Marta Perez’s savings account has a principal of $1800. It earns 6 percent interest compounded semiannually. How much is the compound interest after 1 year?
Answers
The compound interest after 1 year on Marta Perez's savings account would be $109.62. The correct option is D
To solve this problemWe can use the formula for compound interest:
\(A = P * (1 + r/n)^(n*t)\)
Where
A is the overall sum, including interest.P = The principal ($1800)r = Periodic Interest Rate (6% or 0.06)n is the number of annual compounding periods (two for semiannually).(1) T = Number of yearsSubstituting the given values into the formula:
\(A = $1800 * (1 + 0.06/2)^(2*1)\)
Simplifying the equation:
\(A = $1800 * (1 + 0.03)^2\)
\(A = $1800 * (1.03)^2\)
A = $1800 * 1.0609
A = $1909.62
To calculate the compound interest, we subtract the principal amount from the total amount:
Compound Interest = A - P
= $1909.62 - $1800
= $109.62
Therefore, the compound interest after 1 year on Marta Perez's savings account would be $109.62.
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Related Questions
Which expression is equivalent to 2(m − 4) + 1?
A. 2m − 7
B. 2m − 3
C. 2m + 9
D. 2m + 10
Answers
Answer: The answer it A
2(m-4)+1
2m-8+1
2m-7
2(m-4)+1
You would do distributive property which you would do 2×4 which is 6+1=7 which therefore it would be
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mathstatistics and probabilitystatistics and probability questions and answersthe accompanying data are a subset of data read from a graph in the paper "ladies first? a field study of discrimination in coffee shops." + the data are the waiting times (in seconds) between ordering and receiving coffee for 19 female customers at a boston coffee shop. (a) calculate the mean and standard deviation for this data set (in seconds). (round
Question: The Accompanying Data Are A Subset Of Data Read From A Graph In The Paper "Ladies First? A Field Study Of Discrimination In Coffee Shops." + The Data Are The Waiting Times (In Seconds) Between Ordering And Receiving Coffee For 19 Female Customers At A Boston Coffee Shop. (A) Calculate The Mean And Standard Deviation For This Data Set (In Seconds). (Round
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The accompanying data are a subset of data read from a graph in the paper "Ladies First? A Field Study of Discrimination in Coffee Shops." + The data are the waiting times (in seconds) between ordering and receiving coffee for 19 female customers at a Boston coffee shop. (a) Calculate the mean and standard deviation for this data set (in seconds). (Round your answers to four decimal places.) mean standard deviation (b) Delete the observation of 380 and recalculate the mean and standard deviation (in seconds). (Round your answers to four decimal places.)
mean
standard deviation
s
5
How do these values compare to the values calculated in part (a)? When the observation of 380 was excluded from the data set, the meanmea
Answers
To part (a). provide a thorough analysis, it would be necessary to compare the recalculated mean and standard deviation from part (b) to those obtained in
(a) For the given data set, which represents the waiting times (in seconds) between ordering and receiving coffee for 19 female customers at a Boston coffee shop, the mean and standard deviation were calculated. Unfortunately, the image provided is blurred, making it difficult to determine the exact values obtained using Minitab software. However, Minitab is a statistical software commonly used for data analysis, so it can be assumed that accurate calculations were performed.
The mean and standard deviation are important statistical measures used to describe the central tendency and variability of a data set, respectively. Without the specific values, it is not possible to provide a detailed comparison between the calculations in part (a) and the recalculations in part (b) after excluding the observation of 380.
However, in general, the mean represents the average value of the data set and provides an indication of the typical waiting time for the female customers at the coffee shop. A higher mean would suggest longer waiting times on average, while a lower mean would indicate shorter waiting times.
The standard deviation, on the other hand, measures the dispersion or spread of the data points around the mean. A higher standard deviation indicates greater variability or inconsistency in the waiting times, while a lower standard deviation suggests that the waiting times are more consistent or tightly clustered around the mean.
To provide a thorough analysis, it would be necessary to compare the recalculated mean and standard deviation from part (b) to those obtained in part (a). However, since the specific values are not available, a detailed comparison cannot be made.
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assuming we are testing a hypothesis using the one-way anova test with more than 2 independent normally distributed populations, how can the f-statistic be calculated?
Answers
One measure we use to determine the F-statistics is the ratio of the variability within and across groups when we are doing the one way-ANOVA test.
We are interested in discovering whether there are significant differences between the means of the populations when doing a one-way ANOVA test on more than two independent normally distributed populations. A test statistic used to reach this conclusion is the F-statistic.
The ratio of the variability of the between group and within group is the a tool that we use to find the F-statistics.
F is equal to (SSB/k-1) / (SSW/N-k)
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5 - Which statement best explains whether the equation y equals one half times x minus 2 represents a linear or nonlinear function?
The equation represents a nonlinear function because it has an independent and a dependent variable, each with an exponent of 1.
The equation represents a nonlinear function because its graph contains the points (−1, −2), (0, 0), and (1, 2), which are not on a straight line.
The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.
The equation represents a linear function because its graph contains the points (−1, −2), (0, 0), and (1, 2), which are on a straight line.
Answers
Step-by-step explanation:
the 3rd answer option is correct.
both x and y appear only with the exponent 1, so, this function is a line and therefore a linear function.
the other answers are nonsense. the specified points do NOT lie on the functional line (or are NOT contained by the graph of the function).
The box plot represents the miles Emilia ran after school for 21 days.
3
4
5
9
10
6 7
8
Miles Run
Part B
Can you use the box plot to find the IQR? Explain.
Answers
The IQR is approximately 1 unit.
How we find the IQR?Yes, you can use the box plot to find the IQR (Interquartile Range).
The IQR is the distance between the upper quartile (Q3) and the lower quartile (Q1) of the data. In a box plot, Q1 is the bottom of the box, and Q3 is the top of the box. The IQR is the height of the box.
Therefore, in the given box plot, you can find the IQR by measuring the height of the box and calculating the difference between Q3 and Q1.
The length of the whiskers and the positions of the outliers are not used in calculating the IQR.
So, looking at the box plot, we can see that the height of the box is approximately 4 units (the units are not specified in the question).
The bottom of the box (Q1) is at approximately 3 units, and the top of the box (Q3) is at approximately 7 units.
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A ball dropped from the roof of a 120 foot high building took 4 seconds to reach the ground. What was the average speed of the ball during its fall?
A
480 feet per second
B
124 feet per second
C
30 feet per second
D
130 feet per second
Answers
Answer:
answer is C
average speed=distance÷time=120÷4=30
Re-write the quadratic function below in Standard Form
y= 9(x - 1)(x + 7)
Answers
The value of quadratic function is,
⇒ y = 9x² + 54x - 63
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The equation is,
⇒ y = 9 (x - 1) (x + 7)
Now, We can find the quadratic equation as;
⇒ y = 9 (x - 1) (x + 7)
⇒ y = 9 (x² + 7x - x - 7)
⇒ y = 9 (x² + 6x - 7)
⇒ y = 9x² + 54x - 63
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Solve the following inequality: 2x^2 + x - 1/x^2-x<1
Answers
Answer:
−1<x<0 or 0<x<1
Step-by-step explanation:
Answer:
I believe it is : -1 < x < 0 OR 0 < x < 1
Or if you want it in interval notation form:
(-1, 0) ∪ (0, 1)
Step-by-step explanation:
hope this helps, lol! <3
PLEASE HELPPPPPPPPP:(
Answers
Answer: The first one, y = 3x - 4
Hope this helps :)
Answer:
Option 1, which is y= 3x - 4
Please solve this pleaseeeed
Answers
Answer:
multiply input number by 2
Step-by-step explanation:
So, this is our function
y=2x===>
(3, 6), (4, 8), (5, 10), (6, 12), (7, 14)
so according to this functionality the output part is equal to input part multiplied by 2
Noah finds some nickels and pennies in his change purse. How many coins does he
have if he has 100 nickels and 120 pennies? How many coins does he have if he has n
nickels and p pennies?
Answers
He has 100 + 120 = 220 coins in his purse.
He has n + p coins if he has n nickels and p pennies.
William purchase a new car the total price for he will pay for the car including interest in 17,880 if he splits his car payment over 60 months how much will he pay each month
Answers
Answer:
The Amount amount he pays each month is 298
Step-by-step explanation:
Given:
Total amount of new car (including interest) = 17,880
Payment is splited over 60 months i.e time = 60 months
Required:
How much will be paid each month
To find the amount to be paid each month use the formula:
Monthly payment = Total amount / time
\( = \frac{17880}{60} = 298 \)
Therefore, the amount William pays each month is 298
Ivory created a scaled copy of triangle C using a scale factor of 4.
What is the height of Ivory's copy?
Answers
Answer:
Height of the Ivory's copy = 12 units
Step-by-step explanation:
Formula to get the scaled copy of any figure is,
Scale factor = \(\frac{\text{Dimensions of the image triangle}}{\text{Dimensions of the original triangle}}\)
For triangle C,
Scale factor for the image created = 4
Height of triangle C = 3 units (From the figure attached)
By substituting these values in he formula,
4 = \(\frac{\text{Height of the image triangle}}{3}\)
Height of the image triangle = 4 × 3 = 12 units
Therefore, height of the Ivory's copy will be 12 units.
A farmer uses 920 grams of grain to feed his 8 chickens. At this rate how many grams of grains does he use to feed 100 chickens
Answers
Answer: 11,500 grams
Step-by-step explanation: 920/8=115 115*100= 11,500
If f(x) = {x and g(x)=x? - 8, simplify the expressions (fog)(4), (f of)(8), (gof)(x), and (fog)(x). (fog)(4)=0 (f of)(8)= (gof)(x)= (fog)(x) = 0
Answers
For given functions, f(g(4)) = 2, f(f(8)) = ∛2 and f(g(x)) = ∛ ( x² - 8 ).
Describe a function.A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range and a co-domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
In math, various function types exist. Among the crucial kinds are:
When there is a mapping for a range for each domain between two sets, this is known as an injective function or one to one function.
When more than one element is mapped from domain to range, the function is said to be surjective or to be an onto function.
a polynomial function is a function made by of polynomials
Now,
For functions f(x) = ∛ x and g(x) = x²-8
f(g(x)) = ∛ (x²-8)
f(f(x)) = ∛ ∛ x
g(f(x)) = ( ∛ x ) ² - 8
Therefore,
f(g(4))=∛4²-8= ∛16 - 8
= ∛8 = 2
f(f(8)) = ∛ ∛ 8 = ∛2
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Right function are
f(x)=∛x and g(x)=x^2-8
This box is 3/4 inch long, 1/2 inch wide, and 1/4 inch deep. What is the volume of the box?
A: 3/16 inch ^3
B: 3/8 inch ^3
C: 3/32 inch ^3
D: 1 1/2 inch ^3
Answers
The volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3
Calculating VolumeFrom the question, we are to determine the volume of the box
The volume of a box is given by the formula,
V = l × w × h
Where V is the volume
l is the length
w is the width
h is the height or depth
From the given information,
l = 3/4 inch
w = 1/2 inch
h = 1/4 inch
Thus,
Volume of the box = 3/4 × 1/2 × 1/4
Volume of the box = 3/32 inch³
Hence, the volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3
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the dose-response for a specific drug is f ( x ) = 100 x ^2 /x^2 0+.09 f(x)=100x2x2+ 0.09 , where f ( x ) f(x) is the percent of relief obtained
Answers
We can find the x-value corresponding to a given f(x) by rearranging the equation and taking the square root of both sides.
At first, we will rearrange the equation to get the x-value in terms of f(x). After rearranging, the equation becomes x2 = (f(x) (x2 + 0.09))/100.
Then, we will take the square root of both sides of the equation to get the x-value in terms of f(x) alone. After taking the square root, the equation becomes x = √((f(x) (x2 + 0.09))/100).
Finally, we will substitute the values of f(x) in the equation to get the corresponding x-value. For example, if f(x) = 50, then x = √((50 (x2 + 0.09))/100). Solving this equation, we get x = 0.49.
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Write 14 x 14 x 14 as a power.
Answers
Answer:
14^3
Step-by-step explanation:
You put the base number to the power of how many numbers are there.
Answer:
14^3 aka 14 to the 3rd power
Step-by-step explanation:
4 1/2 = 1 7/8y please help im struggling
Answers
Answer:
12/5
Step-by-step explanation:
Answer:
41×8y=17×2
328y= 34
y= 34\328
y= 9.5
Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% off the original price. Store B advertises that it is reducing the refrigerator’s price by $150. When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal. Let p represent the refrigerator’s original price. Which equation models this situation?
Answers
What is the y-intercept of the line perpendicular to the line y = 3x + 3 that includes the point (3, 1)?
Answers
Given:
The line perpendicular to the line y = 3x + 3 includes the point (3, 1).
Required:
We need to find the line equation.
Explanation:
The given line y =3x+3 is of the form.
\(y=m_1x+b\)\(where\text{ slope,}m_1=3\text{ and b=3.}\)The slope of the line is a negative reciprocal of the perpendicular to the line.
\(m=negative\text{ reciprocal of }m_1\)\(m=-\frac{1}{3}\)Consider the line equation.
\(y=mx+b\)Substitute m=-1/3 in the equation.
\(y=-\frac{1}{3}x+b\)Substitute x =3 and y =1 in the equation to find the value of b.
\(1=-\frac{1}{3}(3)+b\)\(1=-1+b\)Add 1 to both sides of the equation.
\(1+1=-1+b+1\)\(2=b\)We know that b is the y-intercept.
Final answer:
The y-intercept of the line perpendicular to the line y = 3x + 3 includes the point (3, 1) is 2.
felix has a bookcase that is 2 feet taller than it is wide the expression 4x+2 (x+2)represents the total length of a board that can be cut for the top bottom 2 shelves and 2 sides of the bookcase what does x represent in this expression
Answers
Answer:
x represents the width of the bookcase.
Step-by-step explanation:
Let w be the width of the bookcase.
Bookcase that is 2 feet taller than it is width.
Length = w+2 feet.
Length of a board that can be cut for the top bottom 2 shelves and 2 sides of the bookcase.
Top and bottom = w+w = 2w
2 shelves = w+w = 2w
2 sides of the bookcase = 2(w+2)
Total length of a board that can be cut for the top bottom 2 shelves and 2 sides of the bookcase is
\(2w+2w+2(w+2)=4w+2(w+2)\) ...(i)
It is given that total length of a board that can be cut for the top bottom 2 shelves and 2 sides of the bookcase is
\(4x+2(x+2)\) ...(ii)
From (i) and (ii) we get
\(x=w\)
Therefore, x represents the width of the bookcase.
Hehe sooo I kinda need help bakugo won't help me..
Answers
Answer:
-8/3 or -2 2/3
Step-by-step explanation:
You would change 4 to 4/1 and then set up the equation
4/1 x -2/3
4x-2=-8
1x3=3
you would then get -8/3 which is then turned into -2 2/3
(sorry i love multiplying and dividing fractions lol)
Answer:
SHI.TTY HAIR YOU DONT NEED HELP YOUR SMARTER THAN DENKIII
Step-by-step explanation:
The number of employees for a certain company has been decreasing each year by 5%. If the company cumently has 860 employees and this rate continues, find the number of employees in 10 years
The number of employees in 10 years will be approximately
(Round to the nearest whole number as needed)
Answers
Based on the exponential decay equation, the number of employees for the company that has been decreasing yearly by 5%, will in 10 years be approximately 515.
What is exponential decay equation?The exponential decay equation or function gives the value in t years that has a constant ratio of decrease.
Exponential decay equation is one of the two exponential functions. The other is the exponential growth equation.
The annual decrease in the number of employees = 5%
The current number of employees in the company = 860
The expected time = 10 years.
The exponential decay equation is as follows, y = 860 x 0.95^10.
y = 860 x 0.95^10 = 515
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Answer the question please
Answers
Answer:
I believe it is 9ft
Step-by-step explanation:
Kedwin has $150.00 and wants to buy a new pair of headphones that cost $175.00 plus 10% shipping. He decides to
wait until the headphones go on sale. What is the smallest sale rate that he needs to be able to afford them?
A.10%
B.20%
C.25%
D.30%
PLZZZ ANSWER I have 30 minutes til the end of term and have 40 questions left :[
Answers
Answer:
I believe its 20% thats counting the 10% shipping cost
Step-by-step explanation:
Hope it helps
what is x+5=8 step by step
Answers
Answer:
x = 3
Step-by-step explanation:
x+5=8
x+5-5=8-5
X=3
Answer:
x = 3
Step-by-step explanation:
basically 2 ways
1st: Transposing
1) x + 5 = 8
2) transpose or transfer +5 to the other side
NOTE: transposing numbers and variables switches the signs (positive -> negative and vice versa)
3) x = 8 - 5
x = 3
2nd: Property of Equality (whatever u do one one side, you do the same to the other)
1) x + 5 = 8
2) x + 5 - 5 = 8 - 5
x = 3
the main focus is to isolate x, or to make it be alone in one side of the equation
OFFERING 88 POINTS AND BRAINLIEST TO THE FIRST ANSWER PLEASE HELP ME FAST
Answers
Answer
\(168in^{2}\)
Step-by-step explanation:
SA=2(wl+hl+hw)
2·(6·2+9·2+9·6)
=168
Are the expressions -0.5(3x + 5) and
-1.5x + 2.5 equivalent? Explain why or why not.
Answers
Answer:
No, because the first equation equals -1.5x + 2.5 when simplified, but when the second equation is simplified it equals 1
Which system of equations is equivalent to this system? 5x+10=3(x+y) x+7=3x+7
Answers
Answer:
In equation form the answer is x=0y=10/3 but in point form the answer is (0,10/3)
Step-by-step explanation: