Answer: 15.8
In this number, .8 is the tenths place. So round it to this number.
.839 rounded to nearest tenth = .8
Your result should be 15.8.
15.839 rounded to the nearest tenth is 15.8.
What is the range of f(x) = -62*?
O A. y< 1
OB. y<0
O C. y> 0
O D. All real numbers
Answer:
D. all real numbers
Step-by-step explanation:
i think this is the answer sorry if you get it wrong.
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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What is the Q1 for this data set?
2,3,5,5,6,8,8,10,11,11,11,12)
A. 5
B. 8
C. 10
D. 11
Answer:
5
Step-by-step explanation:
its the middle of the first half
David can receive one of the following two payment streams:
i. 100 at time 0, 200 at time n, and 300 at time 2n
ii. 600 at time 1 0
At an annual effective interest rate of i, the present values of the two streams arc equal. Given v^n = 0.75941.
Determine i.
Answer:
3.51%
Step-by-step explanation:
From the given information:
For the first stream, the present value can be computed as:
\(= 100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}}\)
Present value for the second stream is:
\(=\dfrac{600}{(1+i)^{10}}\)
Relating the above two equations together;
\(100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}} =\dfrac{600}{(1+i)^{10}}\)
consider \(v = \dfrac{1}{1+i}\), Then:
\(\implies 100+200v^n + 300v^{2n} = 600 v^{10}\)
where:
\(v^n = 0.75941\)
Now;
\(\implies 100+200(0.75941) + 300(0.75941))^2 = 600 (v)^{10}\)
\((v)^{10} = \dfrac{100+200(0.75941) + 300(0.75941))^2 }{600}\)
\((v)^{10} = 0.7082\)
\((v) = \sqrt[10]{0.7082}\)
v = 0.9661
Recall that:
\(v = \dfrac{1}{1+i}\)
We can say that:
\(\dfrac{1}{1+i} = 0.9661\)
\(1 = 0.9661(1+i) \\ \\ 0.9661 + 0.9661 i = 1 \\ \\ 0.9661 i = 1 - 0.9661 \\ \\ 0.9661 i = 0.0339 \\ \\ i = \dfrac{0.0339}{0.9661} \\ \\ i = 0.0351 \\ \\ \mathbf{i = 3.51\%}\)
A wire is 71cm long . you wish to cut it into two pieces. One piece is bent into shape of triangle with legs of equal length .The piece is to be bent into shape of circle .
To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)
The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)
The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)
Solving for\(\(x\),\) we divide both sides of the equation by 3:
\(\(x = \frac{71}{3}\).\)
Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.
The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:
\(\(x = 2\pi r\).\)
Substituting the value of x we found earlier, we have:
\(\(\frac{71}{3} = 2\pi r\).\)
Solving for r, we divide both sides of the equation by \(\(2\pi\):\)
\(\(r = \frac{71}{6\pi}\).\)
Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.
In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.
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Doug and Myra deposit $600.00 into a savings account which earns 5% interest compounded monthly. They want to use the money in the account to go on a trip in 2 years. How much will they be able to spend? . n Use the formula A = P 1 + where A is the balance (final amount), P is the principal (starting mount), r is the interest rate expressed as a decimal, n is the number of times per year that the terest is compounded, and t is the time in years. und your answer to the nearest cent.
Given:
P = $ 600.00
r = 5% = 0.05
n = 12 (monthly)
t = 2 years
Required:
balance (final amount), A = ?
Solution:
\(\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ A=600(1+\frac{0.05}{12})^{12^{\prime}(2)} \\ A=600(1.00417)^{24} \\ A=662.96 \end{gathered}\)Answer:
A = $ 662.96
Taylor has a points card for a movie theater.
She receives 20 rewards points just for signing up.
She earns 13.5 points for each visit to the movie theater.
She needs 209 points for a free movie ticket.
How many visits must Taylor make to earn a free movie ticket?
Answer:
14
Step-by-step explanation:
4500 tennis balls will be used during the tournament in a ratio of 1:2 white to yellow.
Answer: 1500 white tennis balls and 3000 yellow tennis balls
Step-by-step explanation:
The tournament will use a total of 3000 yellow tennis balls and 1500 white tennis balls. This is because the ratio of white to yellow tennis balls is 1:2, which means that for every one white ball, two yellow balls will be used. To determine the number of yellow balls, we can divide the total number of balls by the sum of the ratio terms which is 1+2=3. Then, we multiply the result by the second term in the ratio which is 2/3. This gives us:
4500 / 3 = 1500 (white balls)
4500 * (2/3) = 3000 (yellow balls)
Therefore, there will be 1500 white tennis balls and 3000 yellow tennis balls used during the tournament.
Answer:
1500 white to 3000 yellow
Step-by-step explanation:
1500:3000
How to solve adjacent angles?
Answer:
D
Step-by-step explanation:
1 + 4x and 57° are corresponding angles and are congruent , so
1 + 4x = 57 ( subtract 1 from both sides )
4x = 56 ( divide both sides by 4 )
x = 14
ITS TIMED PLS QUICK A gardener would like to add to their existing garden to make more flowers available for the butterflies that visit the garden. Her current garden is 45 square feet. If she added another rectangular piece with vertices located at (−21, 7), (−23, 7), (−21, 12), and (−23, 12), what is the total area of the garden? FOR 20 POINTS
10 ft2
55 ft2
225 ft2
450 ft2
Answer:
55ft2
Step-by-step explanation:
Find the area of the added rectangle
-23 - -21 = 2ft
12-7 = 5ft
A=bh = 2ft x 5ft = 10ft^2
add old area and new area
45ft^2 + 10ft^2 = 55ft^2
Answer:
55 ft2
Step-by-step explanation:
Since the x values are -21 and -23, it shows that they are 2 points away from eachother. They y values are 7 and 12 so they are 5 points away from eachother. Multiply 2 x 5 = 10 which is the area of the new garden. Since the old garden is 45 square feet, add 10 + 45 to get 55 square feet total.
A drawer contains 10 blue pens, 12 black pens, and 3 red pens. Without looking, Mr. Lopez is going to take one pen from the drawer, use it, and then put it back into the drawer. Then he is going to take another pen from the drawer to use. What is the probability of Mr. Lopez taking a red pen first and then taking a blue pen?
Answer: 4.8%
Step-by-step explanation: the total amount of pens in the drawer is (10+12+3) = 25
the amount of red pens in the drawer is 3
the probability of picking out a red pen from the drawer = 3/25
the amount of blue pens in the drawer is 10
the probability of picking out a red pen from the drawer = 10/25
the probability of picking out a red pen then a blue pen afterwards = (10/25 x 3/25) = 4.8%
You can sand 4/9 square yard of wood in 1/2 hour. How many square yards can you sand in 3.2 hours? Justify your answer.
Answer:
4/9 = 1/2 x
Step-by-step explanation: 2.84 sands
14/15 + 8/15 + 4/5 please help
Answer:
\(=\frac{34}{15}\)
\(=2\frac{4}{15}\)
Step-by-step explanation:
With unlike denominators find the Least Common Denominator (LCD)
LCD = 15
Multiplying numerators and denominators to get the LCD in all fraction denominators
\(=\frac{14}{15} +\frac{8}{15} +\frac{4*3}{5*3}\)
With like denominators we can operate on just the numerators
\(=\frac{14+8+12}{15}\)
\(=\frac{34}{15}\)
Simplifying the answer
\(=\frac{34}{15} \\=2\frac{4}{15}\)
Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand B. Of all these soft drink consumers, 20% prefer Brand A and are female, and 40% prefer Brand B and are female. What is the probability that a randomly selected consumer is female, given that the person prefers Brand A? A. 0.18 B. 0.21 C. 0.34 D. 0.67
Answer:
The answer to this question should be D. 0.67
Hope this helped.
what us the measure of angel 1? URGENTT
1. 117
2. 85
3.63
4.95
Answer:
2. 85
Step-by-step explanation:
a fles in triangle add to 180°
180-70-47=63°
opposite angles equal the same
so the angle on the same line as 32° is 63°
180-63-32=85
so angle 1 is 2. 85
31.8 dived 0.58 answer
Answer:
54.8275862069
Step-by-step explanation:
If you want rounded than 54
The distance between two points is √39 One endpoint is (4,−3). It is known that the y-coordinate of the other endpoint is 2.
What is the x-coordinate of this endpoint?
Answer:
\((4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)\)
Step-by-step explanation:
We have the two points: (4, -3) and (x, 2).
We know that the distance between them is √39.
To find our x-coordinate of the second point, we can use the distance formula:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)
Let (4, -3) be (x₁, y₁) and let (x, 2) be (x₂, y₂). We also know that the distance d is √39. Substitute:
\(\sqrt{39}=\sqrt{(x-4)^2+(2-(-3))^2\)
Solve for x. First, let's square both sides. This cancels out the square roots:
\(39=(x-4)^2+(2+3)^2\)
Evaluate the second term on the right:
\(39=(x-4)^2+(5)^2\)
Square:
\(39=(x-4)^2+25\)
Subtract 25 from both sides:
\(14=(x-4)^2\)
Take the square root of both sides. Since we're taking an even root, we need plus/minus. So:
\(x-4=\pm\sqrt{14}\)
Add 4 to both sides:
\(x=4\pm\sqrt{14}\)
Therefore, there exists two possibilities for our second point. It can either be:
\((4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)\)
And we're done!
The graph of a linear relationship contains the points (1,10) and (3,16) write the equation of the line in slope
Answer:
Step-by-step explanation:
The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.
Answer y == 3
+7
Step-by-step explanation:
The graph of a linear relationship contains the points (1, 10) and (3, 16).
Write the equation of the line in slope-intercept fo
Step-by-step explanation:
the general slope-intercept form is
y = ax + b
a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.
b is the y-intercept - the y value when x = 0.
for the slope we see
x changes by +2 (from 1 to 3)
y changes by +6 (from 10 to 16)
so, the slope a is +6/+2 = 3
and the semi-ready equation is
y = 3x + b.
now we use one of the points in the equation to solve for b. I picked (1, 10) :
10 = 3×1 + b = 3 + b
b = 7
so, the full equation is
y = 3x + 7
Help please? What do I do?
You have just bought a new Sony 55" 3D television set for $1,800. The value of the television set decreases by $210 per year. How long before the television set is worth half of its original value?
Round your answer to the nearest tenth as needed.
Please help me with this:
A teacher decorated her classroom with 3 times as many balloons as paper fans. She used 12 fewer streamers than twice the number of paper fans. If the teacher had a total of 120 balloons, paper fans, and streamers, how many of each kind of decoration did she use?
Answer:
She used 22 paper fans, 66 balloons, and 32 streamers.
Step-by-step explanation:
In order to solve this problem, we need to find out the value of the paper fans. Because we need to find out the balloon amount, which is 3 times as much. The amount of streamers is 12 fewer than two times. We can't find it out just yet since we don't know the value of the paper fans. To find it out:
First, let's call the amount of paper fan as "x".
Then, we need to find out the amount of balloons. It is 3 times x. Which is the same as 3x.
The equation is now x + 3x + (?) = 120
We need to find out the amount of the (?).
So, to do that, it says the value is 12 fewer than 2 times the value of x. (x, because it is the amount of paper fans.)
It should be 2x-12.
Now, the equation is x+3x+2x-12=120.
Once we solve it, we know "x" is 22.
Now, we can multiply 3 by 22. Which is 66.
Then we can multiply 22 by 2, which is 44, and subtract 12, which is 32.
To double check, 22 + 44 + 32 = 120.
That's your answer!
Answer:
Step-by-step explanation:
its 22, and 66, and 32
Age of Senators The average age of senators in the 108th Congress was 56.5 years. If the standard deviation was 12.5 years, find the Z-scores corresponding to the oldest and youngest senators of age 85 and 39. Round z scores to two decimal places. Part: 0/2 Part 1 of 2 The Z-score corresponding to the oldest senator of age 85 is oll
Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.
To find the Z-score corresponding to a particular value in a normal distribution, we use the formula:
Z = (x - μ) / σ
where x is the value of interest, μ is the mean, and σ is the standard deviation.
Part 1 of 2: For the oldest senator of age 85:
Z = (x - μ) / σ = (85 - 56.5) / 12.5 ≈ 2.28
Rounding to two decimal places, the Z-score corresponding to the oldest senator of age 85 is 2.28.
Part 2 of 2: For the youngest senator of age 39:
Z = (x - μ) / σ = (39 - 56.5) / 12.5 ≈ -1.4
Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.
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Pls help 3 question answer all of them true of false helllppp
the answer is true i looked it up
the three data sets show the number of text messages sent by jada, and diego, and lin over 6 days. one of the data sets has a mean of 4, one has a mean of 5, and one has a mean of 6.
1. which data set has which mean? what does this tell you about the text messages sent by the three students?
2. which data set has the greatest variabillity? Explain
1. Jada's data set has a mean of 5, Diego's data set has a mean of 6, and Lin's data set has a mean of 4.
2. The data set that has the greatest variability is Lin's data set because it has the highest standard deviation of 3.6.
How to calculate the mean for the set of data?In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:
Mean = [F(x)]/n
Question 1.
In this scenario and exercise, we would determine the mean of the three data sets based on the number of text messages sent by Jada, and Diego, and Lin over 6 days as follows;
Mean number of text for Jada = (4 + 4 + 4 + 6 + 6 + 6)/6
Mean number of text for Jada = 30/6
Mean number of text for Jada = 5.
Mean number of text for Diego = (4 + 5 + 5 + 6 + 8 + 8)/6
Mean number of text for Diego = 36/6
Mean number of text for Diego = 6.
Mean number of text for Lin = (1 + 1 + 2 + 2 + 9 + 9)/6
Mean number of text for Lin = 24/6
Mean number of text for Lin = 4.
Question 2.
In Statistics, variability is a measure of the spread of a data set. Also, we would use standard deviation to determine the variability in each data set as follows;
Standard deviation = √(1/n × ∑(xi - u₁)²)
Standard deviation for Jada = √(1/6 × [(4 - 5)² + (4 - 5)² + (4 - 5)² + (6 - 5)² + (6 - 5)² + (6 - 5)²]
Standard deviation for Jada = √(6/6) = 1
Standard deviation for Diego = √(1/6 × [(4 - 6)² + (5 - 6)² + (5 - 6)² + (6 - 6)² + (8 - 6)² + (8 - 6)²]
Standard deviation for Diego = √(14/6) = 1.53
Standard deviation for Lin = √(1/6 × [(1 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (9 - 4)² + (9 - 4)²]
Standard deviation for Lin = √(76/6) = 3.6
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling
Answer:
Step-by-step explanation:
i am working on the assumption that nobody does all three of them
i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.
the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.
so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4
Show all work pls and thank :-)
Answer:
-a^3 -3a^2
Step-by-step explanation:
(fg) (x) = x^2 (x-3)
= x^3 - 3x^2
(fg) (-a) = (-a)^3 -3 (-a)^2
= -a^3 -3a^2
What is the image point of (-2,-2) after a translation right 3 units and up 1 unit?
Answer:
(1,-1)
Step-by-step explanation:
at the movies, la quinta paid for drinks and popcorn for herself and her two children. she spend twice as much on popcorn as on drinks. if her total bill came to $17.94, how much did she spend on drinks and how much did she spend on popcorn?
Answer:
Step-by-step explanation:
let the amount spent on popcorn be x and amount spent on drinks be y
If the total bill paid is $17.94, then x+y = $17.94
If she spend twice as much on popcorn as on drinks, then y = 2x
Substitute y = 2x into the original equation
x+y = $17.94
x + 2x = $17.94
3x = $17.94
x = $17.94/3
x = $5.98
Since y = 2x
y = 2($5.98)
y = $11.96
Therefore she spent $5.98 on popcorn and $11.96 on drinks
What is 23.2639 rounded to the nearest hundredth?
Answer:
23.26
Step-by-step explanation:
I hope is helps and I hope you get right but I tried at least.
Answer:
23.26
Step-by-step explanation:
A simple search on rounding calculator and i took the k-12 test and got it right
1. Twelve years ago, your grandma put money into a savings account for you that earns 7.5% interest annually and is
continuously compounded. How much money is currently in your account if she initially deposited $10,000 and you
have not taken any money out?
Answer:
23,817$
Step-by-step explanation:
And you will have earned 13,817 in interest.
The final amount of money $10000 of 7.5% compound interest for 12 years is $23817.79.
What is compound interest?
Compound interest is applicable when there will be a change in principal amount after the given time period.
If you give anyone $500 at the rate of 10% annually then $500 is your principle amount.
Given that,
Principle amount P = $10000
Rate of interset R = 7.5% = 0.075
Time period T = 12 years
Compound interest formula ;
A = P[1+R]^T
A = 10000[1+0.075]¹²
A = $23817.79
Hence "The final amount of money $10000 of 7.5% compound interest for 12 years is $23817.79".
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the height y (in feet) of a ball thrown by a child
Y=-1/16x^2+4x+3
Using Quadratic formula, x = 0.18 ft.
Keep in mind that since the quadratic is downward facing, the vertex will be the highest point, the y-intercept will represent the starting height, and the positive x-intercept will represent the distance to the child.
(a) Locate the y-intercept by setting x = 0 and solving for y.
y = -116(0)2+4(0)+3 = 3 ft
(b) As the maximum height is being requested, determine the vertex's y-value.
Vertex x-value: x=-b/2a=-4/(2*-116)=1/58
Vertex's y-value is given by: y = -116(1/58)2+4(1/58)+3 = 3.03 ft (return the x-value to the equation).
Locate the positive x-intercept (y = 0) in (c).
0 = -116x2+4x+3
Using the quadratic formula because it cannot be factored
x = [-4 ± √(42-4(-116)(3))]
/(2*-116) = -0.14 or 0.18 ft
x = 0.18 ft
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Complete Question -
The height y (in feet) of a ball thrown by a child is y=−116x2+4x+3
The height y (in feet) of a ball thrown by a child is
y=−116x2+4x+3
where x is the horizontal distance in feet from the point at which the ball is thrown.
(a) How high is the ball when it leaves the child's hand? feet
(b) What is the maximum height of the ball? feet
(c) How far from the child does the ball strike the ground? Round your answers to the nearest 0.01. feet