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baherus [9]
3 years ago
7

The population of a town is 12,000, and it grows at a rate of 5% per year. Write an exponential function in the form

ttps://tex.z-dn.net/?f=y%3Dab%5E%7Bx%7D" id="TexFormula1" title="y=ab^{x}" alt="y=ab^{x}" align="absmiddle" class="latex-formula"> that represents the situation
Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer: Exponential function: y=12000(1.05)^x

Step-by-step explanation:

Exponential function: y=ab^x , a = initial value , x= time,  b= growth factor , b= 1+r , where r=rate of growth.

Given: Initial population = a= 12,000,

rate of growth = r= 5% = 0.05

Then, b=  1+r= 1+ 0.05 = 1.05

Substitute value of a and b in (i), we get

y=12000(1.05)^x

Hence, The required exponential function: y=12000(1.05)^x, where x= time.

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4^12*6^15*7^21<br><br> HEELPOOOOPO
Varvara68 [4.7K]

9514 1404 393

Answer:

  4^4·6^5·7^7 = 1,639,390,814,208

Step-by-step explanation:

Taking the cube root multiplies each exponent by 1/3.

  ((4^12)(6^15)(7^21))^(1/3) = (4^(12/3))·(6^(15/3))·(7^(21/3)) = (4^4)(6^5)(7^7)

6 0
2 years ago
Solve the following inequality: 3-5x-x^2&gt;=0
Dennis_Churaev [7]

Answer:

-5/2+-1/2√37≤x≤-5/2+1/2√37

Step-by-step explanation:

Step 1: Find the critical points

-x^2-5x+3=0

For this equation: a=-1, b=-5, c=3

−1x^2+−5x+3=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(−1)(3)/2(-1)

x=5±√37 /−2

x=-5/2+1/2√37

Step 2: Check intervals in between critical points

x≤-5/2+1/2 √37 (Doesn't work in original inequality)

-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)

x≥-5/2+1/2 √37 (Doesn't work in original inequality)

5 0
3 years ago
Please list a reason why scientific notation is important thank youuu !!
otez555 [7]

The primary reason why scientific notation is important is that it allows us to convert very large or very small numbers into much more manageable sizes. When these numbers are in scientific notation, it is much easier to work with them
6 0
2 years ago
A rocket is launched in the air. The graph below shows the height of the rocket hh in meters after tt seconds.
fgiga [73]

Answer:

The answers are=

  1. (38, 0)
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3 0
2 years ago
Helppppppppppppppppppppp
egoroff_w [7]

Answer:

a, c

Step-by-step explanation:

Let's start with one of each choice. That'll be 3 * 4 * 3 * 3 * 10 = 1080 pizzas. As for the second one, this time the toppings won't be 10 it will be 10 * 9 * 8 because we have 10, and then 9, and then 8 topping choices. This gives us 1080 * 9 * 8 = 77,760. Hope this helps!

4 0
3 years ago
Read 2 more answers
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