Answer:
It will take approximately 25 months
Step-by-step explanation:
The amount owed on the credit card statement, P = $2,000
The interest rate of the credit on the credit card, r = 18.9%
The minimum monthly payment made, M = $100
The equal monthly installment formula is given as follows;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
Therefore, we get;
[tex]100 = \dfrac{2,000 \cdot \left(\dfrac{0.189}{12} \right) \cdot \left(1+\dfrac{0.189}{12} \right)^n }{\left(1+\dfrac{0.189}{12} \right)^n - 1} = \dfrac{2,000 \times\left(0.01575 \right) \cdot \left(1.01575 \right)^n }{\left(1.01575\right)^n - 1}[/tex]
100×1.01575ⁿ - 100 = 31.50×1.01575ⁿ
100×1.01575ⁿ - 31.50×1.01575ⁿ = 100
68.5×1.01575ⁿ = 100
1.01575ⁿ = 100/68.5
n = ln(100/68.5)/ln(1.01575) ≈ 24.21 (which is approximately 25 months, by rounding up to the nearest whole number)
Therefore, it will take approximately 25 months to pay off the credit card debt
help me brainliest and i willllll
Answer:
1/9
Step-by-step explanation:
You would multiply 1/3 by 1/3 since both of the spins are out of three for the probability of rolling on the same color two times.
HJ = 18 and MN = 28. Solve for LK
Answer:
LK = 38
Step-by-step explanation:
MN is the midsegment, and the midsegment is the average length of the top and bottom, so:
[tex]\frac{18 + LK}{2} =28[/tex]
solve for LK:
[tex]18+LK=56\\\\LK=38[/tex]
The sum of the first six terms of an A.P is 72 and second term is seven times the fifth term. find the first term and common difference.
Hello,
if A.P means arithmetic progression then
let's say a the first term and r the common difference.
[tex]\left\{\begin{array}{ccc}(a)+(a+r)+(a+2r)+...+(a+5r)&=&72\\a+r&=&7*(a+4r)\end{array}\right.\\\\\\\left\{\begin{array}{ccc}6a+15r&=&72\\6a+27r&=&0\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&\dfrac{-9}{2}*r\\-9r+5r&=&24\end{array}\right.\\\\\\\left\{\begin{array}{ccc}r&=&-6\\a&=&27\end{array}\right.\\\\[/tex]
Last year there were 221 students and 12 teachers at Hilliard School. This year there are 272 students. The principal wants to keep the same student to teacher ratio as last year. Which proportion can the principal use to find x, the number of teacher needed this year?
Answer:
3264:221
Step-by-step explanation:
If by last year there were 221 students and 12 teachers at Hilliard School, then;
221students = 12teachers
To find the equivalent ratio for 272students, we can say;
272students = x teachers
Divide both expressions
221/272 = 12/x
Cross multiply
221 * x = 272 * 12
221x = 3264
x = 3264/221
x = 3264:221
This gives the required proportion
In the given figure, ∠QPR = ?
Answer:
QPR=PRS(Being alternative Angel)
How many subsets can be formed from the set F?
Answer:
32
Step-by-step explanation:
I'm very confirm with my answer mark me as brainliest plsssss
PLEEAASSEEEE HELP ME. IM ABOUT TO GET A REALLY BAD GRADE AND MY PARENTS WILL GET SO MAD I REALLY NEED HELK PLEASW
An absolute value graph looks like a V. If the number attached to the x is positive, then the graph opens upwards. If the number attached to the x is negative, then the graph opens downwards.
In this case, the graph opens downwards.
To find the vertex, look at the |x - 1| part of the equation. This tells us that x is shifted 1 to the right (opposite of the sign). And, the 3 outside of the absolute value bars tells us that the graph is also shifted up 3. Therefore, the vertex is (1, 3).
Next, we need to figure out how to graph it. That's where the -2 in front comes in. We know the graph faces downwards already. So, from the vertex, we will go down 2 spaces and left or right 1 depending on the side you are working on. Continue this pattern just like you would graphing the slope of a regular line, but this one is two sided.
If you need to view the graph for further help, I would recommend an online graphing calculator such as Desmos.
Hope this helps!
What is the answer??
Answer:
80°
Step-by-step explanation:
Triangle ABC and CYZ are similar so the angles would also be same
The width of a rectangle is only 15% of its length. If the perimeter of the rectangle is 46, what is the length
Answer:
20 units
Step-by-step explanation:
Let the length be x. According to the question,
Length = xWidth = 15% of the length➝ Width = 15% of the length
➝ Width = 15/100x
➝ Width = 3/20x
We have the perimeter of the rectangle that is 46 units.
[tex]\longrightarrow \sf {Perimeter_{(Rec.)} = 2(L + W) } \\ [/tex]
[tex]\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\ [/tex]
[tex]\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\ [/tex]
[tex]\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{20x + 3x}{20} \Bigg \rgroup } \\ [/tex]
[tex]\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{23x}{20} \Bigg \rgroup } \\ [/tex]
[tex]\longrightarrow \sf {\dfrac{46}{2}= \dfrac{23x}{20}} \\ [/tex]
[tex]\longrightarrow \sf {23= \dfrac{23x}{20}} \\ [/tex]
[tex]\longrightarrow \sf {23 \times 20 = 23x} \\ [/tex]
[tex]\longrightarrow \sf {460= 23x} \\ [/tex]
[tex]\longrightarrow \sf {\cancel{\dfrac{460}{23}} = x} \\ [/tex]
[tex]\longrightarrow \underline{\boxed{ \bf {20\; units = x}}} \\ [/tex]
Therefore, length of the rectangle is 20 units.
solve the equation x + 5 = 12
Answer:
x = 7
Step-by-step explanation:
x + 5 = 12
Subtract 5 from both sides
5 - 5 cancels out
12 - 5 = 7
We're left with x = 7
Find the greatest common factor of the
following monomials:
12a^2, 32a^3
Answer:
4a^2
Step-by-step explanation:
GCF of 12 and 32 is 4.
GCF of a^3 and a^2 is a^2.
Therefore, the answer is 4a^2.
Solve for x. Round to the nearest tenth of a degree, if necessary.
Step-by-step explanation:
[tex] \tan(x \degree) = \frac{54}{32} \\ = \frac{3}{4} \\ x \degree = { \tan}^{ - 1} ( \frac{3}{2} ) \\ = 56.3 \degree[/tex]
The length of a small rectangular room is "6 more than the width" and the
area of the room is 27 square units. Which of the following represents the
dimensions of the room?
O 3 and 6
O 6 and 9
6 and 6
3 and 9
Solve each system of equations by substitution. Clearly identify your solution.
Answer:
No solutions.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x + 1
2x - y = 3
Step 2: Solve for x
Substitution
Substitute in y [2nd Equation]: 2x - (2x + 1) = 3[Distributive Property] Distribute negative: 2x - 2x + 1 = 3Combine like terms: 1 ≠ 3Answer:
The system has no solution.
Step-by-step explanation:
y = 2x + 1
2x - y = 3
substitute the given value of y into the equation 2x - y = 3.2x - ( 2x +1) = 3
Distribute minus sign.2x - 2x + 1 = 3
Combine like terms.1 ≠ 3
Since system has no solution for x, the system has no solution.
Which of the following is equivalent to the expression below?
2(-3x+1) – 4x
- -2x+2
- -10x+1
- 2x+1
- -10x+2
Answer:
[tex]\underline{\underline{ -10x +2}}[/tex]
Step-by-step explanation:
A expression is given to us and we need to simplify out the expression . The given expression is ,
[tex]\implies 2(-3x +1)-4x [/tex]
Open the brackets .
[tex]\implies -6x +2-4x [/tex]
Simplify the like terms .
[tex]\underline{\underline{ -10x +2}}[/tex]
Hence the correct option is (4) .
Select the correct answer.
The manager at a car dealership is tracking the selling prices of two different used car models. When the tracking began, the selling price of
model A was less than $8,000, and the selling price of model B was at most $10,000. The manager has determined that the price of model A is
decreasing at a rate of 12% each year, and the price of model B is decreasing at a rate of 15% each year.
Which system of inequalities can be used to determine after how many years, t, that the selling price, y, will be the same for both car models?
O A.
Ов.
Jy < 8,000(0.88)
y < 10,000(0.85)
Sy < 8,000(1.12)
y < 10,000(1.15)
9 < 8,000(0.88)
y < 10,000(0.85)
Sy < 8,000(1.12)"
1y 10,000(1.15)
Oc.
OD
Answer:it’s C
Step-by-step explanation:
The system of inequalities can be used to determine, if The selling price of model A was less than $8,000, The selling price of model B was at most $10,000, are x < 8000 × 0.88, and y < 1000 × 0.85.
What is the selling price?The selling price of a good or service is the final cost to the seller, or what the buyer actually pays. A commodity or service in a specific amount, weight, or measurement can be exchanged.
It is one of the most crucial things for a business to decide. It is significant since it determines whether it will survive. Sales of a product are directly impacted by its price.
Given:
The selling price of model A was less than $8,000,
The selling price of model B was at most $10,000,
The price of model A is decreasing at a rate of 12% each year,
The price of model B is decreasing at a rate of 15% each year,
Write the inequality as shown below,
Assume the selling price of A is x,
x < 8000
Assume the selling price of B is y,
y < 1000
The decreased selling price of A,
x < 8000 × (1 - 0.12) = x < 8000 × 0.88
The decreased selling price of B,
y < 1000 × (1 - 0.15) = y < 1000 × 0.85
To know more about the selling price:
https://brainly.com/question/29273267
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someone help me please with this algebra problem
Answer:
L=65-15d; continuous
Step-by-step explanation: L stands for the length of the leaf, 65 stands for the original length of the leaf(which will decrease), d stands for the days. the answer is L=65-15d continuous because the original size of the leaf when he bought it was 65(which can decrease over time), every afternoon he cuts the leaf by 15 (which means the size of the leaf is decreasing and by 15 every day) which gives me -15d, if he cuts the leaf by 15 every day and never changes the length of the cut then the function is continuous
NEED HELP ASAP what function is this??
Answer:
linear
Step-by-step explanation:
the graph in the above equation is linear function
PLZ I NEED ANSWER ILL GIVE BRAINLIEST
Answer:
c
Step-by-step explanation:
got it right
Answer:
y = 4x - 3
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-3) / 2 - 0
8 / 2
= 4
y = 4x + b
5 = 4(2) + b
5 = 8 + b
-3 = b
Using the segment addition postulate, which is true?
Answer:
I don't know your question sorry
PLEASE HELP!
y = 2x − 1
y = 4x - 5
solve both :)
Answer:
x=2
Step-by-step explanation:
We have
y = 2x-1
y= 4x-5
Therefore, as 2x-1=y=4x-5, we can say that
2x-1=4x-5
add 1 to both sides to make one side have only x components
2x = 4x-4
subtract 4x from both sides to separate the x components
-2x = -4
divide both sides by -2 to separate the x
x = 2
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(8,6) and (5,9)
Answer: 69, -69
Step-by-step explanation:
it is easy buddy not lies
Anelle is in charge of bringing in dry erase markers for everyone in her math group to use to work on a project. She brings 3 markers for each person in her group and 5 extra markers for everyone to share. If Janelle brings in 23 markers in all, which equation represents the information?
Answer:
3x + 5 = 23
Step-by-step explanation:
Let x represents the number of persons in her group.
Since she brings 3 markers for each person, then number of markers brought for persons in her group = 3x.
She brings 5 extra markers for each person to share.
Thus, total markers she brought is now;
3x + 5
She brought 23 markers in all.
Thus, equation that represents the information is;
3x + 5 = 23
Can someone help me with this math homework please!
Answer:
2nd option
{(-8, -2), (-4, 1), (0, -2), (2, 3), (4, -4)}
Step-by-step explanation:
For a function to exist, every value of input must have exactly one value of output.
The rest of the relations(1, 3, and 4) have 2 outputs for 1 input so they dont make a function.
Answer:
(B)
Step-by-step explanation:
If you noticed, all the other input values have one input value that has two output values. This doesn't represent a function. Only (B) has one output for each input.
Hope that helps (●'◡'●)
A company that manufactures hair ribbons knows that the number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation below.
x = 1,000 − 100p
At what price should the company sell the ribbons if it wants the weekly revenue to be $1,600? (Remember: The equation for revenue is R = xp.)
p = $ (smaller value)
p = $ (larger value)
Given:
The number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:
[tex]x=1000-100p[/tex]
To find:
The selling price if the company wants the weekly revenue to be $1,600.
Solution:
We know that the revenue is the product of quantity and price.
[tex]R=xp[/tex]
[tex]R=(1000-100p)p[/tex]
[tex]R=1000p-100p^2[/tex]
We need to find the value of p when the value of R is $1600.
[tex]1600=1000p-100p^2[/tex]
[tex]1600-1000p+100p^2=0[/tex]
[tex]100(16-10p+p^2)=0[/tex]
Divide both sides by 100.
[tex]p^2-10p+16=0[/tex]
Splitting the middle term, we get
[tex]p^2-8p-2p+16=0[/tex]
[tex]p(p-8)-2(p-8)=0[/tex]
[tex](p-8)(p-2)=0[/tex]
Using zero product property, we get
[tex]p-8=0[/tex] or [tex]p-2=0[/tex]
[tex]p=8[/tex] or [tex]p=2[/tex]
Therefore, the smaller value of p is $2 and the larger value of p is $8.
Between 20 to 35 degrees north latitude, and also between 20 to 35 degrees south latitude are found:
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Its area includes all Sahara's locations in North Africa, South Arabia, Iran's and Iraq's larger parts, North-Western India, California throughout the United States, South Africa but most of Australia.
Half-arid temperatures include places like the Utah, Montana, and Gulf Coastal regions of sagebrush. Also, it comprises regions in Iceland, Russia, Scandinavia, Greenland, and Northeast India. Semi-arid thankless than tube called per year of rain and up to 20 inches per year at much more than arid deserts.
Regions from of the latitude of 25° to 35° usually develop desert, because air sinks and is heated under pressures in this area. The world's dry and semi-arid desert regions are between 20°C and 35°C north latitude and between 20°C and 35°C South latitude.
Given the diagram below, solve for x. Enter only a number rounded to the nearest tenth
Answer:
x = 60 cm
Step-by-step explanation:
using Pythagoras theorem which states that:-
Hypotenuse (h)² = perpendicular (p)² + base (b)²
h = 100 cmb = 80 cmp = x100² = 80² + x²
100² - 80² = x²
10000 - 6400 = x²
3600 = x²
x = 60 cm
The following figures are not drawn to scale but AB and CD are straight lines. Find x:
Answer:
180=170+4x
180-170=4x
10=4x
2.5=x
what is the measure of 2?
Answer:
Value of x:
[tex]{ \tt{(7x + 1) \degree + (18x + 4) \degree = 180 \degree}} \\ { \tt{25x + 5 = 180}} \\ { \tt{25x = 175}} \\ x = 7[/tex]
Finding m‹2 :
[tex]{ \tt{m \angle2 = (7x + 1) \degree}} \\ { \tt{m \angle2 = (7 \times 7) + 1}} \\ { \bf{m \angle2 = 50 \degree}}[/tex]
Answer:
m∠2 = 50
Step-by-step explanation:
7x + 1 and 18x + 4 are angles in a linear pair.
Sum of linear pair angles is supplementary.
7x + 1 + 18x + 4 = 180
7x + 18x + 1 + 4 = 180
25x + 5 = 180
25x = 180 - 5
25x = 175
x = 175 / 25
x = 7
Substitute x = 7 in 7x + 1,
7x + 1
= 7 ( 7 ) + 1
= 49 + 1
= 50
7x + 1 and ∠2 are vertically opposite angles and vertically opposite angles are equal.
∠2 = 7x + 1
∠2 = 50
Una bañera en forma de trapecio tiene un area de 60 metro ademas se sabe que su base mayor es 3/2 mas grande que su base menor calcule la altura cuando la base menor es 18 metros
Respuesta:
3,2 metros
Explicación paso a paso:
Área del trapecio:
A = 1/2 (a + b) h
h = altura; ayb son las bases
Área, A = 60
Sea una base más pequeña = a = 18;
b = 18 + 3/2 = 19,5
La altura se puede calcular así;
60 = 1/2 (18 + 19,5) h
60 * 2 = 37,5 horas
120 = 37,5 h
h = 120 / 37,5
h = 3,2 metros