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>
$1,603.31</span>
Answer:
B 6.00
Step-by-step explanation:
M= 6$
C= 9$
M+C= 6+9= 15$ per hour
We can subtract t from both sides to get...
x+t = 3.45
x+t-t = 3.45-t
x = 3.45-t
I believe this question logically tells us to find the value of w. The two equations are already equated. Since there is 1 unknown and 1 equation, the system is solvable. The solution is as follows:
5/(6w+21) = -1/3(2w - 9)
5/(6w+21) = -1/(6w - 27)
Cross multiplying the terms:
5(6w - 27) = -1(6w +21)
30w - 135 = -6w - 21
30w + 6w = -21 + 135 = 114
36w = 114
w = 114/36
w = 19/6 or 3.167