Tiffany's effective interest is compounded weekly is 0.1604% greater than the compounded semiannually.
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Given,
The interest rate i= 8.145%
Number of weeks in an year n= 52
We know,
Effective interest rate =\((1+\frac{i}{n})^{n}-1\)
Substitute the values
\(R_{1}=(1+\frac{0.08145}{52})^{52}-1\\ R_{1}= 0.084789\)
Case 2
Compounded semiannually
\(R_{2}=(1+\frac{0.08145}{2})^{2}-1\\ R_{2}=0.083108\)
The difference is
\(R_{1}-R_{2}= 0.084789-0.083185\)
=0.001604
=0.1604%
Hence, the Tiffany's effective interest is compounded weekly is 0.1604% greater than the compounded semiannually
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is 50.11111111... a rational number answer fast ill give brainliest
Answer:
the answer is irrational
Find the quotient. (5x4 – 3x2 + 4) ÷ (x + 1)
Answer:
A
Step-by-step explanation:
The quotient is 5x³ -5x² + 2x -2.
What is Synthetic Division?Synthetic division is typically used to identify the zeroes of polynomials and is described as "a simplified method of dividing a polynomial with another polynomial equation of degree 1." This division method requires less human calculation effort than the lengthy division method.
Given:
(5\(x^4\) – 3x² + 4) ÷ (x + 1)
So, the division is
(x+1) | (5\(x^4\) – 3x² + 4) | 5x³ -5x² + 2x -2
5\(x^4\) + 5x³
___________
-5x³ - 3x²
-5x³ - 5x²
____________
2x² + 4
2x² + 2x
____________
4 - 2x
-2 - 2x
_______
6
Hence, the quotient is 5x³ -5x² + 2x -2.
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7. Jasmine buys a pack of 15 socks for $9.00. Shawn buys a pack of 20 socks for
$11.00. Write a ratio to represent they paid to the number of socks. Who got a better
deal on socks? Explain.
Answer: Well if you buy a pack of socks with 15 for $9 you are not getting the best deal over buying a pack of socks with 20 for $11. The reason behind this is because each sock is worth $0.6 meaning that you are only paying two extra dollars for five socks which would have normally cost $3. Shawn (with the 20 pack) is saving $1.
d(1)=12 d(n)=d(n−1)⋅(−6) what is the fourth term?
Answer:
-822
Step-by-step explanation:
Not sure how to explain.
Answer:
-18
Step-by-step explanation:
d(1) = 1/12
d(2)=d(1) • (-6)=-1/2
d(3)=d(2)•(-6)=3
d(4)=d(3)•(-6)=-18
Help me pleaseeeeee!!
Answer:
A
Step-by-step explanation:
A construction worker pulls a five-meter plank up the side of a building under construction by means of a rope tied to one end of the plank (see figure). Assume the opposite end of the plank follows a path perpendicular to the wall of the building and the worker pulls the rope at a rate of 0.26 meter per second. How fast is the end of the plank sliding along the ground when it is 1.4 meters from the wall of the building? (Round your answer to two decimal places.
The end of the plank is sliding along the ground at a rate of approximately -0.08 m/s when it is 1.4 meters from the wall of the building. The negative sign indicates that the end of the plank is sliding in the opposite direction.
To find how fast the end of the plank is sliding along the ground, we can use related rates. Let's consider the position of the end of the plank as it moves along the ground.
Let x be the distance between the end of the plank and the wall of the building, and y be the distance between the end of the plank and the ground. We are given that dx/dt = 0.26 m/s, the rate at which the worker pulls the rope.
We can use the Pythagorean theorem to relate x and y:
x² + y² = 5²
Differentiating both sides of the equation with respect to time, we get:
2x(dx/dt) + 2y(dy/dt) = 0
At the given moment when x = 1.4 m, we can substitute this value into the equation above and solve for dy/dt, which represents the rate at which the end of the plank is sliding along the ground.
2(1.4)(0.26) + 2y(dy/dt) = 0
2(0.364) + 2y(dy/dt) = 0
0.728 + 2y(dy/dt) = 0
2y(dy/dt) = -0.728
dy/dt = -0.728 / (2y)
To find y, we can use the Pythagorean theorem:
x² + y² = 5²
(1.4)² + y² = 5²
1.96 + y² = 25
y² = 23.04
y = √23.04 ≈ 4.8 m
Substituting y = 4.8 m into the equation for dy/dt, we have:
dy/dt = -0.728 / (2 * 4.8) ≈ -0.0757 m/s
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please help on 30–31
Step-by-step explanation:
30-option c
because only crows r black in appearance
31-option d
thats the option which represents the question asked
In a recent survey, 45% indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of fourteen people and ask them to name their favorite flavor of ice cream. (a) How many of those in the sample would you expect to name chocolate? (Round your answer to 2 decimal places.) Expected number of people (b) What is the probability exactly eight of those in the sample name chocolate? (Round your answer to 4 decimal places.) Probability (c) What is the probability eight or more name chocolate? (Round your answer to 4 decimal places.) Probability
a) The expected number of people who would name chocolate in the sample is approximately 6.30. b) The probability of exactly eight people naming chocolate is given by \(P(X = 8) = (14 C 8) (0.45^8) (1 - 0.45)^{(14 - 8)\)
c) The probability of eight or more people naming chocolate sum the probabilities of exactly eight, nine, ten, eleven, twelve, thirteen, and fourteen people naming chocolate
(a) To find the expected number of people who would name chocolate in the sample, we multiply the percentage of people who prefer chocolate by the sample size. In this case, 45% is equivalent to 0.45, so we calculate the expected number as 0.45 * 14 = 6.30. Rounding to two decimal places, we expect approximately 6.30 people in the sample to name chocolate.
(b) To calculate the probability of exactly eight people naming chocolate, we use the binomial probability formula. The formula is \(P(X = k) = (n C k) * p^k * (1 - p)^{(n - k)\), where n is the sample size, k is the number of successes (people naming chocolate), p is the probability of success (45% or 0.45), and (n C k) represents the number of combinations. Substituting the values, we have \(P(X = 8) = (14 C 8) * (0.45^8) * (1 - 0.45)^{(14 - 8)\). Evaluating this expression gives us the probability of exactly eight people naming chocolate.
(c) To find the probability of eight or more people naming chocolate, we sum the probabilities of exactly eight, nine, ten, eleven, twelve, thirteen, and fourteen people naming chocolate. Using the same binomial probability formula as before, we calculate the probabilities for each number of successes and add them together to obtain the probability of eight or more people naming chocolate.
Note: Without additional information about the distribution or assumptions, we assume that the survey results are representative of the population and that the responses are independent and identically distributed.
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The perimeter of a triangle is 64'. If one side is x feet, the second side is 3x + 1 feet and the third
side is 4x - 9 feet, find the length of each side.
Find
the
values
of
x
and y shown in picture
Answer:
you should post the problem and we can help you
Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and sd = 15. what conclusion can be inferred about an individual score that corresponds to a z value of 1.0?
A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.
What is a z-value?A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:
\(Z=\frac{x\;-\;u}{\delta}\)
Where:
x is the sample mean or observed data.u is the mean.δ is the standard deviation.Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.
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Complete Question:
Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?
a.) it falls in the general region of the population
distribution
b.) it falls in the common region of the distribution
c.) it is likely to come from the healthy distribution
d.) it is unlikely to come from the healthy distribution
10 kids are randomly grouped into an a team with five kids and a b team with five kids. each grouping is equally likely here are two kids in the group, alex and his best friend jose. what is the probability that alex and jose end up on the same team?
There are a total of (10 choose 5) possible ways to randomly group the 10 kids into two teams of 5. The probability that Alex and Jose end up on the same team is 7/31 or approximately 0.2258 (rounded to 4 decimal places). This is because we are choosing 5 kids out of 10 for one team, and the remaining 5 kids automatically make up the other team.
To calculate the probability of Alex and Jose ending up on the same team, we can think of it as choosing 3 more kids to be on their team out of the remaining 8 kids. There are (8 choose 3) ways to do this. Therefore, the probability of Alex and Jose ending up on the same team is:
(8 choose 3) / (10 choose 5) = 0.357 or approximately 35.7%
So there is a 35.7% chance that Alex and Jose will end up on the same team when the 10 kids are randomly grouped into an A team and a B team.
Since the 10 kids are randomly grouped into two teams, we can use combinations to determine the possible groupings. The total number of ways to divide the kids into two groups of 5 is given by the combination formula:
Total groupings = C(10, 5) = 10! / (5! * 5!) = 252
Now, let's consider the groupings where Alex and Jose are on the same team. There are 8 other kids left, and we need to select 3 of them to complete the team of 5. So, the number of groupings with Alex and Jose together is given by:
Groupings with Alex and Jose together = C(8, 3) = 8! / (3! * 5!) = 56
Finally, we can find the probability of Alex and Jose being on the same team by dividing the number of groupings with them together by the total groupings:
Probability = (Groupings with Alex and Jose together) / (Total groupings) = 56 / 252 = 7/31
So, the probability that Alex and Jose end up on the same team is 7/31 or approximately 0.2258 (rounded to 4 decimal places).
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Find 30% of 70. HELPPP
Answer:
21
Step-by-step explanation:
70 · .30 = 21
- A new media platform, JP Productions, uses a model to discover the maximum profit
it can make with advertising. The company makes a $6,000 profit when the
platform uses 100 or 200 minutes a day on advertisement. The maximum profit
of $10,000, can occur when 150 minutes of a day's platform is used on
advertisements. Which of the following functions represents profit, P (m), where m
is the number of minutes the platform uses on advertisement?
Option B. The function that represents the profit, P(m), where m is the number of minutes the platform uses on advertisements is: P(m) = -1.6(x - 150)² + 10000.
The capability that addresses the benefit, P(m), where m is the quantity of minutes the stage utilizes on promotions is:
P(m) = - 1.6(x - 150)² + 10000
This is on the grounds that we know that the greatest benefit of $10,000 happens when the stage utilizes 150 minutes daily on notices, and the benefit capability ought to have a most extreme as of now. The capability is in the vertex structure, which is P(m) = a(x - h)² + k, where (h,k) is the vertex of the parabola and a decides if the parabola opens upwards or downwards.
The negative worth of an in the capability shows that the parabola opens downwards and has a most extreme worth at the vertex (h,k). The vertex is at (150,10000), and that implies that the most extreme benefit of $10,000 happens when the stage utilizes 150 minutes daily on ads.
In this way, the capability that addresses the benefit, P(m), where m is the quantity of minutes the stage utilizes on ads is P(m) = - 1.6(x - 150)² + 10000. The other given capabilities don't match the given circumstances for the most extreme benefit, and in this way, they are not fitting to address the benefit capability of JP Creations.
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find the slope of the lines graphed below
Answer:
use formula
slope m =(y2-y1)/(x2-x1)
Step-by-step explanation:
for first one
(x1,y1)=(2,1)
(x2,y2)=(0,-3)
now
slope m =(y2-y1)/(x2-x1)=(-3-1)/(0-2)=-4/-2=2
try other thank you hope it helps
Please help!! URGENT!! I don’t understand
Answer: 14%
Step-by-step explanation:
Our formula is i=prt but we're trying to find the rate (r) so we'll rearrange it to become r=i/pt.
i = $245
p = $7000
t = 3/12= 0.25 years
\(r=\frac{245}{(7000)(0.25)} \\r = 0.14\)
Which dimensions cannot create a
triangle?
• three angles measuring 25° 65°, and 90°
• three angles measuring 50°, 30°, and 100°
• three sides measuring 5 in., 12 in., and 13 in.
• three sides measuring 4 ft, 8 ft, and 14 ft
Answer:
three angles measuring 50°, 50°, 50° because they would add up to 150°. a triangles angles can only add up to 180°
Step-by-step explanation:
Answer:
three sides measuring 4 ft, 8 ft, and 14 ft
Step-by-step explanation:
The sum of the 3 angles of a triangle add to 180
three angles measuring 25° 65°, and 90° 25+65+90 =180
• three angles measuring 50°, 30°, and 100°50+30 +100 = 180
The sides of a triangle a<b<c (a+b) >c
• three sides measuring 5 in., 12 in., and 13 in.
(5+12)>13 true
• three sides measuring 4 ft, 8 ft, and 14 ft
(4+8) >14 false
If segment BD is congruent to segment BC, BD=4x-18, BC=x+3, and AC=34, find AB
If segment BD is congruent to segment BC, and BD = 4x - 18, BC = x + 3, and AC = 34, then AB = 31/x.
What is meant by Congruent angles?Congruent angles are two or more angles that are exactly the same. As a result, the lengths of these angles are equal. Angle measurement is the same for congruent angles. A regular pentagon, for example, has five sides and five angles, each of which is 108 degrees. Angles in a regular polygon will always be congruent regardless of size or scale. Congruent angles are another name for equal angles. Angles that are congruent are those that are vertically opposite each other. Congruent angles are those formed by the intersection of two parallel lines and a transversal.Let the equation be AB + BC = AC
substitute the values in the above equation, we get
AB + x + 3 = 34
simplifying the value of x,
Subtract A B from both sides AB + x + 3 - AB = 34 - A B
x + 3 = 34 - AB
Subtract 3 from both sides,
x + 3 - 3 = 34 - AB - 3
x = -AB + 31
Plug in this value of x into the line segments to find BC and AC.
Where, BC = x + 3
substitute the value of x in the above equation, we get
BC = [-AB + 31 ] + 3
BC = -AB + 34
Then, AB + BC = AC
x = -AB + 31
AB = 31/x
Hence, If segment BD is congruent to segment BC, and BD = 4x - 18,
BC = x + 3, and AC = 34, then AB = 31/x.
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What are the greatest common factor of 9a^b and 30ab^3?
Answer: 3ab IF a^b does NOT mean a to the power of b!
I believe you mean 9a²b and 30ab³
If you really mean 9aᵇ and 30ab³, then the GCF is 3a.
Step-by-step explanation:
the factors of 9 are 3*3 The factors of 30 are 2*3*5.
The only common factor of 9 and 30 is 3
a is a common factor of a and a²
b is a common factor of b and b³
Shelly earns a base salary of $220 per week plus commission on her
sales at a retail store. Last week her sales totaled $6,550 and she
earned a total of $691.60 for the week. What percent commission does
Shelly earn? Round to the nearest tenth if necessary.
The percentage she earned as commission from sales is 7.2%
PercentagePercentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%". The term "percentage" was adapted from the Latin word "per centum", which means "by the hundred". Percentages are fractions with 100 as the denominator. In other words, it is the relation between part and whole where the value of whole is always taken as 100. a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100.
Data;
salary = $220total sales = $6550Total earned = $691.60percentage of commission = ?To determine the percentage of commission, we should subtract the salary from the total amount earned for the week.
691.60 - 220 = 471.6
She earned $471.6 on commissions only last week. Let's find the total percentage on her sales
Percentage commission = 471.60 / 6550 * 100
Percentage commission = 7.2%
Her commission is 7.2 percent of sales
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can someone please help me with this i don’t understand:(
Answer:
domain = neg infinity, infinity
range = neg infinity, infinity
Step-by-step explanation:
domain is asking x values which the graph will pass through. since the line is continuous, it touches EVERY x value, same with range and y values.
Measuring the height of a California redwood tree is a very difficult undertaking because these trees grow to heights of over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person and the thickness of the bark of the tree. The data in the analysis represent the height, diameter at breast height of a person, and bark thickness for a sample of 21 California redwood trees.
a. ) State the multiple regression equation.
b. ) Briefly explain your interpretation of the two slopes in this equation.
c. ) Interpret the findings. Detail the meaning of all the p-values (for each independent variable and F statistic), r square, and adjusted r square.
Summary Output
Regression Statistics
Multiple R 0. 886444087
R Square 0. 78578312
Adjusted R Square 0. 761981244
Standard Error 22. 59816752
Observations 21
ANOVA
df SS MSF Significance F
Regression 2 33718. 47752 16859. 23876 33. 01349577 9. 50E-07
Residual 18 9192. 189151 510. 6771751
Total 20 42910. 66667
Coefficients Standard error t-stat P-value lower 95%
Intercept 62. 14112783 13. 50306426 4. 602001934 0. 000221273 33. 77224256
Diameter at breast height 2. 05671274 0. 442797529 4. 644815303 0. 000201409 1. 126429653
Bark thickness 15. 64180216 7. 148285403 2. 188189374 0. 042086628 0. 623811831
a) Height = 62.14112783 + 2.05671274 * Diameter at breast height + 15.64180216 * Bark thickness.
b) The slopes indicate the impact of diameter at breast height and bark thickness on tree height.
c) The model is significant (p < 0.05) with a high R Square (0.78578312), indicating good predictability of height based on variables.
a) The different relapse condition can be expressed as:
Level = 62.14112783 + 2.05671274 * Width at bosom level + 15.64180216 * Bark thickness
b) The two slants in the situation address the connection between the level of a California redwood tree and the width at bosom level (DBH) and the bark thickness.
The slant for the distance across at bosom level (DBH) is 2.05671274. This shows that for each unit expansion in the DBH of a tree, the anticipated level of the tree increments by roughly 2.06 units, it are held consistent to expect any remaining factors.
The slant for bark thickness is 15.64180216. This proposes that for each unit expansion in the bark thickness of a tree, the anticipated level of the tree increments by roughly 15.64 units, expecting any remaining factors continue as before.
c) The discoveries show that the various relapse model is genuinely huge in foreseeing the level of California redwood trees.
The p-values for both the breadth at bosom level and bark thickness are not exactly the customary edge of 0.05, showing that the two factors have a critical relationship with the level of the trees.
The F-measurement (33.01349577) is likewise critical with an exceptionally low p-esteem (9.50E-07), showing that the general model is ideal for the information.
The coefficient of assurance (R Square) is 0.78578312, demonstrating that around 78.6% of the changeability in the level of the redwood trees can be made sense of by the relapse model.
The changed R Square (0.761981244) represents the quantity of indicators and changes the R Square worth as needs be.
The standard blunder (22.59816752) addresses the typical distance between the noticed qualities and the anticipated qualities by the model.
In outline, the outcomes propose that both width at bosom level and bark thickness are significant elements in assessing the level of California redwood trees. The model by and large shows a solid match and gives important bits of knowledge into foreseeing tree level in light of these factors.
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Three families track their distance while traveling to the band competition each family recorded data in different form which family has the fastest speed Rodriguez family Martin family or brown family
Answer:yaba
Step-by-step explanation:
yaba
2x-5y=13;x= -3,0,3
Solve the equation for y
Y=
Answer:
hi i hope this helps
what's the x= -3,0,3 why does it have 3 numbers
If f(x) = 2x – 6 and g(x) = x – 2^2, find each value.
g(–3) + 13
a.–3
b.–8
c.–2
d.8
please help with my math
Answer:
B.) \(6^{\frac{1}{2}}\)
Step-by-step explanation:
Use the exponent rule that states \(a^{\frac{1}{m}}=\sqrt[m]{a}\). For this problem, let
a=6
m=2
So,
\(\sqrt6=6^{\frac{1}{2}}\)
Solve the following quadratic equation by factoring:
x^2 + 2x - 8 = 0
Answer: x = -4 and x = 2.
To factor a quadratic equation in the form of x^2 + bx + c = 0, we need to find two numbers that when multiplied together, give us c, and when added or subtracted, give us b.
We need to find two numbers whose product is -8 and whose sum is 2. These numbers are 4 and -2, so we can write:
x^2 + 2x - 8 = (x + 4)(x - 2) = 0
Setting each factor to zero, we get:
x + 4 = 0 or x - 2 = 0
Solving for x in each equation, we get:
x = -4 or x = 2
So, the solutions to the equation x^2 + 2x - 8 = 0 are x = -4 and x = 2.
HELP PLS I HAVE TO FINISH THIS IN 20 MINUTES PLS HELP!!!!!
Answer:
answer is b
Step-by-step explanation:
the dot filled in means that its equal to 12 and above
when it's not filled it means that its not equal to 12
A group of toxicologists investigated the impact of exposure to low oxygen on the mortality of rice weevels. In an experiment, 31,388 of 31,421 rice weevils were found dead after exposure to nitrogen gas for 4 days.. In a second experiment, 23,516 of 23,676 rice weevils were found dead after exposure to nitrogen gas for 4 days. In a second experiment, 23,516 of 23,676 rice weevils were found dead after exposure to nitrogen gas for 3.5 days. Conduct a test of hypothesis to compare the mortality rates of adult rice weevils exposed to itrogen and the two exposure times. Is there a significant difference (at a=0.10) in the mortality rates?
**Give the null and alternative hypotheses. Let p^1 represent the proportion of rice weevils found dead in the first experiment and p^1 represent the proportion of rice weevils found dead in the second experiment. Choose correct answer below*****
A) H^0: (p^1-p^2)>0, H^a(p^1-p^2)=0
B) H^0:(p^1-p^2) =/ (does not equal) , H^a: (p^1-p^2)=0
C) H^0:(p^1-p^2)=0, H^a: (p^1-P62)=0, H^a:(p^1-p^2)<0
D) H^0:(p^1-p^2)=0, H^a:(p^1-p^2)>0
E) H^0:(p^1-p^2)<0, H^a: (p^1-p^2)=0
F) H^0:(p^1-p^2)=0, H^a:(p^1-p^2) =/ (does not equal) 0
The correct answer is F) H^0: (p^1-p^2)=0, H^a: (p^1-p^2) ≠ 0, which represents the appropriate null and alternative hypotheses for testing the mortality rates of rice weevils exposed to nitrogen gas for different exposure times.
To conduct a test of hypothesis to compare the mortality rates of rice weevils exposed to nitrogen gas for different exposure times, we need to formulate the null and alternative hypotheses. The null hypothesis (H^0) states that there is no significant difference in the mortality rates between the two exposure times, while the alternative hypothesis (H^a) states that there is a significant difference.
In this case, let p^1 represent the proportion of rice weevils found dead in the first experiment and p^2 represent the proportion of rice weevils found dead in the second experiment. The null hypothesis (H^0) is that the difference in proportions (p^1 - p^2) is equal to zero, indicating no difference in mortality rates. The alternative hypothesis (H^a) is that the difference in proportions is not equal to zero, indicating a significant difference in mortality rates between the two exposure times.
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What is 3 1/2?
A. -2/-7
B. -3 1/2
C. 3 1/3
D. -2/7