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Anvisha [2.4K]
3 years ago
13

Find the Exponential Regression using the table. Write the initial amount, common ratio, and equation for the table.

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
7 0

Answer:

Initial amount;

2110.6

Common ratio;

0.0201

Equation;

y=2110.6e^{0.0201x}

Step-by-step explanation:

In this scenario, the  month represents the independent variable x while the membership amount represents the dependent variable y.

The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.

The Ms. Excel output is shown in the attachment below. To obtain the initial amount we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.

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3 years ago
How would I do this with working ?
san4es73 [151]

You Just want to get Fahrenheit alone on one side of the equal sign. Your  teacher forgot to use parenthesis. The correct equation for Celsius to Fahrenheit is: C= \frac{5}{9} (F-32)

Which will give you a completely different answer.... F = \frac{9}{5} C + 32

****

We will solve it using what is given:

C = (5/9)F - 32

C + 32 = (5/9)F

9(C + 32) = 5F

(9/5)(C + 32) = F

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5 0
3 years ago
The figure here shows triangle AOC inscribed in the region cut from the parabola y=x^2 by the line y=a^2. Find the limit of the
aleksandrvk [35]
Area of the parabolic region = Integral of [a^2 - x^2 ]dx | from - a to a =

(a^2)x - (x^3)/3 | from - a to a = (a^2)(a) - (a^3)/3 - (a^2)(-a) + (-a^3)/3 =

= 2a^3 - 2(a^3)/3 = [4/3](a^3)

Area of the triangle = [1/2]base*height = [1/2](2a)(a)^2 = <span>a^3

ratio area of the triangle / area of the parabolic region = a^3 / {[4/3](a^3)} =

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</span>
 



3 0
3 years ago
Please help with #19!
ikadub [295]

Answer:

a) yes

b) 2560

Step-by-step explanation:

An exponential function has a common ratio between points uniformly spaced. Here, the data points are 10 years apart.

The ratio of the first two values is 4000/5000 = 0.8.

The ratio of the next two values is 3200/4000 = 0.8.

These ratios are the same, so the data is consistent with an exponential function.

The common ratio can be used to predict the next value. The next value is predicted to be ...

  3200 × 0.8 = 2560

8 0
3 years ago
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