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
What's 64/4 in the simplest form
Answers
Answer:
16
Step-by-step explanation:
64 divided by 4 is equal to 16.
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
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
Answer: $234.5
Step-by-step explanation: when you get a 40% off that means you would pay 60% but then you have to play 7% so you have to pay 67% of 350 wich is 234.5
Answer:
$149.8
Step-by-step explanation:
40% of 350 is 140
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Answers
Answer:
e=57⁰
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Step-by-step explanation:
in isosceles triangle the side and measures are equal
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
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:
If we give the cashier a $20 bill for a shirt that costs $22.95, how much more do we owe the cashier?
Answers
Answer:
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Step-by-step explanation:
$22.95-$20
explanation:
20 - 22.95 = -2.95
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Answers
Answer:
a
Step-by-step explanation:
the answer is a. 6 faces 12 edges and 8 vertices
Answer:
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Step-by-step explanation:
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Answers
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Answers
Answer:
your answer will be option B
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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 ;)
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Answers
Answer:
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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
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Step 2: Divide both sides by 4
4x
4
=
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4
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Answer:
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Answers
Answer:
Step-by-step explanation
B<-35
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Answers
2.006
+ 6.001
__________
8.007
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Answers
Answer:
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Step-by-step explanation:
that's what gogle said
Answer:
15
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Answers
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Answer:
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FFFFFRrrRRreeeeeeeee PPPPOOOOOIIIINNNNTTTTTSSSSSS
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Answer:
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Answers
Answer:
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Step-by-step explanation:
wou help video
What is the image of (-9,0) after a dilation by a scale factor of 2 centered at
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Answers
Answer:
The image is (-18,0)
Step-by-step explanation:
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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;
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Applying this in the given scenario, we have
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B
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C
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O
D
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Answers
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Step-by-step explanation:
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Answers
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Answer:
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Answers
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Step-by-step explanation:
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Step-by-step explanation: