Your credit card limit is $5,000, and your current balance is $4,500. Your credit score will increase by 10 points for every $250 decrease in your balance. At the end of the year you have paid down your balance to $2,500. By how many points has your credit score increased?
a) 10
b) 25
c) 45
d) 80
Answers
80
Step-by-step explanation:
4500-2500 is 2000 dollars reduction, or money paid off.
For every 250 dollars, there is a 10 points increase. 2000 divided by 250 is 8. There are 8 sets of 250 dollars. So, for every 250 dollars (you have 8 of them), 10 points increase. Therefore, you multiply 10 by 8.
10x8 = 80. Your credit score has increased by 80 points.
Answer: 80
Step-by-step explanation:
4500-2500 is 2000 dollars reduction, or money paid off.
For every 250 dollars, there is a 10 points increase. 2000 divided by 250 is 8. There are 8 sets of 250 dollars. So, for every 250 dollars (you have 8 of them), 10 points increase. Therefore, you multiply 10 by 8.
10x8 = 80. Your credit score has increased by 80 points.
Related Questions
Select the correct expressions. 1 Identify each expression that represents the slope of a tangent to the curve y= * +1 at any point (x, y)
Answers
The expressions which represents the slope of a tangent to the curve \(y=\frac{1}{x+1}\) at any point (x, y) are:
\(f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}\)
The slope of a tangent to the curve.Mathematically, the slope of a tangent line to the curve is given by this equation:
\(f'(x) =limh \rightarrow 0\frac{f(x+h)-f(x)}{h}\)
Given the function:
\(f(x)=y=\frac{1}{x+1}\)
When (x + h), we have:
\(f(x+h)=y=\frac{1}{x+h+1}\)
Next, we would find the derivative of f(x):
\(f'(x) =limh \rightarrow 0\frac{\frac{1}{x+h+1} -\frac{1}{x+1}}{h}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -(x+h+1)}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -x-h-1}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}\\\\f'(x) = \frac{-1}{(x+1)(x+1)} \\\\f'(x) = \frac{-1}{(x+1)^2}\)
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Determine whether the sequence converges or diverges. If it converges, give the limit.
9, 27, 81, 243,
Answers
The sequence diverges because the value of the absolute common ratio r is greater than the 1.
What is convergent of a series?A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.
We have series:
9, 27, 81, 243....
The above series is a geometric progression with common ratio r is 3
\(\rm r =\dfrac{27}{9}\)
r = 3
We know the formula for a geometric sequence:
\(\rm S_n = 9(3)^n\)
\(\rm S_n = 3^{n+2}\)
A geometric series converges only if the absolute value of the common ratio:
r < 1 and
It diverges if the ratio ≥ 1
Here the value of r = 3 which is greater than the 1 so the sequence diverges.
Thus, the sequence diverges because the value of the absolute common ratio r is greater than the 1.
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Given f (x) = 3 x minus 1 and g (x) = 2 x minus 3, for which value of x does g (x) = f (2)? x = three-halves x = 2 x = five-halves.
Answers
The required value of x for the given condition g(x) = f(2) is x = 2.
Explain function of x.This relationship is regularly represented as y = f(x) — which is expressed "f of x" — and y and x are connected with the end goal that for each x, there is an extraordinary worth of y. That is, f(x) can not have more than one incentive for a similar x. To utilize the language of set hypothesis, a capability relates a component x to a component f(x) in one more set.
According to question:f(x) = 3x - 1 and g(x) = 2x - 3
To find value of x for g(x) = f(2)
Then, f(2) = 3(2) - 1 = 6 - 1 = 5
So, g(x) = 2x - 3 = 5
2x = 8
x = 4
Thus at x = 4 g(x) = f(2).
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Write a recursive function named reverse string() that takes a string as a parameter and returns a string with the characters reversed. This function has to be recursive you are not allowed to use loops to solve this problem
Answers
Recursive functions produce a string of phrases by iterating over or utilising as input their own previous term.
A recursive function named reverse_string() that reverses a given string
def reverse_string(s):
if len(s) <= 1:
return s
else:
return reverse_string(s[1:]) + s[0]
Let's break down how this function works:
When the length of the string s is 0 or 1, that is the base case. In these situations, there is no need for reversal, therefore the method simply returns the string as-is.
The function calls itself recursively for strings longer than 1, taking as an input the substring that begins with character two (s[1:]). The string will be cut until the base case is reached by this recursive function.
The recursive call starts returning the sliced strings in reverse order when it reaches the base case and concatenates them with the first character of the original string (s[0]).
Here's an example of how you can use this function:
input_string = "Hello, World!"
reversed_string = reverse_string(input_string)
print(reversed_string) # Output: "!dlroW ,olleH"
The function recursively reverses the characters in the input string, producing the reversed string as the output.
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Nacho cheese corn chips are 28,6% fat. it a party size bag contains 15 ounces of corn chips, and each gram of fat equals 9 calories, how many calories from fat are there in a party sized bag of nacho cheese corn chips?
Answers
Based on the amount of Nacho cheese corn chips and the calories per gram, the calories per party bag is 1,094.6 calories
What amount of calories are in a party bag?First, convert ounces to grams:
= 1 ounce is 28.3495 grams
Party bag in grams:
= 15 x 28.3495
= 425.243 grams
The amount of calories is:
= 425.243 x 28.6% x 9
= 1,094.6 calories
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Percy took a total of 12 quizzes over the course of 4 weeks. How many weeks of school will Percy have to attend this quarter before he will have taken a total of 15 quizzes? Assume the relationship is directly
Answers
Answer:
5 weeks
Step-by-step explanation:
To solve this problem, we can use the idea of proportionality. We know that the number of quizzes Percy takes is directly proportional to the number of weeks he attends school. This means that we can set up a proportion:
12 quizzes / 4 weeks = 15 quizzes / x weeks
We can cross-multiply to get the following:
12x = 60
Then we can solve for x:
x = 60/12 = 5
Therefore, Percy will have to attend 5 weeks of school to take a total of 15 quizzes.
Please help me I dont understand this! its due soon by the end on class omg!
Answers
The number of people who would prefer Choco chocolate chip is 120.
How many people would prefer Choco chocolate chip?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
In order to determine the number of people who would prefer Choco chocolate chip , multiply the given ratio of people who prefer Choco chocolate chip by the total number of people in the group.
The number of people who would prefer Choco chocolate chip = (ratio of people who prefer choco / sum of ratios) x number of people
(3/5) x 200 = 120
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Could someone help me? The problems (see image attached) are about whether or not a decimal can be written as a question and why or why not.
Answers
Answer:
yes it can be bc it is repeating
A map has a scale of 1 inch : 3 miles.
How far are two airports apart if they are 6 inches apart on the map?
Answers
Do these side lengths make a right triangle? 6, 8, 10
Answers
Answer:
Yes
Step-by-step explanation:
\(6^{2}\) + \(8^{2}\) = \(10^{2}\)
36 + 64 = 100
The Pythagorean theorem is true.
Which of the following devices converts electrical energy to mechanical energy? a. A motor b. A combustion engine c. A furnace d. A generator e. A nuclear reactor QUESTION 8 When an antelope triples it speed a. The kinetic energy of the antelope is one-ninth of the value from before. b. The kinetic energy of the antelope is nine times greater than before. c. The kinetic energy of the antelope is three times greater than before. d. The kinetic energy of the antelope is the same as before. e. The kinetic energy of the antelope is one-third of the value from before. QUESTION 9 A 50-g bullet is traveling at 2.0 km/s in the horizontal direction when it pierces a wall that is 15 cm thick. When the bullet emerges from the other side is traveling at 1.0 km/s. What is the magnitude of the force that the wall applied to the bullet? Assume that the bullet does not lose any of its mass throughout its path. a. 5.0×10
5
N b. 6.0×10
5
N c. 3.0×10
5
N d. 4.0×10
5
N e. 2.0×10
5
Answers
(a) A motor is the device that converts electrical energy to mechanical energy. (b) The kinetic energy of the antelope is nine times greater than before.
(a)A motor is an electrical device that uses the principle of electromagnetic induction to convert electrical energy into mechanical energy. It consists of coils, magnets, and a rotating shaft. When an electric current is passed through the coils, it creates a magnetic field that interacts with the magnetic field of the permanent magnets, causing the shaft to rotate and thus converting electrical energy to mechanical energy. Motors are commonly used in various applications such as appliances, vehicles, and industrial machinery.
(b)The kinetic energy of an object is given by the equation KE = (1/2)mv^2, where KE represents kinetic energy, m represents mass, and v represents velocity. When an object's speed is tripled, the new kinetic energy is calculated by substituting the new velocity into the equation. Since the velocity is squared, tripling the velocity results in a nine-fold increase in the kinetic energy. Therefore, the kinetic energy of the antelope is nine times greater than before when its speed is tripled.
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(L2) A circle that contains a polygon so that it passes through each vertex of the polygon is a(n) _____ circle.
Answers
(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.
A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.
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make [t] the subject.
![make [t] the subject.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/JVqUUNfcMy6sVY0kOwAqL9jrN0RItool.png)
Answers
The expression which represents t as the subject of the formula is; t = (p + 4s) / √(s (3s - p)).
What is the expression for t as the subject of the formula?As evident in the task content; it follows that the expression which represents t as the subject of the formula is to be determined.
Given; ( (p + 4s) / t )² = s (3s - p)
(p + 4s) / t = √(s (3s - p))
t = (p + 4s) / √(s (3s - p))
Ultimately, the correct expression is; t = (p + 4s) / √(s (3s - p)).
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dont get what the question is asking
Answers
Answer:
I have no idea also for geometry
how many pounds of sunflower seed does the mixture contain?
Answers
Explanation
In the question, we are given that the millet seeds and the sunflowers seed are packaged in 5 pounds back.
We can assume that the pounds of millet seeds be x and the pounds of sunflower seeds be y. We can therefore create the equation;
\(x+y=5----(1)\)Next, we know that a pound of sunflower seed cost $1.75 and a pound of millet seed cost $2.50 and the mixture is sold for $11.60. This will imply;
\(2.50x+1.75y=11.60----(2)\)We will then solve the above equation simultaneously.
\(\begin{gathered} \text{Isolate x for x+y =5} \\ x=5-y-----(3) \end{gathered}\)Insert equation 3 in equation 2
\(\begin{gathered} 2.50(5-y)+1.75y=11.60 \\ 12.5-0.75y=11.6 \\ 0.75y=12.5-11.6 \\ 0.75y=0.9 \\ y=\frac{0.9}{0.75} \\ y=1.2 \end{gathered}\)Since the weight of the sunflower seed is represented by y, therefore the answer is;
Answer: 1.2 pounds
50 points Classify the expression: 5x^3 + 2x − 3
A Quadratic expression
B Linear expression
C Cubic expression
D Exponential expression
(I have an answer but I'm not so sure about it)
Answers
Answer:
C: Cubic Expression!
Step-by-step explanation:
In this equation/expression, you can look at the highest exponent which is 3, and you can also look at how many terms it has, which is 3. This makes it a 3rd degree trinomial, which makes it C, Cubic Expression!
Answer:
Cubic Expression
Step-by-step explanation:
See answer above
Sorting the data from smallest to largest is a useful first step that makes calculating which measure(s) of central tendency easier?
Answers
Sorting the data from smallest to largest is a useful first step that makes calculating Median and Mode easier
We know, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution.
The mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value.
So, when we sorting the data from smallest to largest is a useful first step that makes calculating the median easier. Because median is the middle term of the ordered data set.
Similarly, It will be easier to find the most frequent in the ordered data set
that is mode
Hence, sorting the data from smallest to largest is a useful first step that makes calculating Median and Mode easier
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HELPPPP DUE TONIGHT!!!!!!!
Answers
Our slope here is -2/3. This means that for every 3 units you move to the right, move down 2 units.
But first you must know the y-intercept, also known as b.
Here’s how you find b given slope and a point:
y = mx + b
where m is our slope and b is the y-intercept.
Plug in slope:
y = -2/3 x + b
Now, plug in the ordered pair (-2,3) into the correct x and y value places:
(3) = -2/3 (-2) + b
Now solve for b:
3 = 4/3 + b
Put 3 in terms of 4/3:
3/3 (3/1) = 9/3
9/3 = 4/3 + b
9/3 - 4/3 = b
5/3 = b
Now plug b back into the original equation with the given slope:
y = -2/3x + 5/3
That is the equation of a line with a slope of -2/3 passing through point (-2,3).
Hope this helps!
Step by step
Given point ( -2, 3) find this point on the graph ( x = -2, y = 3)
From this point, use slope -2/3 to find your next point. Remember slope is y/x so from your first point, go down -2 and right + 3. Mark your point. From here, do this again, go down -2 and right +3. Mark your point. Now you can draw your line. The attached graph shows the coordinates found by using slope.
Round the number to 3
significant figures.
0.2590100
Answers
Answer:
0.259
Step-by-step explanation:
There are some rules in determining what numbers are significant figures.
All non-zero numbers are significant.Zeroes between two non-zero numbers are significant.Zeroes at the front of a number are not significant.Trailing zeroes are only significant if there is a decimal point.We can determine how many significant figures the number currently has.
The first zero is not significant.2, 5, 9, and 1 are significant because they are non-zero numbers.The zero between 9 and 1 is significant because it is a captive zero.The zeroes at the end of the number are significant because they are trailing zeroes.There are currently seven significant figures. In order to round the number to three significant figures, we must round it to the thousandths place, or the 9.
The rounding rules are:
If the digit in the place after the number we are rounding is less than 5, you round down (or in other words, keep the number the same; Ex: 74 becomes 70)If that digit is greater than 5, you round up (Ex: 78 becomes 80)Since 0 is less than 5, the number rounded to 3 significant figures is 0.259.
Help me please don’t use me for points
Answers
Answer:
a variable is a numeric value typically represented by a letter
Step-by-step explanation:
Which set of ordered pairs represents y as a function of x? {(2,2), (3,3), (2,4), (5,5)} A. {(2,2), (3,3), (2,4), (5,5)} A. , 2, 2... 3, 3.... 2, 4... 5, 5... , {(−1,−2), (−2,−1), (−2,7), (−4,8)} B. {(−1,−2), (−2,−1), (−2,7), (−4,8)} B. Negative 1, negative 2... Negative 2, negative 1... Negative 2, 7.... Negative 4, 8... , {(−1,6), (4,3), (1,1), (−3,4)} C. {(−1,6), (4,3), (1,1), (−3,4)} C. Negative 1, 6... 4, 3... 1, 1... Negative 3, 4... , {(0,1), (2,1), (3,1), (0,2)} D. {(0,1), (2,1), (3,1), (0,2)}
Answers
Answer:
The correct answer is C
Step-by-step explanation:
In a function, no two ordered pair has the same first element. if you check all the Rest, they have one or more two ordered pairs having the same first element. But C has unique first ordered elements, -1, 4, 1 and -3
Select three RATIOS that are equivalent to 5:2
The options are...
2:5
10:4
20:50
35:14
55:22 THANKS!
Answers
Answer:
10:4, 35:14, 55:22
Step-by-step explanation:
3. Below is a scholar's work to determine if T = 10 and W = 1575 is a solution
to this scenario. What would you conclude based on their work shown
below?*
W = 250 + 132.50T
W = 1575
T = 10
(1575) = 250 + 132.50 (10)
1575 = 250 + 1325
1575 = 1575
Yes it is a solution.
No, it is NOT a solution.
Answers
Answer:
yes it is a solution
Please work me through the steps.
Answers
Answer:-6\(x^{12}\)
Step-by-step explanation:
Open the brackets
-x is the same as -1x
(2\(x^{3}\) x -\(x\))(3\(x^{8}\))
The bases will be multiplied while the powers will be multipled-2\(x^{4}\) x 3\(x^{8}\)
In the law of indices(multiplication), provided the bases are equal,they are to be added.-6 \(x^{4} +x^{8}\)
= -6\(x^{12}\)
Work out the given expression (6x²y³-3xy⁴)÷3xy²
Answers
Answer:
\( \frac{3x {y}^{2} (2xy - {y}^{2} )}{3x {y}^{2} } \\ 2xy - {y}^{2} \)
Answer:
\(\boxed{=y(2x-y)}\)
Step-by-step explanation:
\(\dfrac{6x^2y^3-3xy^4}{3xy^2} \\\\=\dfrac{3xy^3(2x-y)}{3xy^2} \\\\=y(2x-y)\\\\=2xy-y^2\)
A 2-column table with 4 rows. Column 1 is labeled Number of Bouquets with entries 3, 6, 9, 12. Column 2 is labeled Price (dollars) with entries 9, 18, 27, 36.
The table shows the price for buying bouquets of flowers at a farmer’s market.
What is the unit rate?
Answers
Answer:
The unit rate is $3
Step-by-step explanation:
The given table can be written as follows:
No. of Bouquets 3 6 9 12
Price 9 18 27 36
In order to find the unit price, the price will be divided by the units.
So,
\(Unit\ price = \frac{Total\ price}{Number\ of\ bouquets}\)
Taking a single pair from the table (Any pair of number of bouquets and price of those number of bouquets can be taken for this purpose)
\(Unit\ price = \frac{9}{3}\)
= 3
Hence,
The unit rate is $3
Answer:
$3 per bouquet
Step-by-step explanation:
which property would allow you to use mental computation to simplify the problem 27+15+3+5?
Answers
Answer:
addition
Step-by-step explanation:
There is only plus signs
the average score of 100 students taking a statistics final was 72 with a stanndard deviation of 7. assuming a normal distribution, what is the probability that a student scored greater than 52
Answers
The probability of a student scoring higher than 52 is 0.0021.
When the data are normally distributed and the mean and standard deviation are known. Calculate the percentage of data that is greater than or less than a certain number. The standard normal distribution and the Z-score or the standard normal distribution for this.
In the question, the mean and standard deviation are provided as μ = 72 and σ = 7
It has also been said that the data is typically dispersed.
Determine the proportion or percentage of data that is greater than 52. The Z-Score, also known as the standard normal variate, is defined as:
Z = (x - μ) ÷ σ
Calculate the requisite Z-score by substituting the values of μ, σ, and x:
Z = (72 - 52) ÷ 7
Z = 2.857
The area under the curve is approximately 0.0021 on the right side of the Z value.
As a result, the probability of a student scoring more than 52 is 0.0021.
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two friends entered a contest jointly and won; however, there is only one prize and it cannot be split. some methods of selecting who receives the prize are given below. a: place both names in equal amounts into a hat and draw one without looking. b: ask a stranger to flip a coin. c: roll a die and evaluate the outcome as either even or odd. d: throw a stone closest to an object. e: play a hand of blackjack. f: ask a random stranger to select.
Answers
The methods that are fair include __A, B and C__ because __D__ is flawed due to increased chances of winning based on one's skill, ___F___ is flawed due to poor randomization, and ___E___ is flawed due to unequal probabilities of winning and losing.
Definition of ProbabilityProbability is a value used to measure the degree of occurrence of a random event. The word probability itself is often referred to as opportunity or possibility. Probability is generally the chance that something will happen.
The concept of probability has an important role in everyday life, starting from the scientific field, the government sector, the business or industry sector, to small issues such as entering the office or not due to thick clouds which are likely to rain heavily and flood .
In studying probability, there are three keywords that must be known namely experiments, outcomes and events or events.
For example, an experiment was conducted by asking 100 readers whether they would take a course in statistics or calculus. From this experiment there will be several possible outcomes. For example, the first possible outcome is that as many as 58 people will take any course. Another possible outcome is that 75 people are taking a calculus course and the rest are taking a statistics course. Another example of an experiment is the tossing of a dice. The result (outcome) of throwing a dice is likely to come out with one or two or three seeds and so on. The collection of these outcomes is known as an event.Learn more about probability model at https://brainly.com/question/29251028.
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In which of these situations do the quantities combine to make 0?
A. A player in a game earns 4 points for getting an answer right. She
then earns 4 points for making it around the board.
B. A bird flies 25 feet up in the air. It then flies 25 feet across to its
nest.
C. A car is filled with 10 gallons of gas. Half of the 10 gallons are
then used on a day's drive.
D. Veronica receives $21 for babysitting. She then spends $21 on a
new shirt