Answer:
$39.60
Step-by-step explanation:
33 * 1.2 = 39.60
To find the cost of Kate's video game, we first need to determine the 20% increase from Lori's video game, which costs $33.
To do this, we multiply $33 by 0.20, which gives us $6.60.
We then add this amount to the cost of Lori's game:
$33 + $6.60 = $39.60
Therefore, Kate's video game costs $39.60.
May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!
Four workers can harvest a corn field in 12 hours. If the job needs to be completed in 8 hours, how many workers must be assigned to the job? Note: All workers work at the same constant rate.
Answer:
6
Step-by-step explanation:
You want to know the number of workers required to harvest a field in 8 hours if 4 workers can do the job in 12 hours.
EffortProblems like this that involve effort usually measure the effort as a constant product of workers and time.
Here, that product is (4 workers)(12 hours) = 48 worker·hours.
If the same effort is accomplished in 8 hours, the number of workers required is ...
(48 worker·hours)/(8 hours) = 6 workers
6 workers are needed to accomplish the task in 8 hours.
A woman leaves home and walks 5miles west, then 2 miles southwest. How far from home is she, and in what direction must she walk to head directly home? Round to 2 decimal places.
Assume that y varies inversely with
x .
If y = 5 when x = 90,find x when y = 50.
Answer:
The value of x is 9 when y = 50------------------
Inverse variation equation:
y = k/x, where k - constantUse the initial values to find the value of k:
5 = k/90k = 5*90k = 450Substitute the value of k to show the equation:
y = 450/xFind the value of x when y = 50:
50 = 450/xx = 450/50x = 9You deposit $5000 in an account paying 3.5% annual interest compounded continuously. Using the formula A = pert, how long will it take for your money to get to $12,000?
The formula for continuous compounding is:
A = Pe^(rt)
where:
A = the amount of money at the end of the investment period
P = the principal amount (initial investment)
e = the mathematical constant approximately equal to 2.71828
r = the annual interest rate
t = the time in years
We are given that P = $5000, r = 3.5%, and we want to find t when A = $12,000. Substituting these values into the formula, we get:
$12,000 = $5000e^(0.035t)
Dividing both sides by $5000, we get:
2.4 = e^(0.035t)
Taking the natural logarithm of both sides, we get:
ln(2.4) = ln(e^(0.035t))
Using the rule of logarithms that ln(e^x) = x, we can simplify the right side to:
ln(2.4) = 0.035t
Dividing both sides by 0.035, we get:
t = ln(2.4) / 0.035 ≈ 26.7 years
Therefore, it will take approximately 26.7 years for the initial investment of $5000 to grow to $12,000 with continuous compounding at a rate of 3.5% per year.
q multiplicacion me da 10 y tambien la suma de -19
If the number of the terms will be 14. Then the sum of the series will be 595.
We know that,
A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
First term (a₁) = 10
Common difference (d) = 5
If the nth term is 75, then the number of the terms will be
75 = 10 + (n - 1)5
65 = (n - 1)5
13 = n - 1
n = 14
Then the sum of the series will be
S = a₁ x n + [n (n - 1)d] / 2
S = 10 x 14 + 14 x 13 x 5 / 2
S = 140 + 455
S = 595
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The complete question is given below.
Find the sum of each arithmetic series described or shown below. The sum of multiples of five from 10 to 75, inclusive.
A survey asked adults which food they liked best in the summer. Of those who responded, 42 said ice cream, 37 said hot dog, 29 said hamburger, and 12 said pizza. Select the type of display that would best represent the percent of adults who most enjoy ice cream compared to other subjects.
The survey results show that the most popular food choice among adults in the summer is ice cream, with 42% of adults who responded to the survey saying that it was their favorite summer food.
Hot dogs were the second most popular choice, with 37% of respondents saying that it was their favorite summer food.
Hamburgers and pizza were the least popular choices, with 29% and 12% of respondents respectively saying that they were their favorite summer food.
Amount is a word used to describe a quantity or measure of something. It is often used to refer to a sum of money, but can be used to describe any number or amount of something, such as time, materials, people, or objects. Amount is often used in financial contexts, such as when talking about the amount of money someone has saved, or the amount of money someone owes. It can also be used to refer to measurements, such as the amount of time it takes to finish a task, or the amount of ingredients needed for a recipe.
The best type of display to represent the percent of adults who most enjoy ice cream compared to other subjects is a pie chart. A pie chart is helpful in showing the relative proportions of different items. It can be quickly and easily interpreted, allowing viewers to quickly understand the data being presented.
In this case, the pie chart would show that 42% of adults who responded to the survey most enjoyed ice cream, 37% most enjoyed hot dogs, 29% most enjoyed hamburgers, and 12% most enjoyed pizza.
The calculation for this is as follows:
Ice cream: 42/120 * 100 = 35%
Hot dog: 37/120 * 100 = 30.833%
Hamburger: 29/120 * 100 = 24.167%
Pizza: 12/120 * 100 = 10%
Overall, a pie chart is the best type of display to represent the percent of adults who most enjoy ice cream compared to other subjects. It is a quick and easy way to compare data and can be easily interpreted by viewers.
In conclusion, the survey results show that the most popular food choice among adults in the summer is ice cream, with 42% of adults who responded to the survey saying that it was their favorite summer food. Hot dogs were the second most popular choice, with 37% of respondents saying that it was their favorite summer food. Hamburgers and pizza were the least popular choices, with 29% and 12% of respondents respectively saying that they were their favorite summer food.
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Escribe (v) si los siguientes enunciados son verdaderos
(F) Si son falsos. Justifica tu
respuesta
a) toda ecuación cuadrática se puede resolver con la fórmula general ( )
b) las ecuaciones cuadráticas tienen siempre solución en los números reales ( )
Pongan el por qué pls
All the quadratic equation solution is done using general formula is true statement.
And the solution of quadratic equation is given by real number is false because it may have complex roots.
Every quadratic equation can be solved with the general formula.
This is true.
The general formula for solving a quadratic equation of the form
ax² + bx + c = 0 is equal to,
x = [-b ± √(b² - 4ac)] / 2a
This formula can be used to find the solutions to any quadratic equation.
Quadratic equations do not always have a solution in real numbers.
There are other types of solutions.
This is known as having complex roots.
For example, the equation x² + 1 = 0 has no real solutions.
Since the square of any real number is positive and cannot equal -1.
However, it does have complex solutions, which involve the imaginary unit i that is i = √(-1).
The solutions to x² + 1 = 0 are x = i and x = -i, both of which are complex numbers.
Therefore, the quadratic equation solved using general formula is true while quadratic equation have real solution is false as it may have complex roots.
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The Graduate Records Exam (GRE) is the entrance exam for most graduate schools. The population of individual GRE scores has a distribution that is approximately N(544, 103). What is the approximate chance that a single randomly chosen student scores less than 525 on the GRE? That is, find P(x < 525).
the approximate chance that a single randomly chosen student scores less than 525 on the GRE is 0.4279 or about 42.79%.
What is probability?
Probability is a measure of the likelihood of an event occurring.
To answer this question, we need to standardize the score of 525 using the mean and standard deviation provided:
z = (x - mean) / standard deviation
where x is the score we want to find the probability for, mean is the mean score of the population, and standard deviation is the standard deviation of the population.
In this case:
z = (525 - 544) / 103 = -0.184
We can then use a standard normal distribution table or calculator to find the probability that a randomly chosen student scores less than 525, which is equivalent to finding the probability that a standard normal variable is less than -0.184:
P(z < -0.184) = 0.4279
Therefore, the approximate chance that a single randomly chosen student scores less than 525 on the GRE is 0.4279 or about 42.79%.
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Consider the marginal cost function
C′(x)=0.09x^2 − 4x+60.
a. Find the additional cost incurred in dollars when production is increased from 4 units to 20 units.
(Do not round until the final answer. Then round to two decimal places as needed.)
b. If C(4)=203, determine C(20) using your answer in (a).
(Do not round until the final answer. Then round to two decimal places as needed.)
a)The additional cost in dollars incurred when output is increased from 4 to 20 units is $1,347.20.
b) The total cost function from components (a), C(20) equals $1,833.00.
How to derive the total cost function C(x)?To determine the additional cost incurred when production is increased from 4 to 20 units, we must compute the difference in total cost between manufacturing fifteen units and producing two units. This can be accomplished by calculating the definite integral of the marginal cost function from x = 4 to x = 20:
a. To compute the additional cost in dollars incurred when production is increased from 4 to 20 units, divide the total cost of manufacturing 20 units by the total cost of producing 4 units.
We may accomplish this by incorporating the marginal cost function:
C(x) = C'(x) dx = 0.03x3 - 2x2 + 60x + C(x)
where C is the integration constant. We can use the knowledge that C(4) = 203 to calculate C:
203 = 0.03(4)^3 - 2(4)^2 + 60(4) + C C = 67
As a result, the total cost function is:
C(x) = 0.03x^3 - 2x^2 + 60x + 67
We can now calculate the additional cost of making 16 units (the difference between 20 and 4 units):
C(20) - C(4) = (0.03(20)^3 - 2(20)^2 + 60(20) + 67) - (0.03(4)^3 - 2(4)^2 + 60(4) + 67) = $1,347.20
As a result, the additional cost in dollars incurred when output is increased from 4 to 20 units is $1,347.20.
b. Using the total cost function from component (a), we may find C(20):
C(20) = 0.03(20)^3 - 2(20)^2 + 60(20) + 67 = $1,833.00
As a result, C(20) equals $1,833.00.
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reflected over the x-axis then translated 5 units left vertex form
The function reflected over the x-axis then translated 5 units left is given by the relation g ( x ) = -a ( x - ( h + 5 ) )² - k
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = a(x - h)² + k
Now , on reflecting over the x-axis , we get
f' ( x ) = -a( x - h )² + k
On translating the function 5 units left , we get
g ( x ) = -a ( x - ( h + 5 ) )² - k
Hence , the transformed function is g ( x ) = -a ( x - ( h + 5 ) )² - k
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What is 53.84 rounded to the nearest percent
Answer: 53.84 rounded to the nearest percent is 54%.
Step-by-step explanation: Let's take a look at this value. To round 53.84 to the nearest percent, we must make it a whole number first. 53.84 rounded to the nearest whole number is 54. Therefore, that is also the percent.
Can someone please help?
(A) To use the exponential formula, we need to determine the values of P, r, and n.
P = $8,500, the initial deposit
r = 2.6% = 0.026, the annual interest rate
n = 4, the number of times interest is compounded per year (quarterly)
How much money will Deshawn will have in the account in 9 years?(B) The formula for the future value of the account is:
A = [tex]P(1 + r/n)^{nt}[/tex]
where t is the time in years. Plugging in the values from part (A) and t = 9, we get:
A = [tex]$8,500(1 + 0.026/4)^{(4×9)}[/tex] = $11,169.62
Therefore, Deshawn will have $11,169.62 in the account after 9 years.
(C) The annual percentage yield (APY) takes into account the effect of compounding on the interest rate. The formula for APY is:
APY = [tex](1 + r/n)^{n}[/tex] - 1
Plugging in the values from part (A), we get:
APY = [tex](1 + 0.026/4)^{4}[/tex] - 1 = 0.02639
Therefore, the APY for the savings account is 2.639%.
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Find the probability.
A bag contains 10 blue marbles, 5 red marbles, and 5 green marbles. You pick three
marbles from the bag, replacing the marble you chose each time. What is the probability
of choosing 3 green marbles?
O1/57
O 1/114
O 1/64
O 1/32
Answer:
Probability that the first marble drawn is blue is 10/27, since there are 10 blue marbles and 27 altogether
Probability that the second marble drawn is green is 5/26, since there are 5 green marbles and 26 altogether (a blue one is gone, remember?)
Probability that the third marble drawn is yellow is 12/25, since there are 12 yellow marbles and 25 altogether (both a blue and a green one are now gone)
Probability that all happen is product of all individual odds = 10/27*5/26*12/25 = 3.42%
The edge of a cube was found to be 30 cm with a possible error in measurement of 1 cm Use differentials to estimate the percentage error (to the nearest hundredth) In computing (a) the volume of the cube and (b) the surface area of the cube (a) (b)
The volume of the cube is 2700 cm³ and the area of the cube is 360 cm³.
The side of the cube = a = 30 cm
Error in a = da = 1 cm
(1) Volume of the cube =a³
V=a³ (Taking derivation)
therefore (dV)/(da) = 3a²
dV = 3a² * da
At a = 30cm, da = 1cm ,
dV = 3 * (30)² * (1)
= 3(900)(1)
Volume of the cube = 2700 cm³
(ii) Area of the cube = 6a²
A = 6a² (Taking derivatives)
d/dr (A) = 6(2a)
= 12a
dA = 12a * da
4 * da = 30cm, da = 1cm
dA = 12(30)(1)
Area of the cube = 360 cm²
Therefore, the volume of the cube is 2700 cm³ and the area of the cube is 360 cm³.
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Solve the system: x-y+3z=-4 4x+y-2z=1 2x-3y+z=-7
By use of determinants, the solution to the system of linear equations is: x = - 17 / 39, y = 71 / 39, z = 22 / 39
How to solve a system of linear equations by determinants
In this problem we find a system of three linear equations with three variables. This kind of system can be solved by means of determinants. For this case, we can use Sarrus law and the following definition:
x = D₁ / D, y = D₂ / D, z = D₃ / D
[tex]D = \left|\begin{array}{ccc}1&- 1&3\\4&1&- 2\\2&- 3&1\end{array}\right|[/tex]
D = 1 - 36 + 4 - 6 + 4 - 6
D = 9 - 48
D = - 39
[tex]D_1 = \left|\begin{array}{ccc}- 4&- 1&3\\1&1&- 2\\- 7&- 3&1\end{array}\right|[/tex]
D₁ = - 4 - 9 - 14 + 21 + 1 + 24
D₁ = - 29 + 46
D₁ = 17
[tex]D_{2} = \left|\begin{array}{ccc}1&-4&3\\4&1&- 2\\2&- 7&1\end{array}\right|[/tex]
D₂ = 1 - 84 + 16 - 6 + 16 - 14
D₂ = - 104 + 33
D₂ = - 71
[tex]D_{3} = \left|\begin{array}{ccc}1&- 1&-4\\4&1&1\\2&- 3&-7\end{array}\right|[/tex]
D₃ = - 7 + 48 - 2 + 8 - 28 + 3
D₃ = 22
x = - 17 / 39
y = 71 / 39
z = 22 / 39
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find the slope of the line on the graph write your answer as a fraction or a whole number not a mixed number of decimal
Answer:
The slope of this line is 4.
Step-by-step explanation:
Using two points;
I'm picking (-2,-5) and (0,3) because they're easy to see right away...
Insert them into the equation for the slope of a line;
[tex]slope = \frac{y2-y1}{x2-x1} = \frac{3-(-5)}{0-(-2)} = 4[/tex]
please help i struggle with mathematics thank you
Answer:
A) 17
B) 50
C) 9
Step-by-step explanation:
A)3 x 5 + 2
15 +2 =17
B) 2 x 5^2
2 x 25= 50
C) (5-2)^2
3^2= 9
How many children are 6 3/4 years old
Step-by-step explanation:
6.75 That's The Answer I Hope You Enjoy
On a number line, which fraction is between 3/5 and 3/4
Responses:
A 1/2
B 9/10
C 4/16
D 4/5
E 71/100
Answer: E: 71/100
Step-by-step explanation:
The low temperature on new years day for five major cities were -12.5, -11.7,-12.4, -12.6, -12.3...on the same say the low temperature in Kansas city was warmer than Chicago but colder than New York
The average temperature in the five major cities was colder than in both Kansas City and New York.
We have,
We are not given the temperature in Kansas City and New York, but we know that Kansas City was warmer than Chicago and colder than New York.
Therefore, we can say that the temperature in Chicago was between the temperature in Kansas City and the temperature in New York.
Let's find the average temperatures in the five major cities:
average temperature
= (-12.5 - 11.7 - 12.4 - 12.6 - 12.3)/5
= -12.5
This means that the average temperature in the five major cities was -12.5 degrees Celsius.
Since we don't know the specific temperatures in Kansas City and New York, we cannot say for sure whether the temperature in Kansas City was warmer than in New York.
However, we can say that the average temperature in the five major cities was colder than in both Kansas City and New York.
Thus,
The average temperature in the five major cities was colder than in both Kansas City and New York.
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Filipe practiced 12 fewer hours than Bianca. If Filipe practiced for 16 hours, how long did Bianca practice?
Bianca practiced for
____
hours.
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
At the end of the party, he and his 7 guests had eaten only ½ of the pizzas and ⅓ of the bags of chips. How much pizza and chips were left over?
Answer: 1/2 of pizza and 2/3 of chips are left.
Step-by-step explanation:
Pizza- 1 minus 1/2 is a 1/2
Chips- 1 minus 1/3 is 2/3
Casey has 5 shirts, 3 skirts, and 2 blazers. Make a tree diagram, of any possible outfits that Casey can make.
Sure, I can help you create a tree diagram for this problem.
Start with the first level of choices: Shirt, Skirt, or Blazer.
(see attachment)
Each branch represents a possible choice, and you can count the number of endpoints (outfit combinations) to find the total number of possible outfits.
Using this tree diagram, there are a total of 30 possible outfits that Casey can make.
-3/2 divided by -6/11
What is the base pic attached below
The base of the exponential functions is 5.
How to find the base of a exponential function?Exponential functions have the form y = a·bˣ,
where a is a constant, x is a variable and b is the base of the function.
For example, if you have the function f(x) = 2·3ˣ, the base will be 3.
In this case we have:
f(x) = (1/2)·5ˣ
Therefore, the base of the function is 5.
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Order the following values from least to greatest:
-8 |-7| 3 |5|
Assuming the average body fat percentage for men in the U.S. was 16.75 and the
standard deviation was 2.1, what percentage of men would have a body fat
percentage that is within the "normal" range of 15-20.
Approximately 72.24% of men would have a body fat percentage within the normal range of 15-20%.
Calculating the Percentage of Men with Normal Body Fat Percentage :
To solve this problem using the standard normal distribution and the process of standardization. We standardized the values of the range of 15-20% using the formula z = (x - μ) / σ.
Then use a normal distribution table or calculator to find the area under the curve between the standardized values.
Here we have
The average body fat percentage for men in the U.S. was 16.75 and the standard deviation was 2.1
To solve this problem, standardize the range of 15-20 using the formula:
=> z = (x - μ) / σ
Where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.
For the lower end of the range (15), the standardized value is:
z = (15 - 16.75) / 2.1 = -0.83
For the upper end of the range (20), the standardized value is:
z = (20 - 16.75) / 2.1 = 1.55
Now Find the area under the normal distribution curve between these two standardized values. For this use a standard normal distribution table or a calculator with a normal distribution function to find this area.
Using a calculator, we can use the normalcy function with the lower and upper bounds of -0.83 and 1.55, respectively, and a mean of 0 and a standard deviation of 1 (since we standardized the values):
=> normalcdf(-0.83, 1.55, 0, 1) ≈ 0.7224
This means that approximately 72.24% of men would have a body fat percentage within the normal range of 15-20%.
Therefore,
Approximately 72.24% of men would have a body fat percentage within the normal range of 15-20%.
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What does the transformation f(x)↦f(x)–8 do to the graph of f(x)
The transformation f(x) ↦ f(x) - 8 shifts the graph of f(x) downward by 8 units.
More specifically, for any value of x, the output of the function f(x) is subtracted by 8. This means that the y-coordinate of each point on the graph of f(x) is decreased by 8 units.
For example, suppose that point (a, b) lies on the graph of f(x). After applying the transformation f(x) ↦ f(x) - 8, the point (a, b - 8) lies on the transformed graph.
So, if the original graph of f(x) was above the x-axis, the transformed graph will be shifted downward and intersect the x-axis 8 units below where the original graph intersected it. If the original graph of f(x) was below the x-axis, the transformed graph will be shifted downward and move further away from the x-axis.
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PLSS HELPP TODAY!
solve for x
Answer:
160 degrees
Step-by-step explanation:
Given the function h of x equals 2 times the square root x plus 2 end root minus 3, which statement is true about h(x)?
The function is increasing on the interval (–∞, –2).
The function is decreasing on the interval (–2, ∞).
The function is increasing on the interval (–2, ∞).
The function is decreasing on the interval (–∞, 0).
pls help fast
The function h(x) is increasing on the interval (-2, ∞). The correct answer is an option (C).
Given the function h of x equals 2 times the square root x plus 2 end root minus 3.
It can be written as: h(x) = 2√(x +2) - 3
Now, take the derivative of h(x):
h'(x) = (2/2√x+2) = 1/√x+2
Since the denominator is always positive, the sign of the derivative is determined by the numerator.
The numerator is positive for all x > -2, meaning that the function is increasing on that interval.
Therefore, the function is increasing on the interval (–2, ∞).
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