Answer:
y=8(3)^x
y=8(3)
x
Step-by-step explanation:
8 and 1/5 = 41/5
4 and 2/5 = 2255
41-22=19 so 19/5
19/5=3 with a remainder of 4
so the answer is 3 and 4/5
Given Information:
Annual interest rate = r = 12%
Principal amount = P = $1000
Number of years = t = 3
Required Information
Accumulated amount = A = ?
Answer:
Annual compounding = A = $1404.93
Semi-annuall compounding = A = $1418.52
Quarterly compounding = A = $1425.76
Monthly compounding = A = $1432.30
Daily compounding = A = $1433.14
Step-by-step explanation:
The accumulated amounts in terms of compound interest is given by
Where P is the initial amount invested and A is the accumulated amount.
For annual compounding:
i = 0.12
N = 3
For semiannually compounding:
i = 0.12/2 = 0.06
N = 2*3 = 6
For quarerterly compounding:
i = 0.12/4 = 0.03
N = 4*3 = 12
For monthly compounding:
i = 0.12/30 = 0.004
N = 30*3 = 90
For daily compounding:
i = 0.12/365 = 0.0003287
N = 365*3 = 1095
Direct variation is of the form
y= mx
2x-4y = 0
2x = 4y
4y = 2x
y = 2/4 x
y =(1/2)x
which is indeed of the form y = mx
Hence, the equation does represent direct variation.
in y= mx,
the constant of variation is m
so in y = (1/2)x
the constant of variation is 1/2
Answer:
A. 756
B. 69.44 or 62.5
Step-by-step explanation:
To get the answer for B you first convert 0.5mm to micrometers.
0.5 millimeters = 500 micrometers
Now, we divide 500 by 8
500 ÷ 8 = 62.5
To get the exact result, we divide 500 by 7.2
500 ÷ 7.2 = 69.44