To solve this we are going to use the formula for compounded interest:

where

is the final amount after

years

is the initial amount

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the time in years
We know for our problem that

,

, and

. Since the interest is compounded daily, it is compounded 365 times in year; therefore,

. Lets replace those values in our formula to find

:



We can conclude the amount in Diane's after 3 years will be <span>
$1,603.31</span>
Given;
6Ln (x + 2.8) = 9.6
We will transpose 6 in the Ln, so that we will leave Ln alone.
Ln (x + 2.8) = 9.6/6 = 1.6
we divide the 9.6 to 6 and we get 1.6
x + 2.8 = e^1.6
e^ for the substitution of Ln
x = e^1.6 - 2.8
insert the e^(1.6) in the calculator and you will get 4.95303242439511 and subtract 2.8 and you will get the answer.
x = 2.153
2.153 is the final answer in this question.
Ok so grapes,
We have 4 servings and 9.88 grams total, so to find one serving we just need to divide by 4.
9.88/4 = 2.47 per serving
Number of proper subsets = 2^number of elements- 1
= 2^n - 1
No of elements = 4
2^4-1 = 16-1 = 15