is 12 in this case:
[tex]3 = \frac{m}{12}\\\\3 \times 12 = \frac{m}{12} \times 12\\\\36 = m[/tex]
So m is equal to 36
State all the integer values of x in the interval -2 ≤ x ≤ 4 that satisfy the following inequality 5x+5 ≥3
Answer:
0, 1, 2, 3, 4
Step-by-step explanation:
solving 5x + 5 ≥ 3 we get x ≥ -2/5
all values above, and including, zero are solutions
Geometry: If you are right I'll give brainliest
Answer:
Step-by-step explanation:
Looks like we both struggle with geometry
20 points Help I will mark brainliest
Answer:
The answer ia option 2
Step-by-step explanation:
When a line is parallel to the other line, they will have the same slope (gradient).
The new equation will be y = (1/4)x + b.
Next, you have to find the value of b, by substituting the coordinates into the equation :
[tex]y = \frac{1}{4} x + b[/tex]
[tex]let \: x = - 4,y = - 2[/tex]
[tex] - 2 = \frac{1}{4} ( - 4) + b[/tex]
[tex] - 2 = - 1 + b[/tex]
[tex]b = - 1[/tex]
Graph the system of linear inequalities.
y > 3x + 2
y ≤ 3x − 4
Step-by-step explanation:
this is what i according to the calculator
(HELP NEEDED PLEASE) A claw arcade machine contains stuffed animals and mystery boxes. There are 44 items in the machine. Winning a stuffed animal has three times as many favorable outcomes as winning a mystery box. How many of each item is in the machine?
Solve the System of Equations -4x + 9y = 14 12x - 10y = - 8
Answer:
(1, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-4x + 9y = 14
12x - 10y = -8
Step 2: Rewrite Systems
-4x + 9y = 14
Multiply everything by 3: -12x + 27y = 42Step 3: Redefine Systems
-12x + 27y = 42
12x - 10y = -8
Step 4: Solve for y
Elimination
Combine 2 equations: 17y = 34Divide 26 on both sides: y = 2Step 5: Solve for x
Define equation: 12x - 10y = -8Substitute in y: 12x - 10(2) = -8Multiply: 12x - 20 = -8Isolate x term: 12x = 12Isolate x: x = 1Step-by-step explanation:
HERE,
two equation are,
●-4x+9y=14••••••••••••(equation I)
●12x-10y=-8•••••••••••(equation II)
First multiplying 3 in equation I
we get,
[tex]\bold{3×(-4x+9y=14) }[/tex]
=[tex]\bold{ -12x+27y=42 }[/tex]••(equation III)
Then,
we combine the equationii and equation III.
we get that,
[tex]\bold{12x-10y-12x+27y=-8+42 }[/tex]
[tex]\bold{\cancel{12x}-10y\cancel{-12x}+27y=-8+42 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{17y=34 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ y=\dfrac{34}{17} }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\boxed{ y=2 }[/tex]
Then,
put the value of y in equation II.
WE get,
[tex]\rightsquigarrow[/tex] [tex]\bold{12x-10×2=-8 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x-20=-8 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=-8+20 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=12 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ x=\dfrac{12}{12} }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\boxed{ x=1 }[/tex]
So,
solution of the two equation (-4x+9y) and (12x-10y=-8) is (1,2)
subject: [Mathematics]
Since the rational numbers are in parenthesis next to each other it means you have to multiply both of the numbers together.
______________________________________Hope this helped at least a little bit!~
Also fun fact!
Your a beautiful person, and worth so much.
You deserve the world and more!
So please don't let anyone say otherwise, there are so many people in this world who love you.
And if someone can't see your beauty then their rather blind or your just to bright for them!
Your amazing, so keep on with life, stay strong, and live long because I love you!
Answer:
-12.98
Step-by-step explanation:
Uhhhhh.... I dunno lol
Find the slope of the line that passes through (9,4) and (4,11)
Help cri cri will give brainly
Answer:
7/6
Step-by-step explanation:
trust me i promise this is right
A tire has a radius of 12 in. If that tire makes one full rotation how far does it travel?
5 rotations?
10 rotations?
Help
i need help with this (introduction to prove triangles congruent using sss or sas)
Answer:
Below:
Step-by-step explanation:
Given:
Line QR≅Line SR
Line PQ≅Line PS
Reflexive Property:
Line RP≅Line RP
SSS Theorem:
ΔPQR≅ΔPSR
Lisa has 24 flowers stickers, 18 animal stickers and 30 star stickers. She wants to arrange all the stickers in to books.Each book has the same number of stickers and the same type of sticker how many stickers can be in each book?
Answer:
The number of stickers that would be in each book is :
3 animal stickers, 4 flower stickers, 5 star stickers
Step-by-step explanation:
Lisa has 24 flowers stickers, 18 animal stickers and 30 star stickers.
We solve this above question, using the Greatest Common Factor Method
We find the factors of 24, 18 and 30
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Then the greatest common factor is 6.
We are told that: Each book has the same number of stickers and the same type of sticker how many stickers can be in each book?
For animal stickers
18 animal stickers
= 18 animal stickers/6
= 3 animal stickers
For flower stickers
24 flowers stickers
= 24 flowers stickers/6
= 4 flower stickers
For animal stickers
18 animal stickers
= 18 animal stickers/6
= 3 animal stickers
For star stickers
30 star stickers.
= 30 star stickers/6
= 5 star stickers
Therefore, the number of stickers that would be in each book is :
3 animal stickers, 4 flower stickers, 5 star stickers
simplify 1+4/x / 1-16 x^2
1+4/x x + 4
------------ = -------------
1-16 x^2 x(-4x + 1) (4x + 1)
hope this helps, it probs won't but-
Answer: [tex]\frac{x+{4} }{x - 16x^{3} }[/tex]
Steps:
[tex]\frac{1+\frac{4}{x} }{1-16x^{2} }[/tex][tex]\frac{\frac{x}{x} +\frac{4}{x} }{(1-4x)(1+4x) }[/tex] (get common denominator (x) for top and factor bottom)[tex]\frac{x+{4} }{x(1-4x)(1+4x) }[/tex] (add numberator, then move x to denominator)[tex]\frac{x+{4} }{(x-4x^{2} )(1+4x) }[/tex] (multiply x and (1-4x) )[tex]\frac{x+{4} }{x+4x^{2} - 4x^{2} - 16x^{3} }[/tex] (FOIL denominator)[tex]\frac{x+{4} }{x - 16x^{3} }[/tex] (simplify)Sorry about the delay. Hope this helps!
ZX and zy are supplementary angles. zy measures 33°.what is the measure of ZX
Answer:
147°
Step-by-step explanation:
supplementary angles equal to 180° in total so...
180 - 33 = 147
whats 13/12 as a mixed number?
The required solution in mixed form is,
⇒ 1 1/12
We have to given that,
To change the fraction 13/12 into mixed number.
We know that,
Mixed fraction is written as,
a b/c
Where, a, b and c are whole number.
Here, Fraction is,
13 / 12
After divide,
1 1/12
Therefore, The required solution in mixed form is,
⇒ 1 1/12
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Determine the value of x.
Answer:
The value of x is 14.75 ⇒ (2)
Step-by-step explanation:
If the vertices of a quadrilateral lie on the circumference of a circle, then this quadrilateral is a cyclic quadrilateralIn the cyclic quadrilateral, every two opposite angles are supplementary (the sum of their measures is 180°)In the given figure
∵ The vertices of the quadrilateral BCED lie on the circumference of circle A
→ By using the 1st rule above
∴ BCED is a cyclic quadrilateral
∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED
→ By using the 2nd rule above
∴ m∠B + m ∠E = 180°
∵ m∠B = 6x + 10
∵ m∠E = 81.5°
∴ 6x + 10 + 81.5° = 180°
→ Add the like terms on the left side
∴ 6x + 91.5 = 180
→ Subtract 91.5 from both sides
∵ 6x + 91.5 - 91.5 = 180 - 91.5
∴ 6x = 88.5
→ Divide both sides by 6 to find x
∴ x = 14.75
Which statement can be used to disprove the conjecture?
Conjecture: The square of any integer is positive.
Answer:
conjecture= the subject
Romeo paid 380.75 in car repairs the sales tax is 7.5%. What is the total that Romeo has to pay
Step-by-step explanation:
Answer: $380.75x0.075%=28.55625 28.55625+380.75%-D409.30625 $409.30625 $409.31 Answer: $409.31
i need help with this
Answer:
We conclude that:
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}[/tex]
Least Common Multiple of x+4, x+6: (x+4) (x+6)
Adjusting fractions based on the LCM
[tex]=\frac{\left(x+2\right)\left(x+6\right)}{\left(x+4\right)\left(x+6\right)}-\frac{\left(x-1\right)\left(x+4\right)}{\left(x+6\right)\left(x+4\right)}[/tex]
since the denominators are equal, combine the fractions:
[tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
so the expression becomes
[tex]=\frac{\left(x+2\right)\left(x+6\right)-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]
[tex]=\frac{x^2+8x+12-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]
[tex]=\frac{x^2+8x+12-x^2-3x+4}{\left(x+4\right)\left(x+6\right)}[/tex]
simplify
[tex]=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
Therefore, we conclude that:
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
A line passes through the points (1, 10) and (0, 2). What is its equation in slope-intercept
form?
________the answer is Y=8X+2___________
Step-by-step explanation:
_
Help. I have a D in this class.
Complete the square to re-write the quadratic function in vertex form:
Answer:
y = (x - 4)² - 26
Step-by-step explanation:
To complete the square, all we need to do is take term -8x, and add enough to make the equation come out to the square of half that. Half of -8 is -4, so we need to add 26 to the equation to end up at 16:
[tex]y = x^2 - 8x - 10\\y + 26 = x^2 - 8x + 16\\y + 26 = (x - 4)^2\\y = (x - 4)^2 - 26[/tex]
Giving us the final result
Describe in words the translation represented by the vector (2. – 1).
A. 2 units to the right and Duunit down
B. 1 unit to the right and 2 units down
C. 2 units to the left and Duunit down
D. 2 units to the left and 1 unit up
George collects 25 baseball cards each month. How many cards will he have at the end of one year? Complete the equation to help you solve the problem. 25 × = n
Answer:300
Step-by-step explanation:
25 times 12