Answer:
Step-by-step explanation:
The compound amount formula for continuous compounding is
A = Pe^(rt), where P is the initial amount, r is the interest rate as a decimal fraction, and t is the time in years. Here we have:
A = $11,000e^(0.048*17) = $24,875.80
Rounding this off to the nearest ten dollars, we get $24,880.
The amount of money that should be in the account after 17 years is $24,875.80.
Calculation of the amount of money:Since Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. And, there is 17 years
So, the amount should be
A = $11,000e^(0.048*17)
= $24,875.80
= $24,880
hence, The amount of money that should be in the account after 17 years is $24,875.80.
Learn more about an amount here: https://brainly.com/question/14634922
Plz, help me plz!!!!!!
Which triangles are congruent?
Image below
Answer:
B. Triangles A and C
Step-by-step explanation:
Let's find the missing angle of all Triangles:
Triangle A: 180-110-30=40°
Triangle B: 180-30-45=105°
Triangle C: 180-110-40=30°
All triangle angles in numerical order:
ΔA: 30, 40, 110
ΔB: 30, 45, 105
ΔC: 30, 40, 110
We see that only ΔA and ΔC are congruent with the same angle sizes.
135 = 2x + 25
solve for x
Answer:is 55
Step-by-step explanation:
135-25=2x
110/2=55
Answer:
x = 55
Step-by-step explanation:
First you start with your equation, which is: [tex]135=2x+25[/tex]
Subtract 25 from both sides. Once you do that, you get: [tex]110=2x[/tex]
Then after that, you divide both sides by 2. Then you get your answer, which is: [tex]x=55[/tex]
✌Hope I helped ya✌
y - 4x = 5
8x - 2y = 16
Solve using system of equations
Answer:
No solution
Step-by-step explanation:
Let's solve this system using elimination through addition/subtraction. Multiply the second equation by (1/2), which results in the system
y - 4x = 5
4x - y = 8
--------------
0x + 0y = 13. This is NEVER true. This system of equation has NO SOLUTION.
12 inches is a feet :))
i’m with the gàng, I’m with the fleet >:)
Answer:
12 inches is a foot * ;)
Step-by-step explanation:
4/7 of the students in a classroom are boys. If there are twelve girls in the class, how many total students are there?
Answer:
28 students total.
Step-by-step explanation:
Let's use a ratio:
boys : girls
4 : 3
16 : 12
To find the total, we need to add 16 and 12 which equals 28
Answer:
28 students
Step-by-step explanation:
If 4/7 of the students are boys,
then 1- 4/7 = girls
7/7 -4/7 = 3/7
total students *3/7 = girls
total students * 3/7 = 12
Multiply each side by 7/3
total students * 3/7 *7/3 = 12*7/3
total students = 28
3 POINSSSSSS
The bar graph shows the results of rolling a number cube (a die) 50 times. What is the probability of rolling an odd number? How does this compare with the theoretical probability of rolling an odd number?
Experimental Probability. Theoretical Probability
P(odd) = % P(odd) = %
Answer:
see below
Step-by-step explanation:
Experimental means what actually happened
P(odd) = (number of 1 + number of 3 + number of 5) / total
= (10+8+8) / 50
= 26/50
= 13/25 = 52%
Theoretical means what we expect to happen
P (odd) = (number of 1 + number of 3 + number of 5) / total
=(1+1+1)/6
=1/2 = 50%
We rolled an odd just a little more than the expected amount of times
Answer:
yes
Step-by-step explanation:
The permiter of a square with 12 inches and 2 semicircles are ...
The area of a square that is 12 inches and 2 semicircles are...
Answer:
12,14 .........................
2.) The equation yˆ=−8.74x2+50.57x+39.02 models the number of customers in a store x hours after opening.
Q 2 Options -Which number is the best estimate for the number of customers in the store 3 hours after opening?
A. 86
B. 47
C. 105
D. 112
3.The table shows the number of mobile cellular subscriptions per 100 people in Australia for different years.
Year 1993 1995 1997 1999 2001 2003 2005 2007 2009 2011
Cellular subscriptions / 100 people 4 12 25 33 57 72 90 101 101 108
The quadratic regression equation using the years since 1990 for the input variable and the number of cellular subscriptions for the output variable is yˆ=−0.107x2+9.008x−28.851.
What is the predicted number of cellular subscriptions per 100 people in Australia in 2030?
Round your answer to the nearest whole number. Enter your answer in the box.
4. Determine the equation of the quadratic regression curve for the data.
x 0 1 2 3 4 5 6
y 4.1 −0.9 −3.9 −5.1 −4.1 −1.1 4.1
Enter your answer in the box
5.The table shows the average number of miles traveled per person in the United States for different years.
Year 1915 1925 1935 1945 1955 1965 1975 1985 1995 2005
Average miles traveled per person 194 1056 1796 1788 3650 4569 6147 7460 9099 10,181
Find the quadratic regression equation using the years since 1900 for the input variable and the average number of miles for the output variable. Round each coefficient in the equation to the nearest thousandth.
Using the regression equation with rounded values, what is the best estimate for the average number of miles traveled per person in 1961?
Question 5 options:
A. 4324
B. 1885
C. 4191
D. 2398
Answer:
2. The correct option is;
D. 112
3. The predicted number of cellular subscription per 100 people in Australia in 2030 is 217 subscriptions
4. The equation of the quadratic regression curve is y = x² - 6×x + 4.1
5. The closest option is;
C. 4191
Step-by-step explanation:
2. The equation for the number of customers in a store is presented as follows;
y = -8.74·x² + 50.57·x + 39.02
Where:
x = Number of hours after opening
∴ When x = 3 hours
y = -8.74×3² + 50.57×3 + 39.02 = 112.07 ≈ 112 people
The correct option is D. 112
3. The expression of the regression equation is presented as follows
y = -0.107·x² + 9.008·x +28.851
Where:
x = Number of years since 1990, hence
When x = 2030 - 1990 = 40 Years
Hence, the predicted number of cellular subscriptions per people in 2030 is presented as follows;
y = -0.107×40² + 9.008×40 +28.851 = 217.971 Subscribers
To round down to the nearest whole number as y = 217 subscribers
4. The general form of a quadratic equation is presented as follows;
y = a·x² + b·x + c
When x = 0, y = 4.1, therefore;
4.1 = a×0² + b×0 + c = c
∴ c = 4.1
When x = 1, y = -0.9, therefore;
-0.9 = a×(1)² + b×1 + c = c
-0.9 = a + b + 4.1
∴ a + b = -0.9 - 4.1 = -5.0
When x = 2, y = -3.9, therefore;
-3.9 = a×(2)² + b×2 + c = c
-3.9 = 4·a + 2·b + 4.1
∴ 4·a + 2·b = -3.9 - 4.1 = -8.0
Thus we have two equations;
a + b = -5.0..................(1) and
4·a + 2·b = -8.0 ..........(2)
Multiply equation (1) by 2 and subtract it from equation (2), we have
4·a + 2·b - 2×(a + b) = *8.0 - (2 ×-5.0)
∴ 2·a = 2
a = 1
From equation (1,) we have;
a + b = -5.0..................(1)
Therefore, where a = 1 we have, 1 + b = -5.0
Hence, b = -5.0 - 1 = -6.0
Therefore, the equation of the quadratic regression curve is presented as follows;
y = x² - 6×x + 4.1
5. The quadratic regression equation is found as follows;
The general form of a quadratic equation is presented as follows;
y = a·x² + b·x + c
When x = 55, y = 3650, therefore;
3650= a×55² + b×55+ c................(1)
When x = 65, y = 4569, therefore;
4569= a×65² + b×65+ c ...........(2)
When x = 75, y = 6147, therefore;
6147= a×75² + b×75+ c............(3)
Solving the system of equation;
3650= a×55² + b×55+ c................(1)
4569= a×65² + b×65+ c ...........(2)
6147= a×75² + b×75+ c............(3)
Subtracting equation (1) from (2), we obtain;
4569 - 3650 = a×65² + b×65 + c - (a×55² + b×55 + c)
919 = 1200·a + 10·b...........(4)
Subtracting equation (2) from (3), we obtain;
6147 - 4569 = a×75² + b×75 + c - (a×65² + b×65+ c)
Which gives;
1578 = 1400·a + 10·b...........(5)
Subtracting equation (4) from equation (3), we obtain;
1578 - 919 = 1400·a + 10·b - (1200·a + 10·b)
659 = 200·a
a = 659/200= 3.295
Substituting the value of a in equation (4), we have;
919 = 1200×3.295 + 10·b = 3954 + 10·b
∴ 10·b = 919 -3954 = -3035
b = -3035/10 = -303.5
Substituting the value of a and b in equation (1), we have;
3650 = (3.295)×55² + (-303.5)×55+ c
3650 = -6725.125 + c
∴ c = 3650 - (- 6725.125)= 10375.125
Therefore, the quadratic regression equation is presented as follows;
y = 3.295·x - 303.5·b +10375.125
Hence, in 1961, x = 1961 - 1900 = 61, we have
y = 3.295×61² - 303.5×61 10375.125= 4122.32
Therefore, the closest option is C. 4191.
Answer:
Step-by-step explanation: I took the test and here are the answers
every natural number is a whole number why?
Answer:
Step-by-step explanation:
0 is whole number and 1 is natural number they both end in infinity. So there is only 0 in whole number but not in natural number.thats why every natural number is whole number
Natural numbers are the counting
numbers and they are always positive.
The set of natural numbers begin at 1 and go on indefinitely.
The natural numbers look like {1, 2, 3, 4, 5, ...}.
When we include 0 in the set of natural numbers, the new set,
{0, 1, 2, 3, 4, ...} is called the set of whole numbers.
Notice that all natural numbers are
included within the set of whole numbers.
We can represent the relationship between these
two sets of numbers using a diagram.
The bigger circle below represents the set of whole numbers
and all natural numbers will appear within the set of whole numbers.
In summary, natural numbers are the same as whole numbers except for the fact that whole numbers include 0.
I don’t understand how to do this problem. How would I solve it?
Answer:
About 2.569 seconds
Step-by-step explanation:
To solve this problem, you can separate it into two half parabolas. The beginning part is initial upward rising. To calculate the amount of time that this part of the dive takes, you can use the formula [tex]v_f=v_o+at[/tex], where [tex]v_f[/tex] is the final velocity, [tex]v_o[/tex] is the initial velocity, a is the acceleration due to gravity, and t is the amount of time it takes. You know that the final velocity is 0, since the diver is reaching the terminal of their dive. Therefore, you can set up the following equation (assuming that the acceleration due to gravity is 32ft/s^2):
[tex]0=5+(-32)t[/tex]
[tex]t=5/32[/tex] seconds
To find the height that this indicates the diver has risen, you can plug this time into the following formula: [tex]d=v_o t+\frac{1}{2}at^2[/tex]
[tex]d=5(5/32)+\frac{1}{2}\cdot 32\cdot (5/32)^2\approx 1.172[/tex] feet
For the second part, you can use the equation [tex]d=v_o t+\frac{1}{2}at^2[/tex] again. Since the initial velocity for this part is 0, you can set up the following equation:
[tex]92+1.172=\frac{1}{2}\cdot 32 \cdot t^2[/tex]
[tex]t \approx 2.413[/tex]
Adding this to the time that the first part of the dive takes, you get a total of about 2.569 seconds. Hope this helps!
Kayla says that the point labeled C in the diagram below is the center.
Raymond says that point C is the radius.
Who is correct and why?
A.Kayla is correct; the center is a fixed point in the middle of the sphere.
B.Kayla is correct; the center is a line segment from the center to the surface of the sphere.
C.Raymond is correct; the radius is the fixed point in the middle of the sphere.
D.Raymond is correct; the radius is a chord that is from the center to the surface of the sphere.
HURRY I WILL GIVE U THE BRAINLYEST BECAUSE I AM IN A TIMER PLZ!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Tamara stacked two cubes, as shown. 2 stacked cubed. One cube has side lengths of 24 inches, and the second cube has side lengths of 12 inches. What is the total volume of the cubes? 1st cube volume: V = Bh V = (12)(12)(12) 2nd cube volume V = Bh V = (24)(24)(24) The total volume of the cubes is cubic inches.
Answer:
15 552 in³
Step-by-step explanation:
Since cubes have the same side lengths all around, to find the volume, you need to have one side length and cube it.
Cube 1 : 24³ = 24 x 24 x 24 = 13 824 in³
Cube 2 : 12³ = 12 x 12 x 12 = 1 728 in³
Now, to find the total, just add the volumes.
13 824 + 1 728 = 15 552 in³
The total volume of the cubes is V = 15,552 cubic inches
What is the Volume of a Cube?The formula of volume of the cube is given by:
Volume of Cube = a x a x a
Volume of Cube = a³
where a is the length of its sides or edges
Given data ,
The volume of the first cube with side length of 24 inches is given by:
V1 = (24 inches)³ = 13,824 cubic inches
The volume of the second cube with side length of 12 inches is given by:
V2 = (12 inches)³ = 1,728 cubic inches
The total volume of the two cubes is the sum of their volumes:
Total volume = V1 + V2 = 13,824 + 1,728 = 15,552 cubic inches
Hence , the total volume of the cubes is 15,552 cubic inches
To learn more about volume of cube click :
https://brainly.com/question/27770332
#SPJ3
A cow can give 5 gallons of milk if it eats 2 pounds of grass. Express x in terms of y, where y is the number of gallons of milk the cow gives, and x is the number of pounds of grass it eats.
Answer:
x = 2.5y
Step-by-step explanation:
If a cow can give 5 gallons of milk after eating 2 pounds of grass.
Let's consider 'x' is the number of pounds of grass it eats and 'y' is the number of gallons of milk the cow gives.
Hence,
5y = 2x
We will simplify it to get what x equal to y by dividing 2 on both side we find,
x = 2.5y
x is equal to 2.5 y
By eating 1 pound of grass cow can give 2.5 gallons of milk.
Answer:
26xy
Step-by-step explanation:
#THANKMELATER
PLZZZZZZZZZZ HELP MEEEEEEEE
Answer:
D
Step-by-step explanation:
[tex]2x^2+2x+12=3x^2-x+2\\2x+12=x^2-x+2\\x^2-3x-10=0\\(x-5)(x+2)=0\\x=5, -2[/tex]
The correct answer is choice D. Hope this helps!
Answer:
{-5, 2}
Step-by-step explanation:
[tex]2x^{2} + 2x + 12 = 3x^{2} -x + 2[/tex] move everything to the right side
[tex]-2x^{2} -2x-12=-2x^{2} -2x-12[/tex] add line 1 and 2 to get the below equation
[tex]0 = x^{2} -3x -10[/tex] find multiples of -10 that add to give you -3
to get -10 we have to have (+)(-)
{-5, 2}
This is a very important opinion question. Answer however you want to lol
1. Whats the best burger place, ice cream place, and groceery store you have ever been to?
2. Whats the best sugary treat and where can you buy it.
3. Your favorite word (ex. potato)
Answer:
1. In & Out, Jeremiah's Ice cream, and Costco
2. Circus Peanuts, at a local grocer (Publix, Winn-Dixie)
3. Irrationally
Step-by-step explanation:
A 4-foot long steel pipe consists of two concentric cylinders, with the inner cylinder hollowed out. The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe is 5.75 inches.
A. Determine the volume of metal used to build the pipe
B. If the pipe is to be powder-coated on the inside and outside surfaces, what is the total surface area to be powder-coated?
Answer:
Step-by-step explanation:
The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe
is 5.75 inches
Determine the volume of metal used to build the pipe.
HELP PLEASE:
I am not understanding on how to solve this problem, and a step by step explanation would help a lot.
A random sample of 120 is taken from a population of 10000. From a previous survey, it is believed that 62% of the population has an Instagram account. Find the mean and standard deviation of the sample proportion. Give the standard deviation to two nonzero decimals (such as .012 and not .01).
(mean subscript p-hat) μˆp =
(standard deviation subscript p-hat) σˆp=
Answer: Mean of the sample proportion = 74.4
Standard deviation of the samnple proportion is 5.32.
Step-by-step explanation:
Given : A random sample of 120 is taken from a population of 10000.
Let n = 120
Also, from previous survey, it is believed that 62% of the population has an Instagram account.
i.e, population proportion : p = 0.62
Now , the mean of the sample proportin would be :
[tex]\text{Mean}=\mu_{\hat{p}}=np\\\\=120\times0.62=74.4[/tex]
i.e. Mean of the sample proportion = 74.4
The standard deviation of the samnple proportion would be :
[tex]\text{standard deviation}=\sigma_{\hat{p}}=\sqrt{np(1-p)}\\\\=\sqrt{120(0.62)(1-0.62)}\\\\=\sqrt{28.272}\\\\=5.31714208951\approx5.32[/tex]
Thus , the standard deviation of the samnple proportion is 5.32.
The answer to 7/12 divided by 2
Answer: 7/24
Step-by-step explanation: Think of the 2 as 2/1.
When dividing by a fraction, we can simply change, we can simply change the multiplication sig to division and take the reciprocal of the second fraction or flip the second fraction.
So our problem can be rewritten as [tex](\frac{7}{12})[/tex] [tex]x[/tex] [tex](\frac{1}{2})[/tex].
Now multiplying across the top and bottom we get 7/24.
Answer:
7/24
Step-by-step explanation:
the guy was right! (also khan said so)
If y varies inversely as x and y = 8 when x = 9, find x when y = 12.
Answer:
x = 6
Step-by-step explanation:
An inverse variation is
xy = k where k is the constant of variation
8*9 = k
72 = k
xy = k
Let y = 12
x*12 = 72
Divide each side by 12
12x/12 =72/12
x = 6
QUESTION 1 What is the median of the data set? 23 19 13 11 17 19 18 12 17 19
Answer:
17.5
Step-by-step explanation:
First you need to put those numbers in order from least to greatest
second go from each side and count till you get to the middle 17 and 18
third add 17 + 18 = 35
fourth divid by 2 35/2 = 17.5
Hope this helps
8. Is this relation a function?
{(1, 1)(2, 2)(3, 3)(4,4)}
a) Yes
b) No
Answer:
Yes
Step-by-step explanation:
The inputs in a function should have only one output. In other words, each x value should only be assigned to one y value.
For example, (−2, −1),(1, 0),(1, 5),(2, 0) would not be a function because x value 1 is assigned to both number 0 and number 5.
In (1, 1)(2, 2)(3, 3)(4,4), non of the X values repeat themselves, so it IS a function.
6. David leaves the house to go to school He walks 200 m west and 125 m
north. Calculate how far he is from the sting point.
Answer:
~235.8
Step-by-step explanation:
200^2 +125^2= distance traveled^2
55625= distance traveled^2
235.849528301
Stir-fry is tony's favorite food to cook, but it always makes a lot of smoke! Tony needs to know the volume of his kitchen so he can buy a fan that is the right size. Tony's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of tony's kitchen?
Answer:
Volume = 680 ft³
Step-by-step explanation:
Given
Floor Area = 85 ft²
Height = 8 ft
Required
Volume of the Kitchen
To solve this, it'll be assumed that Tony's kitchen has a regular shape.
Having said that, the volume of Tony's kitchen is calculated as thus.
Volume = Floor Area * Height.
Substitute the values of floor area and height
Volume = 85ft² * 8ft
Volume = 680 ft³
Hence, the volume of Tony's kitchen is 680ft³
4.16×10^−5 divided by 8.0×10^−4 in scientific notation
Answer: 13/250 or 0.052
Step-by-step explanation:
4.16 (1/100000)/ 8 (10^-4)
Then keep doing order of operations and dividing down.
Answer:
5.2*10^-2
Step-by-step explanation:
Which change can be made to correct the chart
Answer:
what chart
Step-by-step explanation:
which explains how to find the radius of a circle whose equation is in the gorm x^2+y^2=z
if you could show us the picture then maybe i can help you
1. Express as a unit rate
a) Serena walks 4 km in 1 h.
Answer:
Step-by-step explanation:
Serena walks 4 km in 1 h.
That means:
1) She walks 4 km per hour.
2) She spends 1/4 = 0.25 hour per mile.
Have a good day.
We can write this as:
4 kilometers/1 hour
The unit rate is already simplified so there is nothing else to do.
Answer: 4km/1hr
Best of Luck!
Find the area of the shape
(shown in image)
Answer:
A = 108 units^2
Step-by-step explanation:
A = (1/2)(1 + 8)(24)
A = (1/2)(9)(24)
A = (9)(12)
A = 108
Answer:
108
Step-by-step explanation:
If it's a whole rectangle, the are would be 192
The piece that's missing is a right triangle.
The area of the right triangle = 1/2 base x height = (1/2)(7)(24) = 84
A = 192 - 84
A = 108
Find the area of the semicircle? Helpppp
Answer:
14.135
Step-by-step explanation:
6 divided by 2 (half) = 3, π·32≈28.27433 dived by 2 (half) equals 14.135
Answer:
14.13 units ^2
Step-by-step explanation:
A= 3.14 (3)^2 (area of a circle)
A= 28.26 / 2 (divide to find half of the circle)
A=14.13 units ^2
What the simplified radical form is
Answer:
3√7
Step-by-step explanation:
√63
√3x21
√3x3x7
3√7
