Starting amount : 650
charge per week : 20 bucks
21-6=15
The range of the set is 15
Answer:
$233.39
Step-by-step explanation:
Pants = $82, 2 Shirts = $53 * 2, Shoes = $120
Add all these values up to find the total cost of your order excluding tax.
82 + 53(2) + 120 = 308
Next find the price w/ tax. Multiply 308 by 8.25%, or 0.0825.
308 * 0.0825 = 25.41
Now you add the tax to the total value.
308 + 25.41 = 333.41
The total value including tax is $333.41. The online retailer is offering a 30% savings (discount), so multiply the total price including tax by 30% (0.30).
333.41 * 0.30 = 100.023
Now you subtract the discount from the total price.
333.41 - 100.023 = 233.38700
The question say the answer rounded to the nearest cent or hundredths, so your final answer is 233.39.
The final price of the clothing including all discounts and taxes is $233.39.
Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:
![\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac2n%5Cright%5D%2C%5Cleft%5B%5Cdfrac2n%2C%5Cdfrac4n%5Cright%5D%2C%5Cleft%5B%5Cdfrac4n%2C%5Cdfrac6n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7B2%28n-1%29%7Dn%2C2%5Cright%5D)
Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,

where
. Each interval has length
.
At these sampling points, the function takes on values of

We approximate the integral with the Riemann sum:

Recall that

so that the sum reduces to

Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:

Just to check:
