Answer:
Day 44
Step-by-step explanation:
Given function:
\(f(t)=500t^2\)
where:
f = number of daily hitst = times (in days)To find the day on which the number of daily hits reaches 1,000,000, set the function to 1,000,000 and solve for t:
\(\begin{aligned}f(t) & =1000000\\ \implies 500t^2 & = 1000000\\ t^2&=\dfrac{1000000}{500}\\ t^2 & = 2000\\ t & = \pm \sqrt{2000}\\ t & = \pm 44.72135955...\end{aligned}\)
As time in positive, t = 44.72135955 only.
This tells us that the number of daily hits reaches 1,000,000 during the 44th day.
your group fundraiser has a goal of $75 to pay for a new piece of equipment. you are selling pencils () for $0.50 and bracelets () for $1.00.
To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.
To reach your fundraising goal of $75, you can sell pencils for $0.50 and bracelets for $1.00.
1. Calculate the total amount of money needed to reach the goal:
Goal amount = $75
2. Determine the number of pencils and bracelets you need to sell to reach the goal:
Let's assume you sell x number of pencils and y number of bracelets.
The amount raised from selling pencils = x * $0.50
The amount raised from selling bracelets = y * $1.00
The total amount raised from both items should be equal to the goal amount:
x * $0.50 + y * $1.00 = $75
3. Simplify the equation:
0.50x + 1.00y = 75
4. Solve for one variable in terms of the other:
Let's solve for x in terms of y:
0.50x = 75 - 1.00y
x = (75 - 1.00y) / 0.50
5. Substitute the value of x into the equation:
(75 - 1.00y) / 0.50 * 0.50 + y * $1.00 = $75
75 - 2y + y = 75
-y = 0
y = 0
6. Find the value of x:
x = (75 - 1.00 * 0) / 0.50
x = 75 / 0.50
x = 150
To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.
To know more about fundraising goal visit:
https://brainly.com/question/28324495
#SPJ11
which number comes next in this series of numbers? 2 3 5 7 11 13 ?
the next number in the series is 17.
The given series of numbers is a sequence of prime numbers. To find the next number, we need to identify the next prime number after 13.
The next prime number after 13 is 17.
what is series?
In mathematics, a series is the sum of the terms of a sequence. It is a sequence of numbers that are added together in a specific order. Each term in the series is typically obtained by applying a rule or formula to the preceding terms.
For example, the series 1 + 2 + 3 + 4 + 5 + ... is the sum of all positive integers. In this case, the terms of the series are generated by adding the next positive integer to the sum of the previous terms.
Series can be finite, meaning they have a specific number of terms, or they can be infinite, meaning they continue indefinitely.
Series are an important concept in mathematics and have applications in various fields such as calculus, number theory, and probability.
to know more about probability visit:
brainly.com/question/31828911
#SPJ11
Use tracing paper to answer each of these questions for both sets of shapes below:
A
C
B
D
Which figure appears to be the exception?
What makes that shape different from the others?
●
What do the other three shapes have in common?
$6 to bowl each game at Hollywood bowl. A pair of shoes can be borrowed for $3. How much does it cost to borrow 5 pairs of shoes and bowl 2 games?
Use the marginal tax rate chart to answer the question. Tax Bracket Marginal Tax Rate $0–$10,275 10% $10,276–$41,175 12% $41,176–$89,075 22% $89,076–$170,050 24% $170,051–$215,950 32% $215,951–$539,900 35% > $539,901 37% Determine the effective tax rate for a taxable income of $180,900. Round the final answer to the nearest hundredth.
19.50%
20.00%
21.11%
32.00%
For a taxable income of $1,80,900, the effective tax rate is 21.11%.
what is meant by marginal tax?Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.
Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.
To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.
To learn more about marginal tax refer to:
https://brainly.com/question/29029623
#SPJ1
HELP PLZ, DUE SOON!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A. 50 dollars
B. 100 dollars
C. 50+100x
Answer:
a) 50 b) 75 c) 75x+50
Step-by-step explanation:
those are correct
4. An object will most effectively absorb the
sun's rays if it is
(A) polished, and dark in color.
(B) polished, and light in color.
(C) rough, and light in color.
(D) rough, and dark in color.
Given the equation startfraction 2 x 2 over y endfraction = 4 w 2 what is the value of x? x = y w y minus 1 x = 2 y w y minus 1 x = 2 y w y minus 2 x = 4 y w 2 y minus 2
The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
According to the given question.
We have an equation
2x + 2/y = 4w + 2
Since, we have to find the value of x for the given equation
2x + 2/y = 4w + 2
Thereofore,
2x + 2/y = 4w + 2
⇒ 2(x + 1)/y = 2(2w + 1) (taking 2 common from both the sides)
⇒ (x + 1)/y = 2w + 1
⇒ (x + 1) = y(2w + 1) (multiplying both the sides by y)
⇒ x + 1 = 2yw + y
⇒ x = 2yw + y - 1 ( subtracting 1 both the sides)
Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
Find out more information about equation here:
https://brainly.com/question/14686792
#SPJ4
9. There are 56 children who need to be divided into teams of 8. How many children will
be on each team? What is this problem asking you?
PLEASE HELP I NEED TO KNOW ASAPPP!!! :(
problem 9.
Answer:
Your answer is 7 children on each team
Step-by-step explanation:
The question clearly states "divided," so divide 56 by 8.
The question is asking you how many kids are on each team.
If I didn't understand the question properly, let me know. :) good luck!
how to find 62%of $400
Answer:
248
Step-by-step explanation:
Solution for What is 400 percent of 62:
400 percent *62 =
(400:100)*62 =
(400*62):100 =
24800:100 = 248
Now we have: 400 percent of 62 = 248
Question: What is 400 percent of 62?
Percentage solution with steps:
Step 1: Our output value is 62.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$62=100\%.
Step 4: Similarly, x=400\%.
Step 5: This results in a pair of simple equations:
62=100\%(1).
x=400\%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
\frac{62}{x}=\frac{100\%}{400\%}
Step 7: Again, the reciprocal of both sides gives
\frac{x}{62}=\frac{400}{100}
\Rightarrow x=248
Therefore, 400 of 62 is 248
Answer:
248
Step-by-step explanation:
\(\frac{y}{400}: \frac{62}{100}\)
y · 100 = 62 · 400
100y = 24800
100y ÷ 100 = 24800 ÷ 100
y = 248
Instructions: For the given discriminant, state the number and type of solutions.
If the discriminant is negative, then neither of the solutions is a real number.
Since the discriminant is a negative number 7, then there is/are no real solutions to the quadratic equation.
Find the value of the expression
Z - y
for y = 14 and z = 20.
Answer:
20 - 14 = 6
that's it doneee
Step-by-step explanation:
Given. y = 14 and z = 20
Z - y
= 20 - 14
= 6
Hope it will help :)
The average age of undergraduate students at grand canyon university is 44. if the standard deviation is 4, what percentage of undergraduate students are between 36 and 52 years old?
75% is percentage of undergraduate students are between 36 and 52 years old.
What is percentage and example?
A percentage is a ratio or fraction where the full value is always 100. For example, if Sam received 30% marks in his math test, it signifies that he scored 30 marks out of 100. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.The percentage is used to determine “how much” or “how many.” A percentage number aids in calculating the exact amount or figure that is being discussed. Fractions are compared.This would be true if k=3, but k=2
because (36-44)/4 = -2 and (52-44)/4 = 2
Learn more about percentage
brainly.com/question/28269290
#SPJ4
20 points, help me, please !!!!!
(a) |-9| + 6 = 9 + 6 = 15
(b) |-9 + 6| = |-3| = 3
M varies inversely with the square
of O. When O is 6, M is 0.5.
Find the value of M when O is 2.
M = [?]
The value of M for O = 2 will be;
⇒ M = 4.5
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
M varies inversely with the square of O.
And, When O is 6, M is 0.5.
Now,
Since, M varies inversely with the square of O.
Hence, We get;
⇒ M α 1/O²
⇒ M = k/O²
Where, k is constant of inverse proportional.
When, O is 6, M is 0.5.
So, We get;
⇒ 0.5 = k/6²
⇒ 0.5 × 36 = k
⇒ k = 18
So, We get;
⇒ M = 18/O²
Put O = 2,
⇒ M = 18/2²
⇒ M = 18/4
⇒ M = 4.5
Thus, The value of M for O = 2 will be;
⇒ M = 4.5
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
1.5 is a repeating decimal. Write it as a fraction.
Answer:
1.5 is not a repeating decimal, and 1 1/2
Step-by-step explanation:
How much money is left in the budget for this job?
The amount for the job is $62577.85.
The amount spent on labors is $18913.57.
The amount spent on materials is $21455.19.
The amount that contractor left in his budget is obtained by subtract the amount spent on material and labor from the total amount.
Determine the amount left in contrator's budget.
\(\begin{gathered} A=62,577.85-18,913.57-21,455.19 \\ =22,209.09 \end{gathered}\)So amount that left in contractor's budget is 22,209.09 dollars.
Answer: 22,209.09
How do I find X and Y
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(3,5)
Equation Form:
x=3,y=5
Step-by-step explanation:
figure 3 shows a system containing a ball and a track. The ball is released from rest at position A and experiences air resistance and friction while moving along the track. Ball resting on the top of a hill at a height of 20 m. Position A is the top of the hill. Position B is at the bottom of the hill on ground level. According to the law of conservation of energy, which statement best describes the total energy of the system at point B if the system is isolated? The total energy will be less than the initial potential energy because some is lost to the surroundings. The total energy will be more than the initial potential energy because it includes the surroundings. The total energy will be equal to the initial potential energy because no energy is lost to the surroundings. The total energy will be equal to the initial potential energy because it is equal to the total energy of the surroundings.
The statement that best describes the total energy of the system at point B if the system is isolated is that the total energy will be less than the initial potential energy because some is lost to the surroundings.
According to the law of conservation of energy, energy cannot be created or destroyed but can only be transferred or converted from one form to another within a closed or isolated system. In the system described in Figure 3, the ball is released from rest at position A, where it has gravitational potential energy due to its height above the ground. As the ball moves down the track towards position B, it loses potential energy but gains kinetic energy, until it reaches the ground at position B where it has no potential energy but maximum kinetic energy. If the system is isolated, meaning that there are no external forces acting on the ball except for air resistance and friction, the total energy of the system must remain constant throughout its motion, and the sum of the kinetic and potential energy at any point must equal the initial potential energy at position A. Therefore, the statement that best describes the total energy of the system at point B if the system is isolated is that the total energy will be less than the initial potential energy because some is lost to the surroundings. This is because the air resistance and friction acting on the ball during its motion convert some of its mechanical energy into other forms of energy such as heat and sound, which are lost to the surroundings. However, the total energy of the system must still be conserved, and the sum of the kinetic and potential energy at point B must be equal to the initial potential energy at position A, minus the energy lost to the surroundings due to air resistance and friction.
Learn more about law of conservation of energy here:
https://brainly.com/question/9063462
#SPJ1
Identify the single transformation that has occurred to the parent graph y = 3-. 10 S Answer
Answer:
y, 4?
Step-by-step explanation:
Rewrite in simplest terms: 4(-5u+3)-4(8u-1)4(−5u+3)−4(8u−1)
Answer:
640u
2
−492u+55
Step-by-step explanation:
notsure
What is the equation of the line that passes through the point (-5,7) and has a
slope of -2/5
Answer:
The equation of a line that passes through the point (-5,7) and has a slope of -2/5 would be y = -2/5x + 5
Step-by-step explanation:
In the math term y = mx + b, "m" represents slope. So you can just substitute it for -2/5. "b" represents the y-intercept. 5 is the only number that works, so you just substitute "b" for 5.
Steven received scores of 70, 95, and 80 on his last three math tests. He needs a mean test score of 80 to qualify for the math team. What is the answer?
Answer:
81.7
Step-by-step explanation:
I did the math.
Good luck (:
Answer:
Steven needs a total score of 320 to have a mean of 80 and Steven has obtained 245 so far. So, he needs atleast 75 more to qualify for the maths team.
Peter expected to earn $425 in a week. In fact, he earned $500. What was the percentage error? (Round to nearest percent)
Answer:
15%
Step-by-step explanation:
im almost certain its 15%
which of the following is a discrete data random variable? cars finished in a factory each day a person's height each birthday a person's weight on each year the volume of water in a swimming pool each day
A discrete data random variable is a random variable that can only take on a finite or countable number of values.
Out of the options given, the number of cars finished in a factory each day is a discrete data random variable. This is because the number of cars finished can only take on a finite number of values, such as 0, 1, 2, 3, and so on. It cannot take on any value between these integers, and there are only a finite number of possible values.
In contrast, a person's height and weight are continuous data random variables, as they can take on any value within a certain range (for example, a person's height can take on any value between 4 feet and 7 feet).
Similarly, the volume of water in a swimming pool can take on any value within a certain range, and is also a continuous data random variable.
Therefore, the only discrete data random variable out of the options given is the number of cars finished in a factory each day.
For more details about discrete click here:
https://brainly.com/question/13233983#
#SPJ11
2x + 3y = 12
2x - y = 4
Answer:
The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)
Step-by-step explanation:
Solve for y:
-6+ 2y =12
Answer:
9
Step-by-step explanation:
-6+2y=12
+6 +6
2y=18
2 2
9
I need help!!!!!!!!!!!!!
Answer:
D i think
Step-by-step explanation:
Jack and Jill exercise in a 25.0 m long swimming pool. Jack swims 9 lengths of the pool in 150.3 s(2 min and 30.3 s), whereas Jill, the faster swimmer, covers 10 lengths in the same time interval. Find the average velocity and average speed of each swimmer. Jack's average velocity: Jack's average speed: Jill's average velocity: Jill's average speed: m/s
First, let's understand the difference between speed and velocity. Speed is a scalar quantity that refers to "how fast an object is moving." It does not contain any information about the direction of the object's movement. On the other hand, velocity is a vector quantity that refers to "the rate at which an object changes its position." It is speed in a given direction.
Now, we can find the total distance each swimmer travels and the average velocity and speed for each.
The total distance Jack swims is 9 lengths * 25.0 m/length = 225.0 m.
His average speed, which is the total distance divided by the time, is 225.0 m / 150.3 s = 1.497 m/s (rounded to three decimal places).
For the average velocity, we need to remember that when Jack finishes swimming, he is back where he started after an odd number of lengths. This means his displacement is one length of the pool or 25.0 m. So his average velocity is 25.0 m / 150.3 s = 0.166 m/s (rounded to three decimal places).
Now for Jill:
The total distance Jill swims is 10 lengths * 25.0 m/length = 250.0 m.
Her average speed is 250.0 m / 150.3 s = 1.663 m/s (rounded to three decimal places).
However, Jill finishes at the opposite end of the pool because she swam an even number of lengths, so her displacement is two lengths or 50.0 m. Therefore, her average velocity is 50.0 m / 150.3 s = 0.333 m/s (rounded to three decimal places).
So:
- Jack's average velocity: 0.166 m/s
- Jack's average speed: 1.497 m/s
- Jill's average velocity: 0.333 m/s
- Jill's average speed: 1.663 m/s
Juan starts at 10:30 AM and drives at a constant speed. At 12 noon he has traveled for 105 miles. If he continues at this constant speed for another five hours how far will he travel altogether?
Will mark brainly if you help
P.s this is 6th grade math
Answer:
525 i think
Step-by-step explanation:
Since he 105 times 5 is 125
Answer:
10:152
Step-by-step explanation: