Leigh took out a payday loan for $400 due in 2 weeks that charged a $50 fee. What is the periodic interest rate of the loan?
Steps please?
A. 25%
B. 12. 5
C. 325%
D. 650%
Answers
The periodic interest rate of the loan is 12.5% (option B).
Here are the steps to find the periodic interest rate of the loan:
1. First, we need to calculate the interest amount for the loan. This is the fee charged by the lender. In this case, the interest amount is $50.
2. Next, we need to calculate the principal amount of the loan. This is the amount that was borrowed. In this case, the principal amount is $400.
3. Now we can calculate the periodic interest rate by dividing the interest amount by the principal amount and multiplying by 100 to get a percentage.
Periodic interest rate = (Interest amount / Principal amount) x 100
4. Plugging in the values from the question, we get:
Periodic interest rate = ($50 / $400) x 100
5. Simplifying the equation, we get:
Periodic interest rate = 0.125 x 100
6. Finally, we get the periodic interest rate:
Periodic interest rate = 12.5%
Therefore, the correct answer is B. 12.5%.
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Related Questions
FACTORISATION
i) Factorise:
4a(a-b)+3b(b-a)
Answers
4a(a - b) + 3b(b - a)
= 4a² - 4ab + 3b² - 3ab
= 4a² - 4ab - 3ab + 3b²
= 4a² - 7ab + 3b²
= (a - b) (4a - 3b)
________
Hope it helps ⚜
gthe number of calls received by an office on monday morning between 8:00 am and 9:00 am has a mean of 8. calculate the probability of getting exactly 2 calls between eight and nine in the morning. round your answer to four decimal places.
Answers
The probability of receiving at least two calls between eight and nine in the morning is 0.8009, or 80.09%.
The chance that X represents the number of successes of a random variable in a Poisson distribution is provided by the following formula:
\(P(X=x)=\frac{e^{-u} *u^x}{(x)!}\)
where
The number of successes is x.
The Euler number is e = 2.71828.
μ is the mean in the specified time period
The mean number of calls that an office receives on a Monday between 8:00 AM and 9:00 AM is 8.
It follows that μ = 8
Determine the likelihood of receiving at least two calls between 8:00 and 9:00 in the morning.
You either receive no calls or at least one call. Decimal 1 represents the total of these events' probabilities. Mathematically, it follows that
\(P(X=0)+P(X\geq 1)=1\\\)
We desire \(P(X\geq 1 )\). So
\(P(X\geq 1)=1-P(X=0)\)
where
\(= 1-[P(x=0)+P(x=1)]\\=1-e^{-3} (1+3)\\=1-0.19915\\=0.8009\)
The probability of receiving at least two calls between eight and nine in the morning is 0.8009 or 80.09%.
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A store manager instructs his employees to mark up all items by 30%. A store clerk puts a price tag of $30 on an item that the store bought for $27. As an employee, you notice that this selling price is incorrect. a. Find the correct selling price. Round to the nearest dollar. b. What was the clerk's likely error?
Answers
Answer:
35 dollars.
Step-by-step explanation:
The clerk likely just changed the price as a whole to 30 rather than add 30% to the original bought price.
Answer:
$35.10
Step-by-step explanation:
Find the measure of the missing angle
Answers
Answer: b=112 degrees and c=68
Step-by-step explanation:
Answer:
b = 112, c = 68
Step-by-step explanation:
The angle of a line is 180 degrees.
If an angle is 112, 180-112=68 so that blank space will be 68 degrees.
180-68=112, so b=112.
Since b is 112, we now that c is 68.
Translate each equation into a sentence.
n over -6 = 2n + 1
Answers
Answer:
minus six equals twon plus one
Step-by-step explanation:
.....................
Answer: n + -6 = 2n+1
or
n * -6 = 2n+1
Step-by-step explanation: over means more than so basically addition or multiplication
What is 30% of 40?
Lou's class has 12 students in it. 8 of the students ran a race last weekend. What percent ran the race?
Answers
What is 30% of 40?
30% = 0.3
so:
0.3 * 40 = 12
_________________________
Lou's class has 12 students in it. 8 of the students ran a race last weekend. What percent ran the race?
8 out of 12 ran so:
8/12 = 2/3
2/3 = 0.6667
0.6667 as a percentage:
0.6667 * 100 = 66.667%
[if you need it rounded to two decimal places: 66.67%]
Write the importance of mathematics in your education describing in your own words
Answers
Answer:
mathematics is important so you know how to solve problems. there are a lot of ways in the future you might use math. you use math in other subject too.
Step-by-step explanation:
Calculate the area of triangle CDE with altitude EF, given C (3, −2), D (−1, 2), E (2, 3), and F (0, 1).
Answers
Altitude EF=√((0-2)²+(1-3)²)
=√(4+4)=√8=2√2
area=1/2 ×4√2×2√2=8 square units
please help!!! thank you
Answers
Answer:
WX = 18
Step-by-step explanation:
This is just a simple 1:2 congruency.
We know that because side FD is equal to 7 and side XY is equal to 14.
7:14 is the same as 1:2.
Using that logic we can then apply it to side FE.
Multiply 9 by 2 and you'll get your answer of WX = 18.
How many ways can eight different cans of soup be displayed in a row on a shelf?
Answers
Answer:
you can stack them
Step-by-step explanation:
this a wierd question
Can someone help me with this please
Answers
Answer:
r = 59
Step-by-step explanation:
59 + r = 118
59 + r - 59 = 118 - 59
r = 59
Since 59 is being added to r, and you want r alone, you must subtract 59 from the left side of the equation. The rule is that you must do the same operation to both sides of the equation. Therefore, to solve for r, subtract 59 from both sides of the equation.
Find the area of the semicircle 16 meters
Answers
Answer:
its candice ;)
PLEASE HELP!!!!!! 30 POINTS
What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?
Answers
Answer:
y+5=2⋅(x+2)
Step-by-step explanation:
When does king become the most emotional ? What is the message at this moment?
Answers
King usually becomes the most emotional during moments of reflection or when he is expressing his views on civil rights and justice. King's message of hope, courage, and resilience encourages individuals to stand up for what is right and to never give up in the face of injustice.
In what ways does Dr. King use emotion in his speech?Dr. King utilises passion in his lectures to accentuate his message and to connect with his audience on an emotional level. He frequently speaks about the sorrow and injustice that his people have endured, eliciting an emotional response from his audience. He also inspires his audience to believe in the prospect of a brighter future, which instills hope and motivation. Furthermore, he frequently employs metaphors and analogies to underline his ideas, which may be extremely effective.
When does king become the most emotional?King is generally the most emotional when he is reflecting or expressing his ideas on civil rights and justice. In these times, he sends a message of hope, strength, and endurance. King usually uses compelling metaphors and parables to highlight the necessity of equality and justice. He highlights the power of our actions to effect change and the importance of never losing hope in the face of hardship. He frequently urges for unity among all races and sexes and opposes all types of prejudice. He also discusses the power of love, understanding, and mutual respect in bridging gaps and creating a better society.
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Listed in the accompanying data table are student evaluation ratings of courses and professors, where a rating of 5 is for "excellent. " Assume that each sample is a simple random sample obtained from a population with a normal distribution. A. Use the 93 course evaluations to construct a 98% confidence interval estimate of the standard deviation of the population from which the sample was obtained. B. Repeat part (a) using the 93 professor evaluations. C. Compare the results from part (a) and part (b)
Answers
The 98% confidence interval of 93 course evaluation the estimation of the population standard deviation is (0.454, 0.681). For 93 professor evaluations, it is (0.318, 0.457). The course evaluations have a wider interval, indicating more variability compared to professor evaluations.
The construction of 98% confidence interval from which the 93 course evaluations were obtained, by using the formula
Confidence interval = (√((n-1)*s²)/√(chi-square upper)-√((n-1)*s²)/√(chi-square lower)),
where n is the sample size, s is the sample standard deviation, and chi-square upper and chi-square lower are the values from the chi-square distribution table with degrees of freedom (df) equal to n-1 and a cumulative probability of 0.99/2 = 0.495.
Using the given data, we have n = 93 and s = 0.56. From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.
putting the values in the formula, we get
Confidence interval = (√((93-1)*0.56²)/√(67.339)-√((93-1)*0.56²)/√(49.645))
Confidence interval = (0.454, 0.681)
Therefore, we are 98% confident that the standard deviation of the population from which the 93 course evaluations were obtained falls within the interval (0.454, 0.681).
To construct a 98% confidence interval estimate of the standard deviation of the population from which the 93 professor evaluations were obtained, we can use the same formula as in above part, but with n = 93 and s = 0.41 (the sample standard deviation for professor evaluations).
From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.
putting the values in the formula, we get
Confidence interval = (√((93-1)*0.41²)/√(67.339)-√((93-1)*0.41²)/√(49.645))
Confidence interval = (0.318, 0.457)
Therefore, we are 98% confident that the standard deviation of the population from which the 93 professor evaluations were obtained falls within the interval (0.318, 0.457).
Comparing the results from other parts, we can see that the confidence interval for the standard deviation of the population from which the course evaluations were obtained is wider than that for the population from which the professor evaluations were obtained. This suggests that there is more variability in the course evaluations than in the professor evaluations.
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The areas of 10 cities are given in the table.
How much greater is the range for the cities in the south than the cities in the north?
Enter your answer in the box.
mi²
Northern Cities Southern Cities
Portland 145 mi² Orlando 111 mi²
Seattle 84 mi² New Orleans 350 mi²
New York City 305 mi² Los Angeles 503 mi²
Detroit 143 mi² San Diego 372 mi²
Minneapolis 58 mi² Atlanta 132 mi²
Answers
The range for the southern cities is 145 mi² greater than the range for the northern cities.
How to find the range of the cities?We must determine the difference between the largest and smallest areas in each group in order to determine the range of the cities.
Minneapolis has the smallest area (58 miles2) and the largest (305 miles2) of the northern cities. Therefore, the northern cities' range is:
305 mi² - 58 mi² = 247 mi²
For the southern cities, the smallest area is 111 mi² (Orlando) and the largest area is 503 mi² (Los Angeles). So the range for the southern cities is:
503 mi² - 111 mi² = 392 mi²
To find how much greater the range is for the southern cities, we subtract the range for the northern cities from the range for the southern cities:
392 mi² - 247 mi² = 145 mi²
As a result, the cities in the south have a range that is 145 miles longer than the cities in the north.
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Marking brainliest! (easy)
What’s your favorite subject in school that inspires you and why?
Answers
Answer:
Art
Step-by-step explanation:
It's art because I'm able to express my creativity through all kinds of art that I like. I can draw what I love, or I can belt it out while my vocal chords train themselves.
You go to the store and buy 6 pieces of candy for $7.80.
a) Determine the constant of proportionality and use it to write an equation to find the cost 'y for buying any
number of candies, "X'.
b) What operation did you use to find or determine the unit price?
c) Explain whether you believe this process will work for all scenarios regarding the unit rate?
d) What is the relationship between the constant of proportionality and the Unit Rate?
Students, draw anywhere on this slide!
Answers
(n + 3) ÷ 5 = 3?
HELP
Answers
Answer:
n = 12
Step-by-step explanation:
Rewrite it as \(\frac{(n+3)}{5} = 3\)
Multiply both sides by 5
(n+3) = 15
You can drop the parenthesis now.
n + 3 = 15
n = 12
Answer:
12/5
Step-by-step explanation: 12/5 + 3 ÷ 5 = 3
If the trend shown in these graphs stays constant, what percent of the market will teddy bears occupy in november? (round your answer to the nearest tenth.) a. 24.8% b. 23.4% c. 22.5% d. 20.7%
Answers
The answer is (a) 24.8%.
To find out what percent of the market will teddy bears occupy in November, we must first understand the information that the graph presents.According to the graph, the market share of teddy bears is 20% in June, 22% in July, 24% in August, 23% in September, and 25% in October.
Since we need to find out the percentage in November, we have to connect the two points given in the graph and then extrapolate the percentage for November.
Connecting the dots of the given points, we can see that the trend is mostly on the rise. Therefore, the line of best fit would be a straight line sloping upwards. Extending this line towards November, we can see that the percentage that teddy bears will occupy in November will be around 24.8%.Therefore, the answer is (a) 24.8%.
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Determine whether the triangles are similar if not explain why not
Answers
Answer:
yes
Step-by-step explanation:
The interior angles of a triangle will always add up to 180. If you were to sub in 30 for b, which is what they're suggesting, you'll see that it adds up to 180. The same thing goes for if you subbed in 110 for a.
PLEASE HELP ITS GEOMETRY
Answers
you can tell since 3 units of the larger triangle make up 1 unit of the smaller triangle.
-3-2-1
M
What is the Rate of Change of this Graph?
What is the equation for this graph? Y=
(Do not include X)
(Do not include Y=)
Answers
Solution. To graph f, we graph the equation y=f(x).
To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x -intercepts, we set y=0. Since y=f(x), this means f(x)=0.
\($$\begin{aligned}f(x) & =x^2-x-6 \\0 & =x^2-x-6 \\0 & =(x-3)(x+2) \quad \text { factor } \\x-3=0 & \text { or } x+2=0 \\x & =-2,3\end{aligned}$$\)
So we get (-2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x=0. Using function notation, this is the same as finding f(0) and f(0)=0^2-0-6=-6. Thus the y-intercept is (0,-6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right.
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Given right triangle ABC. In the given right triangle, find the length of the hypotenuse, AB, if BC
Answers
The length of the hypotenuse AB is 8.94427 units.
What is the Pythagorean theorem?The Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that the area of the hypotenuse square is equal to the sum of the areas of the squares on the other two sides.To find the length of the hypotenuse, AB:
Formula:
c = √a² + b²So,
AB = √BC² + AC²AB = √4² + 8²AB = √16 + 64AB = √80≈ 8.94427Therefore, the length of the hypotenuse AB is 8.94427 units.
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The complete question is given below:
Given right triangle ABC. In the given right triangle, find the length of the hypotenuse, AB, if BC = 4 and AC = 8.
Use the diagram shown. Two lines are crosses each other in a shape of X. The left angle between two lines is 1 and its opposite angle is 3. The remaining angles are 2 and 4. If m∠1 equals (4x + 2)° and m∠2 equals 110°, what is the value of x? A. 14 B. 15 C. 16 D. 17
Answers
What is the value of x in the diagram?
#3
A) 530
B) go
127°
349
C) 112
146°
D) 180°
Answers
Answer: 180
Step-by-step explanation:
1/2 (12+8) • 52 - 17=_
Answers
Answer:
503
Step-by-step explanation:
1/2(20) × 52 - 17 = (10)(52) - 17 = 503
what is the slope of the line that passes through the points (‐3,3) and (-3,13)
write in simplest form.
Answers
Answer:
undefined
Step-by-step explanation:
The gallons of gasoline used on a car trip varies directly as the number of miles driven. If 25 gallons of gasoline has been used after driving 700 miles,how many gallons of gasoline would be used after driving 1000 miles? Round your answer to the nearest tenth
Answers
Answer:
35.7 gallons
Step-by-step explanation:
Given that:
Distance traveled = 700 miles
Gasoline used = 25 gallons
The gallons of gasoline used are directly proportional to the number of miles traveled.
To find the gallons of gasoline to be used after driving 1000 miles, we can use the unitary method in which we first of all find, how much gallons of gasoline would be used for 1 mile and then multiply the value with 1000 to find the answer.
700 miles are traveled by gallons of gasoline = 25
1 mile is traveled by gallons of gasoline = \(\frac{25}{700}\)
1000 miles are traveled by gallons of gasoline = \(\frac{25}{700}\times 1000 = \bold{35.7\ gallons}\)
Melanie is raising money for a school trip by selling candy bars and bags of chips. The price of each candy bar is $1.50 and the price of each bag of chips is $1.25. Yesterday Melanie made $33.25 and sold 13 more candy bars than bags of chips. Determine the number of candy bars sold and the number of bags of chips sold.
Answers
The number of chips sold is 10
The number of candy bars sold is 23
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation.
We have,
The price of each candy bar = $1.50.
The price of each bag of chips = $1.25.
Number of chips = x
Number of candy bar = x + 13
Yesterday Melanie made $33.25.
So,
x + x + 13 = 33.25
Solve for x.
x + x + 13 = 33.25
2x + 13 = 33.25
2x = 33.25 - 13
2x = 20.25
x = 10.125
x = 10
Now,
Number of chips = 10
Number of candy bar = 10 + 13 = 23
Thus,
Number of chips sold = 10
Number of candy bar sold = 23
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