To calculate the mean absolute deviation of
1,2,3,4,5,6,7
, we start by finding the mean;
(1+2+3+4+5+6+7) =28/7
= 4
. Next, we determine the absolute differences of each data point from the mean (x-μ)
= -3,-2,-1,0,1,2,3
. The absolute values are 3,2,1,0,1,2,3
. Now we compute the mean of these absolute differences,
3+2+1+0+1+2+3 = 12
= 12/7
= 1.7143
. Thus, the mean is 4, and the Mean absolute deviation comes out to be 1.7143
The effective annual interest rate calculations yield:
i = (1 + 0.064/12)^12 - 1 = 0.066
For year 1: the interest amounts to $613.80 (calculating $9300 multiplied by 0.066)
For year 2: the interest totals $654.31 (adding year 1’s interest to $9300 and multiplying by 0.066)
For year 3: the interest is $656.98 (following the same process as year 2)
For year 4: the interest is $657.16
The cumulative interest totals: $2582.25
The present value of this sum is:
P = 2582.23 / (1 + 0.066)^4 = $1999.72
Thus, the final answer is $1999.72.
Answer: 56/81
Step-by-step explanation:
refer to the attached document
To determine the number of bags, we simply compute the quotient, which yields:
(12 / 15 pounds) / (1 / 3 pounds) = 2.4 bags
Since bags can't be represented in decimals, only 2 bags can be filled. The remainder is 0.4 which can be expressed as:
0.4 * (1/3) = (2/5) * (1/3) = 2/15 pounds
Answer:
<span>2 bags are filled, with 2/15 pounds of granola remaining</span>
