Answer:
g(t) = 10000(0.938)^t
Step-by-step explanation:
Given data:
car worth is $10,000 in 2012
car worth is $8000 in 2014
let linear function is given as
P(t) = at + b
which denote the value of car in year t
take t =0 for year 2012
at t =0, 10,000 = 0 + b
we get b = 10,000
take t =2 for year 2014
at t =2, P(2) = 2a + b
8800 = 2a + 10,000
a = - 600
Thus the price of car at year t after 2012 is given as p(t) = -600t + 10000
let the exponential function 
where t denote t = 0 at 2012
putting t = 0 P(0) = 10,000 we get 10,000 = ab^0
a = 10,000
putting t = 2 p = 8800
b = 0.938
g(t) = 10000(0.938)^t
Answer:
<em>Tadeo Volunteered for 12 hours while Dylan volunteered for 2 hours</em>
Step-by-step explanation:
Let the total number of hours Tadeo volunteered be x
Let the total number of hours Dylan volunteered be y
If together they volunteer at a total of 14 hours, then;
x + y = 14 ...... 1
If<em> </em>Tadeo Volunteered at the library six times as many hours over the weekend as Dylan, then;
x = 6y
Substitute x = 6y into 1;
6y + y = 14
7y = 14
y = 14/7
y = 2
Since x = 6y
x = 6(2)
x = 12
<em>Hence Tadeo Volunteered for 12 hours while Dylan volunteered for 2 hours</em>
Ok, so first of all, you need to plug the functions into their places. Since f(x) = 6x and g(x) = x + 3, you'll plug them in accordingly:
(6x) * (x + 3).
Then you'll multiply them together to get 6x^2 + 18x. You can't combine like terms then because of the square in the first term.
So your final answer is 6x^2 + 18x.
I hope this helps you at least a little bit. Thanks for your time!
The correlation coefficient (r) is a number that describes how closely the numbers in the data set are related. The correlation coefficient will always be between −1.0 and +1.0. If the correlation is positive, there is a positive relationship. If it is negative, the relationship is negative. If the two are not correlated at all, the correlation coefficient will be 0. Strong and weak correlations are a little more subjective in that there is no exact cutoff between strong and weak, but generally, any r value that is close to either 1 or negative 1 is considered strong. Any value of r that is closer to 0 is considered weak.
