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statuscvo [17]
1 year ago
6

The population of Ashmore was 925 in 2000 and in 1028 in 2001. the linear model for ashmores population is p= 103t+925, where th

e is the years since 2000.
Find an exponential model, in the form pm a (b)^2, for ashmores population t-ywars after 2000. round b to the nearest thousandth.

How much greater is the population predicted by the exponential model than that predicted by the linear model for the year 2015?
Mathematics
2 answers:
Otrada [13]1 year ago
8 0

Answer:

exponential population is 2035 greater than the linear model.

Step-by-step explanation:

Exponential modal for the population of Ashmore given in the question after 2000 is in the form of population = a.(b)^{2} Or we can the equation in the form of population = a.(r)^{t}

where "a" is the population of Ashmore in 2000 = 925

r = common ration = 1028/925 = 1.1113

t = years

Now we have to calculate the population for the year 2015

=925.(1.1113)^{15}

= 925 × 4.87 = 4505

population predicted by linear model for year 2015

p = 103t + 925

p = 103×15 + 925

p = 2470

Now the difference in exponential model and linear model will be

= 4505 - 2470 = 2035

Sati [7]1 year ago
7 0
Divide known populations:

1028 / 925 = 1.11135

so exponential formula would be 925*1.11135^t

using 15 years:   925 * 1.11135^15 = 4507

linear model: 103(15) +925 = 2470

4507 - 2470 = 2037 more people using exponential

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1 year ago
Mark is making a decoration for a rally, using a string of triangular strips. Each strip is an isosceles triangle when flattened
jeyben [28]

Solution:

Consider the Given Isosceles Triangle

Considering the Possibilities

Case 1. When two equal angles are of 70°

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Keeping in mind , that sum of Interior angles of Triangle is 180°.

70° + 70° + x= 180°

140° +x= 180°

x= 180°- 140°

x= 40°

Case 2:

When an angle measures 70°, and two equal angles measure x°.

Keeping the same property of triangle in mind, that is sum of interior angles of triangle is 180°.

70° + x° + x° = 180°

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5 0
1 year ago
A. Show one pair of corresponding points and two pairs of corresponding sides in the original polygon and its copy. B. what scal
Lera25 [3.4K]

Answer:

Step-by-step explanation:

(A).Two corresponding sides of the given figures will be,

AB and DE

BC and EF

Similarly one pair of corresponding points will be,

A and D.

(B). Since large figure has been scaled to the smaller image,

Scale factor = \frac{\text{Side of the image}}{\text{Side of the actual figure}}

                    = \frac{\text{AB}}{\text{DE}}

                    = \frac{0.5}{2}

                    = 0.25

Therefore, scale factor will be 0.25.

6 0
1 year ago
If a piece of rope cost 20 cents per 2 feet, how many feet can you buy for 30 dollars?
katrin2010 [14]

Answer: 300\ feet

Step-by-step explanation:

Let be "x" the lenght in feet  of rope that you can buy with 30 dollars.

According to the information provided in the exercise, you can buy a piece of rope of 2 feet with 20 cents.

Remember that 20\ cents=0.2\ dollars

Knowing this, you can write the following proportion:

\frac{0.2}{2}=\frac{30}{x}

FInally, solving for "x", you get this result:

\frac{0.2}{2}=\frac{30}{x}\\\\x(\frac{0.2}{2})=30\\\\x=(30)(\frac{2}{0.20})\\\\x=300

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2 years ago
A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget
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         where x is the amount of boxes he bought.
4 0
2 years ago
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