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34kurt
4 years ago
6

The population of a town grows at a rate proportional to the population present at time t. the initial population of 500 increas

es by 15% in 10 years. what will be the population in 50 years? (round your answer to the nearest person.)
Mathematics
1 answer:
vaieri [72.5K]4 years ago
5 0
This is a case of exponential growth.  The appropriate equation, with the given data inserted, is     P(t) = 500 ( 1+0.15)^50

or                                   = 500 (1.15)^50

Evaluate this on your calculator.
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What is the solution of the following systems of equations? y = 1/2x <br> y = -x -3
SVEN [57.7K]

Answer:

<em>x = -2,  y = -1</em>

Step-by-step explanation:

<u>System of Equations</u>

Solve the system:

y = 1/2x

y = -x - 3

Multiplying the first equation by 2:

2y = x

Substituting x in the second equation:

y = -2y - 3

Adding 2y:

3y = -3

y = -3/3

y = -1

And x = 2*(-1) = -2

Solution: x = -2,  y = -1

7 0
3 years ago
The Angle of depression from the top of the flagpole to an object on the ground it's 33° if the object is 60 feet from the base
N76 [4]

Answer:

The flag pole is 38.96 feet tall.

Step-by-step explanation:

The angle of depression from the top of the flagpole to an object on the ground is 33°.

The object is 60 feet from the base of the cliff.

We need to find the height of the flag pole.

Here, base, B = 60 feet

We know that,

\tan\theta=\dfrac{P}{B}

Put all the values to find P.

P=B\times \tan\theta\\\\P=60\times \tan(33)\\\\P=38.96\ ft

So, the flag pole is 38.96 feet tall.

6 0
2 years ago
mary will spin the spinner below 150 times. about how many times should mary expect the spinner to land on a number greater than
irga5000 [103]

Answer:

56 times (This is still assuming 1 isnt an option)

Step-by-step explanation:

0,2,3,4,5,6,7,8

There are 8 options, 3 of which are greater than 5

3/8

3/8 = x/150

3*150 = 450

8 * x = 8x

8x = 450

450/8  = 56.25

56 times

-- Gage Millar

5 0
2 years ago
In the given figure poq is a line. if x=30 then find qor and ros​
LuckyWell [14K]

Answer:

2y + 3y + x = 180 \\ 5y + 30 = 180  \\ 5y = 180 - 30 \\ 5y = 150 \\ y = 30

QOR =3Y

=3×30

=90°

ROS = 2Y

=2×30

=60°

3 0
2 years ago
HELP WILL MARK BRAINLIEST
kobusy [5.1K]

Answer:

(16)(1)                          => identity property of multiplication

2(3+7) = 2(3) + 2(7)    => distributive property

(2+6) + 3 = 2+ (6+3)   => associative property

9+0 = 9                      => identity property of addition

8 x 4 = 4 x 8              => commutative property

5 0
3 years ago
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