Given:
Future value, F=60508.29
Monthly payment, A = 165
Compounding period = month
Number of periods, n = 12*12=144
interest per period = i [ to be found ]
We have the relationship
F=A((1+i)^n-1)/i
but there is no explicit formula for i for given F, A and n.
We need to solve a non-linear equation for the value of i, the monthly interest rate.
One of the ways is to solve it by fixed iteration, i.e.
1. using the given relation, express i in terms of other parameters.
2. select an initial value of i
3. evaluate i according the equation in step 1 until the value is stable.
Here we will use the relationship to express
i=((60508.29*i)/165+1)^(1/144)-1 [ notice that i is on both sides of = sign ]
using an initial value of i=0.01 (about 1% per month).
Successively, we get
i=((60508.29*0.01)/165+1)^(1/144)-1=0.01075571
i=((60508.29*0.01075571)/165+1)^(1/144)-1=0.011160681, similarly
i=0.0113685
i=0.0114728
i=0.0115246
i=0.0115502
i=0.0115628
i=0.0115690
i=0.0115720
Assuming the above has stablilized, and the APR is 12 time the above value, namely
Annual percentage rate = 0.01157205998210142*12=0.13886=13.89%
The correct answer is 2.2 hours.
I<span>f Eva uses the earliest due date priority rule, the order of the dresses will be as follows: W (1 hour processing time, 1 hour due); Y (2 hrs processing time, 3 hrs due); V (3 hrs processing time, 5 hrs due); Z (5 hrs processing time, 7 hrs due); X (4 hrs processing time, 9 hrs due).</span>
It's easier to do the next step using real numbers. For example, if it's 11am now and W is due in 1 hour, then W is due at noon. If Y is due in 3 hours, then Y is due at 2pm, etc. Then, you need to use the processing time to see how long it will take to make the dresses. For example, since W takes one hour to process, it will be done by noon, its due date.
This means that W and Y will be altered on time, V will be 1 hour late, Z will be 4 hours late, and X will be 6 hours late. To find the average tardiness, add these extra hours (1+4+6) = 11, and divide by the total number of dresses (even the ones that weren't late) 5: 11/5 = 2.2 hours.
Answer:
a. $8,000 gain
Explanation:
The face value of the bonds purchased by Pluto Corporation are $120,000. The bonds are purchased at discount of $1,980. The bonds have carrying value of $126,019 at the time of purchase. The net gain or loss is calculated by the difference between two values.
$120,000 - $126,019 - $6,019
The discount amount of the bond was $1,980.
Total gain on the bonds approximately ($6,019 + $1,980) = $8,000
Answer:
football,volleyball,tennis, basketball or
singing,dancing e.t.c
