Answer:
10%$29,175$2,046$6,499.50Step-by-step explanation:
a) The %tax comes from the "Rate" column on the line "up to $9525". It is 10%.
__
b) Simply compute the difference shown:
$38,700 -$9,525 = $29,175
__
c) 22% of $9,300 is ...
0.22 × $9,300 = $2,046
__
d) The total from the three previous calculations is ...
$952.50 +3,501.00 +2,046.00 = $6,499.50
Answer:
10%
$29,175
$2,046
$6,499.50
got it right on ttm.
Step-by-step explanation:
just believe me it works
What transformation is described by the
notation (x, y) —> x,-y)?
A : translation left 1 unit
B : translation down 1 unit
C : reflection across the x-axis
D : reflection across the y-axis
Answer:
C. reflection across the x-axis
Step-by-step explanation:
When a point is reflected across the x-axis, the x-coordinate stays the same while the y-coordinate turns into its opposite (positive to negative, negative to positive).
As we can see in the notation, the x-coordinate stayed the same while the y-coordinate went from positive to negative, which tells us that this notation is a reflection across the x-axis.
Find the area of a triangle with a height of 38 and one side of 44
In triangle it is given that,
→ Height (h) = 38 cm
→ Base (b) = 44 cm
The formula we use,
→ Area of triangle = ½ × b × h
Now we have to,
find the area of the triangle,
→ ½ × b × h
→ ½ × 44 × 38
→ (44 × 38)/2
→ 1672/2 = 836 cm²
So, 836 cm² is area of triangle.
I am putting a lot of points on the line! Please help!!!!!!!!!
A hot-air balloon is 1200 feet off the ground and its altitude is slowly changing at a constant rate of −712 feet per second.
How many seconds, s, will it take for the balloon to drop to below 310 feet?
Drag and drop a symbol and value to correctly complete the solution to this inequality.
Answer:
s > 118 2/3
Step-by-step explanation:
Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair game?
Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.
Select a card from a set of cards with the letters A through D, then spin this once.
Randomly select a number from 1 to 16, then roll an 8-sided number cube with the digits 1 to 8.
Spin this and roll an 8-sided number cube with the digits 1 to 8.
Randomly select an odd digit {1, 3, 5, 7, 9}, then flip a coin twice.
Select a card from a set of cards with the letters A through N, then spin this once.
The set of actions that should be used is: toss a coin twice, then roll a 6-sided number cube
Which sets of actions can he use to have a statistically fair game?
We know tath the game has 24 possible outcomes. Then we need to find a set of actions that gives 24 different outcomes all with the same probability.
Of the given options, the only one that has a sample space of 24 elements is the first one.
Toss a coin twice and then roll a D6.
For each coin toss, the outcomes are 2 (tails and heads).
For the D6 there are 6 outcomes (1, 2, 3, 4, 5, 6)
Then the total number of outcomes for two tosses and rolling the number cube is given by the product between the numbers of outcomes for each individual part:
C = 2*2*6 = 4*6 = 24.
From this, we conclude that this is the correct option.
If you want to learn more about outcomes:
https://brainly.com/question/251701
#SPJ1
Answer:
the correct ones are
2, Select a card from a set of cards with the letters A through D, then spin this once.
5,Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.
6, spin this and roll an 8-sided number cube with the digits 1 to 8.
Step-by-step explanation:
so basically both the colored wheel answers and the one with the coin and cube
plato 2022
Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is . The center of the circle is at the point , and its radius is units.
7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.
Answer:
A. (x - 2)^2 + (y + 3)^2 = 18.
B. (2, -3)
C. 3(2^(1/2))
Step-by-step explanation:
The equation of this circle in standard form is (x - 2)^2 + (y + 3)^2 = 18. The center of the circle is at the point (2, -3), and its radius is 3(2^(1/2)) units.
100 POINTS PLEASE HELP FAST
Select the correct answer.
The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was half of its initial weight. After two hours, the weight of the isotope was half of its weight the previous hour. If this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time?
The top left graph represents the weight of the radioactive isotope over time.
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for the function in this problem are given as follows:
a = 96, b = 0.5.
Hence the function is given as follows:
\(y = 96(0.5)^x\)
Two points on the graph of the function are given as follows:
(1,48) and (2, 24).
Hence the top left graph represents the weight of the radioactive isotope over time.
More can be learned about exponential functions at brainly.com/question/2456547
#SPJ1
Answer:
Graph W
Step-by-step explanation:
The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.
Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).
The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.
Initial weight: 96 grams
After 1 hour: 96 / 2 = 48 grams
After 2 hours: 48 / 2 = 24 grams
After 3 hours: 24 / 2 = 12 grams
After 4 hours: 12 / 2 = 6 grams
After 5 hours: 6 / 2 = 3 grams
So, the points on the graph would be:
(0, 96), (1, 48), (2, 24), (3, 12), (4, 6), (5, 3)Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.
a spinner has an equal chance of landing on either red, blue, green, or yellow. You spin seven times. What is the probability that spinner lands on yellow exactly four times?
Answer:
4 of 7
Step-by-step explanation:
A coat and a pair of boots are on sale for 20% off. the regular price of the coat is 225$. the regular price of the boots is 130$. find the sale price of the coat. Explain. What is the sale price of the boots?
The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now on sale.
Given that,
20% off a coat and a pair of boots are now on sale. The coat normally sells for $225. The boots cost $130 on the open market.
We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,
The formula for the sales price is S = P - PD
Where, S is sales price, P is the original price and D is the discount percent.
P = 225 and D = 20%
S = 225 - 225 × 20%
S = 225 - 45
S = $180 is the sale price of coat.
Now,
Total regular price = 225 + 130 = 355
S = 355 - 355 × 20%
S = $284 is the sale price of boots.
Therefore, The sale price of coat is $180 and the sale price of boot is $284.
To know more about sales visit:
https://brainly.com/question/29199569
using the function below, calculate f(4).
Answer:
D. 8
Step-by-step explanation:
Using the graph of the function above, f(4) can be easily determined by tracing the corresponding coordinate of x = 4. When x = 4, on the x-axis, y = 8 on the y-axis.
The value of f(4), simply means, what is the value of y when x = 4.
Thus, the value of f(4) = 8.
The right answer is D. 8.
please help ill mark brainliest
Answer:
it's 11
Step-by-step explanation:
Solve (x+1)2 =13/4 using the square root property
Answer:
Starting with the equation:
(x + 1)^2 = 13/4
We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.
Taking the square root of both sides, we get:
x + 1 = ±√(13/4)
Simplifying under the radical:
x + 1 = ±(√13)/2
Now we can solve for x by subtracting 1 from both sides:
x = -1 ± (√13)/2
Therefore, the solutions to the equation are:
x = -1 + (√13)/2 or x = -1 - (√13)/2
Step-by-step explanation:
need help plz so can u
6th grade math I mark as brainliest
Answer:
8
Step-by-step explanation:
The exponent is the top number, which in this case would be 8.
Answer:
169.83
Step-by-step explanation:
big brain
Which of the following best describes a function? A function is any mathematical formula or graph. A function is any mathematical rule. A function is a formula that involves variables. A function is a rule that for each input has at most one output.
A function is a rule that for each input has at most one output.
Describe a function. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be traced back to the original input.
To know more about functions:
https://brainly.com/question/5975436
#SPJ4
Phyllis invested $11,000, a portion earning a simple interest rate of
2 1/2% per year and the rest earning a rate of 2% per year. After one year the total interest earned on these investments was $255.00. How much money did she invest at each rate?
She invest money at each rate
First = 1000
Second = 10,000
What is simple interest?Simple interest is a method of calculating the interest charge. The interest can be calculated as the product of principal amount, rate and time peroid.
We are given that Phyllis invested $11,000, a portion earning a simple interest rate of 2 1/2% per year and the rest earning a rate of 2% per year.
Given the following :
Amount invested = $11,000
A portion earns 2 and 1/2 % interest per year
The rest earns a rate of 2% per year
The Total Interst earned after a year = $255
Amount invested at each rate;
Let amount invested at 2 1/2% = a
Amount invested at 2% is; 11,000 - a
Simple interest = principal x rate x time
First investment :
a x 5/2% x 1
Second :
(11000 - a) x 2%
Firat investment + second = $225
a x 0.025 + (11000 - a) x 0.02 = 225
0.025a + 220 - 0.02a = 225
0.005a = 225 - 220
0.005a = 5
a = 5 / 0.005
a = 1000
Amount in first investment = 1000
Second investment = 11000 - 1000 = 10,000
Learn more about simple interest here;
https://brainly.com/question/1548909
#SPJ9
louis goal is to use 462 gallons of water or less per day at his business his water bill showed that 8,324 gallons were used in a 18 day period did loui meet his goal?
The true statement is that Loui did not meet his goal
How to determine if he meets his goalThe given parameters are:
Goal = 462 gallons per day (or less)
Days = 18 days
Amount = 8324 gallons
Start by calculating the rate of water used in this period
\(Rate = Amount/Days\)
So, we have:
\(Rate = 8324/18\)
Divide
\(Rate = 462.4\)
462.4 is greater than 462
Hence, Loui did not meet his goal
Read more about rates at:
https://brainly.com/question/8728504
HELP ASAP! Which of the following tables represents a linear function?
Table A -
x −2 −1 0 1 2
y 5 2 1 2 5
Table B -
x −2 −1 0 1 2
y 5 3 1 −1 −3
Table C -
x 3 3 0 3 3
y −2 −1 0 1 2
Table D -
x 0 1 2 3 4
y 0 −1 2 −3 4
Answer:
Table B -
x −2 −1 0 1 2y 5 3 1 −1 −3Step-by-step explanation:
You want to know which of the four offered tables represents a linear function.
DifferencesA linear function will have differences in y that have the same ratio to differences in x for all pairs of values in the table.
EvaluationTable A has x-differences that are 1 between adjacent terms. The y-differences are negative for the first pair of table values, but positive for the last pair (2 -5 vs 5 -2).
Table B has x-differences that are 1 between adjacent terms. The y-differences are -2 between any pair of adjacent terms, so their ratio to x-differences is -2/1 = -2, a constant. Table B represents a linear function.
Table C has x-differences that change from 0 to -3 to +3 while y-differences are constant at +1. The ratios of differences are not constant.
Table D has x-differences of +1, and y-differences that alternate in sign and magnitude.
Only Table B represents a linear function.
<95141404393>
There are 135 people in a sport centre.
77 people use the gym.
62 people use the swimming pool.
65 people use the track.
27 people use the gym and the pool.
23 people use the pool and the track.
31 people use the gym and the track.
4 people use all three facilities.
How many people use at least two
facilities?
Answer:
he total number of people who use at least two facilities is 4 + 45 = 49
Step-by-step explanation:
To find the number of people who use at least two facilities, we can find the number of people who use all three facilities and add the number of people who use only two facilities.
The number of people who use all three facilities is 4, and the number of people who use only two facilities is 27 + 23 + 31 - 3 * 4 = 45.
Therefore, the total number of people who use at least two facilities is 4 + 45 = 49.
12. Find the missing angles in the triangles.
The missing angles on the figure are as follows
v = y = 90 degreesz = 52 degreesw = x = 45 degreesHow to find the missing anglesThe missing angles ae solved as follows
v = y vertical angles theorem
Examining the figure shows that
v + 90 = 180 angle on a straight line
hence v = 180 - 90 = 90
so we can say that v = y = 90
Also, y + 38 + z = 180 angles in a triangle
90 + 38 + z = 180
z = 180 - 90 - 38
z = 52 degrees
furthermore, w = x base angle of isosceles triangle
w + x + v = 180
w + x + 90 = 180
w + x = 90
hence w = x = 45 degrees
Learn more about vertical angles at:
https://brainly.com/question/1673457
#SPJ1
what is 71.2 + d = 120?
Answer:
d = 48.8
Step-by-step explanation:
Subtract 71.2 from both sides:
71.2 + d - 71.2 = 120 - 71.2
Group like terms:
d + 71.2 - 71.2 = 120 - 71.2
Simplify the arithmetic:
d = 120 - 71.2
Simplify the arithmetic:
d = 48.8
Find the value of sin20 × sin30 × sin40 × sin80.
Please I need answers...
Answer:
3/16
Step-by-step explanation:
Prove that sin 20 ×sin40 × sin60 × sin80 = 3/16.
We have to prove sin 20 × sin40 × sin60 × sin80 = 3/16.
Consider LHS
sin 20 × sin 40 × sin60 × sin80
Sin Values
In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.
We know the trigonometric values of sin function
Proof
Consider LHS
sin 20 × sin 40 × sin60 × sin80
= sin60 [sin20 × sin40 × sin80]
= √3/2[sin20 × sin(60 – 20) × sin(60 + 20)]
= √3/2[sin 3(20)/4]
= √3/2[sin 60/4]
= √3/2[√3/2 × 4]
= √3/2 × √3/8 = 3/16
∴ LHS = RHS
Hence proved
what is the reciprocal for 4/9
Answer: 9/4
Step-by-step explanation:
Reciprocal means flip the fraction
The reciprocal of 4/9 is 9/4
Answer: the rciprocal is 9/4
Step-by-step explanation:
HELP! NO LINKS!!
line 1 (1,-6) (5,-4).
line 2 (8,-2) (5,4)
Answer:
Neither perpendicular or parallel
Step-by-step explanation:
here is it on a graph. They do not intersect and aren't the same distance apart
suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are hearts, your friend will pay you $600 Otherwise, you have to pay your friend $36. What is the expected value of your bet? Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
$1.41
Explanation:
• In a standard deck, there are a total of 52 cards; and
,• The number of Hearts = 13
First, we find the probability of drawing two hearts without replacement.
\(\begin{gathered} P(1st\text{ Heart)=}\frac{13}{52} \\ P(2nd\text{ Heart)=}\frac{12}{51} \\ P(\text{two hearts)}=\frac{13}{52}\times\frac{12}{51}=\frac{1}{17} \end{gathered}\)Next, find the probability of not drawing two hearts.
\(P(\text{not drawing two hearts)}=1-\frac{1}{17}=\frac{16}{17}\)So, we have that:
• You gain $600 with a probability of 1/17.
,• You lose $36 with a probability of 16/17.
The expected value of your bet therefore is:
\(\begin{gathered} (600\times\frac{1}{17})+(-36\times\frac{16}{17}) \\ =\$1.41 \end{gathered}\)The expected value is $1.41.
How many real and complex roots exist for the polynomial
F(x)= x³ +2x² + 4x+8 ?
OA. 2 real roots and 1 complex root
OB. 1 real root and 2 complex roots
C. 3 real roots and 0 complex roots
D. 0 real roots and 3 complex roots
The roots of the function F(x) = x³ + 2x² + 4x + 8 are given as follows:
B. 1 real root and 2 complex roots.
How to identify the zeros of the function?The function in this problem is defined as follows:
F(x) = x³ + 2x² + 4x + 8.
The function is of the third degree, hence the total number of zeros of the function is of 3.
From the graph, the function has only one x-intercept, which is given as follows:
x = -2.
Hence the two remaining roots are the complex roots, meaning that option B is the correct option for this problem.
More can be learned about the zeros of a function at brainly.com/question/16550963
#SPJ1
The reciprocal of four less than a number is three times the reciprocal of the number. Find the number. Enter your answer as an integer or a reduced fraction. Do not use decimals.
Please show your work!
Please explain your answer!
No spam answers!
No nonsense answers!
Thanks!
The number that is a reciprocal of four less than a number which is three times the reciprocal of the number means the number is; 4
What is the Reciprocal of the number?
The reciprocal of a number is defined as the multiplicative inverse of that given number. This means that the reciprocal of a number is defined as 1 divided by that given number.
The reciprocal of four less than a number is three times the reciprocal of the number. This can be expressed as;
x - ¹/₄ = 3(¹/ₓ)
where x is the unknown number.
Multiply through by 4x to get;
x² - x = 12
x² - x - 12 = 0
Factorize to get;
x² - 4x + 3x - 12 = 0
x(x - 4) + 3(x - 4) = 0
x - 4 = 0 or x + 3 = 0
x = 4 or - 3
x cannot be negative and so 4 is the answer.
Read more about Reciprocal of a number at; https://brainly.com/question/20896748
#SPJ1
Need to find the Step by step how to do this problem?
Answer:
y=10x+125
Step-by-step explanation:
rise over run, so y goes up by 10 each time and x goes up by one each time so that's your X, your b is where it starts at zero so if you did -1 for x you get zero but you have to do that with the y also so 135-10=125, 125 is where your y starts and that's your b
Graph the linear function using the slope and y-intercept.
y=1/3x+3
Answer:
Graphed this on desmos, hope it helped!!
Step-by-step explanation:
Molly is at the Ice Cream Store. To get there, she went 1 unit right and 7 units down. Which location did Molly start from?
Answer:
To get to the ice cream store, Molly went 1 unit right and 7 units down. This means that she moved 1 unit to the right from her original position and 7 units down from her original position.
So, to find Molly's starting position, we need to move 1 unit to the left from the ice cream store and 7 units up from the ice cream store.
Therefore, Molly started from a location that is 1 unit to the left and 7 units up from the Ice Cream Store.
Step-by-step explanation:
Question 33
Suppose 96 % of students chose to study Spanish their junior year, and that meant that there were 696 such students. How many students chose
not to take Spanish their junior year?
Answer:
110
Step-by-step explanation:
If 12% studied Spanish, then 88% did not. The ratio of those who did not to those who did is ...
88 : 12 = 22 : 3
Then the number of students who did not study Spanish is ...
(22/3)×15 = 110 . . . . did not study Spanish
22:3 is a reduction of the ratio 88:12, by factoring 4 from each number. 15 is the number of students corresponding to 12% of the class. It is found in the problem statement. Essentially, we're saying that we want to know the number of students in the other 88% of the class, given that 15 students make up 12% of the class. There are many ways to write equations for this. I think this proportion is the easiest to think about.
If F is the size of the freshman class, and n is the number Not studying Spanish, you have 12%·F = 15, and 15 + N = F. You can solve the first equation for F, then the second equation for N, which is what you really want to know. F = 15/.12 = 125; N = F -15 = 125-15 = 110.
These two equations are reasonably straightforward, but to my lazy way of thinking, it is an extra equation and an extra calculation that are not needed to get to the answer.
You don't need to reduce the ratio from 88/12 to 22/3 to work the problem using ratios. The only reason for doing that is so there is a 3 in the denominator that cancels a factor of 3 in 15, so the only math you really need to do is 22·5 = 110. It helps immensely to know your multiplication tables, and to be able to recognize multiples of 2 and 4.
Step-by-step explanation:
percentage of students not to take spanish is 4%
answer is 696*4/100=27.84
so 28 students not to take spanish