Answer:
Step-by-step explanation:
The formula for the future value (FV) of an investment earning compound interest is
where
PV = the present value (PV) of the money invested
r = the annual interest rate expressed as a decimal fraction
t = the time in years
n = the number of compounding periods per year
Data:
FV = $7100
r = 8 % = 0.08
t = 7 yr
n = 2
Calculation:
Answer:
D. Kepa will be paid $4 for every hour of babysitting plus $2 for travel
costs.
Step-by-step explanation:
Are you sure that 7 belongs on the +27? or is it just supposed to be +2?
We will use the right Riemann sum. We can break this integral in two parts.
We take the interval and we divide it n times:
The area of the i-th rectangle in the right Riemann sum is:
For the first part of our integral we have:
For the second part we have:
We can now put it all together:
![\sum_{i=1}^{i=n} [(\Delta x)^4 i^3-6(\Delta x)^2i]\\\sum_{i=1}^{i=n}[ (\frac{3}{n})^4 i^3-6(\frac{3}{n})^2i]\\ \sum_{i=1}^{i=n}(\frac{3}{n})^2i[(\frac{3}{n})^2 i^2-6]](https://tex.z-dn.net/?f=%5Csum_%7Bi%3D1%7D%5E%7Bi%3Dn%7D%20%5B%28%5CDelta%20x%29%5E4%20i%5E3-6%28%5CDelta%20x%29%5E2i%5D%5C%5C%5Csum_%7Bi%3D1%7D%5E%7Bi%3Dn%7D%5B%20%28%5Cfrac%7B3%7D%7Bn%7D%29%5E4%20i%5E3-6%28%5Cfrac%7B3%7D%7Bn%7D%29%5E2i%5D%5C%5C%0A%5Csum_%7Bi%3D1%7D%5E%7Bi%3Dn%7D%28%5Cfrac%7B3%7D%7Bn%7D%29%5E2i%5B%28%5Cfrac%7B3%7D%7Bn%7D%29%5E2%20i%5E2-6%5D)
We can also write n-th partial sum:
Answer:
negative number
Step-by-step explanation:
Numerator is 125 as dividing makes 875/1000
Numerator is 0.875 we can divide again by 8.75/10
we find that 0.875 = 875/1000 is equivalent to 7/8
