Answer:
9.354kg
Step-by-step explanation:
Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
Answer:
b. 144.8
Step-by-step explanation:
When calculating the moving average estimate of an observation , each of the observations are usually computed with the same weighted . In some cases, it is beneficial to assign different weight on the observations such that the observation closer to the time period being forecast, has higher weight. This is refer to as weighted moving average technique. The sum of the individual weight in a weighted moving average technique must equal to 1.
The three-period weighted moving average forecast for period 5 = 144*0.5 + 148 *0.3 + 142 *0.2 = 144.8
Answer:
Slope of the line = 1
Step-by-step explanation:
A line with two points, we are asked to find the slope
We are using the formula
m = (y_2 - y_1) /( x_2 - x_1)
We are provided with some points
( -9 , -9) ( -6 , -6)
x_1 = -9
y_1 = -9
x_2 = -6
y_2 = -6
Insert the values into the equation
m = (y_2 - y_1) / (x_2 - x_1)
m = ( -6 - (-9)) / ( -6 - (-9))
Hint: - * - = +
m =( -6 + 9) / ( -6 + 9)
= 3 / 3
= 1
Slope m = 1
Therefore, the slope of the line = 1
Answer:
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