The exponential function that gives the relationship between y and t is:
.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
In this problem, the parameters are given as follows:
A(0) = 370000, r = 0.06.
Hence the equation is:



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Plugging in the value "a = 7" and "b = -2" in the above expression, we have
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Answer:
Yes, those are the first triangular numbers.
There is a relation between the number and its position but isn't direct.
Step-by-step explanation:
The triangular numbers can be represented by equilateral triangles, but also can be represented by:

where:
n, represents the position
T represent the triangular number.
As you may see, the equation of triangular numbers is not a straight line. It is a parable. For that reason there isn't a direct variation.
Answer:
<h2>n = -7/2</h2>
Step-by-step explanation:
Given the equation 4n^2 +28n +49, to get the factors of the equation, we need to factorize the equation completely as shown;
= 4n² +28n +49
Using the general formula n = -b±√b²-4ac/2a
from the equation: a = 4, b = 28 and c = 49
n = -b±√b²-4ac/2a
n = -28±√28²-4(4)(49)/2(4)
n = -28±√784-784/8
n = -28±√0/8
n = -28/8
n = -7/2
The factor of the given function is -7/2