Answer:
$471.65
Step-by-step explanation:
-The value of the laptop after each year is calculated by the formula:

where:
is the value at time t
is the initial value
is the rate of depreciation
is the time
#We substitute the values to solve for the value after 3 years(2010-2007=3):

Hence, the value of the laptop in 2010 is $471.65
Answer:
73.5 ....................
Answer:

Step-by-step explanation:
We are given:

![interval = [a,b] = [0,2]](https://tex.z-dn.net/?f=interval%20%3D%20%5Ba%2Cb%5D%20%3D%20%5B0%2C2%5D)
Since
⇒ 
Riemann sum is area under the function given. And it is asked to find Riemann sum for the left endpoint.

Note:
If it will be asked to find right endpoint too,

The average of left and right endpoint Riemann sums will give approximate result of the area under
and it can be compared with the result of integral of the same function in the interval given.
So, 

Result are close but not same, since one is approximate and one is exact; however, by increasing sample rates (subintervals), closer result to the exact value can be found.
240,000 = 24 x 10⁴
240,000 = 240 x 10³