Answer:

Step-by-step explanation:
let the number be 'x'.
According to the statement given above:

or

Factorizing the quadratic equation for 'x'
Taking common from the equation:

The solution of the equation is 
Answer:
a) The model for the sales of Garmin is represented by
.
b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.
Step-by-step explanation:
a) The model for the sales of Garmin is obtained by integration:

(1)
Where
is the integration constant.
If we know that
and
, then the model for the sales of Garmin is:


The model for the sales of Garmin is represented by
.
b) The average sales of the Garmin from 2008 through 2013 (
) is determined by the integral form of the definition of average, this is:
(2)
![\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt](https://tex.z-dn.net/?f=%5Cbar%20S%20%3D%20%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%5Cint%5Climits%5E%7B13%7D_%7B8%7D%20%7B%5Cleft%5B-%5Cfrac%7B81%7D%7B2500%7D%5Ccdot%20t%5E%7B3%7D%20%2B%20%5Cfrac%7B267%7D%7B250%7D%5Ccdot%20t%5E%7B2%7D-11.9%5Ccdot%20t%20%2B%2047.112%20%20%5Cright%5D%7D%20%5C%2C%20dt)
![\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right]](https://tex.z-dn.net/?f=%5Cbar%20S%20%3D%20%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%5Cleft%5B-%5Cfrac%7B81%7D%7B10000%7D%5Ccdot%20%2813%5E%7B4%7D-8%5E%7B4%7D%29%20%2B%5Cfrac%7B89%7D%7B250%7D%5Ccdot%20%2813%5E%7B3%7D-8%5E%7B3%7D%29%20-%5Cfrac%7B119%7D%7B20%7D%5Ccdot%20%2813%5E%7B2%7D-8%5E%7B2%7D%29%20%2B47.112%5Ccdot%20%2813-8%29%20%20%20%5Cright%5D)


The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.
The answer is the distributive property
Answer:
$600 interest will be paid in the first 5 years
Step-by-step explanation:
Simple interest is calculated only on the principal or initial amount deposited. Jim deposits 6000 into an account that pays simple interest at a rate of 2% per year. The formula for simple interest is expressed as
I = PRT/100
Where
I represents interest after the given time.
R represents the interest loan on the principal.
T represent number of time in years.
P represents principal or initial amount deposited.
From the information given,
R = 2
P = 6000
T = 5
I = (6000 × 2 × 5)/100 = $600