Paying off the lowest outstanding balance credit card first can be beneficial for motivation and momentum, even if it's not the most mathematically efficient approach.
Explanation:When paying off credit card debt, it can be beneficial to start by paying off the credit card with the lowest outstanding balance. This approach is called the Snowball Method and is popularized by financial expert Dave Ramsey. The Snowball Method focuses on tackling the smallest debt first, regardless of the interest rate, as it provides a psychological boost and motivates individuals to continue paying off their debts.
By paying off the smallest debt first, you can quickly eliminate one of your credit card balances. This can give you a sense of accomplishment and momentum to continue paying off your other debts. It's important to note that while the Snowball Method may not be the most mathematically efficient approach in terms of saving on interest payments, it can be effective in helping individuals stay motivated and committed to paying off their debts.
There are 6 speakers at a conference: Ms. Sally, Ms. Elaine, Ms. Boo-Koo, Mr. Adam, Mr. Jones, and Mr. Tall. In how many ways can we order the speakers so that Mr. Adam doesn’t speak first?
What is the quotient of
13
÷
8
? Leave your answer as a mixed number
Help me ASAP!!! THANKS!
RANDOM ANSWERS WILL BE MODERATED!
Mario bought a shirt priced at $ 24.99 and a pair of pants priced at $ 39.99. For these items, he paid a total of $ 69.53 , sales tax included. What was the sales tax rate?
24.99 + 39.99 = 64.98
69.53-64.98 = 4.55
4.55/69.53 = 0.0654 = 6.5% sales tax
Sarah draws a rectangle with an area of 4,875 square units and a length of 65 units. What is the width of the rectangle? 70 units 75 units 85 units 95 units
Find the area of the triangle. Round the answer to the nearest tenth.
A.
68.4 square units
B.
75.3 square units
C.
84.5 square units
D.
136.7 square units
Answer:
Option A. 68.4 square units.
Step-by-step explanation:
Since sides ED = EF = 13 units
So the given triangle is an isosceles triangle and in an isosceles triangle EFD, perpendicular drawn from E to DF, will be perpendicular bisector of DF.
Moreover, to this perpendicular bisector to DF will be the height of the triangle.
Now Area of a triangle of [tex]\frac{1}{2}[/tex] × base × height.
Sin 63 = [tex]\frac{Height}{Hypotenuse}[/tex] = [tex]\frac{h}{13}[/tex]
h = 13 sin 63 = 13 ( 0.891) = 11.583 units
Cos 63 = [tex]\frac{Base}{Hypotenuse}[/tex] = [tex]\frac{Base}{13}[/tex]
Base = 13 cos 63 = 13 × (0.454)
= 5.90 units
Since DF = 2 × base = 2 × 5.90
= 11.80 units
Now area of EDF = [tex]\frac{1}{2}[/tex] × 11.80 × 11.583
= 68.86 ≈ 68.40 square units.
Option A. 68.4 square units.
Makhaya is required to spend more than 300 minutes to complete assignments, and he can use at most 20 paper sheets. Let W denote the number of writing assignments he completes and M the number of math assignments he completes.
Write an inequality that represents the condition based on the number of minutes.
Write an inequality that represents the condition based on the number of paper sheets.
urgent help needed!
write y = (-5/8)x + 3 in standard form using integers.
a. 5x + 8y = -24
b. 5x + 8y = 24
c. 5x - 8y = 24
d. -5x + 8y = 24
To write this in standard form, you need to eliminate the fraction in the coefficient of variable x. You can do this by multiplying 8 to the two sides of the equation:
8(y) = 8[(-5/8)x + 3]
8y = -5x + 24
Transpose the variable x to the other side:
5x + 8y = 24
find the roots of the equation x3-3x^2+x+5
what is 1000x - 1x?
A) 101x
B) 1001x
C) 99x
D) 999x
Mia’s work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below.
Mia’s Work
Step 1: 3-35/10-91
Step 2: -32/-81
Step 3: 32/81
What was the first error that Mia made?
A: Mia simplified incorrectly and made the slope positive.
B: Mia subtracted in the wrong order.
C: Mia switched the numerator and the denominator.
D: Mia used subtraction instead of addition.
Answer:
Answer:
C: Mia switched the numerator and the denominator.
Step-by-step explanation:
just took the test
Let A and B be two events in a sample space S such that
P(A)=.6 P(B)=.5 and P(A intersect B) =.2 Find
A) P(A|B)
B) P(B|A)
Please explain how to do this! Thank you
the area of a rectangle is 20x^2-27x-8.the length is 4x+1. What is the width?
What is the value of h when the function is converted to vertex form? Note: Vertex form is p(x)=a(x−h)^
2+k . p(x)=x^2−14x+29
A support beam to be placed at a 28° angle of elevation so that the top meets a vertical beam 1.6 meters above the horizontal floor. Thanks vertical beam meets the floor at a 90° angle.
Law of sin: sin(A)/a=sin(B)/b=sin(C)/c
Approximately how far the vertical beam should the lower end of the support be placed along the horizontal floor
A)3.0 meters
B)3.4 meters
C)3.9 meters
D)4.4 meters
Answer:
B.
Step-by-step explanation:
Need help asap please.
Y varies directly as x and inversely as the square root of w; write the sentence as an equation.
The relationship where y varies directly as x and inversely as the square root of w can be represented by the equation y = k * (x / sqrt(w)). Here, k is a constant of proportionality.
Explanation:From the statement given, we can deduce an equation representing a direct proportionality to x and an inverse proportionality to the square root of w.
In mathematics, direct and inverse proportionality relationships are commonly depicted as y = kx and y = k/x respectively, where k is a constant. For direct proportionality, as x increases, y also increases. Contrastingly, for inverse proportionality, as x increases, y decreases.
Given the statement, we can represent the relationship as follows: y = k * (x / sqrt(w)).
Here, y varies directly as x and inversely as the square root of w. The constant k is the constant of proportionality which can be determined based on specific values of x, y and w.
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How to find side of triangle if two sides and one angle is known?
Let f(x)=x2−3x−4 .
What is the average rate of change from x = 7 to x = 10?
Enter your answer in the box.
there are four brands of smartphones that are most popular in the united states . the number of people in the united states that have each brand is given.
brand A; 4.48x104;
brand b : 3.84 x107; brand c : 6.4x10^6; brand d: 1.50 x107
what is the order of these brands from most to least popular?
For this case we must write the numbers from highest to lowest.
We observe that the numbers are written in exponential notation.
Therefore, by rewriting we have:
Brand A:
[tex] 4.48 * 10 ^ 4 = 44,800
[/tex]
Brand B:
[tex] 3.84 * 10 ^ 7 = 38,400,000
[/tex]
Brand C:
[tex] 6.4 * 10 ^ 6 = 6,400,000
[/tex]
Brand D:
[tex] 1.50 * 10 ^ 7 = 15,000,000
[/tex]
Ordering from highest to lowest we have:
[tex] 3.84 * 10 ^ 7 = 38,400,000
1.50 * 10 ^ 7 = 15,000,000
6.4 * 10 ^ 6 = 6,400,000
4.48 * 10 ^ 4 = 44,800
[/tex]
Answer:
The order of these brands from most to least popular is:
Brand B
Brand D
Brand C
Brand A
Solve the following inequality. 2x < 8
The required solution of the given inequality 2x < 8 is x < 4.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
The given inequality is
2x < 8
According to given question we have
Write inequality
2x < 8
Divide both sides by 2 we get,
x < 4
Therefore, the required solution of the given inequality 2x < 8 is x < 4.
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What is the first step to be done when solving this equation: 3(x-2+3) + 5 = 25
[100 POINTS]
Question 1)
The graph for the equation y = 2x - 2 is shown below.
If another equation is graphed so that the system has one solution, which equation could that be?
A) y = 2(x+1)
B) y = 2(x-1)
C) y = 2(x-2)
D) y = -2(x+1)
Question 2)
Solve the inequality and then graph its solution.
1/5(x-2) > -1
a) x > -7
b) x < -3
c) x > -3
d) x > 3
The first question is D, because when graphed, intercepts with the slope of 3, the only with the solution.
The second question is C, because u can multiple the LHS and RHS to get x-2 is greater than -5. Add 5 to get x is greater than -3
A waterfall has a height of 900 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 12 feet per second. The height, h, of the pebble after t seconds is given by the equation h equals negative 16 t squared plus 12 t plus 900. How long after the pebble is thrown will it hit the ground?
Final answer:
To find when the pebble hits the ground, solve for time using the quadratic equation from the given height function, resulting in around 6 seconds.
Explanation:
To find how long the pebble takes to hit the ground, we need to find the time t when its height h becomes 0. This means we need to solve the equation for t when h = 0:
-16t² + 12t + 900 = 0
This is a quadratic equation, and we can solve it using various methods like factoring, the quadratic formula, or completing the square. Here, we'll use the quadratic formula:
t = (-b ± √(b² - 4ac)) / 2a
where a = -16, b = 12, and c = 900:
t = (-12 ± √(12² - 4 × -16 × 900)) / (2 × -16)
t = (-12 ± √(614400)) / -32
t ≈ (-12 ± 247.88) / -32
There are two possible solutions:
t1 ≈ 25.50 seconds
t2 ≈ -5.50 seconds (we can discard this since time cannot be negative)
The pebble will hit the ground approximately 6 seconds after it is thrown.
Match the reasons with the statements in the proof.
1. j||k, m∠3 = m∠1
If alternate interior angles are =, then lines are ||.
2. m∠1 = m∠2
Substitution
3. m∠2 = m∠3
Given
4. l||m
If lines are ||, then corresponding angles are =.
Answer:
1-given
2-if lines are parallel, then corresponding angles are equal
3-Substitution
4-if alternate interior angles are equal then lines are parallel.
Step-by-step explanation:
Given j is parallel to k,[tex]m\angle3 =m\angle 1[/tex]
We have to prove that line l is parallel to m
We have to match reason with its correct statement in given proof.
1.j is parallel to k,[tex] m\angle 3=m\angle 1[/tex]
Reason:given
2.[tex]m\angle 1=m\angle 2[/tex]
Reason:if the lines are parallel , then corresponding angles are equal.
3.[tex]m\angle 2=m\angle 3[/tex]
Reason: substitution
4.line l is parallel to m
Reason: If alternate interior angles are equal ,then lines are parallel.
Write a real word problem that involves classifying a quadrilateral
Alice needs to classify her garden quadrilateral to determine if it is suitable for a specific species of flowers. She finds the sides equal in length and consecutive angles supplementary, which leads her to conclude the garden plot is a rhombus, meeting the criteria for her flowers.
Alice designs a garden plot in the shape of a quadrilateral. She knows that for a certain species of flower to grow optimally, her garden must have a specific shape: it needs to be a parallelogram with equal sides but not necessarily equal angles. In order to classify the quadrilateral of her garden, she begins by measuring the sides and finds that they are all of equal length. Then she measures the angles and finds that consecutive angles are supplementary, which means their measures add up to 180 degrees.
To determine if the quadrilateral meets the criteria for the species of flowers, she must classify her garden plot based on her measurements. Is Alice's garden a rectangle, a square, a rhombus, or a parallelogram with unequal angles?
Since the sides of the quadrilateral are all equal and the consecutive angles are supplementary, Alice can conclude that her garden plot is a rhombus, which is a type of parallelogram with all sides equal in length and opposite angles equal. Thus, it fulfills the requirements for her special species of flowers.
16. Which of the following are the measures of a right isosceles triangle?
a. 36°, 60°, 90°
b. 40°, 40°, 90°
c. 60°, 60°, 60°
d. 45°, 90°, 45°
17. Of the following triangles, which one is impossible to construct?
a. acute scalene
b. acute equilateral
c. obtuse scalene
d. obtuse equilateral
The complement of an angle is 8 times as large as the angle. find the measure of the complement
Answer:
80⁰
Step-by-step explanation:
Angle = x
Complement = 90 - x
Given:
8x = 90 - x
9x = 90
x = 10⁰
Complement = 90 - 10 = 80⁰
The complement of an angle is 8 times as large as the angle. The measure of other angle is 80⁰.
What are complementary angles?The complement of an angle is the sum of angles which is equal to 90 degrees.
Let one Angle = x
Complement = 90 - x
The complement of an angle is 8 times as large as the angle.
so,
8x = 90 - x
9x = 90
x = 10⁰
Complement = 90 - 10
= 80⁰
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The population of a town is 6500 and is increasing at a rate of 4% per year.at this rate, approximately what will the towns population be in 4 years
To find the town's population in 4 years with an initial population of 6500 and a 4% annual growth rate, we use the exponential growth formula, resulting in an estimated population of approximately 7609.
The population of a town is 6500 and is increasing at a rate of 4% per year. To calculate the town's population in 4 years, we will use the formula for exponential growth:
P(t) = P0(1 + r)^t
Where:
P(t) is the future population
P0 is the initial population
r is the growth rate (as a decimal)
t is the number of years
Step-by-step calculation:
Convert the growth rate from a percentage to a decimal: r = 4% = 0.04
Use the formula with t = 4 years, P0 = 6500, and r = 0.04:
P(4) = 6500(1 + 0.04)⁴
Calculate P(4) = 6500 * 1.04⁴
Approximate the future population after 4 years.
By performing the calculation, the town's population in 4 years will be approximately 7609.
Anslee is designing a doll house shaped like a rectangular prism. The doll house is 8 feet long, 2 feet wide and 3 feet high. What is the surface area of the doll house?