Jeremiah's credit card has an APR of 22% calculated on the previous monthly
balance. His credit card record for the last 7 months is shown in the table
below.
End of Previous
Month Balance
$0.00
2 $255.87
3 $297.39
4 $319.80
5 $318.72
6 $531.98
7 $460.64
New
Charges
$255.87
$156.83
$96.96
$133.05
$267.42
$78.91
$301.48
Payment
Received
$0.00
$120.00
$80.00
$140.00
$60.00
$160.00
$220.00
Finance
Charges
$0.00
$4.69
$5.45
$5.86
$5.84
$9.75
$8.45
Principal
Paid
$0.00
$115.31
$74.55
$134.14
$54.16
$150.25
$211.55
New
Balance
$255.87
$297.39
$319.80
$318.72
$531.98
$460.64
$550.57
On what amount of money will Jeremiah be charged interest for month 8?
A. $301.48
B. $220.00
Answers
Answer: it's $550.57
Step-by-step explanation:
Related Questions
625 g of Resorcinol and sulphur ointment is composed of: 2\% (by weight) resorcinol, 3% (by weight) sulphur and 1% (by weight) salicylic acid. The only other ingredient is ointment. How many grams of ointment does 625 g of Resorcinol and sulphur ointment contain? 3. You have 82 g of ferrous sulphate (FeSO
4
). What volume of ferrous sulphate solution at a concentration of 3%w/v ferrous sulphate can you make? What is the concentration of this solution in molL
−1
and mmolL
−1
? 4. A cream contains 63mg of menthol in every gram of cream. What is the %w/w of menthol in the cream? 5. A solution containing 114 mL of 96%v/v ethanol in 750 mL is prepared. What volume of pure ethanol (mL) does 250 mL of this solution contain? 6. How many g of Morphine Sulphate [(C
13
H
19
NO
3
)
2
H
2
SO
4
.5H
2
OMol wt 759.0 g mol
−1
] are equivalent to 889mg of Morphine Hydrochloride {C
13
H
19
NO
3
⋅HCl
3
3H
2
OMol wt 375.8) ? 7. Manganese Sulphate (Mol wt 223.1 gmol
−1
) has four water molecules associated with it. What mass of Manganese Sulphate Monohydrate (Mol wt 169.0) are equivalent to 95.4 g of Manganese Sulphate (Mol wt 223.1 g mol
−1
) ?
Answers
The weight of ointment in 625 g of Resorcinol and sulphur ointment can be calculated by subtracting the combined weight of resorcinol, sulphur, and salicylic acid from the total weight of the ointment.
How many grams of ointment does 625 g of Resorcinol and sulphur ointment contain?The given information states that the ointment is composed of 2% resorcinol, 3% sulphur, and 1% salicylic acid, with the rest being ointment. This means that the sum of the percentages of these three components is 6% (2% + 3% + 1%).
To find the weight of ointment, we can calculate 6% of 625 g:
\(\[\text{Weight of ointment} = 6\% \times 625 \text{ g} = \frac{6}{100} \times 625 \text{ g} = 37.5 \text{ g}\]\)
Therefore, 625 g of Resorcinol and sulphur ointment contains 37.5 g of ointment.
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Assume you earn $50,000 /year and contribute 10% of your salary to your 401 K, and your will employer match up to 3% of your salary. What is the total amount you are putting away in your account each year?
Answers
Answer:
To calculate the total amount, first find out how much you contribute and then add the amount your employer contributes.
Your contribution: 10% of $50,000
= ($50,000 * 10) / 100
= $5,000
Employer's contribution: 3% of $50,000
= ($50,000 * 3) / 100
= $1,500
Total contribution:
= Your contribution + Employer's contribution
= $5,000 + $1,500
= $6,500
So, the total amount being put away in your account each year is $6,500.
Step-by-step explanation:
I tried and it did not make sense help
Answers
Answer: D) -20.99
Step-by-step explanation:
-4.97-2.36+-5.19-8.47 = -20.99
Kendal ate 27 1/2 cookies in 5 1/2 minutes. How many cookies does she eat in one minute?
Answers
Answer:
5 (thats alot of cookies she ate)
Step-by-step explanation:
27.5/5.5=5
Madeline is going to invest in an account paying an interest rate of 4.4% compounded
annually. How much would Madeline need to invest, to the nearest ten dollars, for
the value of the account to reach $16,600 in 12 years?
Answers
Answer:
$9540
Step-by-step explanation:
A = P(1 + r)^t
16600 = P(1.044)^12
P = 16600/(1.044)^12
P = $9,543.64
answer the following, Round final answer to 4 decimal places. a.) Which of the following is the correct wording for the randon variable? r×= the percentage of all people in favor of a new building project rv= the number of people who are in favor of a new building project r N= the number of people polled r×= the number of people out of 10 who are in favor of a new building project b.) What is the probability that exactly 4 of them favor the new building project? c.) What is the probabilitv that less than 4 of them favor the new building project? d.) What is the probabilitv that more than 4 of them favor the new building project? e.) What is the probabilitv that exactly 6 of them favor the new building project? f.) What is the probability that at least 6 of them favor the new building project? 8.) What is the probabilitv that at most 6 of them favor the new building project?
Answers
In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.
a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.
b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.
c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.
d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).
e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.
f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).
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Can y’all help me on doing Polynomial long division?
Answers
Math help please
Show work if possible
Answers
Answer:
a) t = -7
b) f = 12
c) k = -13
Step-by-step explanation:
a) t + 11 = 4
t = -7
b) f = 8+4
f = 12
c) 5 = 18 + k
-13 = k
Answer:
A= -7
B= 12
C= -13
Step-by-step explanation:
This is how I do it
A) Subtract 4 from each side, and when you do that you get 7=-t which makes the answer -7.
B) Add 8 to both sides and you get f=12.
C) Subtract 5 from each side, and when you do that you get -k=13 which makes the answer -13.
I hope this helps, and have a great day! :)
Also if you need more of an explanation I can help!
the probability level used by researchers to indicate the cutoff probability level (highest value) that will allow them to reject the null hypothesis is called .
Answers
The probability level used by researchers to indicate the cutoff probability level (highest value) that will allow them to reject the null hypothesis is called the alpha level.
Alpha level refers to a threshold value which is used to determine if a test statistic is statistically significant. In a statistical test, it demonstrates an acceptable probability of a Type I error. As alpha corresponds to a probability, it lies in the range of 0 to 1. The alpha level denoted as alpha or α refers to the probability of rejecting the null hypothesis when it is true. For example, a alpha level of 0.05 demonstrate a 5% risk of concluding that a difference exists when there is no actual difference.
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2 plus 2 and the amount
Answers
Answer:2+2=4
Step-by-step explanation: 2 plus 2 is 4
Answer: 2 + 2 = 4
Step-by-step explanation: 1 + 1 + 1 + 1 = 4
Simplify each rational expression. State any restrictions on the variables.
2x / 4 x²-2 x}
Answers
According to the question, the given rational expression is as follows:
Rational expression = \(\frac{2x}{4x^{2} -2x}\)
To simplify the given expression by performing factors on denominator:
\(4x^{2}-2x = 2x(2x-1)\)
Substituting these factors in the final expression, we get:
Rational expression = \(\frac{2x}{4x^{2} -2x}=\frac{2x}{2x(2x-1)}=\frac{1}{2x-1}\)
Therefore, the final answer for the given expression is \(\frac{1}{2x-1}\).
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what’s the square root of 50, 147,96 and -8 square root 16
Answers
square root of 14796 = 6 square root 411
square root of -8 = 2 square root 2 i
square root of 16 = 4
solve for x 9x + 1 equals 25 + x edg 2020?
x=2
x=3
x=4
x=5
Answers
Find the direction cosines and direction angles of the vector.(Give the direction angles correct to the nearest degree.)
‹2, -4, -2›
Answers
The direction cosines of the vector are 1/√6, -2/√6, and -1/√6, respectively. The direction angles of the given vector are 23°, 130°, and 153° (correct to the nearest degree).
Let's determine the direction cosines and direction angles of the vector ‹2, -4, -2›.
The direction cosines of a vector in space are proportional to the cosine of the angle it makes with each of the axes. Thus, for a vector ‹a,b,c›, the direction cosines, l,m,n, corresponding to the x, y, and z-axes, respectively, can be given by:
l = a/√(a²+b²+c²),
m = b/√(a²+b²+c²),
n = c/√(a²+b²+c²)
Let's solve for the direction cosines for the given vector:
Given, vector is ‹2, -4, -2›.
∴ a = 2, b = -4, c = -2
Hence, the direction cosines of the vector are as follows:
l = a/√(a²+b²+c²)⇒ 2/√(2²+(-4)²+(-2)²)⇒ 2/√24⇒ 2/2√6⇒ 1/√6m = b/√(a²+b²+c²)
⇒ -4/√(2²+(-4)²+(-2)²)
⇒ -4/√24
⇒ -4/2√6
⇒ -2/√6n = c/√(a²+b²+c²)
⇒ -2/√(2²+(-4)²+(-2)²)
⇒ -2/√24⇒ -2/2√6
⇒ -1/√6
Therefore, the direction cosines of the vector are 1/√6, -2/√6, and -1/√6, respectively.
Now let's calculate the direction angles:
cos(α) = l/√(l²+m²+n²)
cos(β) = m/√(l²+m²+n²)
cos(γ) = n/√(l²+m²+n²)
Substituting the values we get,
cos(α) = 1/√6 / √((1/√6)² + (-2/√6)² + (-1/√6)²)
cos(β) = -2/√6 / √((1/√6)² + (-2/√6)² + (-1/√6)²)
cos(γ) = -1/√6 / √((1/√6)² + (-2/√6)² + (-1/√6)²)
On simplifying, we obtain:
cos(α) = 0.4082 ≈ 23°
cos(β) = -0.8165 ≈ 130°
cos(γ) = -0.4082 ≈ 153°
Hence, the direction angles of the given vector are 23°, 130°, and 153° (correct to the nearest degree).
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over what interval(s) of θ is tan ( θ ) > 0 ? select all that apply.a.0<∅<π/2b.π/2 < ∅ < πc.π < ∅ < 3π/2d.3π/2 < ∅ < 2π
Answers
The interval(s) of θ where tan(θ) > 0 are 0 < θ < π/2 and π < θ < 3π/2.
To determine the interval(s) of θ where tan(θ) > 0, we need to consider the sign of the tangent function in different quadrants of the unit circle.
Recall that the tangent function is positive in the first and third quadrants of the unit circle.
In the first quadrant (0 < θ < π/2), tan(θ) > 0.
In the third quadrant (π < θ < 3π/2), tan(θ) > 0.
Therefore, the correct answer is:
a. 0 < θ < π/2
c. π < θ < 3π/2
So, the interval(s) of θ where tan(θ) > 0 are 0 < θ < π/2 and π < θ < 3π/2.
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Which of the following parametric curves trace out the unit circle (possibly more than once)? (a) (cost, sin t) (b) (sin2t, cos t) (c) (sin(), cos()) (d) (sin 2t, cos 2t) 0sts 2元
Answers
The parametric curves that trace out the unit circle are (a) (cost, sin t) and (c) (sin t, cos t).
(a) In the parametric curve (cost, sin t), the x-coordinate is given by cost and the y-coordinate is given by sin t. By using the trigonometric identity cos^2 t + sin^2 t = 1, we can see that the x-coordinate squared plus the y-coordinate squared equals 1, which represents the equation of the unit circle. Therefore, this curve traces out the unit circle.
(c) Similarly, in the parametric curve (sin t, cos t), the x-coordinate is given by sin t and the y-coordinate is given by cos t. Again, by applying the trigonometric identity sin^2 t + cos^2 t = 1, we find that the equation of the unit circle is satisfied. Hence, this curve also traces out the unit circle.
(b) The parametric curve (sin 2t, cos t) does not trace out the unit circle. The x-coordinate is given by sin 2t, which has a period of π. As a result, the curve does not cover the entire unit circle.
(d) Similarly, the parametric curve (sin 2t, cos 2t) also does not trace out the unit circle. The x-coordinate is given by sin 2t, which has a period of π. Hence, the curve only covers half of the unit circle.
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Mrs. Reeves has 20 identical boxes. She knows that she has 2 boxes of pens, 10 boxes of paper, 2 boxes of crayons, and 6 box3es of glue. She opens one box. What is the probability it is glue?
Answers
Answer:
3/10
Step-by-step explanation:
Probability box opened is glue = number of boxes that contain glue / total number of boxes
6/20
To transform to the simplest form. divide both the numerator and the denominator by 2
3/10
Allison wants to cut out a rectangle with an area of 54 inches. What are the
possible whole number lengths and So widths of the re
Answers
Answer:
1 and 54
2 and 27
3 and 18
6 and 9
Step-by-step explanation:
Answer:
Multiple Possibilities:
1 x 54
2 x 27
3 x 18
6 x 9
Step-by-step explanation:
Use the general solution to solve 5 -6x = 8x + 17
Answers
1. Get everything simplified
2. Get all variables on one side
3. Get all constants on one side
4. Get the variable by itself (no coefficient)
5. Simplify your answer.
(Can someone please help me with this math test will give you brainlist and all my points please and thank you!)The common ratio of a geometric sequence is 3/2 the first term of the sequence is -2. What is the second term of the sequence
Answers
Answer:
Step-by-step explanation:
first term = a=-2
second term= ar=-2*(3/2)=-3
hope this helps
hope im not so late
the units of the correlation are the same as the units of y.
Answers
The units of the correlation are the same as the units of the variable y.
The correlation coefficient measures the strength and direction of the linear relationship between two variables, usually denoted as x and y. The correlation coefficient is a dimensionless quantity that ranges from -1 to +1. However, the units of the correlation are the same as the units of the variable y.
This means that if y is measured in a specific unit (e.g., meters, kilograms, dollars), the correlation will also have the same unit.
The reason for this is that the correlation is calculated based on the values of the variables themselves, without any conversion or transformation of the units. Therefore, the units of the correlation will directly reflect the units of the variable y.
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The substitution method:
Solve for x in the second equation and substitute it into the first equation. The result is
✔ 2(–3 + 2y) + 5y = –6.
The elimination method:
To eliminate x,
✔ multiply the second equation by –2
and then add the equations.
If the coefficient of y in the first equation was
–4 instead of 5, then the system would have
✔ infinitely many solutions.
Answers
Answer:
thankyouuuuuuu.
Step-by-step explanation:
1. C
2. multiply the second equation by -2
3. Infinitely many solutions
thank you op
60 apples are shared between abbie betty and carol in the ratios 1:3:x, where x>3. The number of apples in carols share is 18 more than the number of apples in bettys share. Find x
Answers
The value of x that satisfies the given conditions is 6. Let's solve the problem step by step.
We are given that the apples are shared in the ratios 1:3:x, where x > 3. This means that the total number of parts in the ratio is 1 + 3 + x = 4 + x.
To find the number of apples in each person's share, we divide the total number of apples (60) by the total number of parts in the ratio (4 + x):
Number of apples in each part = Total number of apples / Total number of parts
= 60 / (4 + x)
Now, we are given that the number of apples in Carol's share is 18 more than the number of apples in Betty's share. Therefore, we can set up the equation:
Number of apples in Carol's share = Number of apples in Betty's share + 18
Using the ratios, we can express the number of apples in each person's share:
Number of apples in Betty's share = 3 * (Number of apples in Abbie's share)
Number of apples in Carol's share = x * (Number of apples in Abbie's share)
Substituting these values into the equation, we get:
x * (Number of apples in Abbie's share) = 3 * (Number of apples in Abbie's share) + 18
Simplifying the equation, we have:
x * (60 / (4 + x)) = 3 * (60 / (4 + x)) + 18
To solve for x, we can multiply both sides of the equation by (4 + x) to eliminate the denominators:
x * (4 + x) * (60 / (4 + x)) = 3 * (4 + x) * (60 / (4 + x)) + 18 * (4 + x)
Simplifying further:
60x = 3 * 60 + 18 * (4 + x)
60x = 180 + 72 + 18x
42x = 252
x = 6
Therefore, x = 6.
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How far is Melissa from the point where Jake is standing?
Answers
Answer:
95.4 yards maybe
Step-by-step explanation:
just used pythagoras theorem
In a lab experiment, a population of 250 bacteria is able to triple every hour. Which equation matches the number of bacteria in the population after 8 hours?
Answers
Answer: 5,250
Step-by-step explanation:
250x3=750
750x7
how many groups of 1/5 are in 4
Answers
Answer:
20
Step-by-step explanation:
To find this, we need to figure out what 1/5 is as a decimal
5/5 = 1, so 5 groups of 1/5 equals 1
Multiply this by 4, 20 groups of 1/5, or 20/5 = 4
Now we confirm this
1/5=0.2
4/0.2=20
So it is true
Hope this helps!^^
n engineering school reports that 59% of its students are male (M), 33% of its students are between the ages of 18 and 20 (A), and that 20% are both male and between the ages of 18 and 20. What is the probability of a random student being chosen who is a female and is not between the ages of 18 and 20
Answers
Answer:
The probability of a random student being chosen who is a female and is not between the ages of 18 and 20 is 0.28 or 28%.
Step-by-step explanation:
we can use the principle of inclusion-exclusion and the given information about the probabilities.
Let's denote the event of a student being male as M, the event of a student being between the ages of 18 and 20 as A, and the event of a student being female as F.
We are given the following probabilities:
P(M) = 59% = 0.59
P(A) = 33% = 0.33
P(M ∩ A) = 20% = 0.20
We want to find the probability of a random student being chosen who is a female (F) and is not between the ages of 18 and 20 (¬A).
Using the principle of inclusion-exclusion, we can calculate this probability as:
P(F ∩ ¬A) = P(F) - P(F ∩ A)
To calculate P(F), we need to find the complement of P(M) (since P(F) + P(M) = 1):
P(F) = 1 - P(M) = 1 - 0.59 = 0.41
Now let's calculate P(F ∩ A):
P(F ∩ A) = P(A) - P(M ∩ A) = 0.33 - 0.20 = 0.13
Finally, we can calculate the probability of a random student being chosen who is a female and is not between the ages of 18 and 20:
P(F ∩ ¬A) = P(F) - P(F ∩ A) = 0.41 - 0.13 = 0.28
Therefore, the probability of a random student being chosen who is a female and is not between the ages of 18 and 20 is 0.28 or 28%
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What is the median of the data set?
{7, 4, 2, 0, 12, 7,3}
Select from the drop-down menu to correctly complete the statement.
The median of the data set is Choose... 0, 4, 5, 7, 12
Answers
Answer:
4
Step-by-step explanation:
To find the median (middle) of the data set, first arrange the numbers in order: 0, 2, 3, 4, 7, 7, 12. Now find the middle number: 4.
Hope it helps!
Answer:
4
Step-by-step explanation:
What Is The Difference Between Apparent Capacity And Actual Capacity Of A Glass Vessel? IN SURFACE AREA AND VOLUME!!?
Answers
The apparent capacity of a glass vessel refers to its perceived size or volume based on external dimensions, while the actual capacity represents the true volume of the vessel, taking into account both interior and exterior dimensions.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
people attend a party. Each person shakes hands with at most other people. What is the maximum possible number of handshakes, assuming that any two people can shake hands at most once
Answers
The maximum possible number of handshakes at the party can be calculated using the formula n(n-1)/2, where n is the number of people attending. This formula is derived from the fact that each person can shake hands with every other person except themselves.
Let's assume that there are n people attending the party. In order to maximize the number of handshakes, we want each person to shake hands with every other person except themselves.
Now, let's consider the first person. They can shake hands with (n-1) other people, as they cannot shake hands with themselves. Similarly, the second person can shake hands with (n-1) other people, but they have already shaken hands with the first person, so they can only shake hands with (n-1)-1 = (n-2) remaining people.
Following this pattern, the third person can shake hands with (n-1)-2 = (n-3) people, the fourth person can shake hands with (n-1)-3 = (n-4) people, and so on. The last person, the nth person, can shake hands with (n-1)-(n-2) = 1 person.
By summing up the number of handshakes for each person, we get (n-1) + (n-2) + (n-3) + ... + 1, which is the sum of the first (n-1) natural numbers. This sum can be calculated using the formula n(n-1)/2.
Therefore, the maximum possible number of handshakes at the party is n(n-1)/2.
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