The balance on Taylor's credit card is $2000 it has an interest rate of 12.5% she wants to compare the difference between paying $75 and $100 of the monthly balance how much does she save in interest and fees if she pays $100 instead of $75?
Answers
Answer:
so she saved 82 cents in the interest the month after
Step-by-step explanation:
case 1: payment is $75
interest on 2000 = 0.125/12×2000 = $20.83
so the actual repayment on the balance = (75-20.83) = $54.17
therefore,balance =$(2000-54.7)=$1945.83
interest in the next month = $20.27
case 2: payment is $100
interest on 2000 is still $20.83
repayment = $79.73
balance = $1920.27
interest in the next month = 20.01
so she saved 82 cents in the interest the month after
Answer:
$101
Step-by-step explanation:
Check link explanation.
Related Questions
Mrs. Beverly brought two quarts of juice to class.
How many cups of juice could she pour for the students?
Answers
Answer:
8
Step-by-step explanation:
1 quart=4 cups so 4x2=8
Find the value of x needed to make the equation below true.
Answers
Step-by-step explanation:
[tex]5(2x - 4) = 2(4x + 2) \\ 10x - 20 = 8x + 4 \\ 2x = 24 \\ x = 12[/tex]
2. For the data in the table does Y very directly with X if it does write an equation for the direct variation
Answers
Answer:no it doesn’t vary
Step-by-step explanation:because if you count them up there is no possibility that they match
Suppose you have a sample of 27 Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups, and who have an average gestation length of 17.4 days and a sample variance of 33.7 days. You want to test the hypothesis that Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups have a different gestation length than all Syrian hamsters.
Required:
Calculate the t- statistics.
Answers
Answer:
Test statistic t=1.2531.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups have a different gestation length than all Syrian hamsters (P-value=0.11).
Step-by-step explanation:
The question is incomplete: We need the gestation length of the population to perform the hypothesis test. We assume it to be 16 days (μ=16).
This is a hypothesis test for the population mean.
The claim is that Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups have a different gestation length than all Syrian hamsters.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=16\\\\H_a:\mu> 16[/tex]
The significance level is 0.05.
The sample has a size n=27.
The sample mean is M=17.4.
The sample variance is s^2=33.7 days^2.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=33.7^(0.5)=5.81.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{5.81}{\sqrt{27}}=1.1172[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{17.4-16}{1.1172}=\dfrac{1.4}{1.1172}=1.2531[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=27-1=26[/tex]
This test is a right-tailed test, with 26 degrees of freedom and t=1.2531, so the P-value for this test is calculated as (using a t-table):
[tex]P-value=P(t>1.2531)=0.11[/tex]
As the P-value (0.11) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups have a different gestation length than all Syrian hamsters.
If a track has 219 miles and takes 108 minutes to get there. Is the average speed 104 miles per hour
Answers
Answer:
122 miles per hour.
Step-by-step explanation:
Time:108 min ÷60 =1.8 hours
Speed = distance /time = 219/1.8 =122 miles per hour.
Hope this helps..
Answer:
No its 121.67 mph.
Step-by-step explanation:
Speed in miles per minute is 219/108 miles per minute
To convert to miles per hour we multiply by 60:
= 219 * 60 / 108
= 121.67 m p h.
Another question (sorry)
Answers
Answer:
19.99
Step-by-step explanation:
First you would multiply .44 by 16 to get 7.04
then you would add 12.95 to get 19.99
Cuanto es 1× -1× es x o no?
Answers
Answer:
[tex]1^x[/tex] is always 1, so [tex]1^x-1^x=0[/tex]
es0
dame grasias
si soi nuevo
My rule is: y= 1/3x+ 11/15 Find x, if y=1.
Answers
Answer:
x=5/4
Step-by-step explanation:
First, plug in 1 for y. Since a common denominator for the right side is 3, multiply both sides by 3 to get 3=x+11/5. Then multiply both sides by 5 to get 15=5x+11. Subtract 11 on both sides to get 4=5x. Finally divide by 5 to get x by itself and get x = 5/4.
A sequence is defined recursively by the formula F (n+1)=-2f(n). The 1st term of the sequence is -1.5. What is the next term in the sequence
Answers
Answer:
F(2)=3
Step-by-step explanation:
The first term is -1.5= f(1).
So F(1+1)=-2*f(1)= (-1.5)*(-2)=3
A nursery located in Florida uses a water meter to measure its water usage 1 point
in CCF. It is charged $0.36 per CCF of water. Its last meter reading was
123,692 and their present reading is 127,394. For this usage, the nursery was
charged $332.72*
True or false?
Answers
Answer:
Step-by-step explanation:
From the information given, their last meter reading was 123,692 and their present reading is 127,394. The difference between the last and the present meter reading is
127394 - 123692 = 3702
If the water meter measures its water usage in terms of 1 point in CCF, then the amount of CCF of water used is 3702. If the school is charged $0.36 per CCF of water, then for this usage, the charge would be
3702 × 0.36 = $1332.72
Therefore, it is false
Jenny has $20 in a savings account. The interest rate is 5% compounded annually. To the nearest cent, how much interest will she earn in 2 years?
Answers
Answer:
22.05
Step-by-step explanation:
3x - 7 = 8 looking for the answer to X
Answers
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]3x - 7 = 8[/tex]
[tex]3x = 8+7[/tex]
[tex]3x=15[/tex]
[tex]x=5[/tex]
Answer:
x=5
Step-by-step explanation:
Let's solve your equation step-by-step.
3x−7=8
Step 1: Add 7 to both sides.
3x−7+7=8+7
3x=15
Step 2: Divide both sides by 3.
3x/3=15/3
x=5
Which of the following is the absolute value parent function? A. F(X) = | x | + 1
B. F(x) = x^2
C. F(x) = | x |
D. F(x) = 1/x
Answers
Answer:
C. F(x) = | x |
Step-by-step explanation:
The parent function has no adornments, shifts, multipliers, offsets, reflections, or anything else.
The absolute value of x is written |x|. That is the parent absolute value function.
F(x) = |x|
Answer: C
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answers
Answer:
B. The graph cross the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10
Step-by-step explanation:
→Looking at the line as it increases, you can see that it intersects at the point of (0, 5) on the y-axis.
→The line on the graph is increasing from the point where x = -10, and stops at x = 2.
→The line then stays constant (basically meaning it doesn't increase/decrease, making it a horizontal line), strting from x = 2, to x = 10.
Looking at the points above, you can determine that the correct answer is "B. The graph cross the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10."
What is the sum of V-2 and V-18?
Answers
Answer:
=2v−20
Step-by-step explanation:
Let's simplify step-by-step.
v−2+v−18
=v+−2+v+−18
Combine Like Terms:
=v+−2+v+−18
=(v+v)+(−2+−18)
=2v+−20
Answer:
=2v−20
Simplify –2x3y × xy2.
Question 1 options:
A)
–3x4y3
B)
–2x4y3
C)
–2x3y4
D)
–12x4y3
Answers
Answer: B. -2x^4y^3
Step-by-step explanation:
Multiply the variables by each other.
-2x^3 * x = -2x^4
y * y^2 = y^3
Answer:
B) -2x4y3
Step-by-step explanation:
After several shares of the company stock was sold, a profit of $1320 was earned. The prophet was over 15% over 30 day period. How much were the shares worth when they were originally purchased
Answers
Answer:
$104430
Step-by-step explanation:
Let's recall the formula
PRT/100 = interest I
Where
P = principal/initial amount
R = rate
T= period or time
P =( 100*I)/(RT)
P =( 100*1320)/(15*(30/356))
P = 132000/1.264
P = $104430
7×{(-150)÷(10-10-5)}
Answers
Answer:
[tex]=210[/tex]
Step-by-step explanation:
[tex]7\times \left(-150\right)\div \left(10-10-5\right)\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:within\:parentheses}\:\left(10-10-5\right)\::\quad -5\\10-10-5\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\\10-10=0\\=0-5\\=0-5\\=-5\\=7\times \left(-150\right)\div \left(-5\right)\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:7\times \left(-150\right)\div \left(-5\right)\::\quad 210\\7\times \left(-150\right)\div \left(-5\right)[/tex]
[tex]\mathrm{Apply\:rule\:}-a\div \left(-b\right)\:=\:a\div \:b\\-1050\div \left(-5\right)=1050\div \:5=210\\=210[/tex]
Answer:
210
Step-by-step explanation:
7×{(-150)÷(10-10-5)}
remove the opposites
7×{(-150)÷(-5)}
divide
7×30
multiply
210
Use long division to find quotient below
Answers
the answer is in the photos
Mice and Pain Can you tell if a mouse is in pain by looking at its facial expression? A new study believes you can. The study1 created a "mouse grimace scale" and tested to see if there was a positive correlation between scores on that scale and the degree and duration of pain (based on injections of a weak and mildly painful solution.) The study's authors believe that if the scale applies to other mammals as well, it could help veterinarians test how well painkillers and other medications work in animals. 1"Of Mice and Pain", The Week, May 28, 2010, p. 21. 1. State the null and alternative hypotheses. 2.Since the study authors report that you can tell if a mouse is in pain by looking at its facial expression, do you think the data were found to be statistically significant? 3.If another study were conducted testing the correlation between scores on the "mouse grimace scale" and a placebo (non-painful) solution, should we expect to see a sample correlation as extreme as that found in the original study? 4. If another study were conducted testing the correlation between scores on the "mouse grimace scale" and a placebo (non-painful) solution, should we expect to see a sample correlation as extreme as that found in the original study, if the original study results showed no evidence of a relationship between mouse grimaces and pain?
Answers
Explanation:
1. a) Null hypothesis: There is no statistically significant relationship between the mouse grimace scale and the amount of pain felt by mouse.
b) Alternate hypothesis: There is a statistically-significant relationship between the mouse grimace scale and the amount of pain felt by mouse.
2. Yes, because a statistically significant data implies that there is sufficient evidence to believe the study, based on the results of the findings.
3. No, since the variables are different in this case. Here we are dealing with a non-painful solution so there may be no sample correlation as extreme as that found in the original study.
4. Possibly, because every hypothesis is an assumption until it is proven. Thus, in every statistical research, there may be different findings.
The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.3 years, with a standard deviation of 3.4 years. The winner in one recent year was 22 years old.
(a) Transform the age to a z-score.
(b) Interpret the results.
(c) Determine whether the age is unusual.
Answers
Answer:
Convert the age to a z-score:
Step-by-step explanation:
Let X be the random variable with mean 27.2 and standard deviation 3.8.
Here, the observation, x is 24.
The z-score of the winner's age is -1.56.
A negative z-score indicates that the value is below the mean.
The age of the winner is not considered unusual.
What is z-score?
A z-score also called a standard score is a measure of how many standard deviations a data point is away from the given mean of a distribution.
It measures the unusual or extreme a particular data point is compared to the rest of the distribution
We have,
(a)
To transform the age of the winner into a z-score, we use the formula:
z = (x - μ) / σ
where x is the value we want to transform, μ is the mean, and σ is the standard deviation.
So,
Substituting the values given,
z = (22 - 27.3) / 3.4
z = -1.56
The z-score of the winner's age is -1.56.
(b)
A z-score represents the number of standard deviations a data point is from the mean.
In this case, the winner's age is 1.56 standard deviations below the mean age of the winners.
A negative z-score indicates that the value is below the mean.
(c)
Compare the z-score to a threshold value.
A commonly used threshold for unusual values is z = ±2.
If the absolute value of the z-score is greater than or equal to 2, then the value is considered unusual.
So,
The absolute value of the z-score is less than 2 (|z| < 2), which means that the age of the winner is not considered unusual in the context of the distribution of the ages of the winners.
Thus,
The z-score of the winner's age is -1.56.
A negative z-score indicates that the value is below the mean.
The age of the winner is not considered unusual.
Learn more about z-score here:
https://brainly.com/question/15016913
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f(x)=4x-8 and g(x)=5x+6, find (f+g)(x)
Answers
Answer:
9x-2
Step-by-step explanation:
Since you are adding the two functions, you should first start adding like terms. 4x + 5x is 9x. -8 + 6 is -2. Thus the value of (f+g)(x) is 9x-2.
please help plzzzzzzzzzzzzzzzzzzzz
Answers
Answer: C,D are true
Step-by-step explanation:
Answer:
Step-by-step explanation:
C and D are both true the rest are false
Can someone please explain how to
find the mean , median , range, and interquartile range????
Answers
Median - first arrange the numbers from small to big than find the middle number and if they are two like when the numbers are of an even number than you add the two numbers and divide answer by 2.
Range - arrange the numbers from small to big than minus the smallest one from the biggest number.
Am not sure about the last one but I hope I was able to help you with this three.
A study will be conducted to examine a new medicine intended to reduce high blood pressure in adult men who have high blood pressure. As part of the study, a random sample of 40 men with high blood pressure will have their blood pressure measured, and then they will take the new medicine every day for one month. At the end of the month, their blood pressure will be measured again. Of the following, which is the best procedure to investigate whether there will be convincing statistical evidence of a change, on average, in blood pressure for men with high blood pressure who take the new medicine? (A) A one-sample z-test for a proportion (B) A two-sample z-test for a difference between proportions (C) A two-sample i-test for the difference between two means (D) A matched-pairs t-test for a mean difference (E) A chi-square test of independence
Answers
Answer:
Option D
Step-by-step explanation:
A matched pairs t-test is appropriate for this experiment. It compares two means that are from the same individual; the before drug administration and the after drug administration. It compares the before-and-after observations on the same subjects.
The best and convincing statistical evidence of a change, on average, in blood pressure is the t test.
What is t test?The test is one of the kinds of inferential statistics. It is deployed in decision making. As such, it involves the test to see if there is significant difference between the means of two groups, which may be related.
Hence, in this study, the best and convincing statistical evidence of a change, on average, in blood pressure is the t test.
Learn more about t test:https://brainly.com/question/15870238
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The functions u and w are defined as follows. u(x)=2x-2 w(x)=-2x^2+1 Find the value of w(u(5)).
Answers
Answer:
-127
Step-by-step explanation:
u(x)=2x-2
w(x)= -2x^2+1
w(u(5))=?
---------
u(5)= 2*5-2= 8
W(8)= - 2*64+1= -127
Answer:
that was the wrong answer this site sucks
what should be add to 7 3/5 to get 18
Answers
Answer:
[tex]10\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]7\frac{3}{5} + x = 18\\[/tex]
transformation : [tex]7\frac{3}{5} = \frac{(5*7) + 3}{5} = \frac{38}{5}[/tex]
[tex]\frac{38}{5} + x = 18\\\\x = 18 - \frac{38}{5} = \frac{(5*18) - 38}{5} = \frac{52}{5}[/tex]
[tex]\frac{52}{5} = 10\frac{2}{5}[/tex]
Answer:
[tex]10\frac{2}{5}[/tex]
Step-by-step explanation:
What should be add to [tex]7\frac{3}{5}[/tex] to get [tex]18[/tex] ?
[tex]18-7\frac{3}{5}=\\ \\=17\frac{5}{5}-7\frac{3}{5}\\\\\\=(17-7)+(\frac{5}{5}- \frac{3}{5})\\ \\=10+\frac{2}{5}\\ \\=10\frac{2}{5}[/tex]
7 over 4 times y equals 56
Answers
Answer:
[tex]y=32[/tex]
Step-by-step explanation:
[tex]\frac{7}{4}y=56\\\mathrm{Multiply\:both\:sides\:by\:}4\\4\cdot \frac{7}{4}y=56\cdot \:4\\\mathrm{Simplify}\\7y=224\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7y}{7}=\frac{224}{7}\\Simplify\\y=32[/tex]
The prior probabilities for events A1 and A2 are P(A1) = 0.20 and P(A2) = 0.80. It is also known that P(A1 ∩ A2) = 0. Suppose P(B | A1) = 0.25 and P(B | A2) = 0.05. (a) Are A1 and A2 mutually exclusive? They mutually exclusive. How could you tell whether or not they are mutually exclusive? P(B | A1) ≠ P(B | A2) P(A1) + P(A2) = 1 P(A1 ∩ A2) = 0 P(A1) ≠ P(A1 | A2) P(A2) ≠ P(A2 | A1) (b) Compute P(A1 ∩ B) and P(A2 ∩ B). P(A1 ∩ B) = P(A2 ∩ B) = (c) Compute P(B). (d) Apply Bayes' theorem to compute P(A1 | B) and P(A2 | B). (Round your answers to four decimal places.) P(A1 | B) = P(A2 | B) =
Answers
Answer:
(a) [tex]A_1[/tex] and [tex]A_2[/tex] are indeed mutually-exclusive.
(b) [tex]\displaystyle P(A_1\; \cap \; B) = \frac{1}{20}[/tex], whereas [tex]\displaystyle P(A_2\; \cap \; B) = \frac{1}{25}[/tex].
(c) [tex]\displaystyle P(B) = \frac{9}{100}[/tex].
(d) [tex]\displaystyle P(A_1 \; |\; B) \approx \frac{5}{9}[/tex], whereas [tex]P(A_1 \; |\; B) = \displaystyle \frac{4}{9}[/tex]
Step-by-step explanation:
(a)[tex]P(A_1 \; \cap \; A_2) = 0[/tex] means that it is impossible for events [tex]A_1[/tex] and [tex]A_2[/tex] to happen at the same time. Therefore, event [tex]A_1[/tex] and [tex]A_2[/tex] are mutually-exclusive.
(b)By the definition of conditional probability:
[tex]\displaystyle P(B \; | \; A_1) = \frac{P(B \; \cap \; A_1)}{P(B)} = \frac{P(A_1 \; \cap \; B)}{P(B)}[/tex].
Rearrange to obtain:
[tex]\displaystyle P(A_1 \; \cap \; B) = P(B \; |\; A_1) \cdot P(A_1) = 0.25 \times 0.20 = \frac{1}{20}[/tex].
Similarly:
[tex]\displaystyle P(A_2 \; \cap \; B) = P(B \; |\; A_2) \cdot P(A_2) = 0.80 \times 0.05 = \frac{1}{25}[/tex].
(c)Note that:
[tex]\begin{aligned}P(A_1 \; \cup \; A_2) &= P(A_1) + P(A_2) - P(A_1 \; \cap \; A_2) = 0.20 + 0.80 = 1\end{aligned}[/tex].
In other words, [tex]A_1[/tex] and [tex]A_2[/tex] are collectively-exhaustive. Since [tex]A_1[/tex] and [tex]A_2[/tex] are collectively-exhaustive and mutually-exclusive at the same time:
[tex]\displaystyle P(B) = P(B \; \cap \; A_1) + P(B \; \cap \; A_2) = \frac{1}{20} + \frac{1}{25} = \frac{9}{100}[/tex].
(d)By Bayes' Theorem:
[tex]\begin{aligned} P(A_1 \; |\; B) &= \frac{P(B \; | \; A_1) \cdot P(A_1)}{P(B)} \\ &= \frac{0.25 \times 0.20}{9/100} = \frac{0.05 \times 100}{9} = \frac{5}{9}\end{aligned}[/tex].
Similarly:
[tex]\begin{aligned} P(A_2 \; |\; B) &= \frac{P(B \; | \; A_2) \cdot P(A_2)}{P(B)} \\ &= \frac{0.05 \times 0.80}{9/100} = \frac{0.04 \times 100}{9} = \frac{4}{9}\end{aligned}[/tex].
Using probability concepts, along with conditional probability and Bayes Theorem, it is found that:
a) [tex]P(A1 \cap A2) = 0[/tex], thus yes, A1 and A2 are mutually exclusive.
b) The probabilities are: P(A1 ∩ B) = 0.05, P(A2 ∩ B) = 0.04.
c) The probability of event B is: P(B) = 0.09.
d) The probabilities are: P(A1|B) = 0.5555 and P(A2|B) = 0.4445.
-----------
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
P(B|A) is the probability of event B given that A. [tex]P(A \cap B)[/tex] is the probability of both A and B. P(A) is the probability of A.-----------
Bayes Theorem:
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
-----------
Item a:
Two events A and B are mutually exclusive if they cannot happen together.Since [tex]P(A1 \cap A2) = 0[/tex], yes, it can be said that events A1 and A2 are mutually exclusive.Item b:
Using conditional probability.
A1 and B:
[tex]P(B|A1) = \frac{P(A1 \cap B)}{P(A1)}[/tex]
[tex]0.25 = \frac{P(A1 \cap B)}{0.2}[/tex]
[tex]P(A1 \cap B) = 0.25(0.2) = 0.05[/tex]
A2 and B:
[tex]P(B|A2) = \frac{P(A2 \cap B)}{P(A2)}[/tex]
[tex]0.05 = \frac{P(A1 \cap B)}{0.8}[/tex]
[tex]P(A1 \cap B) = 0.8(0.05) = 0.04[/tex]
Item c:
P(B) is given by:
[tex]P(B) = P(A1 \cap B) + P(A2 \cap B) = 0.05 + 0.04 = 0.09[/tex]
Item d:
Applying Bayes Theorem
[tex]P(A1|B) = \frac{P(A1)P(B|A1)}{P(B)} = \frac{0.25(0.2)}{0.09} = 0.5555[/tex]
[tex]P(A2|B) = \frac{P(A2)P(B|A2)}{P(B)} = \frac{0.8(0.05)}{9} = 0.4445[/tex]
A similar problem is given at https://brainly.com/question/22428992
2x+8y=12. 3x-8y=11 solve
Answers
Answer:
x = 23/5 and y = 7/20
Step-by-step explanation:
2x + 8y = 12 and 3x - 8y = 11 are two given equations
Now,
Step 1:
2x + 8y = 12 ...(1)
3x - 8y = 11 ...(2)
Step 2:
From equation (2) we get the value of x
i.e.,
3x - 8y = 11
3x = 8y + 11
x = 8y + 11/3
Step 3:
Now,
Put the value of x = 8y + 11/3 in equation (1) we get,
i.e.,
2x + 8y = 12
2(8y + 11/3) + 8y = 12
16y + 22/3 + 8y = 12
16y + 22 + 8y(3)/3 = 12
16y + 22 + 24y/3 = 12
16y + 24y + 22 = 12 * 3
40y = 36 - 22
40y = 14
y = 14/40
y = 7/20
Step 4:
Now,
Substitute the value of y = 7/20 in equation (2) we get,
i.e.,
3x - 8y = 11
3x - 8(7/20) = 11
3x - 56/20 = 11
3x - 14/5 = 11
3x = 11 + 14/5
3x = 11 * 5 + 14/5
3x = 55 + 14/5
3x = 69/5
x = 69/3 * 5
x = 23/5
