Answer:


Step-by-step explanation:
Given
Let x represent years and V represents the value.
So, we have:


Solving (a): The linear function
First, we calculate the slope (m)

This gives:



The linear function is calculated using:

Where:


So, we have:

Open bracket


Make v the subject


So, the function is:

Solving (b): When x = 8
Substitute 8 for x in 



Take LCM




<em>Hence, its value after 8 years is 1313.3</em>
<h3>2
Answers: Choice B and Choice D</h3>
==========================================================
Explanation:
Standard form will always have the largest exponents listed first on the left side. Then as you move to the right, the exponents will decrease. Choice B shows this with the exponents counting down (3,2). Choice D is a similar story with the exponents counting down (9,2,1,0). Think of -6x as -6x^1, and also think of the 10 as 10x^0.
Something like choice A is a non-answer because the term with the largest exponent 3 is buried in the middle, and not at the left side. The exponents are not in decreasing order. Choice C can be ruled out for similar reasons.
Side note: the largest exponent is the degree of the polynomial. This only applies to single variable polynomials.
Answer:
<em>t = 1.51</em>
Step-by-step explanation:
<u>Exponential Model</u>
The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.
The model can be expressed as

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.
The value of k is not precisely given in the question, we are assuming 
The model is now

We are required to compute the time it takes the mass to reach one-half of its initial value:

Simplifying

Taking logarithms

Solving for t

Answer:
A is correct ..............
Answer:
<h3>B. -84</h3>
Step-by-step explanation:
Taking the determinant of the matrices we will have;
= 4x(5y) - 2x(3y)
= 20xy - 6xy
= 14xy
Given x = -2 and y = 3
Determinant = 14(-2)(3)
Determinant = -28*3
Determinant = -84