The closest among the choices is Choice C. $105. Differences in amount may vary in the rounding off of the decimal numbers.
The complete question is given below as:-
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Marcia currently uses.
Card A
Card B
Amount
$1,879.58
$861.00
APR
14%
10%
Monthly Payment
$43.73
$18.29
After 5 years, how much will Marcia have saved in interest by consolidating the two balances?
a.
$1,526.40
b.
$2,422.80
c.
$105.00
d.
$227.40
What is income?The amount received by an employee by giving the service or work to any frim will be termed as the income.
Given:
Card A - 1,879.58 ; APR 14%; monthly -43.73
Card B - 861.00 ; APR 10% ; monthly -18.29
5 years x 12 months/yr = 60 months.
Card A = 43.73 x 60 = 2,623.80
Card B = 18.29 x 60 = 1,097.40
Total : 2,623.80 + 1,097.40 = 3,721.20
Lowest APR is 10%. monthly rate: 0.83%
Total Card balance: 1,879.58 + 861 = 2,740.58
A = P * (r(1+r)^n) / [(1+r)^n -1]
A = 2,740.58 * [0.0083 (1.0083)^60] / [(1.0083)^60 - 1]
A = 2,740.58 * 0.014/0.64
A = 2,740.58 * 0.022
A = 60.29 monthly payment.
60.29 x 60 = 3,617.40
Separate cards: 3,721.20
Consolidated: 3,617.40
Difference: 103.80
Therefore closest among the choices is Choice C. $105. Differences in amount may vary in the rounding off of the decimal numbers.
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There are two pieces of wires, each of length 66 cm. One wire is bent into a square and the other wire is bent into a circle. Find (a) the area of the square, (b) the area of the circle.
Answer:
Area of Circle = 346.5 cm².
Area of square = 272.25 cm ² .
Step-by-step explanation:
So , 2πR = 66
2 × 22 / 7 × R = 66
R comes out is 21/2 cm .
Area of Circle = 22/7 × 21/2 × 21/2 = 33×21/2
= 693 / 2 = 346.5 cm².
If bent into the shape of a square ;
4 a = 66
a = 33/2 . ( Side of a square )
Area of square = a ² = 33×33/4 = 1089/4
= 272.25 cm ² .
guys please help me outttt
ANSWER :-
There are total 8 types of pets represented by the dot plot . They are :
2 rabbit6 dog3 cat2 horse5 bird1 mouse3 fish1 otherWhich pet is the most popular ?ANSWER :-
Dog is the most popular pet
HOPE THIS HELPS :)Step-by-step explanation :
Liza's classmates have owned two rabbits , six dogs , three cats , two horses , five birds , one mouse , three fishes and one other pet.
Therefore,
There are 8 type of pets owned by dot plot.Now, we can easily count or see the pet which is in larger quantity as compared to others.
So the most popular pet owned is dog.
Find the value of x. (4x-101) (2x+3)
A. 31
B.107
C.52
D.46
(4x−101)(2x+3)
Apply the distributive property by multiplying each term of 4x−101 by each term of 2x+3.
8x²+12x−202x−303
Combine 12x and −202x.
8x²−190x−303
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the value of x in [tex]\mathrm{(4x-101)(2x+3)}[/tex].
◈ Note:
⇛ We can't find the value of x, but we can simplify this expression.
This is how we'll simplify it:
◆ Multiply 4x times 2x and 3 first:
[tex]\large\pmb{4x\times2x=8x^2}[/tex]
[tex]\large\pmb{4x\times3=12x}[/tex]
Add the terms:
[tex]\large\pmb{8x^2+12x}[/tex]
Now, do the same thing with -101 - multiply that times 2x and 3:
[tex]\large\pmb{-101\times2x=-202x}[/tex]
[tex]\large\pmb{-101\times3=-303}[/tex]
Add the terms:
[tex]\large\pmb{-202x-303}[/tex]
Put all 4 of the terms together:
[tex]\large\pmb{8x^2+12x-202x-303}[/tex]
Combine like terms (12x and -202x):
[tex]\large\pmb{8x^2-190x-303}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
all trigonomic equations are identities true or false
Answer:
False
Step-by-step explanation:
because trigonometric identities are true for ALL angles, whereas trigonometric equations are NOT true for ALL angles.
The statement "all trigonometric equations are identities" is false.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
Trigonometric equations can be identities or conditional equations. An identity is an equation that is true for all values of the variable(s) involved. Examples of trigonometric identities are sin²θ + cos²θ = 1 and tanθ = sinθ/cosθ.
On the other hand, conditional equations are true only for certain values of the variable(s) involved. For example, sinθ = 0 has solutions only at θ = nπ, where n is an integer.
Therefore, not all trigonometric equations are identities. Some are conditional equations that are true only for specific values of the variables involved.
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math sos help please.
[tex](\frac{4m^5n^2}{m^2n})^3 = (\frac{4m^5n^2}{m^2n})(\frac{4m^5n^2}{m^2n})(\frac{4m^5n^2}{m^2n})[/tex]
---Essentially, we're taking the given expression and multiplying it by itself three times. So, we can solve the problem by multiplying fractions or simply distributing the 3 to each term. Remember, we will be multiplying the existing exponents by the 3, not adding 3.
[4^3 m^15 n^6] / [m^6 n^3]
---Now, we need to simplify the expression. Since there are 15 m's on the top, and 6 m's on the bottom, we can take 15 - 6 to now have only 9 m's on the top.
64 m^9 n^3
Answer: A
Hope this helps!
What is the value of m in the equation m-n=16, when n = 8?
20
32
44
48
Answer: 24
Step-by-step explanation:
m - 8 = 16
m = 24
Answer:
24
Step-by-step explanation:
To find the value of "m", you need to plug n = 8 into the equation.
m - n = 16 <---- Original equation
m - 8 = 16 <----- Plug 8 in for "n"
+ 8 + 8 <---- Isolate "m" by adding 8 to both sides
m = 24 <----- Final answer
and final part sorry brainly
Answer:
15 2/3
Step-by-step explanation:
4 2/3 = 14/3
11 = 33/3
14/3 + 33/3 = 47/3
47/3 = 15 2/3
Select the best method of finding an accurate solution to a system of linear equations.
Answer:
Substitution. Substitution is a good method to use when one of the variables is isolated in the equation or the coefficient of one of the variables is 1 or -1. When you isolate that variable to substitute into the other equation, you will not be introducing additional fractions into the problem.
Which of the following statements about the triangle shown above is true? . The triangle is scalene. The triangle is an equilateral triangle in which the length of all three sides is 10. . The triangle is an isosceles triangle in which two sides are of length square root 61. The triangle is an isosceles triangle in which two sides are of length 5.
Answer:
B isosceles with sides sqrt (61)
Step-by-step explanation:
Find the two sides' lengths via pythagorean theorem to be
sqrt ( 5^2 + 6^2) = sqrt (61)
Write the expression in repeated multiplication form. Then write the expression as a power.
(6^4)^2
The expression in repeated multiplication form is
The expression as a power is
Answer:
6^8
Step-by-step explanation:
(6^4)(6^4)
6^8
or something like that
Marquis is starting a fast food job during his senior year of high school. he lives with his parents and they will claim him as a dependent on their taxes this year. he earns $2000. based on how he completed his w-4, his employer withheld $200 in federal income taxes from his paychecks. what will happen if marquis doesn't file taxes in april?
*
nothing will happen, but marquis will miss out on his potential refund.
the irs will refund his $200 directly to him.
the irs will refund his $200 to his parents.
the irs will fine marquis $75 or more for not filing taxes.
What will happen if marquis doesn't file taxes in April is that; nothing will happen, but marquis will miss out on his potential refund.
What is the impact of withholding taxes?
Withholding in this regards by his employers simply means how much is being taken out of your paycheck in taxes.
Now, withholding tax is basically an advance payment of income tax which may be used to offset or reduce tax liabilities. In this case, since the employer has withheld $200 in federal income taxes from his paychecks, what it means is that if he doesn't file taxes in April, nothing will happen, but he will miss out on his potential refund.
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what is the slope of the line graphed below?
Answer:
5
Step-by-step explanation:
the gradient is 5
change in Y over change in X
1. ¿Cuál es la altura del asta bandera, si a
cierta hora del dia el ángulo que forma el
extremo de su sombra con la punta del asta
mide 37°?
37°
20 m
The height of the was determined using SOH CAH TOA. Because we have the Adjacent angle and the base of the phenomenon, the height of the triangle is
What is SOH CAH TOA?The SOH CAH TOA simply means:
Sin A = Opposite/Hypothenuse
Cos A = Adjacent / Hypothenus
Tan A = Opposite /Adjacent
SolutionNote that we have the base as 20 meters and Adjacent angles "A" as 37°.
Given that
Tan A = Opposite /Adjacent; we have
Tan 37° = Opposite (Height)/ 20 meters (Adjacent)
0.7536 = Height/ 20
Make Height the subject of the formula by multiplying both sides by 20.
Hence,
Height = 0.7536 * 20
= 15.072
≈ 15m
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given that y= 6 cm and θ= 32 °, work out x rounded to 1 dp.
(not drawn to scale)
X=7.1cm
The solution is in the attached file
f(x) = x+3
g(x)=2x² - 4
Find (f g)(x)..
OA. (f.g)(x) = 2x³ - 12
B. (f g)(x) = 2x³ + 12
c. (f.g)(x) = 2x³ + 6x² - 4x-12
OD. (f.g)(x) = 2x³ + 6x² + 4x+12
Answer:
I got 2x^3+3x^2-4x-12
Step-by-step explanation:
I hope this helps a little bit
PLEASE HELP ME WHOEVER HELPS I WILL MARK BRAINLEST :)
Remember the shortcut way for graphing quadratic equations
A quadratic function has graph as parabolaHence on both sides of vertex the parabola is symmetric and axis of symmetry is vertex x values .y on both sides for -x and +x is same#1
y=2(x-3)²-1Vertex
(h,k)=(3,-1)As a is positive parabola facing upwards
Find y for same x distance from vertex
I took 3-1=2 and 3+1=4
f(2)=2(2-3)²-1=2(-1)²-1=2-1=1f(4)=2(4-3)²-1=1Now plot vertex and these two points (2,1) and (4,1) on graph then draw a parabola by freehand
#2
y=(x-2)(x+4)y=x²+4x-2x-8y=x²+2x-8Convert to vertex form
y=x²+2x+1-9y=(x+1)²-9Vertex at (-1,-9)
Same take two equidistant x values
Let's take -1-1=-2 and -1+1 =0
f(-2)=(-2+1)²-9=1-9=-8f(0)=(1)²-9=-8Put (-1,-9),(-2,-8),(0,-8) on graph and draw a freehand parabola
#3.
Yes it can be verified by finding the coordinate theoretically on putting them on function then can be verified through putting them on graph whether they matches or not
8) can u answer this question pls
Answer: 346.19cm²
Step-by-step explanation:
π= 3.14
Divide 21 (the diameter) by 2 to get the radius( it 's half of the diameter). so the radius is 10.5
Area= πr²
= 3.14x10.5x10.5
= 346.185
So next round up the value you got to the nearest tenth, so when u round up to the nearest tenth you get 346.19
If f(x) and f¹(x) are inverse functions of each other and f(x) = 2x+ 5, what is ƒ˜¹ (8) ?
If f(x) and f¹(x) are inverse functions of each other then value of ƒ˜¹ (8) = 3/2.
What is Function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
We have,
f(x) = 2x + 5
Let us consider f(x) as y
So, y= 2x + 5
Now replace x to y and y to x
x= 2y+ 5
Solving for y we get
2y = x - 5
y = (x - 5)/2
[tex]f^{-1[/tex](x) = (x - 5)/2
Now, [tex]f^{-1[/tex](8) = (8 - 5)/2
[tex]f^{-1[/tex](x) = 3/2
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Statement
4x = 7x - 21
Reason
?
Answer:
solution;
21=7x-4x
21=3x
21x/3x
Then finalay aneswer is 7x
fashoo G-looks brosay
Answer:
what are you talkin bout fam? you speakin gibberish rn
Step-by-step explanation:
What is the distance between the points located at (5, 1) and (10, 11) ?
[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]
[tex] \sf \red{What \: is \: the \: distance \: between \: the \: points \: located \: at \: (5, 1) \: and \: (10, 11) ?}[/tex]
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
Let, the points be A(5,1) and B(10,11) on the number line.
Here,
[tex]x_{1}[/tex] = 5. [tex]x_{2}[/tex] = 10
[tex]y_{1}[/tex] = 1. [tex]y_{2}[/tex] = 11
We,know that to find distance between two points, the formula is:
[tex] \sqrt{( {x}_{2} - {x}_{1})^{2} + ( {y}_{2} - {y}_{1} )^{2} } \\ \\ = \sqrt{(10 - 5) ^{2} + (11 - 1)^{2} } \\ \\ = \sqrt{ ({5)}^{2} + ( {10})^{2} } \\ \\ = \sqrt{25 + 100} \\ \\ = \sqrt{125} \\ \\ = 11.18[/tex]
Therefore, the distance between the two points (A) and (B) is 11.18
[tex] \boxed{ \frak \red{Hope \: it \: helps \: you}}[/tex]
Please help me identify the graph
Answer: F
Step-by-step explanation:
We know the angle is in the first quadrant, so its argument is in between 0 and 90 degrees.
This eliminates D and E.Also, its modulus is the distance from the origin, which in this case is [tex]\sqrt{3^2 + 1^2}=\sqrt{10} \approx 3.16[/tex]
The answer that best matches this is F
A grain silo can be modeled as a right cylinder topped with a hemisphere. Find the volume of the silo if it has a height of 41 m and a diameter of 12 m. Round your answer to the nearest tenth if necessary. (Note: diagram is not drawn to scale.)
The volume of the silo = volume of the hemisphere + volume of the cylinder ≈ 4,410.8 m³.
What is the Volume of a Hemisphere and Cylinder?Volume of a hemisphere = 2/3πr³
Volume of cylinder = πr²h
The volume of the silo = 2/3πr³ + πr²h
r = 12/2 = 6 mh = 41 - 6 = 35 mPlug in the values
The volume of the silo = 2/3π(6³) + π(6²)(35) ≈ 4,410.8 m³
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Answer:
989.6 m^3
Step-by-step explanation:
refer to images hope this helps x
mplete the solution of the equation. Find the
ue of y when x equals 0.
- 3x + 2y = -4
Enter the correct answer.
18
DONE
all
000
+?
Answer:
-2
Step-by-step explanation:
If x=0
-3(0)+2y=-4
-0+2y=-4
We can say
2y-0=-4
2y=-4
Dividing both side by 2,
y=-2
3. There are 1800 students in a school, out of which 950 are girls and the rest are
boys. If 40% of the girls and 30% of the boys come to school by public transport,
find the number of students who come to school through other modes of
transportation?
The number of students who come to school through other modes o transportation is 1,165.
How do we solve a percentage problem?The number of students who come to school through other modes o transportation can be calculated as follows:
A = Number of girls that uses other modes o transportation = (100% - 40%) * 950 = 570
B = Number of boys that uses other modes o transportation = (100% - 30%) * (1800 - 950) = 595
C = Total number of studens that uses other modes o transportation = A + B = 570 + 595 = 1,165
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Julian has partially filled the prism below with 16 unit cubes.
A rectangular prism with a length of 4, height of 3, and width of 3.
How many more unit cubes will he need to completely fill the prism?
11
20
25
36
He needs 20 more unit cubes to completely fill the prism
How to determine the number of unit cubes?The dimension of the prism is given as;
4 by 3 by 3
The volume is calculated as:
Volume = 4 * 3 * 3
Volume = 36
He has already filled 16 units.
So, the units remaining is
Remaining = 36 - 16
Evaluate
Remaining = 20
Hence, he needs 20 more unit cubes to completely fill the prism
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During a sale, a store offered a 10% discount on a camera that originally sold
for $430. After the sale, the discounted price of the camera was marked up by
10%. To the nearest whole number, what percent of the original price was the
price after markup?
Answer:
$4,30 that is the answer I'd my working on paper
Answer:
425.70
Step-by-step explanation:
Cecilia made an envelope to mail a letter. She colored the regular trapezoid flap on the bottom of the envelope blue,
shown.
5 in.
2 in
9 in.
What is the area of the blue flap of the envelope?
O 14 in 2
O 18 in 2 45in2. 90in2
Answer:
14 inch ^2
Step-by-step explanation:
Area of a trapezium= (a+b) 2 times h
so side a= 5 inches
side b= 9 inches
then times by 2 times the height (2)
you can rearrange the formula to this- a + b/ 2 times height.
5+9/2 times 2= 14
I hope this helps, have a lovely day.
(0.6.01) The probability that an event will occur is 2/3. Which of these best describes the likelihood of the event occurring?
A. Likely
B. Certain
C. Unlikely
D. Impossible
the right answer of this question is
C. unlikely
In the fall of 2003, a magazine article reported that about 87% of adults drink milk. A local dairy farmers' association is planning a new marketing campaign for the tri-county area they represent. They randomly polled 800 people in the area. In this sample, 654 people said that they drink milk. If 87% is the correct percentage of adults who drink milk, what is the probability that the association would observe 654 or less people who drink milk in the sample
Using the normal distribution, it is found that the probability that the association would observe 654 or less people who drink milk in the sample is of 0%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].For the binomial distribution, the parameters are given as follows:
n = 800, p = 0.87.
Hence, the mean and the standard deviation of the approximation are given by:
[tex]\mu = np = 800 \times 0.87 = 696[/tex][tex]\sigma = \sqrt{np(1-p)} = \sqrt{80 \times 0.87 \times 0.13} = 9.5121[/tex].The probability that the association would observe 654 or less people who drink milk in the sample, using continuity correction, is [tex]P(X \leq 654.5)[/tex], which is the p-value of Z when X = 654.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{654.5 - 696}{9.5121}[/tex]
Z = -4.36
Z = -4.36 has a p-value of 0.
0% probability that the association would observe 654 or less people who drink milk in the sample.
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