Step-by-step explanation:
After you find y when x is the following you apply points on graph to get a straight line.
Diane deposits $400 into an account that pays simple interest at a rate of 5% per year. How much interest will she be paid in the first 2 years
(7th grade math)
Answer:
Simple interest is calculated by multiplying the principal (the initial amount of money deposited), the interest rate, and the number of years the money is on deposit.
To find out how much interest Diane will be paid in the first 2 years, we need to calculate the total interest earned over that time period.
First, we find the interest rate by multiplying the annual interest rate of 5% by .01 (to convert the percentage to decimal form)
0.05 * .01 = 0.05
Next, we find the total interest earned by multiplying the principal (400), the interest rate (0.05), and the number of years (2)
400 x 0.05 x 2 = 40
So, in the first 2 years, Diane will be paid $40 in interest on her deposit of $400.
Answer:
in total, Diane will be paid $20 + $40 = $60 in interest over the first 2 years.
Step-by-step explanation:
Simple interest is calculated as:
I = Prt
where:
I = Interest
P = Principal (initial amount deposited)
r = Interest rate (expressed as a decimal)
t = Time (in years)
So in this case, with a principal of $400 and an interest rate of 5% (or 0.05 as a decimal), the interest paid in the first year would be:
I = $400 * 0.05 * 1 = $20
And in the second year, it would be:
I = $400 * 0.05 * 2 = $40
So in total, Diane will be paid $20 + $40 = $60 in interest over the first 2 years.
Choose the correct answer. Find the unknown, k, by solving the following proportion: (k)/(1.2)=(4)/(3) 1.7 1.6 1.4 1.3
The correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.
To find the unknown value, k, in the proportion (k)/(1.2) = (4)/(3), we can cross-multiply and solve for k.
cross-multiplying the proportion, we have:
3k = 4 * 1.2
Multiplying the numbers:
3k = 4.8
To isolate k, we divide both sides of the equation by 3:
k = 4.8 / 3
Evaluating the division, we find:
k ≈ 1.6
Therefore, the correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.
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Which is the same as
25/100
A. 0.0025%
B. 0.025%
C. 0.25%
D. 2.5%
E. 25%
Answer:
the anwser is a i think im helping you out dont repoty
Compare the graph of g(x)=x2−3 with the graph of f(x)=x2
Answer:
g(x) is red and f(x) is blue. f(x) has been moved three units down the y-axis.
Answer:
x²-3 if x² vertical transformation shift DOWN 3 units
Step-by-step explanation:
vertical transformation shift DOWN 3 units
Independent Practice
Find the second, fifth, and ninth terms of each sequence.
an=−5+(n−1)7a subscript n baseline equals negative 5 plus left parenthesis n minus 1 right parenthesis 7
A.
–4, –1, 3
B.
7, 28, 72
C.
12, 33, 61
D.
2, 23, 51
Answer:
A.
2, 23, 51
Step-by-step explanation:
Substitute 2, 5, and 9 for n in the function and simplify in each case.
a2=−5+(2−1)(7)=2 a subscript 2 baseline equals negative 5 plus left parenthesis 2 minus 1 right parenthesis left parenthesis 7 right parenthesis equals 2
a5=−5+(5−1)(7)=23 a subscript 5 baseline equals negative 5 plus left parenthesis 5 minus 1 right parenthesis left parenthesis 7 right parenthesis equals 23
a9=−5+(9−1)(7)=51 a subscript 9 baseline equals negative 5 plus left parenthesis 9 minus 1 right parenthesis left parenthesis 7 right parenthesis equals 51
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. How many rides did Penelope get to ride if she spends $35 in all.
Answer:
Penelope get to ride 30 rides if she spends $35 in all
Step-by-step explanation:
r= ride
20 +0.50r =35
sibtract 20 on each side
0.50r = 15
divide esach side by 0.50
r= 30
The measure of an inscribed angle with the center of the circle in the interior of the angle is half the measure of its _____ arc. (Corollary 2 of the Inscribed Angle Theorem)
The measure of an inscribed angle with the center of the circle in the interior of the angle is half the measure of its intercepted arc.
According to Corollary 2 of the Inscribed Angle Theorem, when an angle is inscribed in a circle and the center of the circle lies in the interior of the angle, the measure of the inscribed angle is half the measure of its intercepted arc.
In other words, if we have a circle and an angle formed by two intersecting chords or secants, and the center of the circle is located within the angle, then the measure of the inscribed angle is equal to half the measure of the arc intercepted by the angle.
This corollary is a useful property that helps establish a relationship between inscribed angles and their intercepted arcs in a circle. It allows us to determine the measure of an inscribed angle by considering the corresponding intercepted arc, and vice versa.
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Georgia works at a book shop. She finds that when a book is chosen from the shop at random, the following probabilities are correct:
P( fiction )=0.34
P( paperback )=0.23
P( both fiction and paperback )=0.16
Work out P (neither fiction nor paperback ) as a decimal.
Answer:
0.59
Step-by-step explanation:
p(fiction) = 0.34 (fiction only and including fiction and paperback together)
p(paperback) = 0.23 (paperback only and including fiction and paperback together)
p(both fiction and paperback) = 0.16
p(fiction or paperback) = 0.34 + 0.23 - 0.16
p(friction or paperback) = 0.41
p(neither fiction nor paperback) = 1 - 0.41
p(neither fiction nor paperback) = 0.59
If x=2 and y = 5, evaluate the following expression:
2(3y – 4x)
Answer:
14
Step-by-step explanation:
2(3(5)-4(2))
2(15-8)
2(7)
14
30 POINTS!!!
Suppose f(x) = x2 and
g(x) = (1/3)^2. Which statement best compares the graph of g(x) with the graph of f(x)?
Image attached
Please help!!!
Answer:
A. The graph of g(x) is vertically compressed by a factor of 3.
Step-by-step explanation:
When there is a fraction, that means that there is a veritcal dilation.
Hope this helps! Good luck!
You are creating a 4-digit pin code. How many choices are there where exactly one digit appears more than once? Explain your answer.
There are 2,772 possible 4-digit pin codes where exactly one digit appears more than once.
To calculate the number of pin codes where exactly one digit appears more than once, we can use the following formula:
Number of pin codes = (Number of ways to choose the repeated digit) x (Number of ways to arrange the digits)
There are 10 ways to choose the repeated digit (any digit from 0 to 9), and there are 4 ways to arrange the repeated digit (it can appear in any of the four positions). Then, there are 9 choices for the remaining digit (any digit except for the repeated one), and 3 ways to arrange it (it cannot appear in the same position as the repeated digit). Therefore, the number of pin codes where exactly one digit appears more than once is:
Number of pin codes = 10 x 4 x 9 x 3 = 2,772.
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Find the inverse function.
-3x+1/2
Answer:
-2x-1 divided by 6
Step-by-step explanation:
Linear functions
The dog Brian drives the baby around pretty often, so
he started charging for gas. He charged a base fee of
$10, and the total cost after driving 5 miles was $30.
Write an equation that represents this situation.
How much does it cost to go 1 mile with Brian driving?
Answer:the answer to your question is -15
Step-by-step explanation:
Let's say the cost per mile with Brian driving is x dollars. Then, based on the given information, we know that the total cost after driving 5 miles is $30, which includes the $10 base fee. So:
Total cost = base fee + cost per mile x distance
$30 = $10 + x(5)
Simplifying the equation:
$20 = 5x
Dividing both sides by 5:
x = $4
Therefore, Brian charges $4 per mile.
At least one of the answers nbove is NOT carrect, (1 poini) A man has 38 ceing in his pocket, all of which are dimes and quarteri. to the totat valus of his change is 615 oents, how mair dirtes and how many quarters does he have? Your answor is number of dimant equals ruriber of quaters nquanis Note: You can earn partial crecif on this problem
The man has 23 dimes and 15 quarters.
Let's assume the number of dimes is represented by 'd' and the number of quarters is represented by 'q'.
According to the information given in the problem, we have two equations:
Equation 1: d + q = 38 (since the total number of dimes and quarters is 38)
Equation 2: 10d + 25q = 615 (since the total value of dimes and quarters is 615 cents)
We can solve this system of equations to find the values of 'd' and 'q'.
Let's multiply Equation 1 by 10 to eliminate 'd':
10d + 10q = 380
Now, subtract this equation from Equation 2:
10d + 25q - (10d + 10q) = 615 - 380
15q = 235
q = 235/15
q ≈ 15.67
Since we can't have a fractional number of quarters, we'll round down to the nearest whole number:
q ≈ 15
Now, substitute the value of 'q' back into Equation 1 to find 'd':
d + 15 = 38
d = 38 - 15
d = 23
Therefore, the man has 23 dimes and 15 quarters.
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Consider the same firm with production function: q=f(L,K) = 20L +25K+5KL-0.03L² -0.02K² Make a diagram of the total product of labour, average product of labour, and marginal product of labour in the short run when K = 5. (It is ok if this diagram is not to scale.) Does this production function demonstrate increasing marginal returns due to specialization when L is low enough? How do you know?
The MP curve initially rises to its maximum value because of the specialized nature of the fixed capital, where each additional worker's productivity rises due to the marginal product of the fixed capital.
Production Function: q = f(L,K) = 20L + 25K + 5KL - 0.03L² - 0.02K²
Given, K = 5, i.e., capital is fixed. Therefore, the total product of labor, average product of labor, and marginal product of labor are:
TPL = f(L, K = 5) = 20L + 25 × 5 + 5L × 5 - 0.03L² - 0.02(5)²
= 20L + 125 + 25L - 0.03L² - 5
= -0.03L² + 45L + 120
APL = TPL / L, or APL = 20 + 125/L + 5K - 0.03L - 0.02K² / L
= 20 + 25 + 5 × 5 - 0.03L - 0.02(5)² / L
= 50 - 0.03L - 0.5 / L
= 49.5 - 0.03L / L
MP = ∂TPL / ∂L
= 20 + 25 - 0.06L - 0.02K²
= 45 - 0.06L
The following diagram illustrates the TP, MP, and AP curves:
Figure: Total Product (TP), Marginal Product (MP), and Average Product (AP) curves
The production function demonstrates increasing marginal returns due to specialization when L is low enough, i.e., when L ≤ 750. The marginal product curve initially increases and reaches a maximum value of 45 units of output when L = 416.67 units. When L > 416.67, MP decreases, and when L = 750 units, MP becomes zero.
The MP curve's initial increase demonstrates that the production function displays increasing marginal returns due to specialization when L is low enough. This is because when the capital is fixed, an additional unit of labor will benefit from the fixed capital and will increase production more than the previous one.
In other words, Because of the specialised nature of the fixed capital, the MP curve first climbs to its maximum value, where each additional worker's productivity rises due to the marginal product of the fixed capital.
The APL curve initially rises due to the MP curve's increase and then decreases when MP falls because of the diminishing marginal returns.
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Help pls
I need help on this
Answer:
Slope < 0 : 1 slope between 0 and1 :3
slope greater than 1 : 2 #4 has 'undefined' slope
Step-by-step explanation:
HELP PLSSS THIS IS HARD SOMEONE
Answer:
f(x,y)=(3x,3y)
Step-by-step explanation:
Dilation with the centre at the origin with scale facor k,
= f(x,y)--->f(kx,ky)
When k=3,
f(x,y)---->f(3x.3y)
Add the equations to find the solutions to the system.
4x - y = 8
6x + y = 2
A) (2, -4)
B) (-4, 1)
C) (1, -4)
D) (-2, -1)
Answer:
c
Step-by-step explanation:
An____is an outcome of a population that has some probability of being selected.
An "event" is an outcome of a population that has some probability of being selected.
In statistics, an event refers to a specific outcome or combination of outcomes of an experiment or random process. It represents a subset of the sample space, which is the set of all possible outcomes.
For example, let's consider rolling a fair six-sided die. The sample space consists of the numbers 1, 2, 3, 4, 5, and 6. An event could be rolling an even number, which consists of the outcomes 2, 4, and 6. Each of these outcomes has an equal probability of 1/6.
Events can also be combined using logical operators. For instance, the event of rolling a number greater than 3 and less than 6 would consist of the outcome 4 and 5. The probability of this event would be 2/6 or simplified, 1/3.
In summary, an event is a specific outcome or combination of outcomes from a population, and it has a certain probability of being selected.
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An "outcome" is an outcome of a population that has some probability of being selected.
An "outcome" refers to a specific result or observation that can occur in a given situation or experiment. In the context of a population, an outcome represents one possible result that could be selected or observed.
When we talk about a population, we are referring to a group of individuals or items that share a common characteristic. For example, a population could be all the students in a school, all the trees in a forest, or all the cars in a city.
In statistics, we often take samples from populations to make inferences or draw conclusions about the entire population. When selecting a sample from a population, each individual or item in the population should have some probability of being chosen. This ensures that the sample is representative of the population and provides reliable information.
For example, if we want to study the average height of all students in a school, we might randomly select a sample of students from the population (all students in the school). Each student in the population has some chance of being selected, which means each student represents a potential outcome of the sample.
In summary, an outcome in the context of a population refers to a specific result or observation that has some probability of being selected from the population.
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The table below shows how long it took Tamara to swim different distances.
Time
(in minutes) (x)
0.5
1.25
2.0
2.0
2.5
Distance
(in meters) (y)
50
100
200
225
300
A. List the domain and range values.
B. Is the relation a function? Explain. Use the table to support your argument.
The domain and the range are {0.5, 1.25, 2.0, 2.5} and {50, 100, 200, 225, 300}
The relation is not a function
How to determine the domain and the range?From the question, we have the following parameters that can be used in our computation:
Time (in minutes) (x) 0.5 1.25 2.0 2.0 2.5
Distance (in meters) (y) 50 100 200 225 300
The domain is the list of the x values (without repetition)
So, we have
Domain = {0.5, 1.25, 2.0, 2.5}
The range is the list of the y values (without repetition)
So, we have
Range = {50, 100, 200, 225, 300}
Is the relation a function?For a relation to be a function, the x values must not be repeated for different y values
From the table, we have: (2.0, 200) and (2.0, 225)
The x value 2.0 is repeated for y values 200 and 225
Hence, the relation is not a function
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What is the slope of the line?
3(y - 1) = 2x + 2
hope it helped
3(y-1)=2x+2
3(y-1)/3=2x+2/3
y-1=2x/3+2/3
y=2x/3+2/3+1
y=2x/3+5/3
m=2/3
Researchers are wondering whether they can predict students' ACT scores using their household income. To test this possibility, they select seven participants, measure their ACT composite score and record their household income (in $1000 ). Based on data in the table above, the researchers compute the regression equation: Y=23.083+0.044X Do the researchers have enough evidence to claim that household income predicts ACT-Scores? Select the null hypothesis for the statistical test? a) β=0.044 b) b=0.044 c) b=0 d) β=0
The regression equation computed by the researchers is Y=23.083+0.044X, where Y represents the ACT composite score and X represents household income (in $1000).
To determine whether household income predicts ACT scores, the researchers need to perform a hypothesis test. The null hypothesis for this test would be that the slope coefficient (β) is equal to 0, which means there is no relationship between household income and ACT scores. The alternative hypothesis would be that the slope coefficient is not equal to 0, indicating that there is a significant relationship between household income and ACT scores.
To determine whether the researchers have enough evidence to claim that household income predicts ACT scores, they would need to perform a significance test on the slope coefficient. They can calculate the t-value for the slope coefficient using the standard error of the slope, which can be obtained from the regression output. If the t-value is significant at the desired level of significance (typically 0.05), then the researchers can reject the null hypothesis and conclude that there is a significant relationship between household income and ACT scores.
However, based on the limited information provided in the question, it is not possible to determine whether the researchers have enough evidence to claim that household income predicts ACT scores. More information is needed on the sample size, the significance level, and the calculated t-value for the slope coefficient.
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The sum of two consecutive numbers is 25. What is the largest of the consecutive numbers? Type a numerical answer in the space provided.
In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.
How can the the largest of the consecutive numbers be calculated?Given that sum of two consecutive numbers is 25 , ans we were required to locatye the largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:
x + (x+1) = 25
Simplifying the left side of the equation:
2x + 1 = 25
2x = 24
Dividing both sides by 2:
x = 12
So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.
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OLEASE HELP ASAP! i’ll mark brainlest!!
Answer:
A. 3^-2
Step-by-step explanation:
the question is 3^6/3^8
according to the law of exponents
a^n/a^m = a^n-m
for this question it will be
3^6-8 which is 3^-2
you're welcome....
En el parque de béisbol "Héctor Espino"; cuatro boletos de butaca y 7 de general cuestan $ 415.00, mientras que tres de butaca y dos de general cuestan $ 230.00. Encuentra el precio de un boleto de butaca.
Answer:
is this question in Spanish?
Find the volume of the figure below.
Answer:
0.6
Step-by-step explanation:
10ft of object and 6ft of ground side
A computer company claims that the lifespan of its batteries is 2. 7 years. The population standard deviation is 0. 85 years. A sample of 25 batteries was tested, and their mean lifespan was 3. 1 years. Using a 95% confidence level, determine if the company's claim is correct. Reject the null hypothesis. There is enough evidence to oppose the company's claim. Fail to reject the null hypothesis. There is enough evidence to oppose the company's claim. Reject the null hypothesis. There is not enough evidence to oppose the company's claim. Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim
Using the z-distribution, as we have the standard deviation for the population, it is found that the correct decision is given by:
Reject the null hypothesis. There is enough evidence to oppose the company's claim.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean is of 2.7 years, that is:
\(H_0: \mu = 2.7\)
At the alternative hypothesis, it is tested if the mean is different of 2.7 years, hence:
\(H_1: \mu \neq 2.7\)
What is the test statistic?The test statistic is given by:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean.\(\mu\) is the value tested at the null hypothesis.\(\sigma\) is the standard deviation of the sample.n is the sample size.In this problem, the values of the parameters are given by:
\(\overline{x} = 3.1, \mu = 2.7, \sigma = 0.85, n = 25\)
Hence, the value of the test statistic is given by:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{3.1 - 2.7}{\frac{0.85}{\sqrt{25}}}\)
\(z = 2.35\)
What is the decision?Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, the critical value is of \(|z^{\ast}| = 1.96\).
Since the absolute value of the test statistic is greater than the critical value, the correct decision is:
Reject the null hypothesis. There is enough evidence to oppose the company's claim.
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Answer:
Reject the null hypothesis. There is enough evidence to oppose the company's claim.
Step-by-step explanation:
The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 5% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.
Question 10 PLEASE HELP find the slope of the line described by: x-7y=-6
Answer:
slope m=1/7
Step-by-step explanation:
x-7y=-6
-7y=-x-6
y=-x/-7 -6/-7
y=1/7 x+6/7
if a mobile was sold for Rs.24408 after allowing 10% discount on the marked price and adding 13% VAT.Findthe discount amount.
Answer:
Hi, there!!!!
See explanation in pictures.
I hope it helps you...
change 04:35 to 12 hours clock time
Answer:
4:35 am
Step-by-step explanation:
change 04:35 to 12 hours clock time