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fiasKO
5 days 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:
tester [3.9K]5 days ago
8 0

Answer:

The exponential population is 2035 more than what the linear model predicts.

Step-by-step breakdown:

The exponential model for Ashmore's population post-2000 is expressed as population = a.(b)^{2} or population = a.(r)^{t}

In this case, "a" refers to Ashmore's population in 2000, which is 925.

r = growth factor = 1028/925 = 1.1113

t = number of years

Now we calculate the population for the year 2015:

=925.(1.1113)^{15}

= 925 × 4.87 = 4505

Population assessed via linear model for 2015:

p = 103t + 925

p = 103×15 + 925

p = 2470

The difference between the exponential and linear models is:

= 4505 - 2470 = 2035

tester [3.9K]5 days ago
7 0
To find the populations, perform the following calculation:

1028 / 925 = 1.11135

Hence, the exponential equation will be 925*1.11135^t

Calculating for a duration of 15 years: 925 * 1.11135^15 = 4507

For the linear model: 103(15) +925 = 2470

The difference between the exponential and linear predictions is 4507 - 2470 = 2037.
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babunello [3635]

Answer:

n = 3

XY = 39

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Step-by-step explanation:

Given

XY = 9n + 12

XZ = 15n - 6

Solving for (a): n

To find n;

We will utilize

XY = XZ

Substituting values for XY and XZ

9n + 12 = 15n - 6

9n - 15n = -12 - 6

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Dividing by -6

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Solving for (b) XY

XY = 9n + 12

Substituting 3 for n

XY = 9 * 3 + 12

XY = 27 + 12

XY = 39

Solving for (c): XZ

XZ = XY

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3 0
10 days ago
A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two
babunello [3635]

Answer:

A is TRUE (44 in² * 2 = 88 in²).

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Step-by-step explanation:

Please correct me if I'm mistaken.

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