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musickatia [10]
4 years ago
10

Over the last 40 years, the population of a city has increased by roughly 2% each year. If the population was 220,000 at the beg

inning of this period Test Image, what was the population 10 years later?
Mathematics
1 answer:
Aneli [31]4 years ago
3 0
The '40 years' is not part of the question.  It's just there to prove that
'2% each year' has been the experience for the past 40 years, so it's
a good number to use for the rate of growth, past or future.

So, at any number of years 'Q' after the beginning of "this period",
the population was or will be

         Pop = (220,000) (1.02)^Q power.

(This equation is familiar from all of the bank-interest problems
the student has done in past math classes.)

In 10 years after the beginning of "this period",

         Pop = (220,000) (1.02)¹⁰ = <em>243,800 </em>(or any reasonably close number)

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Determine whether the equation defines y as a function of x.<br> x+y=9 and x^2+y^2=1 and x=y^2
Murrr4er [49]

Answer:

Function: x+y=9

Not Function: x^2+y^2=1    and     x=y^2

Step-by-step explanation:

Given

x+y=9

x^2+y^2=1

x=y^2

Required

Determine if y is a function of x

Solving x+y=9

x+y=9

Make y the subject of formula

y = 9 - x

<em>Hence; y is a function of x</em>

Solving x^2+y^2=1

x^2+y^2=1

Subtract x² from both sides

y^2=1 - x^2

Square root of both sides

y =\± \sqrt{1 - x^2}

This implies that

y =\sqrt{1 - x^2}     or     y =-\sqrt{1 - x^2}

<em>Because </em>y<em> can be any of those two expressions, it is not a function.</em>

Solving x=y^2

x=y^2

Reorder

y^2 = x

Take square roots

y = \±\sqrt{x}

This implies that

y = \sqrt{x}      or        y = -\sqrt{x}

<em>Because </em>y<em> can be any of those two expressions, it is not a function.</em>

4 0
3 years ago
HELP ASAP
blsea [12.9K]

Answer:

Step-by-step explanation:

Yeo

3 0
3 years ago
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Ryan went to the store to buy some apples. The price per pound of the apples is $4.25
Marizza181 [45]

Answer:

see below

Step-by-step explanation:

Cost for 5 pounds of apples:

  ($4.25 * 5 pounds) - $2 coupon

  21.25 - 2

  19.25

Cost of apples with p pounds:   4.25p

If one pound was purchase: 4.25p = 4.25(1) = 4.25

8 0
3 years ago
Read 2 more answers
I need help with this problemmm, someone help mee!!.
Varvara68 [4.7K]

Answer:

∠A=30°

Step-by-step explanation:

let's call the angle at the bottom B and the one next to the 130 C

∠A=3x-6

∠C=180-130= 50°

vertical angles are equal∠B =8x+4

∠A+∠C+∠B=180°

find x:

3x-6+50+8x+4= 180°

11x+48=180°

11x= 132

x=12

find ∠A

∠A=3x-6= 3(12)-6 =30°

5 0
3 years ago
Use the net below to determine the surface area of the cylinder. (Use 3.14 for Tr.)
baherus [9]

Option D:

Surface area of the cylinder = 753.6 cm²

Solution:

<u>To find the surface area of the cylinder:</u>

Given data:

Radius of the cylinder = 6 cm

Height of the cylinder = 14 cm

The value of π = 3.14

Surface area of the cylinder = 2 \pi r^{2}+2 \pi r h

                                              =2\times 3.14\times6^2+2\times3.14\times 6 \times14

                                              = 226.08 + 527.52

                                              = 753.6 cm²

Surface area of the cylinder = 753.6 cm²                          

Option D is the correct answer.

8 0
4 years ago
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