Answer:
V≈1767.15cm³
Step-by-step explanation:
Using the formulas
V=43πr3
d=2r
solving for v
V=16πd3=16·π·153≈1767.14587cm³
hope i helped plz mark me brainlest
Suppose that $10,083 is invested at an interest rate of 6.8% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
Answer:
a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]
b)
The balance after 1 year is of $10,768.644
The balance after 2 years is of $11,500.91
The balance after 5 years is of $14,010.25.
The balance after 10 years is of $19,467.15
c)
The doubling time is of 10.54 years.
Step-by-step explanation:
Continuously compounded interest:
The amount of money earning after t years, with interest compounded continuously, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.
a) Find the exponential function that describes the amount in the account after time t, in years.
Suppose that $10,083 is invested at an interest rate of 6.8% per year
This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 10083(1+0.068)^t[/tex]
[tex]A(t) = 10083(1.068)^t[/tex]
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
After 1 year:
[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]
The balance after 1 year is of $10,768.644
After 2 years:
[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]
The balance after 2 years is of $11,500.91.
After 5 years:
[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]
The balance after 5 years is of $14,010.25.
After 10 years:
[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]
The balance after 10 years is of $19,467.15.
c) What is the doubling time?
This is t for which [tex]A(t) = 2A(0)[/tex]. So
[tex]A(t) = A(0)(1.068)^t[/tex]
[tex](1.068)^t = 2[/tex]
[tex]\log{(1.068)^t} = \log{2}[/tex]
[tex]t\log{1.068} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]
[tex]t = 10.54[/tex]
The doubling time is of 10.54 years.
Select the value of r that makes 8r = 24 true
A. 1\3
B.3
C.16
D.32
Answer:
B) 3
Step-by-step explanation:
24÷8=3
3×8=24
so r is 3
A football team scored 16 points, which was 12 fewer points than their opponents scored. How many points, y, did their opponents score? *
1 point
y = 24
y = 28
y = 4
y = 18
NEED HELP!!! 10 PIONTS
Answer:
Y = 28
Step-by-step explanation:
Y=16 + 12 = 24
Therefore the y scored 24 points
Sam had 2/3 of a pie and gave Joe 1/2 of what he had. What fraction of the whole pie does Joe have?
Answer:
1/6
Step-by-step explanation:
He has 2/3 of a pie, and half of that is gonna be 1/3. If he gives away 1/3, 2/3-1/3=1/6 left because its not a fraction of his original piece that the question is asking for, but the whole pie
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
C closed
Step-by-step explanation:
Write an exponential function =for a graph that passes through (2,1) and (3,10). Ill give you whatever please help
Answer:
[tex]y = \frac{1}{100} \times 10{}^{x} [/tex]
Step-by-step explanation:
Use coordinates (2,1) and 3,10
The exponential equation is
[tex]y = a \times b {}^{x} [/tex]
Plug in the x and y values.xfor both functions of coordinates.
[tex]1 = a \times b {}^{2} [/tex]
[tex]10 = a \times b {}^{3} [/tex]
Divide the equation with the larger exponet by the other equation.
[tex]10 = b[/tex]
Substitute that in for one of the equations.
[tex]10 = a \times 10 {}^{3} [/tex]
Solve for a.
[tex]10 = a \times 1000[/tex]
[tex] \frac{1}{100} = a[/tex]
So our exponetial equation is
[tex]y = \frac{1}{100} \times 10 {}^{x} [/tex]
using the standard form ax^2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.
Answer:
See below
Step-by-step explanation:
Since you didn't give an actual quadratic equation and just the standard form equation, I will reduce ax^2+bx+c=0:
(ax+p)(x+q) where p+q=b and pq=c
) 1 point 15) At the end of a game, the Wildcats have 2 points and the Lancers have 6 points. Cassie says the Lancers scored 4 more points than the Wildcats. Mark says the Lancers scored 3 times as many points as the Wildcats. Who is correct? * Cassie is correct Mark is correct Neither is correct Both are correct
What is Olun 1
[tex] \frac{5}{6} - \frac{1}{4 } [/tex]
need help
Answer: =7/12
Step-by-step explanation:
100 POINTS!!
zapata junior high is considering changing its school colors. the results of a survey show that 20 of 36 students are in favor of the change. which is the best prediction for the number of students in the entire body of 1,200 students who are in favor of changing the school colors?
A. 50
B. 400
C. 660
D. 530
Answer: C
Step by Step Explanation: The answer is 660
The number of students in the entire body of 1,200 students who are in favor of changing the school colors is, 660
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
We have to given that;
The results of a survey show that 20 of 36 students are in favor of the change.
Now, Let number of students in the entire body of 1,200 students who are in favor of changing the school colors is, x
Hence, We can formulate;
⇒ 20 / 36 = x / 1200
⇒ 5 / 9 = x / 1200
⇒ 1200 × 5 / 9 = x
⇒ x = 6000 / 9
⇒ x = 660
Thus, The number of students in the entire body of 1,200 students who are in favor of changing the school colors is, 660
Learn more about the proportion visit:
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101
Figure ABCD is reflected across the x-axis.
What are the coordinates of A'B'C', and D',
Enter your answer by filling in the boxes.
9
7
5
A'D
2
1
4
B's
C'ad
D'
Answer:
私は人間の前に神の弓です
翻訳してください
Step-by-step explanation:
Help if you can!
Also, show work
thxxx <3
-10 pts
Answer:
1. A. 66 cubic inches.
2. A. 151,410,000
Step-by-step explanation:
For number one: Multiply 3 x 4 and that will give you 12 then multiply that by 11 and that will also give you 132. Lastly, divide 132 by 2 and it will get you 66 cubic inches.
For Number two: Multiply 420 by 721,000 and that will give you 302,820,000.
Once you have that, divide it by 2 and will give you 151,410,000.
which statements are true about the trigonometric ratios of this triangle
Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
By applying the sine and cosine rules in the given triangle,
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(30°) = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
sin(30°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
cos(60°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
sin(60°) = = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
Options (1), (2), (3) and (4) are the correct options.
Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Justin can use
while staying within his budget.
>
Inequality:
.
Submit Answer
attempt 1 out of 2
I need this answered as soon as possible it’s worth 100 points
Answer:
Step-by-step explanation:
The inequality Equation =
42 + 5x < 60
To stay within her budget of less than $60 she must use less than 3.6 Gigabytes
Step-by-step explanation:
Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.
Let the number of gigabytes = x
Under $60 means less than $60
The inequality =
$42 + $5×x < $60
42 + 5x < 60
Solving for x
42 + 5x < 60
5x < 60 - 42
5x < 18
x < 18/5
x < 3.6 Giga bytes
Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes
4764 to the nearest ten
kim's scores in the diving competition were 7,2, 6.975, 8.0 and 6.96 what is her total score
decimal
Answer:
8.0
Step-by-step explanation:
Elise is standing on top of a 48 foot building, and her height to her eye is 5.1 feet. Elise sees her friend, Molly standing on the ground. If Molly is 29.6 feet away from the base of the building and you wanted to find the angle of depression from Elise's eyes to Molly's feet, please write the final form of the equation you would use to determine the angle of depression.
Intitial set up equation:
Final equation (\angle∠ of depression = )
Answer:
Drip is the only answer
Step-by-step explanation:
Given points B (-9,5), L (5, 13), U (8,-4), and E(-1,-6).
A) Find the component form of vector BE.
B) Find the component form of vector UL.
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
find the geometric mean of 9 and 14
Answer:
foće de moçhò de casà là ocoreatane
explain how sandbars in the ocean are formed.
Answer:
Sandbars begin forming underwater. As waves break, this pulls material from the shoreline, migrating further into the ocean. During heavy storms, large waves can build sandbars far from shore, until they rise above the water's surface.
Step-by-step explanation:
Water brings sand and other sediment to the surface and creates a strip of land that lays between water.
plz crown
Is Michael correct? Will choose brainly
There are 870 people attending a conference.if 8.9% were canda how many people is this
Answer:
77.43
Step-by-step explanation:
Answer:
77.43 people were canda
Step-by-step explanation:
To find 8.9% of 870, we first turn 8.9% into a decimal. We can do this by shifting the decimal point two places to the left. This gives us 0.089. Now, we multiply this decimal by 870. Our product, 77.43, is our final answer.
please solve below !!
Answer:
square root of 113 or 10.6
Step-by-step explanation:
7^2+ 8^2= C
49+64=C
113=C
square root of 113 OR 10.6
Hope this helped :)
Answer:
The answer is: 10.63
Step-by-step explanation:
7^2+8^2=c^2
113=c^2
sqrt113
10.63
can i get brainliest
Swapna gathered data on the number of page views for each of her blog posts. For her 40 latest posts, she found a sample mean of 358 with a population standard deviation of 54.3. What is the approximate 95% confidence interval for her page views? HINT: It's not D.
A. 344 and 372
B. 356 and 360
C. 341 and 375
D. 336 and 380
Answer: for plato users
D. 341 and 375
Step-by-step explanation:
I just took the test
The approximate 95% confidence interval for Swapna's page views is [341, 375].
What is confidence interval?It is a range of values that's likely to include a population value with a certain degree of confidence. It is expressed as a percent (%) where a population mean lies between an upper and lower interval.A confidence interval is how much uncertainty is with any particular statistic.When it is a 95% confidence interval, it means a range of values that you can be 95% certain contains the true mean of the population.A confidence interval is obtained from the observed data that holds the actual value of the unknown parameter.Formula of confidence interval:Confidence interval = mean ± Z * (standard deviation/ √sample size)
For given question,
Sample size = 40
Sample mean = 358
Standard deviation = 54.3
Critical value at 95% confidence level= 1.96
Confidence interval = 358 ± 1.96 * (54.3/ √40)
= [358 - 1.96 * (54.3/ √40) ,358 + 1.96 * (54.3/ √40)]
= [341, 375] (approximately)
Learn more about confidence interval here
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How many zeros are in the product 4 x 10 7th power
Answer:
7 or 40,000,000
Step-by-step explanation:
The exponent (^7) is how many zeros for the 10. if there is 10^2 its just 100 because it's 10 * 10 or 100 (notice the zeros in the 10 * 10 equation? yup, there's 2) and the 4 is basically 4 * 10, it changes the 10 like 4*1 but with a lot of zeros if there were exponents (10^2) so just put them together and you get 4 * 10^7
10^7 (its just 10 times itself 7 times) = 10,000,000
4 * 10,000,000 = 40,000,000
Hope this helps
~R3V0
A triangle has angles measuring 23 and 48 degrees. What is the measure of the third angle?
Answer:
109
Step-by-step explanation:
Hope this helped :)
Answer: The answer is 48 degrees hope this helped
Step-by-step explanation:
y=6x^2-12x-1 minumim function value
Answer:
(−1,5)
Step-by-step explanation:
hope this helpes
Answer:
Step-by-step explanation:
Rose plans to have two children but doesn't know if they will be boy-boy, girl-girl, girl-boy, or boy-girl. What is the probability that she will have boy-girl? (1 point)
O 0.5
O 0.75
O 0.25
O 1.00
Write an equivalent expression for k + k + z + z + z
Answer:
2k + 3z
Step-by-step explanation:
k + k + z + z + z
2k + 3z
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
A,B,D
Step-by-step explanation: