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Komok [63]
3 years ago
6

In 2006, the population of Tewksbury, Rhode Island was 25,000, and it was growing at an annual rate of 2.2%. What is the growth

factor for the town? Write an equation to model Tewksbury’s growth. Use your equation to estimate the population of Tewksbury in 2011. Round your response to the nearest whole number.
Mathematics
2 answers:
Shtirlitz [24]3 years ago
7 0
Tewksbury Population In 2011

=
25000 {( {1.022)}^{2011 - 2006} }
= 27,874
katen-ka-za [31]3 years ago
3 0

Answer:

The growth factor is 1.022

y = (25000) (1.022)^x

y =27874 people in 2011

Step-by-step explanation:

Exponential growth is modeled by the equation

y= a b^x

where a is the initial amount and b is 1 + the growth percent  and x is the time in years

a =25000

b = 1+.022 = 1.022


y = (25000) (1.022)^x

We need to find the population ins 2011

2011-2006 is 5 years  so x=5

y = 25000 (1.022)^5

y = 27873.7 people

Rounding because we don't have parts of people

y =27874 people


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The sum of these fractions is between which two whole numbers?
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3 4/6 + 1 3/6 = 4 7/6 = 5 1/7
Therefore the answer is B. the sum is between 5 and 6

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4 0
3 years ago
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A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card be
densk [106]

Answer:

Discrete; number of Months after the first year; amount remaining on the card.

Step-by-step explanation:

The value of the card strictly loses $2.50/month after the first year of purchase. This means that the values can only be $22.50, $20, etc. If it were continuous, it would lose an amount that led up to $2.50, meaning that you could have values such as $23.48 and $24.07. We cannot have these values, therefore the relationship is discrete.

As time passes, the amount of money in the card changes. As the amount of money in the card depends on the number of months, we can say that the number of months is the independent variable while the amount of money on the card is the dependent variable.

Hope this helps.

8 0
2 years ago
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The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used
e-lub [12.9K]
The answer is:
a = c ÷ 2
b = P - a - c

The perimeter is the sum of all sides of a polygon. The perimeter of the triangle is:
P = a + b + c
where
P - perimeter of the triangle,
a, b, c - sides of the triangle.

It is given: 
P = 14.5 cm
c = 6.2 cm

If, t<span>he longest side (c) is twice that of the shortest side (a), then
c = 2a
</span><span>Therefore, the equation that can be used to find the length of the shortest side is <u>a = c ÷ 2</u>.</span><span>

</span>⇒ a = c ÷ 2 = 6.2 cm ÷ 2
⇒ a = 3.1 cm

By knowing two sides (c and a) and perimeter (P), we can calculate the length of the third side (b).
If P = a + b + c, then <span>the equation that can be used to find the length of the side b is <u>b = P - a - c</u>.

</span>⇒ b = P - a - c = 14.5 cm - 6.2 cm - 3.1 cm
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</span>
6 0
2 years ago
A company is making a new label for one of their containers. The container is a cylinder that is 9 inches tall and 5 inches in d
nydimaria [60]

Answer:

180.55 in².

Step-by-step explanation:

Data obtained from the question include the following:

Height (h) = 9 in.

Diameter (d) = 5 in

Pi (π) = 3.14

Area of the label =..?

Next, we shall determine the radius.

Diameter (d) = 5 in

Radius (r) =.. ?

Radius (r) = Diameter (d) /2

r = d/2

r = 5/2

r = 2.5 in.

Next, we shall determine the area of the label that needs to be printed to go around the new container by calculating the surface area of the cylinder.

This is illustrated below:

Height (h) = 9 in.

Pi (π) = 3.14

Radius (r) = 2.5 in.

Surface Area (SA) =.?

SA = 2πrh + 2πr²

SA = (2×3.14×2.5×9) + (2×3.14×2.5²)

SA = 141.3 + 39.25

SA = 180.55 in²

The surface area of the cylinder is 180.55 in².

Therefore, the area of the label that needs to be printed to go around the new container is 180.55 in².

5 0
3 years ago
The Perpendicular to Parallels Theorem is based on
nirvana33 [79]
Two lines that meet to form congruent adjacent angles.
4 0
3 years ago
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