as a town gets smaller the population of its high school decreases by 5% each year. The senior class has 160 students now. In how many years will it have about 100 students? Write an equation. Then solve the equation without graphing. Write an equation to represent the situation. Let n be the number of years before the class will have 100 students.
Answers
Answer:
T_n = 160(0.05)^(n - 1)
At T_n = 100, n = 1 year
Step-by-step explanation:
We will use geometric progression to solve this question.
Formula for nth term of a GP is;
T_n = ar^(n - 1)
We are told the population of its high school decreases by 5% each year.
This means r = 0.05
senior class has 160 students. Thus a = 160
Thus,T_n = 160(0.05)^(n - 1)
Where n is number of years after now.
We want to find the number of years before the class will have 100 students
Thus;
160(0.05)^(n - 1) = 100
(0.05)^(n - 1) = 100/160
(n-1)In 0.05 = In (100/160)
-2.9957(n - 1) = -0.47
(n - 1) = 0.47/2.9957
n = 1 + 0.1569
n = 1.1569
Approximating to the nearest whole number gives n = 1
Related Questions
Solve
b/5 - 37 < -44
Answers
Answer:
Step-by-step explanation
B<-35
Suzy needs a raise in her allowance to buy the new iPhone. In order to do so, she must make a total average of 90 in all of her classes. Her science average is an 85, her math average is a 92, her history average is a 95, and her choir class is a 95. Her English class is undetermined as of now. What does Suzy have to make in English to be able to receive her raise?
Answers
Answer:
83
Step-by-step explanation:
Total averages from the known classes
85+92+95+95=367
367+83=450
Divide 450 by the number of classes she has(5)
=90
Don Pedro tenía una parcela de 10 hectareas, vendió la quinta parte y el resto lo dividió entre sus 4 hijos, cuantas hectareas recibió cada uno?
Answers
find the measure of angle STP
Answers
Step-by-step explanation:
∠STP=∠SWT+∠TSW(exterrior ∠ of Δ)
15x=7x+1+7x+6
x=7
When you multiply 2 decimals, how do you know where to place the comma in the product?
Answers
Answer:
you mean the decimal point?
Step-by-step explanation:
You will know when you cross the decimal point when multiplying.
Answer: it would just be like putting a comma normally, just all you have to do is get your new number but then just add both the comma and decimal it shouldn’t effect on where its put! If that’s what your asking!
Step-by-step explanation:
Quick help please!!!
Answers
Answer:
D
Step-by-step explanation:
this isnt highschool, u are dum
Which of the following is the correct expanded form for the series below?
4
Σ-22
»=0
O-1-2-4-8-16
1-2 + 4-8 + 16
O-2-4-8-16
0-2 + 4 - 8 + 16
Answers
Answer:
-1-2-4-8-16
Step-by-step explanation
The solution is, 1-2 + 4-8 + 16, is the correct expanded form for the series Σ-2^n, n = 0 to 4.
What is an exponent in math?An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
here, we have,
given that,
the series Σ-2^n, n = 0 to 4.
now, we have to find,
the correct expanded form for the series ,
as , we get,
the value of n = 0 to 4
so, putting the value of n = 0,1,2,3,4
we get the series as,
Σ-2^n
= -2^0 + (-2)^1 + (-2)^2 + (-2)^3 + (-2)^4
= 1 -2 + 4 - 8 +16
Hence, The solution is, 1-2 + 4-8 + 16, is the correct expanded form for the series Σ-2^n, n = 0 to 4.
To learn more on exponent number click:
brainly.com/question/19467739
#SPJ7
What's 64/4 in the simplest form
Answers
Answer:
16
Step-by-step explanation:
64 divided by 4 is equal to 16.
2. Find the measure of x.
Answers
Answer:
x = 69 degrees
Step-by-step explanation:
180 - 146 = 34
180 - 77 - 34 = 69
x = 69 degrees
4x + (-3) = -11
What is my answer can You please help me
Answers
Answer:
-2
Step-by-step explanation:
Let's solve your equation step-by-step
4x−3=−11
Step 1: Add 3 to both sides
4x−3+3=−11+3
4x=−8
Step 2: Divide both sides by 4
4x
4
=
−8
4
x=−2
Answer:
[tex]4x + ( - 3) = - 11 \\ 4x (- 3) = - 11 \\ 4x = - 11 + 3 \\ 4x = - 8 \\ x = \frac{ - 8}{4} \\ x = - 2[/tex]
wou help video
What is the image of (-9,0) after a dilation by a scale factor of 2 centered at
the origin?
Answers
Answer:
The image is (-18,0)
Step-by-step explanation:
Here, we want to find the image of the given point after dilation by the given scale factor
Mathematically, given a point with the pre-image (x,y) going under the dilation of scale factor k, centered at the origin, the coordinates of the image will be;
(kx , ky)
Applying this in the given scenario, we have
(2(-9) , 2(0))
= (-18,0)
help please! ill mark brainliest!
Answers
Answer:
e=57⁰
d=104⁰
Step-by-step explanation:
in isosceles triangle the side and measures are equal
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Answers
Answer:
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Step-by-step explanation:
Answer:
The Answer is 32
Step-by-step explanation:
8*4=32
4*8 = 32
A grain silo is shaped like a cylinder with a height of 24 feet and a diameter of 10 feet. A farmer wishes to determine how many cubic feet of grain could fit in the silo.
What is the maximum amount of cubic feet of grain that the silo could hold?
O A 7539 cubic feet
B
2400 cubic feet
C
1884 cubic feet
O
D
600 cubic feet
Answers
Answer:
1884.95
Step-by-step explanation:
cylinder volume formula = [tex]\pi[/tex] * height * radius^2
diameter/2 = radius = 10/2 = 5
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Answer:
1884
Step-by-step explanation:
How many minutes would it take a drone to travel 100 km at a speed of 40 km/min?
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Answer:
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Step-by-step explanation:
If you divide them then you get 2.5
Answer:
Kilometers per hour is often used for car speeds. One hour at this speed moves you 100 km
Step-by-step explanation:
i have a headache sorry if wrong
what is 2.006 + 6.001?
Answers
2.006
+ 6.001
__________
8.007
So, therefor, the answer is 8.007.
A TV is originally priced at $350. There is a coupon for 40% off. After the 7% sales tax, what is the price you would pay for the tv
Answers
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Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
750/15=50
(do u mean 7.50 cuz if u did its 0.50 cents)
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Answers
Answer:
x = 60
Step-by-step explanation:
So, ever triangle, no matter what shape or size, is always going to equal 180 degrees. You start off by trying to find angle L which is 71. The way you find this is you subratch 109 from 180 which ultimately gives you 71.
180 - 109 = 71
After that you have to add what you already have (49 degrees) with what you just found (71 degrees)
49 + 71 = 120
Now that you have 120, you have to again subtract 180 by 120 to get your answer, 60 degrees. And that's it.
180 - 120 = 60
What is the range of the function fx) = -2(6x) + 3?
(-∞,-2]
(-∞,3)
[-2,∞)
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Answers
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Answer:
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Step-by-step explanation:
A cube has a side length of 4 feet. What is the volume of the cube?
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Step-by-step explanation:
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FFFFFRrrRRreeeeeeeee PPPPOOOOOIIIINNNNTTTTTSSSSSS
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
that's what gogle said
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
You just need to combine like terms ;)
Hope it helps, let me know
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Answers
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