Answer:
$93
Step-by-step explanation:
12(3.75+4.00)
= 93
Solve for x.
x = [?]
3x + 18 4x + 15
Answer:
x = 21
Step-by-step explanation:
You deposit $1000 each year into an account earning 7% interest compounded annually. How much will you have in the account in 30 years?
SOLUTION
Given the question in the question tab, the following are the solution steps to answer the question.
STEP 1: Write the formula for calculating Compound Amount
\(A=P(1+\frac{r}{n})^{nt}\)Where A =final amount
P=initial principal balance
r=interest rate
n=number of times interest applied per time period
t=number of time periods elapsed
STEP 2: Write the given parameters
\(P=1000,r=\frac{7}{100}=0.07,t=30,n=1\text{ since it is compounded annually}\)STEP 3: Calculate the compounded amount
\(\begin{gathered} A=1000(1+\frac{0.07}{1})^{1\times30} \\ A=1000(1.07)^{30} \\ A=1000(7.612255043) \\ A=7612.255043 \\ A\approx\text{\$}7612.26\text{ } \end{gathered}\)Hence, the amount in the account after 30 years is $7612.26 to the nearest cents
Evaluate the expression for the given value of the variable 5 x (h + 3) for h = 7
the length of a ruler is 170cm,if the ruler broke into four equal parts.what will be the sum of the length of three parts
Answer:
Step-by-step explanation:Srry it's bit rough...
a radion station usa 1\6 of its time for the news. in a 12 hour day, how many hours are used for music & entertainment?
Answer:
10 hours
Step-by-step explanation:
In order to answer this question, you must assume that all air time not spent on news is spent on music & entertainment. That would usually not be the case, as there would usually be advertisements and public service programming along with everything else.
The time spent on news is ...
(1/6)(12 hours) = 2 hours
If the rest is spent on music and entertainment, then ...
12 -2 = 10 . . . hours are used for music and entertainment
Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| + 3 > 3
The correct graph of the inequality ( |x| + 3 > 3) is attached accordingly.
Here is how the above was solvedRecall that the absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5.
A number's absolute value can be conceived of as its distance from zero along the real number line.
So, given |x| + 3 > 3
Add minus three to both sides
|x| + 3 + (-3) > 3 + (-3)
|x| > 0
Thus, the absolute value of x is
x > 0 or x < -0
put in the form of inequality, we have
x > 0 or x < 0
Learn more about absolute value;
https://brainly.com/question/20383699
#SPJ1
Find the coordinates of the midpoint of the segment whose endpoints are R(9, 3) and S(-1, -9).
Answer:
\((4, -3 )\)
General Formulas and Concepts:
Pre-Algebra I
Order of Operations: BPEMDASAlgebra I
Midpoint Formula: \((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )\)Step-by-step explanation:
Step 1: Define
R (9, 3)
S (-1, -9)
Step 2: Find midpoint
Substitute: \((\frac{9-1}{2}, \frac{3-9}{2} )\)Subtract: \((\frac{8}{2}, \frac{-6}{2} )\)Divide: \((4, -3 )\)Write an inequality for the following statement.
a is greater than or equal to 5
Answer:
a ≥ 5
Step-by-step explanation:
how would the following triangle be classified?
Isosceles right
Scalene acute
Isosceles acute
Scalene right
Answer:
Scalene Right
Step-by-step explanation:
Isosceles right: An isosceles right triangle is a triangle that has 90 degrees as one of its angles and has 2 congruent sides. Based off the image, it appears that none of the sides are equal in length, so this is incorrect.
Scalene Acute: A scalene acute triangle is a triangle that has all angles under 90 degrees and has different sides. While the given triangle has unique sides, one angle (90 degrees) is not under 90 degrees, so this is incorrect.
Isosceles Acute: An isosceles acute triangle is a triangle that has all angles under 90 degrees and has two congruent sides. This triangle doesn't have 2 equal sides or all angles under 90 degrees, so this is incorrect.
Scalene Right: A scalene right triangle is a triangle that has 90 degrees as one of its angles and has all unique sides. This triangle has a 90 degree angle and unique sides, so this is correct.
How do I solve this by taking square roots ? 100m² - 5=44
Answer:
\(\frac{7}{10}\)
Step-by-step explanation:
100\(m^{2}\) -5 = 44 Add 5 to both sides
100\(m^{2}\) = 49 Divide both sides by 100
\(m^{2}\) = \(\frac{49}{100}\)
\(\sqrt{m^{2} }\) = \(\frac{\sqrt{49} }{\sqrt{100} }\)
m = \(\frac{7}{10}\)
8.1 CHECK YOUR UNDERSTANDING - TURN ME IN!
1. A recent Pew Research center poll asked a random sample of teens "In general, how much time would you say
you spend with your friends in person." 36 % of the 739 respondents said "too little". We will estimate the
population proportion with 99% confidence.
a) Interpret the confidence level.
36%
b) Construct and interpret a 99% confidence interval for the population proportion.
If you created a 95% confidence interval instead, would it be narrower or wider? Explain.
c) if you created a 95% confidence interval instead would it be narrower or wider
AP STATS
a) The confidence level of 99% means that we are 99% sure that the interval contains the true population proportion.
b) The 99% confidence interval for the population proportion is given as follows: (0.3145, 0.4055). It means that we are 99% sure that the true population proportion is between 0.3145 and 0.4055.
c) The 95% confidence interval would be narrower, as it would have a lower critical value, thus the margin of error would also be lower.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.
The parameters for this problem are given as follows:
\(\pi = 0.36, n = 739\)
The lower bound of the interval is given as follows:
0.36 - 2.575 x sqrt(0.36 x 0.64/739) = 0.3145.
The upper bound of the interval is given as follows:
0.36 + 2.575 x sqrt(0.36 x 0.64/739) = 0.4055.
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ1
Dry Clean USA has finished cleaning 30% of their 730 orders. How many orders do they still need to finish cleaning?
Step-by-step explanation:
100% = 730
1% = 100%/100 = 730/100 = 7.3
30% = 1% × 30 = 7.3 × 30 = 219
so, they finished 219 of their 730 orders.
that leaves 730 - 219 = 511 orders still to be finished.
What is the volume of this cylinder shown below?
Answer: 138.16 cubic feet (choice H)
This volume is approximate and occurs when you use pi = 3.14
==========================================================
Work Shown:
r = 2 ft = radius
h = 11 ft = height
V = volume of cylinder
V = pi*r^2*h
V = pi*2^2*11
V = pi*4*11
V = pi*44
V = 44pi .... exact volume in terms of pi
V = 44*3.14
V = 138.16 .... approximate volume and the final answer
Answer:”H”
Step-by-step explanation: just trust the process
A town has a population of 50,200 and grows at a rate of 9% every year. Which equation represents the town’s population after 2 years?
Answer:
A. P = 50,200(1 + 0.09)2
Answer:
P = 50200(1+0.09)²
Step-by-step explanation:
To find the answer to this question we use the equation new value = original value x \(d^{n}\), where d is the multiplier
We are told that our original value is 50200 and to find the multiplier we have to do 1 + 0.09. This is because the population is increasing by 9% which as a decimal is 0.09!
This means that our equation would be P = 50200(1+0.09)²
Hope this helps, have a lovely day! :)
Writing equations of lines
Write the equation of each line with the given information
Answer:
y = \(\frac{-3}{2}\) x + 2
Step-by-step explanation:
I can see the slight tracings of the slope triangle. I can see that you went down 3 and right 2. That would be a slope of \(\frac{-3}{2}\) and the y intercept is 2. That is where the line is crossing the y axis.
1.
Find the value of x if the volume of the cube is
125 cm?
co
X
IF YOU CAN PLEASE DO THEM ALL OR JUST DO NUMBER ONE.
Since Spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and computes the average number of leaves on a sample of trees. He created a scatter plot where the y-axis represents the average number of leaves on the trees, and the x-axis represents the number of weeks since Spring started.
Write a linear equation in slope-intercept form that can be used to approximate the data distribution using the two data points labeled on the best fit line.
Answer:
y=1x-b is thou answer
Answer:
um yeah i have that question but it isnt right?
Step-by-step explanation:
I dont know why it didnt work :(
Use the distance formula to determine the lengths of DE and AC.
Given:
The given coordinates are
\(\begin{gathered} A(x_1,y_1) \\ C(x_3,y_3) \\ D=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ E=(\frac{x_3+x_2}{2},\frac{y_3+y_2}{2}) \end{gathered}\)Required:
We need to find the length of DE and AC
Explanation:
By using distance formula
\(AC=\sqrt{(x_1-x_3)^2+(y_1-y_3)^2}\)now for DE
\(\begin{gathered} DE=\sqrt{(\frac{x_1+x_2}{2}-\frac{x_3+x_2}{2})^2+(\frac{y_1+y_2}{2}-\frac{y_3+y_2}{2})^2}^ \\ =\sqrt{\frac{(x_1+x_2-x_3-x_{2)}^2}{4}+\frac{(y_1+y_2-y_3-y_2)^2}{4}} \\ =\sqrt{\frac{(x_1-x_3)^2}{4}+\frac{(y_1-y_3)^2}{4}} \end{gathered}\)Final answer:
Part a:Cell phone usage grew about 23% each year from 2010 to 2016. If cell phone usage in 2010 was 43 million, write a function f(x) to model U.S. cell phone usage over that time period, where x is the number of years since 2010.
Part b estimate the cell phone usage in 2013.round to the nearest ten thousand.
Answer:
The function f(x) to model U. S. cell phone usage over the time period of 2010 to 2016 can be expressed as f(x) = 43 * (1.23^x), where x is the number of years since 2010. Part b: The estimated cell phone usage in 2013 can be calculated by substituting x = 3 into the function f(x) = 43 * (1.23^x). This yields an estimated cell phone usage of 68.4 million in 2013, which can be rounded to the nearest ten thousand to 68 million.
Step-by-step explanation:
Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 122.31 µg/l and a SD of 38.75 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l.
Required:
a. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead.
b. Explicitly state and check all conditions necessary for inference on these data.
c. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context.
d. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 ug/l?
Step-by-step explanation:
n = 52
x bar = 122.31
standard deviation sd = 38.75
1. the hypothesis:
null hypothesis
h0: μ ≤ 35
alternative hypothesis
h1: μ > 35
2.
we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.
population has to be normalsample size has to be more than 30. we have sample size = 52 in this question.3.
= \(\frac{122.31-35}{38.75/\sqrt{52} }\)
= 87.31/5.37
= 16.26
using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.
TDIST(16.26, 51, 1)
since p value is very small we reject the null and accept the alternate hypothesis.
4. from the result above the answer to this question is yes
The number 2/5 is both an blank and an blank
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
Learn more about ratios and fractions here:
https://brainly.com/question/2328454
#SPJ1
help please i will give brainliest
Answer:
Answers are in the picture I attached to this response.
In order to understand reasons why consumers visit their store, a local business conducts a survey by asking the next 100 people who visit their store to fill out a short survey. The business finds that 40 of the 100 people state that the main reason they visited the store was because the store is running a sale on coats that week. A confidence interval is constructed for the population proportion of consumers who would visit the store because of the coat sale. Which confidence interval would be the narrowest?
a. 90%
b. 99%
c. 95%
d. 85%
Answer:
d. 85%
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
The higher the confidence level, the higher the value of z, which means that the margin of error will be higher and the interval will be wider,
Which confidence interval would be the narrowest?
The one with the lowest confidence level. So the answer is d.
Question 8 (2 points) Saved
What are the ways to determine if a relation is a function? Select EACH correct
answer.
Passes a horizontal line test.
Passes vertical line test.
No repeating x values,
No repeating y values.
Answer: passes a horizontal AND vertical line test✅; no repeating x values✅
Step-by-step explanation:
To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.
Lastly, it can be a function if it has repeating y values.
An engineer is monitoring the liquid level in two tanks as they are being filled. The volume of the tank A after x minutes is represented by the equation y=75x +110. For tank B the engineer has created a table, shown below, from measurements taken while the tank is being filled
The two tanks differ in terms of Filling rates and initial volumes.
We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).
The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.
To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.
If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.
To know more about initial volumes .
https://brainly.com/question/30013901
#SPJ11
Round the United States population 316,984,361 to the nearest million.
Answer:
it would be 7,000,000
Step-by-step explanation:
you look at the 6 and the 9 and round up or leave it alone
The population of United States round to the nearest million is 317,000,000.
What is rounding of digit?Rounding is a process to estimate a particular number in a context.
Now the given population of United States is,
316,984,361
Now to round to the nearest million, look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, roundup.
So, the digit at the million place is 6.
The digit to the right is 9 which is greater than 5.
Thus the digit must round up.
Hence, the number to the nearest million becomes 317,000,000
Thus, the population of United States round to the nearest million is 317,000,000.
To learn more about rounding of number :
brainly.com/question/1285194
#SPJ2
A gardener has 920 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. garden bordered by a river Opens externally What dimensions would guarantee that the garden has the greatest possible area? shorter side: 0 Incorrect ft (feet) longer side: 920 Incorrect ft (feet) greatest possible area: 0 Incorrect ft2 (square-feet)
Answer:
splitting it evenly among all three sides gives us the greatest area. ( for example if we had to split the number 10 into 2 and find the greatest area, out of all possible ways 5*5 is the greatest). Two sides have to be equal since it's a rectangle.
918/3=306
So we can make the two equal sides 306, and the longer side 308 which makes sure that we have the greatest area.
306 * 308
Step-by-step explanation:
The energy transfer diagram represents the energy of a person diving into a pool. A wide arrow labeled gravitational potential energy 8000 J with a small arrow turning away from it labeled thermal energy ? J. The rest of the arrow goes forward labeled kinetic energy 7000 J. How much thermal energy is generated? 1000 J 2000 J 7000 J 15,000 J
Answer:
The amount of thermal energy that is generated is 1000 joules.
Step-by-step explanation:
Let consider the person diving into a pool as a closed system, that is, a system with only energy interaction with the surroundings. According to the First Law of Thermodynamics, which is a generalization of the Principle of Energy Conservation, the total energy of the system is neither destroyed, nor created, only transformed. The initial gravitational potential energy is transformed into translational kinetic and thermal energy. That is to say:
\(U_{g} - K - Q = 0\)
Where:
\(U_{g}\) - Gravitational potential energy, measured in joules.
\(K_{tr}\) - Translational kinetic energy, measured in joules.
\(Q\) - Thermal energy, measured in joules.
The thermal energy is now cleared:
\(Q = U_{g}-K\)
Given that \(U_{g} = 8000\,J\) and \(K = 7000\,J\), the amount of thermal energy that is generated is:
\(Q = 8000\,J - 7000\,J\)
\(Q = 1000\,J\)
The amount of thermal energy that is generated is 1000 joules.
Answer:
1000J
Step-by-step explanation:
EDGE2020
In a particular class of 24 students, 16 are men. What fraction of the students in the class are women?
The fraction of the students in the class are women is one-third (1/3)
How to calculate he fraction of the students in the class are womenIf there are 16 men in the class of 24 students, we can find the number of women by subtracting the number of men from the total number of students:
Number of women = Total number of students - Number of men
Number of women = 24 - 16
Number of women = 8
Therefore, there are 8 women in the class.
To find the fraction of students in the class who are women, we divide the number of women by the total number of students:
Fraction of students who are women = Number of women / Total number of students
Fraction of students who are women = 8 / 24
Fraction of students who are women = 1/3
So, one-third (1/3) of the students in the class are women.
Learn more about fraction at https://brainly.com/question/78672
#SPJ1
Sort these fractions in ascending order.
4/5
3/7
1/6
2/3
Answer:
1/6, 3/7, 2/3, 4/5
Step-by-step explanation: