Answer:
Parallelogram formula- 1/2 x base xheight
Step-by-step explanation:
Rebecca carries a balance on her credit card each month. Today is the first day of the new, 28-day billing cycle. The current balance is x and the APR is 24%. Rebecca is buying a friend an expensive gift that cost $1,400 that she plans to put on her credit card. this will be her only purchase this month, and she will be making this purchase on the last day of the month
Part A
If her Finance charge will be $51, write and solve an equation to determine her current balance on her credit card. Show work
Part B
How much in finance charges can she save by making the purchase on the last day of the billing cycle versus the first day of the billing cycle? Explain how you determined your answer
Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The billing cycle for the month = 28 days
Current beginning balance = x
Annual percentage rate (APR) = 24%
Monthly percentage rate (MPR) = 2% (24% ÷ 12)
Purchase on the last day = $1,400
Total finance charge for the month = $51
Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)
Finance charge for the beginning balance = $50 ($51 - $1)
The current beginning balance, x = $2,500 ($50 ÷ 2%)
Equation for current beginning balance, x = 51 - 1 ÷ 0.02
Total finance charge for the last-day purchase = $28 ($1,400 x 2%)
Savings in finance charge by purchasing on the last day = $27 ($28 - $1)
Hence, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.
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PLS HELP NEED ANSWERS QUICK WILL GIVE BRAINLIEST
Answer:
a- 10x^2 - 4x + 12
b- no, the first equation is −1/4⋅(5x^2+6x−24) and the second is -1/4⋅(10x^2+7x-24)
Step-by-step explanation:
m6th w6y
BRAINLIEST??
help help help me please
Answer:
the answer is B
Step-by-step explanation:
Como se dice 1.053.507 en letras?
un millon cincuenta y tres mil quinientos siete
Iris found a value of 1/64
when she evaluated an expression.
Which could have been the expression Iris evaluated? Check all that apply.
A.2-6
B.6-4
C.4-3
D.(one-half) Superscript negative 5
E.(one-fourth) Superscript negative 3
Answer:
A and C or 2-6 and 4-3
Step-by-step explanation:
Can someone help me with this question ?
Answer:
B. exponential
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
b. If 3:4 = x:24, Find the value of x.
Answer:
X= 18
Step-by-step explanation:
24/4=6 x 3= 18
Answer:
x=18
Step-by-step explanation:
3/4=x/24
3×24=4×x
72=4x
x=72/4
x=18
The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases. *
On solving the provided question, we can say that the spherical balloon's initial radius is 7 cm.; the final radius is 14 cm. ratio = (7/14) ^2 = 1:4
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.
The spherical balloon's initial radius is 7 cm.
The final radius is 14 cm.
ratio =
(7/14) ^2 = 1:4
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y = 130(0.45)x
What is the growth factor, decay factor, or slope?
What is the initial amount?
Blank 1:
Blank 2:
Answer:
initial amount is 130
decaying at 55%
Step-by-step explanation:
Please help I have a learning disablity and need help with this.
Use Distribute Property to rewrite the algebraic expression.
Please answer both parts
8(x + 7)
Answer here _____________
Use Distribute Property to rewrite the algebraic expression.
6(11 + x)
Answer here ____________
The value of 8(x + 7) is 8x + 56.
The value of 6(11 + x) is 66 + 6x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The distributive property of multiplication over addition states that,
a x (b + c) = a x b + a x c
Now,
8 x (x + 7)
= 8 x (x) + 8 x 7
= 8x + 56
6 (11 + x)
= 6 x 11 + 6 x (x)
= 66 + 6x
Thus,
The value is 8x + 56 and 66 + 6x.
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Need help With answer
Answer:
Step-by-step explanation:
from the graph we konw the ∠ABD=∠DBC, because ∠DBC=20, so ∠ABD=20
Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers,n,of hourse he could read on each of the 5 weekdays this week. The graph is shown. Which describes the solution set of the inequality? A. all whole-number values of n that are at least 1 B.all whole-number values of n that are greater than 1 C.all rational-number values of n that are at least 0.5 D.all rational-number values of n that are greater than 0.5
A statement which correctly describes the solution set of the given inequality include the following: C. all rational-number values of n that are at least 0.5.
What is a rational number?In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 12, 0.5, √16, etc.
Next, we would translate the word problem into algebraic inequality and then solve for the value of n as follows;
5n + 1.5 ≥ 4
Subtracting 1.5 from both sides of the algebraic inequality, we have:
5n + 1.5 - 1.5 ≥ 4 - 1.5
5n ≥ 2.5
Dividing both sides of the algebraic inequality y 5, we have:
n ≥ 2.5/5
n ≥ 0.5
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PLEASE HELP ASAP!!!!
Answer:
Pick the yellow one. It's hard to read what's written but the yellow is the closest to what I would have written myself.
Please please please help me I need it asap! Please!!
Point A, located at (-11, -7) on the coordinate plane, is reflected over the x-axis to form point B. Then point B is reflected over the y-axis to form point C.
What are the coordinates of points B and C?
A: Point B: (-11, 7) Point C: (11, -7)
B: Point B: (11, -7) Point C: (11, 7)
C: Point B: (11, -7) Point C: (-11, 7)
D: Point B: (-11, 7) Point C: (11, 7)
Answer:
D) I’m 100% sure it’s correct!
Step-by-step explanation:
You have $2500 and want it to grow to $3600 in 2 years , what compound interest rate (compounded annually ) do you need ?
Answer:
18.2%
Step-by-step explanation:
Given data
Principal= $2500
Final amount= $3600
Time = 2 years
Rate=???
The expression for the rate is given as
r= ln(A/P)/t
substitute
r= ln(2500/3600)/2
r= ln(0.6944)/2
r= -0.364/2
r= 0.182
Hence the rate is 18.2%
Write an equation that represents the line.
Use exact numbers.
slope
Answer:
y + 2 = (4/5)(x - 2)
Step-by-step explanation:
Two dots on the line are shown: (-3, -6) and (2, -2).
As we move from the first to the second, x (the 'run') increases by 5 and y (the rise) increases by 4. Thus, the slope of this line is m = rise / run = 4/5.
Using the point-slope formula y - k = m(x - h), we get:
y + 2 = (4/5)(x - 2)
How do you write an x-intercept as a point?
The X-intercept is the point where the line crosses the x-axis. This happens where the Y is equals to zero.
The point slope form of a line is an equation of the line that takes on the form y - y1 = m(x - x1). In this equation, m is the slope of the line, and (x1, y1) is a point on the line. The x-intercept of a line is the x-coordinate of the point where the line crosses the x-axis. This always happens at the point where y is equal to 0. Therefore, we find the x-intercept of a line in point-slope form by plugging y = 0 into the equation and then solving for x. The point-slope formula is composed of a specific point of coordinates and a slope indicating a type of change over a given variable, such as distance over time. It is said to be as the x-coordinate of a point where a line, curve, or surface intersects the x-axis.
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Please hurry, this is past due.Don’t answer if you don’t know.
Answer:
31.4cm
Step-by-step explanation:
Formula for circumference of a circle:
[tex]C = 2\pi r[/tex]
The radius of a circle is half of the diameter:
10/2 = 5
Plug in the values using 3.14 for pi:
C = 2(3.14)(5)
C = 31.4cm
Answer:
D. 70.39
Step-by-step explanation:
This is not a good question, but I will show you how to get the answer I chose.
Area = (pi)(r)^2
394.38 = (3.14)(r)^2
divide both sides by 3.14
125.598726 = r^2
take the square root of both sides
r = 11.207083...
rounded is 11.21
---------------------------
Circumference = (2)(pi)(r)
C = (2)(3.14)(11.207083)
C = 70.38
----------------------------------------
Here's why it's a bad question:
If the diameter is 10, the radius is half of that, = 5
Area = (pi)(r)^2
Area = (3.14)(5)^2
A = (3.14)(25)
A = 78.5
So the question says the diameter is 10, but if that's true, the area cannot be 394.38
Also, the circumference can be calculated as (pi)(diameter), so 3.14 x 10 = 31.40, which is not an answer option.
n^2-2n-3=0 complete the square method
Answer:
n = - 1 , n = 3
Step-by-step explanation:
n² - 2n - 3 = 0 ( add 3 to both sides )
n² - 2n = 3
to complete the square
add ( half the coefficient of the x- term)² to bpth sides
n² + 2(- 1)n + 1 = 3 + 1
(n - 1)² = 4 ( take square root of both sides )
n - 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 1 to both sides )
n = 1 ± 2
Then
n = 1 - 2 = - 1
n = 1 + 2 = 3
What’s the slope of the line graphed below?
Answer:
slope = (3/2)
Step-by-step explanation:
point 1: (-1, 1); Point 2: (1, 4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 4 - 1 3 3
----------- = ------------ = --------- = -------
x₂ - x₁ 1 - (-1) 1 + 1 2
I hope this helps!
a small toy car cost $3. a large toy car cost 5 times as much as the small one aron wants to buy one of each. which equation can he use to find the cost (a) of the two cars?
he is going to pay $3 for the small one
for the large one we have that it is 5 times ithe price of the small one so w gotta multiply 3 by 5 which gives us 15 dollars we add them 15+3=18 so he gotta pay $18 for both the small one and the large one
NEED HELP ASAPP 100 POINTSSS
Answer:
Statement 1) Corresponding angles
Statement 2) Congruent
Statement 3) 150 degrees
Statement 4) Vertical Angles
Statement 5) Congruent
Statement 6) 150 degrees
Statement 7) Alternate exterior angles
Statement 8) Congruent
Statement 9) Alternate Interior angles are congruent
Step-by-step explanation:
Explanation:
1) I've learned this before
2) Not all Corresponding angles are obtuse
3) Corresponding angles have the same measure
4) I've learned this before
5) Vertical Angles are congruent
6) Same reason as before
7) I've learned this before
8) Alternate Interior angles are congruent
9) I've learned this before
Please mark me the brainliest! Thank you!
Help plz! Show work also!! I need help ASAP!!
Step-by-step explanation:
13x-3= 3x+2 +55 (exterior angle is equal to the sum of 2 opposite interior angles)
or, 13x-3x=57+3
or,10x=60
x=60/10
x=6
FAB =13x-3
=13*6-3
=75
PLEASE HELP BETS ANSWER GETS CROWN THERE ARE 2 QUESTIONS
ANSWER LIKE THIS
Q1. ANSWER
Q2. ANSWER.
NO LINKS OR FILES PLEASEEEE. (btw this is my last one)
IM pretty sure its B.
Answer:
Q1 is Seth will have 10 more cards than Matt
Q2 is Chart B
Step-by-step explanation:
First let's find the equation of the lines and chart so we can extend the graph.
Seth's chart has the equation y = x × 4
Matt's graph has the equation y = x × 2 + 20
The extended graphs can be seen below in an attachment. If you want to make these graphs yourself, I suggest Desmos
So on week 15, Seth has 60 and Matt has 50
Find the difference by subtracting
60 - 50 = 10
The final answer is Seth will have 10 more cards than Matt
Question 2
A linear relationship is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
Now we need to find the equations of the lines and graph them.
I have found the equations of the line and graphed them which can be seen in an attachment below.
We need to find the that follows the correct equation y = mx + b.
This would be answer B.
Hope this helps!!
A scale drawing has a scale of 0.5 in =10 ft find the length
Answer: To find the length of an object in a scale drawing, you need to use the scale to convert the length on the drawing (measured in inches) to the actual length (measured in feet).
The scale of the drawing is given as 0.5 inches = 10 feet, which means that 1 inch on the drawing represents 10 feet in reality.
So, if the length of the object on the scale drawing is L inches, then the actual length of the object in feet would be:
Length (ft) = (Length (in) * 10 ft/0.5 in) = (L*20)
To find the actual length of the object in feet, you need to know the length of the object in inches from the scale drawing.
Once you have that measurement, you could then simply multiply it by 20.
Step-by-step explanation:
how to factor this polynomial : (x+3)-x(x^2+6x+9)
Answer:
u will multiply -x by the big bracket and rhen start cancelling and factor it by common numbers
Answer:
(x + 3)(- x² - 3x + 1)
Step-by-step explanation:
Given
(x + 3) - x(x² + 6x + 9) ← factor is a perfect square
= (x + 3) - x(x + 3)² ← factor out (x + 3) from each term
= (x + 3)(1 - x(x + 3))
= (x + 3)(1 - x² - 3x)
= (x + 3)(- x² - 3x + 1)
find the zeroes of the polynomial and verify the relations between coefficient and zeroes
3x²-x-4
Answer:
(-1) & 4/3
Step-by-step explanation:
Polynomial:3x² - x - 4
Sum = -1
Product = 3*(-4) = -12
Factors = -4 and 3 { (-4)*3 = -12 & (-4) + 3 = -1}
3x² - x - 4 = 3x² + 3x - 4x -4 {Rewrite the middle term using the factors}
= 3x(x + 1) -4(x + 1)
=(x + 1)(3x - 4)
x + 1 = 0 ; 3x - 4 = 0
x = -1 ; 3x = 4
x = 4/3
[tex]\sf Zeroes \ of \ the \ polynomial \ are \ (-1) \ and \ \dfrac{4}{3}[/tex]
Verification:
[tex]\sf 3x^2 - x - 4 = 0\\\\Divide \ the \ entire \ equation \ by \ 3\\\\\\\dfrac{3x^2}{3}-\dfrac{x}{3}-\dfrac{4}{3}=0\\x^2 - \dfrac{x}{3}-\dfrac{4}{3}=0[/tex]
Coefficient of x = sum of the zeroes
[tex]\sf = -1 + \dfrac{4}{3}\\\\=\dfrac{-3}{3}+\dfrac{4}{3}\\\\=\dfrac{1}{3}\\\\[/tex]
Constant = product of the zeroes
[tex]\sf = (-1)*\dfrac{4}{3}\\\\=\dfrac{-4}{3}[/tex]
Thus verified.
HELPPPPPP PLEASEeeeeeeeeeeeeee
A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.
How do you find the sides of a triangle?In a right triangle, the hypotenuse is the longest side, the "opposite" side is the one that faces a particular angle, and the "adjacent" side is the one that faces that angle.
Step 1: Simplify both sides of the equation.
[tex]$$4 g-6=8$$\\Step 2: Add 6 to both sides.$$\begin{aligned}& 4 g-6+6=8+6 \\& 4 g=14\end{aligned}$\\$Step 3: Divide both sides by 4 .$$\begin{aligned}& \frac{4 g}{4}=\frac{14}{4} \\& g=\frac{7}{2}\end{aligned}$$[/tex]
[tex]$g=3 \frac{1}{2}$[/tex]
Therefore, the correct answer is option a)[tex]$g=\frac{7}{2}$[/tex].
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Rashida keeps her collection of 96 books on three shelves
-there are 24 books on the first shelf
-there are x books on the second self
-the number of books on the third shelf is 3 times the number of books on the second shelf
what is the value of x the number of books on the second shelf
a 16
b 21
c 18
d 24
Hurry please!!! Fast response
Answer:
A.
[tex] SA= \frac{2}{3} \pi rl+16 \pi r^2[/tex]
Step-by-step explanation:
Surface area of the original cone
[tex] SA= \pi r l + \pi r^2... (1)[/tex]
When, radius is quadrupled and slant height is reduced to one sixth
[tex] i. e. \: \:r = 4r\: \: \&\:\: l= \frac{1}{6}l[/tex]
Plug the above values of r and [tex] l[/tex] in equation (1), new surface area becomes:
[tex] SA= \pi (4r)\times \frac{1}{6} l+ \pi (4r)^2[/tex]
[tex] SA= \frac{4}{6} \pi rl+16 \pi r^2[/tex]
[tex]\huge \purple {\boxed {SA= \frac{2}{3} \pi rl+16 \pi r^2}} [/tex]