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Monica [59]
4 years ago
6

Many years ago, the towns of Franklin and Chester agreed to begin posting their populations on signs just outside of their towns

. They also agreed to update their signs once per year at the beginning of the year. During year 11, Franklin's sign read : Population of 20,000", while Chester's sign read : Population of 25,000". Each year, the populations grew. Specifically, Franklin's population grew by 5% each year, and Chester's population grew by 500 people each year. What is the first year in which Franklin's sign shows a larger number than Chester's sign?
Mathematics
2 answers:
iVinArrow [24]4 years ago
4 0

Answer:

The answer is 9

Step-by-step explanation:

telo118 [61]4 years ago
3 0

Answer:

9

Step-by-step explanation:

just 9

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The expression cosine of pi over 2 times cosine of pi over 3 plus sine of pi over 2 times sine of pi over 3 can be rewritten as
9966 [12]

Solution:

Given;

\cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}

Using the identities;

Thus;

\begin{gathered} \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{2}-\frac{\pi}{3}) \\  \\ \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{6}) \end{gathered}

CORRECT OPTION: A

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1 year ago
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melomori [17]

Answer: D

Step-by-step explanation:

7 0
3 years ago
Jonathon kicks a kickball into the air. The height of the ball in feet can be determined using the equation h(t) = 32t - 16t^2 w
Len [333]

Answer:

Step by step: x-intercepts

8 0
3 years ago
a bookseller prices a particular book by raising its wholesale price 60% and then adding $0.75. what is the wholesale price of t
MissTica
Let's named wholesale price with variable x.

The appropriate equation is

1.6 x + 0.75 = 18.75 => 1.6x = 18.75 - 0.75 => 1.6x = 18 => x= 18/1.6

x= 11.25$        The wholesale price is 11.25$

Good luck!!!!
4 0
3 years ago
A line passes through the point (-10,-1) and is parallel to the line with equation y=2x-9
rosijanka [135]

Answer:

<h2>         y = 2x + 19</h2>

Step-by-step explanation:

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 2x - 9    ⇒   m₁ = 2    ⇒    m₂ = 2

The point-slope form of the equation of a line: y - y₁ = m(x - x₁),

m is the slope and (x₁, y₁) is the point the line passes through.

m = 2

(-10, -1)   ⇒   x₁ = -10,  y₁ = -1

point-slope form:

y - (-1) = 2(x - (-10))

y + 1 = 2x + 20            {subtact 1 from both sides}

y = 2x + 19        ←    slope-intercept form

3 0
3 years ago
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