Members of a baseball team raised $1128.75 to go to a tournament. They rented a bus
for $856.50 and budgeted $24.75 per player for meals. Write and solve an equation
which can be used to determine x, the number of players the team can bring to the
tournament.
Equation:
Answers
The baseball team can bring 11 players to the tournament based on their budget.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of players the team can bring to the tournament. They rented a bus for $856.50 and budgeted $24.75 per player for meals, hence:
24.75x + 856.5 = 1128.75
x = 11
The baseball team can bring 11 players to the tournament based on their budget.
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Related Questions
Suppose that you just turned 25 years old and that you wish to receive an annual annuity of $54,301 for 30 years (end of each year age 65-95). How much would you have to contribute annually at the end of each year ages 25 60 , if you then let the funds vest until age 65 with no further contributions? Your EAR is 7.8%.
Answers
You would need to contribute approximately $2,145.44 annually at the end of each year from ages 25 to 60 in order to receive an annual annuity of $54,301 from ages 65 to 95.
To determine the annual contribution required to receive an annual annuity of $54,301 for 30 years, we can use the present value of an annuity formula:
PV = P * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present Value of the annuity
P = Payment per period (annual annuity payment)
r = Interest rate per period (EAR)
n = Number of periods (number of years)
In this case, the payment per period is $54,301, the interest rate per period is 7.8% (EAR), and the number of periods is 30 years.
We need to find the present value of the annuity at age 25, which will be the accumulated value of the contributions from ages 25 to 60 until age 65.
PV = P * [(1 - (1 + r)^(-n)) / r]
PV = P * [(1 - (1 + 0.078)^(-30)) / 0.078]
Now, we can rearrange the formula to solve for P:
P = PV / [(1 - (1 + r)^(-n)) / r]
P = $54,301 / [(1 - (1 + 0.078)^(-30)) / 0.078]
Using a calculator, we can evaluate the expression to find that the annual contribution required is approximately $2,145.44.
Therefore, You would need to contribute approximately $2,145.44 annually at the end of each year from ages 25 to 60 in order to receive an annual annuity of $54,301 from ages 65 to 95.
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What is the lowest common multiple of 12 and 15?
Answers
Answer:
60
Step-by-step explanation:
LCM of 12 and 15
First Method: Listing the multiples
First, write the common multiples of all three numbers.
Common Multiples of 12: 12,24,36,48,60,72,….
Common Multiples of 15: 15, 30, 45, 60, 75,…
Hence, the Least common multiple of 12 and 15 is 60.
Second method: By prime factorisation
Let us write the prime factors of the two numbers individually.
12 = 2 x 2 x 3
15= 3 x 5
Multiply each factor the maximum number of times it occurs in either number
= 2 X 2 X 3 X 5
= 60
LCM of 12 and 15= 60
Answer
LCM of 12 and 15= 60
Hope this helps :)
Answer:
60
Step-by-step explanation:
we have to use prime factorisation method to obtain the answer.
12 and 15 have LCM 60.
Eric and Nancy both had a successful year selling fish tanks for theirrespective employers, and so they were both given raises.Eric: Eric's base salary is still $1400, but now he makes a commission of$100 for each fish tank that he sells.Nancy: Nancy now gets a base salary of $500 per month, but her commissionhas stayed the same at $250 per fish tank.Eric and Nancy still want to make sure that they contribute the same amountto their total monthly income, and Nancy proposes using algebra to figureout how many fish tanks that they would each need to sell. She tells Ericthat he can calculate his monthly income by using the formula f(x) = 100x +1400. She says that she can calculate her own salary by using the functiong(x) = 250x + 500.1.How many fish tanks would each person need to sell so that they made the same amount of money
Answers
For this question, since we need to show that Eric and Nancy contributes the same amount to their monthly income, we just need to equate both expressions with each other, and then solve for the value of x.
\(f(x)=g(x)\)\(100x+1400=250x+500\)\(100x-250x=500-1400\)\(-150x=-900\)\(\frac{-150x}{-150}=\frac{-900}{-150}\)\(x=6\)In order to check if we got the right answer, we just need to substitute the value of x to both equations.
\(100x+1400=250x+500\)\(100(6)+1400=250(6)+500\)\(600+1400=1500+500\)\(2000=2000\)Therefore, we can conclude that Eric and Nancy has to sell 6 fish tanks each.
The volume of a sphere is 1436.03 To the nearest meter , what is the radius of the sphere? Use 3.14 for pie
Answers
The radius of the sphere to the nearest meter is 7 meters.
To find the radius of the sphere, we can use the formula for the volume of a sphere:
V = (4/3) * π * r³
Given that the volume of the sphere is approximately 1436.03, we can rearrange the formula and solve for the radius (r):
1436.03 = (4/3) * 3.14 * r³
Dividing both sides by (4/3) * 3.14, we have:
r³ = 1436.03 / ((4/3) * 3.14)
r³ ≈ 343.12
Now, to find the radius (r), we take the cube root of both sides:
r ≈ ∛343.12
Using a calculator, we find that the cube root of 343.12 is approximately 7.03.
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Rebecca bought 1 pound of chocolate from the chocolate shop last week for $4. The next week the cost of the same 1 pound of chocolate increased to $6. What was the percent increase in the cost of a pound of chocolate?
Answers
Answer:
150%
Step-by-step explanation:
4 * 1.5 = 6.
Solve the equation for x: 3x+y/z=2?
Answers
Answer:
x= 2/3-y/z
Step-by-step explanation:
step1: 3x+y/z=2
step2: 3x= 2-y/z
step3: 3x/3 = (2-y/z)/3
step 4: x= 2/3- y/z
Answer:
\(x=\frac{2z-y}{3z}\)
Step-by-step explanation:
Given:
\(3x+\frac{y}{z} =2\)
Solution:
\(3x+\frac{y}{z} =2\)
Multiply both sides by \(z\):
\(3xz+y=2z\)
Take \(+y\) to the other side:
\(3xz=2z-y\)
Divide \(3z\) by both sides:
\(\frac{3xz}{3z} =\frac{2z-y}{3z}\)
\(x=\frac{2z-y}{3z}\)
Ashley solved the inequality as shown below. Which of the following describes her mistake?
1st step 6-4(6n+7)≥122
2nd step 6 -4 to the 6n and 7(6n+7)≥122
3rd step 6-24n-28≥122
4th step -22 is dashed out -24n≥122-22
5th step 24n/24≥122/24
6th step n=-4.17
A. Ashley incorrectly distributed the -4.
B. Ashley incorrectly combined her like terms.
C. Ashley incorrectly moved the constant to the right side.
D. Ashley incorrectly divided.
Answers
While participating in a lengthy experiment involving job training for welfare recipients, the economy enters into a major recession. Posttest measurements found that job training was unsuccessful in helping participants locate jobs. However, the experiment's designers claim that the findings were inconclusive because of a possible threat to internal invalidity Which of the following sources of internal invalidity would they be most likely to name as the problem?
a. Instrumentation
b. Contamination
c. Selection bias
d. Secular drift
e. Regression
Answers
Secular drift would be most likely to name as the problem of internal invalidity. Therefore option D is correct.
Secular drift is a type of internal invalidity that occurs when external factors unrelated to the study cause changes in the study outcomes. In this case, the major recession in the economy could have affected the job market and reduced the effectiveness of the job training program. This external factor could be a threat to the internal validity of the study because it undermines the ability to attribute changes in the outcome variable to the treatment. Therefore, the experiment's designers would be most likely to name secular drift as the problem.
Instrumentation refers to changes in the measurement instrument or procedures that affect the results. Contamination refers to the spread of treatment effects to the control group or vice versa. Selection bias occurs when participants are not randomly assigned to treatment groups, resulting in groups that differ in important ways. Regression occurs when participants are selected based on extreme scores, and their scores tend to regress to the mean on subsequent measurements.
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test the claim about the population mean μ at the level of significance α. assume the population is normally distributed. claim: μ>29; α=0.05; σ=1.2 sample statistics: x=29.3, n=50
Answers
Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.
What is the mean and standard deviation?
The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.
To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.
Given:
Claim: μ > 29 (right-tailed test)
α = 0.05
σ = 1.2 (population standard deviation)
Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)
We can follow these steps to conduct the hypothesis test:
Step 1: Formulate the null and alternative hypotheses.
The null hypothesis (H₀): μ ≤ 29
The alternative hypothesis (Hₐ): μ > 29
Step 2: Determine the significance level.
The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.
Step 3: Calculate the test statistic.
For a one-sample t-test, the test statistic is given by:
t = (x - μ) / (σ / √(n))
In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:
t = (29.3 - 29) / (1.2 / √(50))
= 0.3 / (1.2 / 7.07)
= 0.3 / 0.17
≈ 1.76
Step 4: Determine the critical value.
Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).
Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.
Step 5: Make a decision and interpret the results.
If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.
In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.
hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.
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what is the quotient and remainder of 2,913 divided by 6
Answers
Answer:
2913 divided by 6 is 485 with a remainder of 3
A quart container of ice cream is to be made in the form of a cube. what should be the length of a side, in centimeters? (use the conversion 1 gallon = 3.786 liter.)
Answers
By definition of the volume of cube, the side length of the cubic quart container is approximately equal to 9.818 centimeters.
What are the dimensions of the cubic container for a quart of ice cream?
A quart means a quarter of gallon and is equal to 946.353 cubic centimeters. The volume of the cube is equal to the cube of the side lengt, then:
x³ = 946.353
x = ∛946.353
x ≈ 9.818
By definition of the volume of cube, the side length of the cubic quart container is approximately equal to 9.818 centimeters.
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A trapezoid has a height of 12 feet,
and base measurements of 15 feet
and 10 feet. What is the area?
square feet
Answers
Answer:
5
Step-by-step explanation:
Idc
Answer:
150
Step-by-step explanation:
Given lines l, m and n are all parallel and cut by two transversal lines, find the value
of x.
11
m
X
35
Answers
The value of x is 134.
Based on the diagram, we know that lines l, m, and n are parallel. Therefore, the alternate interior angles formed by transversal line m are congruent to the corresponding alternate interior angles formed by transversal line 11:
m and 11 are alternate interior angles, so they are congruent.
Also, the corresponding angles formed by transversals line n and 11 are congruent to the corresponding corresponding angles formed by transversals line m and 35:
11 and 35 are corresponding angles, so they are congruent.
Therefore, we can set up an equation based on the fact that the sum of the measures of the angles around any point is 360 degrees:
m + x + 35 = 180
Simplifying this equation, we get:
x + m = 145
Since m and 11 are congruent, we can substitute m with 11:
x + 11 = 145
Subtracting 11 from both sides, we get:
x = 134
Therefore, the value of x is 134.
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find the probability of getting four consecutive queens when four cards are drawn without replacement from a standard deck of 52 playing cards.
Answers
Answer:
P=0.0000037
P=0.00037%
Step-by-step explanation:
Work out the reciprocal of 4
Answers
0.25
Step-by-step explanation:
Reciprocal of a number is 1÷ that number
1÷4= 0.25
If you pay $43 for a set of Pokémon cards online that were listed for $40 what is the tax percent you were charged
Answers
Amount of tax paid = 43-40 = 3
Tax rate = 3/40 = 0.75
0.75 x 100 = 7.5%
Tax rate = 7.5%
Please I really need help
What is the value of x?
Enter your answer in the box.
Answers
Answer: 16
Step-by-step explanation:
i need help with this question asap
If triangle ABC is a 30-60-90 degree triangle and we know the following
point A is (-4,-2)
point B is (4,-2)
then we must find point C.
if the angle of C is 90 degrees and point C is in quadrant 1 then where is point C?
Answers
Therefore , the solution of the given problem of triangle comes out to be Point C has coordinates. (4,0).
What precisely is a triangle?A polygon is a hexagon if it has two or more extra parts. It is shaped like a simple square. A and B are the only sides of something like this arrangement that can set it apart from a regular triangle. The boundaries remain exactly collinear, nevertheless Euclidean geometry only produces a section rather than a complete cube. Three edges and three angles make up a triangle.
Here,
By using the edge that faces a 60-degree angle, or AB, we can determine the length of BC.
We possess Points A and B are on the same horizontal axis at (-4, -2) and (4, -2), respectively, so AB = 8 (their separation is 8 units).
=>BC = (AB/2) * √(3) = 4 * √(3)
We now need to determine location C's coordinates. As a result, the equation for line BC can be expressed as follows:
=> y - (-2) = -√(3) * (x - 4)
When we simplify this solution, we obtain:
=> y = -√(3)x + 4√(3)
We fix y = 0 and solve for x to locate this point:
=> √(3)x = 4√3 x = 4;
=> 0 = -√3)x + √(3)x
Thus, Point C has coordinates. (4,0).
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mrs. hilt runs 3 1/2 miles every monday, wednesday, and friday. how many miles will she run in a month in which there are 4 mondays, 4 wednesdays, and 4 fridays?
Answers
The total miles run by Mrs Hilt in a month in which there are 4 Mondays, 4 Wednesdays, and 4 Fridays is equal to 126 miles.
Every Monday, Wednesday and Friday Mrs. Hilt run = 3 1/2 miles
Mrs. Hilt runs 3 1/2 miles three times a week,
which is a total of 3 1/2 x 3 = 10 1/2 miles per week.
In a month with 4 Mondays, 4 Wednesdays, and 4 Fridays,
there are a total of 12 days in the week that Mrs. Hilt runs.
This implies, in a month, she will run a total of,
= 10 1/2 x 12
= 21/ 2 x 12
= 21 x 6
= 126 miles.
Therefore, Mrs. Hilt will run 126 miles in a month with 4 Mondays, 4 Wednesdays, and 4 Fridays.
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Please solve with explanation
Answers
Answer:
E and F: (-1.5,2)
F and G: (3,2)
G and E: (1.5,5)
Step-by-step explanation:
a) The midpoint formula is (x2+x1) / 2 , (y2 + y1) / 2. So let's say your two points were (3,1) and (7,4). x2 would be 7 and x1 would be 3. (7 + 3) / 2 = 5. Follow the same steps for (7,4) and you would get (4 + 1) / 2 = 2.5. The middle of your line from (3,1) to (7,4) would be at (5, 2.5)
Use this for all of your points:
E and F: (-1.5,2)
F and G: (3,2)
G and E: (1.5,5)
I didn't have time to do the others but go to GeoGebra for a free graph.
There is $100 on a gift card. $45 was spent on a pair of shoes. The rest will be spent on $5 cups of coffee. What is the maximum number of cups of coffee that can be bought?
Let c Represent:
Inequality:
Solution:
Answers
Answer: A solution to an equation is a number that can be plugged in for the variable to make a true number statement. Example 1: Substituting 2 for x in.
Step-by-step explanation:
,11
Step-by-step explanation:
let's face it.
100-45=55. 55/5=11
therefore,The maxium number is 11
Which expressions are equivalent?
Answers
Answer:
what in the-
Step-by-step explanation:
im legally changing my name to G lol
Answer:
wow anime style
Step-by-step explanation:
(SOMEONE HELP ASAPP )In triangle QRS below, 2Q = 53.13º and ZR = 36.87°
Which of the following are true?
Answers
Can you please show the triangle?
The boss told the management team some sad news too. “I’m cutting your hourly pay. You now get paid per project you finish. I will give you $10 for each finished schedule you create and $20 for each meeting you complete! You cannot make more than $100 per day! Also you must make more than twice as many schedules as meetings!”
Create a system of linear inequalities to model the situation above, where x is the number of schedules made and y is the number of meetings completed.
Answers
The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x
How to create a system of linear inequalities to model the situationFrom the question, we have the following parameters that can be used in our computation:
Each finished schedule = $10Each meeting = $20Amount to make = Not more than $100You must make more than twice as many schedules as meetingsUsing the following representations:
x = the number of schedules madey = the number of meetings completedWe have the following system of inequalities from the given statements
10x + 20y ≤ 100
y > 2x
Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x
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will y=2 (x-3)²-7 make a parabola or a circle
Answers
Answer:
Parabola
Step-by-step explanation:
Answer:
HEY BABY
Step-by-step explanation:
Part One: Line DE is tangent to circle A at point E. If line CD = 8cm and line DE = 12cm, what is the length of line BC. (You may assume A, B, C, and D are colinear)
Part 2: What is the area and circumstance of Circle A
Answers
The length of line BC is 10cm ,The area of the circle is 78.5 cm² and The circumstance of Circle is 31.4 cm.
Part-1
To Find the length of BC, We have the lenghts of CD=8cm and DE=12cm
To find out length. We have to make a perpendicular line construction joins AE.
Triangle AED forms a right angled triangle.
As we all know pythagoras theorem.
Pythagoras formula c²=a²+b²
To findout radius of circle
Let AE=AC=r
AD=CD+AC
AD=8+r
AD²=AE²+DE²
Submit all values in the above equation.
(8+r)²=r²+12²
(a+b)²=a²+b²+2ab use the formula
64+r²+16r=r²+144
Cancel r² each other.
64+16r=144
16r=144-64
16r=80
r=5
Radius of the circle r=5cm
Therefore , the value of BC=2AC
BC=2r
BC=2*5
BC=10cm
The length of line BC is 10cm
Part-2
To find out area of the circle
We have the formula for area of circle.
Area=πr²
Area=(22/7)*5*5
Area=78.5 cm²
The area of the circle is 78.5 cm².
To find out the circumstance of Circle
We have the formula for circumstance of circle. 2πr
circumstance=2*(22/7)*5
circumstance=31.4 cm
The circumstance of Circle is 31.4 cm.
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Greg has the following utility function: u = x038x962. He has an income of $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). Suppose that the price of x increases by $1.00. Calculate the compensating variation for this price change. Give your answer to two decimals.
Answers
The compensating variation is $13.52.
The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x<sup>0.38</sup>x<sup>0.962</sup>. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).
To calculate the compensating variation, we can use the following formula:
CV = u(x1, x2) - u(x1', x2')
where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.
We can find u(x1, x2) using the following steps:
Set x1 = 83 / 4 = 20.75.
Set x2 = 83 - 20.75 = 62.25.
Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.
We can find u(x1', x2') using the following steps:
Set x1' = 83 / 5 = 16.60.
Set x2' = 83 - 16.60 = 66.40.
Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.
Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.
To two decimal places, the compensating variation is $13.52.
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All freshman are required to attend orientation. if-than
Answers
Answer:
yes
Step-by-step explanation:
you just need too
) The value of shares, t years after their floatation on the stock market, is modelled by V=10e 0.09t
Find the initial value of these shares and values after 5 years, 10 years and 12 years, respectively. Round your answer to two decimal places. [9 marks] During a recession, a firm's revenue declined continuously so that the total revenue (TR) in t years' time is modelled as TR=10e −0.19t
(in million dollars) Calculate the current revenue and revenue in 5 years' time. After how many years the revenue of this firm is going to drop to $1 million? Round your answer to two decimal places.
Answers
After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.
The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t
The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,
we get
V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.
The values after 5 years, 10 years and 12 years, respectively are:
For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars
The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)
The current revenue is the total revenue when t = 0.
So, putting t = 0 in TR = 10e−0.19t, we get
TR = 10e−0.19 × 0= 10e0= 10 million dollars
Revenue in 5 years' time is TR when t = 5.
So, putting t = 5 in TR = 10e−0.19t, we get
TR = 10e−0.19 × 5≈ 4.35 million dollars
To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.
Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1
Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303
Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.
So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.
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Can you guys pleaseeeeeeeeeeeeeee helppp
Answers
Answer:
Step-by-step explanation:
D.If the scale factor between P and Q is 15, then each side length of P is multiplied by 15 to get the corresponding side length of Q.
E.If the scale factor is 2, each angle in P is multiplied by 2 to get the corresponding angle in Q.
F.Q has 2 acute angles and 3 obtuse angles.